use these two graphs to answers questions for 4 and 5
why do these graphs represent functions? explain.
Answers
The 2 graphs are of parabolas .
A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola. Also, an important point to note is that the fixed point does not lie on the fixed line. A locus of any point which is equidistant from a given point (focus) and a given line (directrix) is called a parabola. Parabola is an important curve of the conic sections of the coordinate geometry.
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Related Questions
which term best describes the number of solutions that will maximize the function below given the constraints listed? (assume that and .) 3x 2y a. one optimal solution c. unbounded b. alternate optimal solutions d. infeasible please select the best answer from the choices provided a b c d
Answers
Final answer:
The best term that describes the number of solutions that will maximize the function is one optimal solution (a)
What exactly do you mean by a practical solution ?
A practicable solution is one that complies with all limitations and specifications. When all of the requirements and constraints cannot be satisfied by any combination of decision variable values, a solution is deemed to be infeasible. The parabola's highest or lowest point represents the ideal value. If only the parabola expands down words, the optimal value, also known as the vertex of the parabola, would be maximal. The minimal value is one opening upwards. The vertex's "Y" coordinate is it.
An option for making a judgment or a resolution that does not adhere to one or more constraints. The corners of the entire model's graph would contain the ideal answer.
Explanation:
(Assume that [tex]x > 0[/tex] and [tex]y > 0[/tex].)
[tex]x + 2 < 5x-y < 2[/tex]
[tex]F(x,y) = 2x+y[/tex]
So , the equation becomes a optimal solution.
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Using the digits 1-9 , at most one time each, to fill the blanks. how many ways can you find to do this? lim
Answers
[tex]Solution(1)Digit 1 to 9Lef $x \rightarrow 1, x^{\prime}$$$\lim _{x \rightarrow 1}=1^{\prime}=1$$$\lim _{\lim ^9}=(1)^9=1$$[9$ ways $]$Similarlyt$$\lim _{x \rightarrow 2} x^{\prime}=2^{\prime}=2$$$\lim _{x \rightarrow 2} x^9=\lim _{x \rightarrow 2} 2^9=512 \quad[9$ ways $]$Total no. of ways $=9 \times 9=81$ ways.Required No, of ways $=81$ Ans[/tex]
What is limit?This article discusses the idea of limit in general. See Limit of a sequence and Limit of a function for additional detailed situations. See Mathematics (limit) for further usage.
Limits are crucial to calculus and mathematical analysis because they are needed to determine continuity, derivatives, and integrals. Limits are the value that a function (or sequence) approaches when the input (or index) approaches some value.
In addition to being closely connected to limit and direct limit in category theory, the idea of a limit of a sequence is further expanded to include the idea of a limit of a topological net.
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Please answer fast.
Thank you to who ever answers it!
Answers
Answer:
see explanation
Step-by-step explanation:
using the formula V = lwh , then
(a)
volume of first box = 3x × x × 2x = 6x³ units³
(b)
volume of second box = 4x × 2x × x = 8x³ units³
(c)
volume of 2 boxes = 6x³ + 8x³ = 14x³
(d)
if x = 6 , then
volume of 2 boxes = 14x³ = 14(6)³ = 14 × 216 = 3024 units³
Which of the following is an equivalent expression of 15x2 +12x + 8?
27x3 + 8
15x2(12x + 8)
12x + 15x2 + 8
8(15x2 + 12x)
Answers
The expression which is equivalent to the expression given in the task content is; 12x +15x² +8.
Which expression is an equivalent expression of 15x2 +12x + 8?It follows from the task content that the expression which is an equivalent of the given expression is to be identified.
Given;
15x² +12x + 8
Hence, by re-arranging the terms of the expression; we have;
12x + 15x² +8.
Ultimately, the required equivalent expression is; 12x + 15x² +8.
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A mountain climber camped at an elevation of 18,492 feet. The following day the climber descended 2,516 feet to another campsite. Write a numerical expression you can evaluate to find the elevation of the second campsite. Then find the elevation.
1. The elevation is -15,976 feet
2. The elevation is 15,976 feet
3. A good expression would be -18,492 + 2,516
4. The elevation is 21,008 feet
5. The elevation is -21,008 feet
6. A good expression would be 18,492 + 2,516
7. A good expression would be 18,492 + -2,516
8. A good expression would be -18,492 + -2,516
Answers
The correct options are:
The elevation is 15,976 feet
A good expression would be 18,492 + -2,516
What is the elevation?When a person goes up a mountain, the sign used to represent their height above sea level is a positive sign (+). When a person goes down a mountain, the sign used to represent their height above sea level is a negative sign (-). So, the sign in front of 18,492 would be positive and the sign in front of 2516 would be negative.
The expression that can be used to evaluate the elevation of the second campsite :
height of the first campsite - feet descended
18,492 - 2,516 = 15,976 feet
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If a = 3, then 5a = 15. If a = 11⁄2, then a
3.
Answers
The value of the expression a^3 is 3 3/8
How to evaluate the expression?The given parameters can be represented as
If a = 3, then 5a = 15.
Also, we have the value of the variable a to be
a = 1 1/2
Express the value of the variable a as an improper fraction
So, we have
a = 3/2
When a = 1 1/2 or a = 3/2, the value of a³ is calculated using the following formula
a³ = (1 1/2)³ = (3/2)³
Rewrite the formula as
a³ = (3/2)³
Evaluate the exponent in the above equation
So, we have
a³ = (27/8)³
Evaluate the quotient in the above equation
So, we have
a³ = 3 3/8
Hence, the value of the expression a³ is 3 3/8
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The table shows the proportional relationship between a hedgehog's
weight loss and the number of days of hibernation. How much weight does
the hedgehog lose during 120 days of hibernation?
Explain how you know that the relationship between the hedgehog's weight
loss and the number of days of hibernation is proportional.
The hedgehog’s total change in weight over 120 days is ____ ounces.
weight loss of hedgehog
days: change in weight:
12 -0.36
21 -0.63
71 -2.13
96 -2.88
Answers
For how many integers will 4x + 5 be greater than 4 and less than 175?
Answers
The linear equation 4 · x + 5 will be greater than 4 and less than 175 for 42 integers.
How many integers are within a linear inequality?
Herein we must find what integers are within the interval of a simultaneous linear inequality, whose definition is shown below:
4 < 4 · x + 5 < 175
Which is equivalent to the following two inequalities:
4 · x + 5 > 4 (2)
4 · x + 5 < 175 (3)
By (2):
4 · x + 5 > 4
4 · x > - 1
x > - 1 / 4
x > - 1
By (3):
4 · x + 5 < 175
4 · x < 170
x < 170 / 4
x < 85 / 2
x < 42.5
x < 43
Then, the number of integers within the simultaneous inequality is:
n = 1 + (42 - 1)
n = 42
The linear equation 4 · x + 5 will be greater than 4 and less than 175 for 42 integers.
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Write the linear equation in slope-intercept form passing through the given points. (-12, 14) and (6, -1) (Hint: Start by finding slope between the two points, then put in point-slope form and then convert to slope-intercept form.) y= type your answer... X+ type your answer...
Answers
The slope-intercept form of the equation of the line described is y = -6x/5 + 32/5.
Given the following data:
Points on x-axis = (-12, 6).
Points on y-axis = (14, -1).
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given points into the formula, we have;
Slope = (6 + 12)/-1 - 14)
Slope = -18/15
Slope = -6/5
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m represents the slope.c represents the intercept.At point (-12, 14), we have:
14 = -6/5(-12) + c
8 = 72/5 + c
40 = 72 + 5c
5c = 72 - 40
c = 32/5
In conclusion, we can reasonably and logically deduce that the slope-intercept form of the equation of the line described is y = -6x/5 + 32/5.
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prove that every positive integer can be written as a finite sum of distinct integral powers of the golden ratio.
Answers
z1 =........=zm = 0 and n=m because n0 cannot be expressed in the +ve Phi / golden ratio form.
What is golden ratio?important is that the ratio between each succeeding pair of Fibonacci numbers approaches 1.618, or its inverse, 0.618, as the numbers get bigger. The holy proportion, the golden ratio, and the golden mean are some additional names for this proportion. Then why is this number so important? The fact that so many items in nature have dimensions characteristics that conform to the 1.618 ratio suggests that it plays a fundamental role for the components of nature. Due to its visual appeal compared to other proportions, the golden ratio is frequently used in the arts. The Great Pyramid in Giza, the Mona Lisa by Da Vinci, and the Parthenon in Athens are all.
z1 =........=zm = 0 and n=m
z1 =........=zm = 0 and n=m because n0 cannot be expressed in the +ve Phi / golden ratio form.
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Heyy, If anyone can find the answer to this question, I’ll literally be in your DEBT
Answers
[tex]Answer: the\ number\ is\ \boxed{-26}[/tex]
Step-by-step explanation:
[tex]2(n-4)=3(n+6)\\2(n)-2(4)=3(n)+3(6)\\2n-8=3n+18\\2n-8-18=3n+18-18\\2n-26=3n\\2n-26-2n=3n-2n\\-26=n\\Thus,\\n=-26[/tex]
pls helppppp fast needs to be submitted in a hour!!!Q
Answers
Answer: 2/9 of the book left
Step-by-step explanation: 5/9 + 2/9= 7/9
9/9- 7/9= 2/9
Please help
Evaluate.
(-3)³-4²=
Answers
Answer:
-43
Step-by-step explanation:
(-3)³ - 4² = -27 - 16 = -43
Solve the system.
4x-y+z=2
5x-2y + 4z=-9
2x+y-52=24
Answers
Answer:
4x-y+z=2
Step-by-step explanation:
the answer is simple
What is the value of x in the system of equations below?
3x +y+2z=-10
x+5y+2z=-12
-2x+3y=-1
Answers
Answer:
Step-by-step explanation:
A. 1
B. -3
C. 3
D. -1
The value of x = -1
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
3x +y+2z=-10 equation 1
x+5y+2z=-12 equation 2
-2x+3y=-1 equation 3
Subtracting equation 1 to equation 2, we get
3x +y+2z - (x+5y+2z)=-10 - (-12)
3x +y+2z - x -5y -2z = -10 + 12
2x - 4y = 2 equation 4
Adding equation 4 to equation 3, we get
2x - 4y -2x+3y = 2 - 1
- y = 1
y = -1
Putting the value of y in equation 4, we get
2x - 4y = 2
2x - 4(-1) = 2
2x +4 = 2
2x = -2
x = -1
Therefore, the value of x = -1
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Jerry is planting white daisies and red tulips in his garden and he wants to choose a pattern in which the tulips surround the daisies. He uses tiles to generate patterns starting with two rows of three daisies. He surrounds these daisies with a border of tulips. The design continues as shown.
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Jerry writes the expression 8(b − 1) + 10 for the number of tulips in each border, wherein b is the border number and b ≥ 1. Complete the explanation to explain why Jerry's expression is correct.
For Border 1, tulips are added above and below the daisies, which gives a total of 6 tulips. A tulip is then added to the end of each row of daisies, which gives 4 tulips. So, there is a total of
tulips in Border 1.
For Border 2, there are
additional tulips added to the garden plus the 10 original tulips from Border 1.
8 + 10
For Border 3, there are
additional tulips added to the garden plus the 10 original tulips from Border 1 and 8 additional tulips from Border 2.
8(2) + 10
So, the expression for the number of tulips in the garden with Border b is .
Answers
In linear equation ,Jerry's expression is correct.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."As you can see, starting with border 1, we have 6 daises (white squares) surrounded by 10 tulips (colored squares). Through Jerry's expression we expected:
= 8(b − 1) + 10
= 8(1 − 1) + 10
= 0 + 10
= 10 tulips.
When considering border 2, we expect:
= 8(b − 1) + 10
= 8(2 − 1) + 10
= 8 + 10
= 18 tulips.
Indeed, we have the 10 tulips from border 1 and 8 additional tulips, for a total of 18 tulips.
Then, consider border 3, we expect:
= 8(b − 1) + 10
= 8(3 − 1) + 10
= 16 + 10
= 26 tulips.
Again, this is correct: we have the 10 tulips used in border 1 plus other 16 tulips, for a total of 26.
Therefore, Jerry's expression is correct.
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"a comparison of nine confidence intervals for a poisson parameter when the expected number of events is ≤ 5,
Answers
The exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.
Let [tex]{ X_{i} }^{n} _{i = 1}[/tex] be a group of independent variables with Poisson distribution and the same distribution. Confidence intervals for can be created using a variety of methods, including the Wald method, precise inference, a variance stabilizing transformation, and many others. Actual and nominal coverage can differ significantly when n is small. For a Poisson mean, we compare nine confidence intervals in terms of coverage and expected width of the confidence bounds. We demonstrate that, for small n, only the exact interval maintains coverage probabilities; the scores interval maintains coverage probabilities roughly, but its expected width is greater than that of the exact interval.A modified confidence interval based on the variance stabilized confidence interval has coverage properties close to the nominal and an expected width that is not particularly large. Therefore, we advise using the exact interval for researchers who want real coverage that is at least nominal and a modified version of the variance stabilized interval for those who are OK with approximative coverage.
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9uv + 3s³t² + 5uv
Combine any like terms in the expression. if there are no like terms, rewrite the expression.
Answers
The expression after combining the like terms is 14uv+ 3s³t²
Expression:
Mathematical expression consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Variable:
A variable in algebra is an alphabet that is used to symbolise the unknowable integer. It stands in for the value. An amount that can fluctuate depending on the mathematical issue is referred to as a variable.
⇒9uv + 3s³t² + 5uv
⇒ 14uv+ 3s³t² { addition of like terms}
Therefore,The expression after combining the like terms is 14uv+ 3s³t²
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for a field trip 19 students rode in cars and the rest filled the 10 buses how many students were in each bus if 519 students were on the trip
answer as an equation please help
Answers
Answer: 10x + 19 = 519 x = 50
Step-by-step explanation:
We are looking for the number of students that rode in each bus, so first lets subtract out those that drove in cars.
519-19=500
So 500 students rode on 10 buses. So now we divide the students onto the buses.
500/10 = 50
Each bus drove 50 students.
An equation to represent the total number of students as a function of those on the buses would be
10x + 19 = 519
x = 50 (the number of students on each bus)
Find missing length.
A trapezoid has a height of 8 meters, a base length of 12 meters, and an area of 64 square meters. What is the length of the other base?
Answers
Answer:
good luckkkkkkkkkkkkkkk
It costs $5820 to get new windows for a certain house. Each of the 28 windows costs the same amount. Determine an estimate for the cost of each window. Justify your reasoning. What is the cost of each window, rounded to the nearest dollar? Show your work. Leave the remainder undivided.
Answers
Answer:
1. Determine the estimate.: Without solving I'd say 200, but you could try to think of your own estimate.
2. Justify.: 5820 rounds up to 6000, and 28 rounds up to 30. 6000/30 = 200
3. 207.85 (I don't know if your teacher makes you do the new way of rounding up, but if it says round to the nearest dollar I'd do $207.)
Step-by-step explanation:
Then you divide. Sorry I can't show you that!!! But I really hope this helped.
Express2a powered −5 with a positive exponent.
Answers
Answer:
To make a negative exponent positive you put it over 1
[tex]\frac{2}{a^{5} }[/tex]
Step-by-step explanation:
2[tex]a^{-5}[/tex] = [tex]\frac{2}{a^{5} }[/tex]
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $150 each. How much would it cost to buy 14 notebooks and 16 desktop computers? How much would it cost to buy n n notebooks and d d desktop computers?
Answers
Answer
14 notebook computers: 3850$
16 desktop computers: 2400$
Step-by-step explanation:
275x14=3850
150x16=2400
A nursery is recording the heights of its available fruit trees. Which of the following displays could be used to represent the data, and why?
O Bar chart, because tree height is numerical
O Box plot, because tree height is numerical
O Histogram, because tree height is categorical
Stem-and-leaf-plot, because tree height is categorical
Answers
When the nursery is recording the heights of its available fruit trees. the display that can be used to represent the data, is A. Bar chart, because tree height is numerical.
What is a bar chart?Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.
When displaying the distribution of data points or comparing metric values across several subgroups of your data, a bar chart is employed. A bar graph allows us to determine which groupings are most numerous or prevalent as well as how different groups stack up against one another.
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Answer:
The answer would be B.
Step-by-step explanation:
Since we are doing heights, it would make since to have a box plot, since that includes minimum, maximum, median, Q1, & Q2. :)
that makes it easier to record height
find the HCF of: 6(p² +p-2), 15(p³ + 8) and 18(4p²-p-18)
Answers
Answer:
Hello,
[tex]answer=\boxed{HCF=3*(p+2)}[/tex]
Step-by-step explanation:
[tex]6(p^2+p-2)=6(p+2)(p-1)\\\\15(p^3+8)=15(p+2)(p^2-2p+4)\\\\18(4p^2-p-18)=18(p+2)(4p-9)\\\\\boxed{HCF=3*(p+2)}[/tex]
In golf, scores are often stated as the number of stroked above or below par for the course. Four golfers played two rounds of golf during the weekend. The table list their scores for each round in relation to par (0).
Golfers Patrick Diane James Judy
Round 1 -6 +1 +2 -3
Round 2 -2 -4 +7 +6
A. What was Judy's total after both rounds of golf?
B. What is the difference between the lowest and highest scores earned? Write and solve an expression.
C. What was the combined total of everyones score for round 1 Write and solve an expression
Answers
Judy's total score is 3.
The difference between the lowest and highest score is -12.
The combined total of the scores from round 1 is -5.
What are the scores?The mathematical operations that would be used to solve this question are addition and subtraction. Addition is the process used to determine the sum of two or more number. The sign used to represent addition is +. Subtraction is the process used to determine the difference between two or more numbers. The sign used to represent subtraction is -.
Judy's total score is the sum of the score in round one and round one.
Judy's total score = -3 + 6 = 3
For negative numbers, the further the number is from 0, the smaller the number. For example, -10 is smaller than -5. For positive numbers, the closer the number is to zero, the smaller the number. For example,1 is smaller than 5.
Looking at the table, the smallest number is -6 and the largest number is 6
The difference : -6 - 6 = -12
The total scores from round 1 = 1 -6 +1 +2 -3 = -5
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What is the mean of the following numbers?
11, 3, 5, 13
Answers
Answer:8
Step-by-step explanation:add them all together and divide by however many numbers you have
Answer:
the mean(average) is 5
Step-by-step explanation:
Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.
Thirty-six friends are renting a party bus to the school prom. Rental of the
party bus will cost $300 up front plus $18 per hour. The friends have the
bus from 5:00 PM to 3:00 AM.
Each friend has agreed to chip in $12. One of the teachers at the high
school, Mr. Jones, has offered to chip in the rest. If he does, how much will
he pay
Answers
Answer:
$48
Step-by-step explanation:
The friends have the bus from 5:00 PM to 3:00 AM, so:
3 + 18 − 5 = 15 − 5 = 10 hours.
The cost of renting the bus will be:
$300 + $18 × 10 = $300 + $180 = $480.
The thirty-six students will contribute $12 each for a total of:
$12 × 36 = $432.
So Mr. Jones will pay:
$480 − $432 = $48.
Hope this helped :)
find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) −7????
Answers
1/[tex]\sqrt{3}[/tex] is the exact trigonometric ratios for the angle x whose radian measure is given.
What are trigonometric ratios?Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Trig ratios are therefore assessed in relation to sides and angles.
Trigonometric ratios, which contain the values of all trigonometric functions, are based on the ratio of sides of a right-angled triangle. The ratios of a right-angled triangle's sides with regard to a certain acute angle are known as its trigonometric ratios.
The right triangle's three sides are as follows:
Hypotenuse (the longest side)Perpendicular (opposite side to the angle)Base (Adjacent side to the angle)sin(4π/3) = sin(π + π/3)
= - sin(π/3)
= - [tex]\sqrt{3}[/tex]/2
CSC(4π )/3) = csc(π + π /3)
= - csc(π /3)
= - 2/[tex]\sqrt{3\\[/tex]
cos(4π /3) = cos(π + π /3)
= - cos(π /3) = - 1/2
sec(4 π /3) = sec(π + π/3)
= - sec(π /3) = - 2
tan(4π )/3) = tan(π + π /3)
= tan(π/3) = [tex]\sqrt{3}[/tex]
Cot (4π/3 )= cot(π + π/3)
= Cot π/3 = 1/[tex]\sqrt{3}[/tex]
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After performing an experiment to determine what time of day adults are
most productive, you display your data as a graph to be analyzed. Which
phase of inferential statistics is this?
O A. Survey
B. Data organization
OC. Probability-based inference
OD. Data gathering
Answers
The phase of inferential statistics is B. Data organization.
What is data organization?The process of arranging raw data in a form that makes sense is known as data organization. Classification, frequency distribution charts, image and graphical representations, among other methods, are used to organize data. Data organization enables us to arrange the information so that it is simple to read and use.
This was illustrated after performing an experiment to determine what time of day adults are most productive, you display your data as a graph to be analyzed. This is data organization.
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