Answers
Answer:
f(2)=3
f(1)=2
f(-1)=0
f(0)=1
Step-by-step explanation:
f(x)=y
when finding what f(x)=? you would see whats in the () and find that number on the x-axis. Find where the line hits on the x-axis and find the number on the y-axis that correlates with it. The y-axis number is what goes the the ().
when finding whats in the () you find what number it equal to on the y-axis and what is in the () would be the number that the line is on on the x-axis
Related Questions
Please help thank you
Answers
The value of the unknown angle in the triangle is as follows;
m∠S = 40 degreesHow to find the angle of a triangle?The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
The external angle is ∠JRS.
Therefore, m∠S can be found as follows:
∠JRS = m∠S + m∠T
Hence,
m∠S = 3x + 4
m∠T = 8x + 4
∠JRS = 140°
Hence,
140 = 3x + 4 + 8x + 4
140 = 3x + 8x + 4 + 4
140 = 11x + 8
140 - 8 = 11x
132 = 11x
x = 132 / 11
x = 12
Therefore,
m∠S = 3(12) + 4 = 40 degrees.
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In terms of ln(4) and ln(5), rewrite the expression: ln 500
Answers
Answer:
2ln5 + ln4 + ln5
Step-by-step explanation:
Think about how we can write 500 in terms of 4 and 5.
[tex]500 = 5^2*(4*5)[/tex]
So ln(500) can be written as ln(5^2*4*5)
Using log rules [tex]log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)[/tex]
we can rewrite ln(500) to 2ln5 + ln4 + ln5
it is known that a certain kind of algae in the dead sea can double in population every 4 days. suppose that the population of algae grows exponentially, beginning now with a population of 3,000,000. (a) how long it will take for the population to quadruple in size? days (b) how long it will take for the population to triple in size? days
Answers
Since the algae grow exponentially with doubling time of 4 days, then the population will be quadruple in size in 8 days and will be triple in size in 6.34 days.
The easiest way is to consider the situation as a geometric sequence. If the population doubles its size in 4 days, then it will be quadruple in:
2 x 4 days = 8 days.
In general, we can use the growth formula:
P(t) = Po . 2^(t/Td)
Where:
P(t) = population at time t
Po = initial population
Td = doubling time
Parameters given:
Td = 4 days
P(t) = 3Po
Plug those parameters into the formula:
3 Po = Po . 2^(t/4)
3 = 2^(t/4)
log 3 = (t/4) log 2
t = 4 . log 3 / log 2 = 6.34 days.
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At 6:00 A.M. the temperature was 5°F below zero. At noon the temperature was 2°F above zero. At 6:00 P.M. the temperature was 7°F above zero. Which equation shows the change in temperature from 6:00 A.M. to 6:00 P.M.?
A. |5 – 7| = |–2| = 2°F
B. |2 – 7| = |–5| = 5°F
C. |–5 – 2| = |–7| = 7°F
D. |–5 – 7| = |–12| = 12°F
Answers
Based on the temperature at 6:00 am and the temperature at 6:00pm, the change in temperature can be shown by the formula D. |–5 – 7| = |–12| = 12°F.
How to find the change in temperature?To find the change in temperature, you need to subtract the temperature at 6: 00 pm from the temperature at 6: 00 am.
The change in temperature is therefore:
= | temperature at 6 am - temperature at 6pm |
= | -5 - 7 |
= | - 12 °F|
The absolute value of - 12 °F is 12 °F which was therefore the change in temperature.
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To resolve 2(1-i) z² + (1+i) z + 3 (1 - i) = 0
Answers
Given:
There are given the complex equation:
[tex]2(1-i)z^2+(1+i)z+3(1-i)=0[/tex]Explanation:
To find the value, we need to put the standard value of z into the above-given complex function:
[tex]\begin{gathered} 2(1-\imaginaryI)z^2+(1+\imaginaryI)z+3(1-\imaginaryI)=0 \\ 2(1-\imaginaryI)(x+yi)^2+(1+\imaginaryI)(x+yi)+3(1-\imaginaryI)=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2(1-\imaginaryI)(x+y\imaginaryI)^2+(1+\imaginaryI)(x+y\imaginaryI)+3(1-\imaginaryI)=0 \\ (2x^2-2y^2+4xy+x-y+3)+i(-3+x+y-2x^2+2y^2+4xy)=0 \end{gathered}[/tex]Then,
[tex](2x^2-2y^2+4xy+x-y+3)+\imaginaryI(-3+x+y-2x^2+2y^2+4xy)=0+0i[/tex]So,
[tex]\begin{gathered} (2x^2-2y^2+4xy+x-y+3)+\imaginaryI(-3+x+y-2x^2+2y^2+4xy)=0+0i \\ 2x^2-2y^2+4xy+x-y+3=0 \\ -3+x+y-2x^2+2y^2+4xy=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} x=0,y=-\frac{3}{2} \\ x=0,y=1 \end{gathered}[/tex]Final answer:
Hence, the value of the given complex function is shown below:;
[tex]\begin{gathered} z=-\frac{3}{2}i \\ z=i \end{gathered}[/tex]Question 1
A triangle has sides of length 2 cm, 8 cm and 9 cm.
Calculate the value of the largest angle in this triangle.
Answers
Answer: You have to use a calculator
Step-by-step explanation:
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WILL GIVE BRAINLOST TO BEST QUSTION
The cost of a ride in a taxi is $4 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3, 3.25, 3.50,...
Which of the following is the Recursive Function that can be used to determine f(x), the cost in dollars, for a ride in the tax of, x. half miles?
Answers
Answer:
I don't know men iam grade 7 student
The area of a square is 144 square meters. What is the length (in meters) of one side of the square?
Answers
Answer:
12 m
Step-by-step explanation:
area = (side)²
(side)² = area
√(side)² = √(area)
side = √(area)
side = √(144 m²)
side = 12 m
Write the following phrase as an algebraic expression. Use n for “a number."three increased by the quotient of a number and twoa 3+n / 2b.3+ n/2c. 3(n+ 2)d. 3+2n
Answers
The problem states that "three increased by a quotient", this implies that the three is separated from the quotient, therefore, we need to create the equation in the following manner:
[tex]3\text{ + }\frac{n}{2}[/tex]The correct answer is "b".
Solven - 8 + n = 1 -4n
Answers
We will solve as follows:
[tex]n-8+n=1-4n\Rightarrow2n+4n=1+8[/tex][tex]\Rightarrow6n=9\Rightarrow n=\frac{3}{2}[/tex]Add −1 3/10+2/5 using the number line.
Select the location on the number line to plot the sum.
Answers
The location on the number line to plot the sum of the given number is shown in the image attached below.
What is a number line?In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
Note: Each interval on this number line represents 1/10.
Next, we would add the given numbers together as follows:
Number = −1 3/10 + 2/5
Number = −13/10 + 2/5
Number = (-13 + 4)/10
Number = -9/10 or -0.9.
Therefore, the sum would be located between -4/5 and -1.
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Hello I am not sure for what to do for the end of the equation.
Answers
ANSWER
25
EXPLANATION
We are given that p and q intersect to form <1 and <2 that are adjacent.
Let us represent that with a diagram:
We have that <1 and <2 are supplementary.
This means that they add up to 180 degrees.
So:
<1 + <2 = 180
4x - 3 + 3x + 8 = 180
Collect like terms:
4x + 3x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
That s the value of x for which <1 and <2 are supplementary.
Select the correct answer.
What is the range of the function shown on the graph above?
A. -9 [tex]\leq[/tex] y [tex]\leq[/tex] 8
B. -7[tex]\leq[/tex] y [tex]\leq[/tex] -2
C.-8[tex]\leq[/tex] y [tex]\leq[/tex] 8
D.-2 [tex]\leq[/tex] y [tex]\leq[/tex] -7
Answers
Answer:
A
Step-by-step explanation:
The range is the y values. The y value is as low as -10 and as high as 8.
I need help with number 16 can I please get help?
Answers
We will break apart the figure into triangles, rectangles, squares etc. We will then find area of each individual figure and sum it.
We can break apart the figure as shown below:
oan, omb, apb and mpn are straight lines and an = 3oa. m is the midpoint of ob. oa = a ов = b ap = kab where k is a scalar quantity. express ab and mn in terms of a and b. express mp in terms of a, b and k. finally, find the value of k.
Answers
The values of the vectors obtained from the vector diagram are;
[tex]\overrightarrow{AB} = - a + b[/tex]
[tex]\overrightarrow{MN} = ( -2\cdot a + 0.5 \cdot b)[/tex]
[tex]\overrightarrow{MP} = ( -0.5\cdot b + a+ K \cdot ( - a + b)[/tex]
K = 2.5
What is a vector in geometry?A vector can be expressed as a line segment that has a direction.
The given parameters are;
The straight lines are; OAN, OMB, APB, and MPN
AN = 3•OA
The midpoint of OB = M
The vectors
[tex] \overrightarrow{OA} = a[/tex]
[tex] \overrightarrow{OB} = b[/tex]
[tex]\overrightarrow{AP} = K \cdot \overrightarrow{AB} [/tex]
From the question diagram, we have;
[tex]\overrightarrow{AB} = - a + b[/tex]
[tex]\overrightarrow{AP} = K \cdot ( - a + b)[/tex]
[tex]\overrightarrow{MN} = ( -2\cdot a + 0.5 \cdot b)[/tex]
[tex]\overrightarrow{AN} [/tex] = 2•a
[tex]\overrightarrow{NP} = \overrightarrow{AP} - \overrightarrow{AN} [/tex]
[tex]\overrightarrow{NP} = -2\cdot a + K \cdot ( - a + b)[/tex]
[tex] \overrightarrow{MB} = 0.5 \cdot b[/tex]
[tex]\overrightarrow{PB} = -a + b - K \cdot ( - a + b)[/tex]
[tex]\overrightarrow{MP} =0.5 \cdot b - -a + b - K \cdot ( - a + b) = ( -0.5\cdot b + a+ K \cdot ( - a + b)[/tex]
[tex]\overrightarrow{MP} = ( -0.5\cdot b + a+ K \cdot ( - a + b)[/tex]
Given that we can write;
[tex]x \cdot \overrightarrow{NP} = \overrightarrow{NM}[/tex]
x × (-2•a + k•(-a + b)) = -3•a + 0.5•b
-2•x•a - k•x•a + x•k•b = -3•a + 0.5•b
Which gives;
-2•x - k•x = -3...(1), and x•k = 0.5...(2)
From (2), x = 0.5÷k
From (1), -2×(0.5÷k) - k×(0.5÷k) = 3
-k - 0.5 = -3
-k = -3 + 0.5 = -2.5
k = 2.5
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Find the measures of the complementary angles that satisfy each case. The measure of the first angle is 40% less than the measure of the second.
Answers
The measure of the angles are 56.25° and 33.75°.
How to calculate the angles?The value in a complementary angle is equal to 90°.
Let the first angle = x
The second angle will be: 1 - (40% × x) = 1 - 0.4x = 0.6x
Therefore, they'll be added together as follows:
x + 0.6x = 90°
1.6x = 90°
Divide
x = 90/1.6
x = 56.25
The second angle will be:
= 0.6x
Since x = 56.25, this will be used in the illustration below.
= 0.6x
= 0.6 × 56.25
x = 33.75
Therefore, the second angle is 33.75.
This illustrates the concept of complimentary angles.
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about 4% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
Answers
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
How to calculate the probability distribution's mean: Steps
change every percentage to a decimal probability.Create a probability distribution table in step two. Multiply each column's values. Combine the outcomes from step 3.A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.
Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).
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given l || m || n, find the value of x
Answers
Answer:
x = 10
Step-by-step explanation:
(5x + 3) and 53 are corresponding angles and are congruent , then
5x + 3 = 53 ( subtract 3 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10
The value of 'x' is highlighted in the box
4. En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada 2
semanas. Se sabe que 15 días atrás ambos vehículos pasaron en el mismo día. Raúl M
cree que dentro de un mes los vehículos volverán a encontrarse y Oscar cree esto
ocurrirá dentro de dos semanas. ¿Quién está en lo cierto?
Answers
Answer:
???
Step-by-step explanation:
Is there a English version for this question?
DS
6) You and five friends went out to a movie. You all
shared a large tub of popcorn that cost $16.50,
and you ordered individual boxes of candy that
cost $3,72 per person. You and your friends decide
to split the bill evenly. How much did each of you
pay?
Answers
Answer:
You would each pay $6.42
Have a good one!
Hey , I have a quick question about a Homework in math I got confused on how to solve the listed to formula [tex] \frac{x - 3}{2} - 4 \ \textless \ \frac{x}{3} [/tex]
Answers
Solution
- The question would like us to solve the following
[tex]\frac{x-3}{2}-4<\frac{x}{3}[/tex]- The solution is outlined below:
[tex]\begin{gathered} \frac{x-3}{2}-4<\frac{x}{3} \\ \\ Collect\text{ like terms:} \\ Add\text{ 4 to both sides and Subtract }\frac{x}{3}\text{ from both sides} \\ \\ \frac{x-3}{2}-\frac{x}{3}<4 \\ \\ We\text{ need the LCM of 2 and 3. } \\ The\text{ LCM is }2\times3=6 \\ \\ Thus,\text{ multiply both sides by 6 in order to remove the denominator} \\ 2\frac{}{} \end{gathered}[/tex][tex]\begin{gathered} 6\left(\frac{x-3}{2}\right?-6\left(\frac{x}{3}\right?<4\times6 \\ \\ 3\left(x-3\right)-2x<24 \\ Expand\text{ the bracket} \\ 3x-9-2x<24 \\ x-9<24 \\ Add\text{ 9 to both sides} \\ x<33 \end{gathered}[/tex]Final Answer
The answer is x < 33
FInd the probability that a student walks to school
Answers
The probability that a student walks to school is 7/15
How to determine the probability of walking to school?The tree diagram represents the given parameter
From the tree diagram, we have the following parameters
P(Rain) = 2/5
P(Rain and walk) = 1/6
P(No rain) = 3/5
P(No rain and walk) = 2/3
The probability of walking to school is then calculated as
P = P(Rain) x P(Rain and walk) + P(No rain) x P(No rain and walk)
Substitute the known values in the above equation
So, we have
P = 2/5 x1/6 + 3/5 x 2/3
Evaluate the products
P = 1/15 + 6/15
Evaluate the sum
P = 7/15
Hence, the probability is 7/15
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Every rational number is positive.
A. True
B. False
Answers
Answer:
Step-by-step explanation: it is true because when the numerator and denominator both are positive integers both are negative integers it is a positive rational number.
determine the equation of line from the graph
Answers
Answer:
y = 2x
Step-by-step explanation:
The slope is 2. Find a point on the line, to go back to the line, go up two and one to the right. You will be back on the line. This pattern repeats over and over and again.
The perimeter of a rectangle is 82 cm the length is 1 cm more than three times the width find the length and the width of the rectangle
Answers
The length will then be L = 18(41/19) = 738/19 cm.
As a check, the area should be A = LW = (738/19)(41/19) = 30258 cm2
sorry if this isn't much help but i had a similar problem once and i used the same steps for your question
help me please help :)
Answers
Step-by-step explanation:
12/4 = x/8
1st: cross multiply
96 = 4x
2nd: divide both sides by 4
96/4 = 4x/4
therefore x = 24
2g + (g + 5) >= 6g - 10 whats the solution set?
Answers
Answer: g ≤ 5
Step-by-step explanation: 2g + (g + 5) >= 6g - 10 ⇒ g ≤ 5
the population of a city will quadruple in 15 years. if its current population is 6,000, using the given rate of change, what will its approximate population be 7 years from now
Answers
Answer:
11200
Step-by-step explanation:
juan went out to eat dnner,and the meal cost $60.00.If juan recived a 18% discount,what was the total value of the discount
Answers
Multiply by the decimal form of the percentage,
60 * 0.18 = 1.08
So the discount is for $1.08 off,
60 - 1.08 = 58.92
Giving a total of $58.92 after the discount is applied
24. The temperature in ° F on 20 days during the month of June
was as follows:
70° F, 76° F,
74° F, 74° F,
76° F,
78° F,
74° F,
76° F,
70° F, 70° F, 72° F,
78° F, 76° F,
74° F,
74° F, 78° F, 80° F,
80° F, 76° F
78° F
What is the mode of temperature for the month of June?