Answers
Answer:
C
Step-by-step explanation:
3x^2-30x=72
3(x^2-10x)=72
x^2-10x=24
Then do the subtitules
Answer:C
Give me brainlliest
Answer: C x = -2
Step-by-step explanation:
[tex]3x^{2} - 30x - 72 = 0[/tex]
[Add 72 on both sides]
[tex]3x^{2} - 30x = 72[/tex]
[Factorise Left Hand Side of equation to get 3 on one side of a bracket]
[tex]3(x^{2} -10x) = 72[/tex]
[Divide each side by 3 to just get the brackets and the x's on one side]
[tex]x^{2} -10x = 24[/tex]
[Minus 24 on both side as the equation must = 0]
[tex]x^{2} -10x-24=0[/tex]
[Solve the square on the left hand side]
[tex](x-12)(x+2)=0[/tex]
[Solve for x on left hand side - two possible answers]
[tex]x-12=0 \\ x=12[/tex]
[tex]x+2=0\\x=-2[/tex]
[The answer '12' is not in the option for the question so '-2' is the answer]
Related Questions
Find the solution set for the given inequality if the replacement set is {1, 2, 3, 4, 5}.
5x – 2 ≥ 8
Question 3 options:
{2, 3, 4, 5}
{1}
{3, 4, 5}
{1, 2}
Answers
Answer:
The Ans. {2, 3, 4, 5}
Step-by-step explanation:
5x – 2 ≥ 8 when we will replace the given values{1, 2, 3, 4, 5} insted of X we get true solution set by {2, 3, 4, 5}
_____are collected from several entities at the same point in time.
a. cross-sectional data
b. time series data
c. random data
d. categorical and quantit
Answers
Cross sectional data are collected from several entities at the same point in time.
What is cross-sectional data?In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.
You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.
In conclusion, the correct option is A.
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Write as a numerical expression: the product of 2 and the difference of −2 and 8
Answers
Answer:
2(-2-8)
Step-by-step explanation:
The difference between -2 and 8 is -2-8. The product of 2 and the difference is (-2-8)*2 which is 2(-2-8).
If you can please provide the step-by-step explanation.
Answers
Answer:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
what is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)? (5 points) y 5
Answers
The equation of the line in point-slope form is: y - 5 = -x + 2.
What is the Equation of a Line in Point-slope Form?The equation of the line can be modelled as y - b = m(x - a), in point-slope form..
Given the following:
(2, 5) and (-1, 8), find the slope
Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)
Slope of the line (m) = 3/-3
Slope of the line (m) = -1
Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):
y - 5 = -1(x - 2)
y - 5 = -x + 2
Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.
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During their break, Marcus and Kaelan visit the café for lunch. Marcus orders a bacon
cheeseburger, a large order of french fries and a small soft drink. Kaelan orders a chicken fajita
taco, cole slaw and a milkshake. Who spends more money? How much more does he spend?
Show your work
Answers
Answer: Kaelan spends more money. Kaelan spends 0.25 cents more.
Step-by-step explanation:please give brainliest if right.
Find the equation of a line which has a slope of 8 and crosses the y- axis at -3
Answers
Answer:
y = 8x - 3
Step-by-step explanation:
The point where the line crosses the y-axis is the y-intercept and the intercept we're looking for. We know the slope 8 and the intercept -3, so we can just provide the answer
[tex]\large\textsf{{Hi! In this problem we need to find the equation of a line}}\\\textsf{in slope-intercept form: \textbf{y=mx+b}, where \textbf{m} is the slope}\\\textsf{and \textbf{b} is the y-intercept}}.\\\\\\\\\textsf{The question provides us both the slope \& the y-intercept}\\\textsf{This means we can find the equation by}\\\textsf{plugging the numbers into the formula:}\\\\\textbf{y=mx+b}\\\\\textbf{y=8x+(-3)}\\\\\textbf{y=8x-3}\twoheadleftarrow\boldsymbol{Answer!}\ddot\smile[/tex]
Suppose that people who study very hard for the bar exam have an odds of 1.22 of passing the bar exam. what is the probability someone who studies very hard for the bar passe?
Answers
0.45 is the probability someone who studies very hard for the bar passe.
What is probability?
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.Odds of passing = 1.22 = p ( passing)/ P(not passing)
P(Pass)/P( fail) = 1.22
p (pass) = 1.22 p (fail)
P(pass) + P(fail) = 1
1.22 p (fail) + p(fail) = 1
2.22 p(fail) = 1
P (fail) = 0.4505 ≅ 0.45
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if you are given the sum of the squares of three consecutive integers, what four digits can never occur in the ones place?
Answers
As given the sum of squares of three consecutive integers, four digits which never occur in the ones place are 1,3,6,8.
As given,
Let x -1 , x , x +1 are three consecutive integers.
Sum of the squares of three consecutive integers
= (x -1)² +x² + (x+1)²
= x² -2x +1 +x² +x² +2x +1
=3x² +2
Now substitute x = 0,1,2,3,4,5,6,7,8,9
Sum = 2, 5,14,29, 50, 77, 110, 149, 194, 245
Four digit never occur at ones place = 1,3,6,8
Therefore, as given the sum of squares of three consecutive integers, four digits which never occur in the ones place are 1,3,6,8.
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Can you pls help me tink u <3
:Circle the part of the expression that you would complete first.
a. -4 x 32 + 6
b. 4(13 - 6)
c. 3 x (-2)^3 divide symbol 6
d. (6 + 2) - 15 divide symbol 5 x 2
e. 8 - 4(2 + 5^2) divide symbol 12
pls thx!
Answers
b.) (13-6)
c.) (-2)^3
d.) (6+2)
e.) (2+5^2)
Which of the following is not a function? (There may be more than one answer). Explain Clearly Please.
Answers
The options that are not functions from those given are; Options B and C.
How to Identify Functions?
The vertical line test is a method that is used to determine given relation is a function or not.
A) This table can be classified as a function because the input x-values have independent y-values as output. The only repeated output value is 7. Thus, we can say that it is likely a quadratic function with x-intercept as x = 2.
B) This cannot be a function because the same input values which is 6 has 2 different output values.
C) Similar to B above, this curve cannot be a function because some input values have 2 output values which is not a property of a function.
D) This is a function because of the wave and it is likely a trigonometric function.
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Seven times the sum of a number and 1
Use X as “Of a Number”
Answers
Answer:
7 (x + 1)
Hope this helps :)
Step-by-step explanation:
The equation above shows the statement, "Seven times the sum of a number and 1."
A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 11000 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 50-kilogram crates that can be loaded into the shipping container.
The Answer is
-50x+11000 ≤ 25000
x ≤ 402
Fr33 P0!nt$
Answers
The inequality will be 50x ≤ 25000 - 11000 and the value of x will be x ≤ 402.
How to calculate the value?From the information, the shipping container will be used to transport several 50-kilogram crates across the country by rail and the greatest weight that can be loaded into the container is 25000 kilograms.
Let the number of 50-kilogram crates that can be loaded into the shipping container be represented by x.
This will be:
50(x) + 11000 ≤ 25000
50x+11000 ≤ 25000
Collect like terms
50x ≤ 25000 - 11000
50x ≤ 14000
Divide
50x/50 ≤ 14000 / 50
x ≤ 402
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How many square feet of outdoor carpet will we need for this hole
11ft
7ft
2ft
3ft
Answers
Answer:
you will need 23 square feet because if you add it all up that's what you get
What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.
Answers
Answer:11/57
Step-by-step explanation:
Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. cos(t), sin(t); quadrant iv
Answers
if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). [tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
What is Trig Identities?Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:
sin² t + cos² t = 1
According to the given data:For an angle t in Quadrant IV, we know sin t is positive.
From the trig identity sin² t + cos² t = 1
we can also write as:
sin t + cos t:
Now,
sin² t + cos² t = 1
sin² t = 1 - cos² t
sin t = ±√( 1 - cos² t)
As noted above,
sin t is positive for t in the Quadrant IV, and so we have
sin t = √( 1 - cos² t)
We know that
[tex]\cos t=\frac{1}{\sec t}[/tex]
So, the equation will be
[tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
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simplify 5• (-8) • 2
Answers
Answer:
-80
Step-by-step explanation:
This question involves order of operations.
Since all operators are multiply, we will evaluate them from left to right.
5 × -8 × 2
= - 40 x 2
= - 80
Answer:
-80
Step-by-step explanation:
BRAINLIEST ONLY GIVEN IF ANSWERED PROPERLY, WILL REPORT IF SPAM
Answers
Answer:
s/2πh
Step-by-step explanation:
dividing both sides by 2 will result in s/2 = πrh
dividing both sides by π will result in s/2π = rh
dividing both sides by h results in s/2πh = r
comment if you need further explanation
(no brainliest needed)
Please help i will give brainly
Answers
Answer:
A. {-4, 2, 3, 8}
Step-by-step explanation:
The range of a function is the set of all possible output values (y-values).
From inspection of the graph, the coordinates of the points are:
(-11, 2)(-3, -4)(2, 3)(5, -4)(8, 8)Therefore, the set of y-values is {-4, 2, 3, 8}. This is the range of the graphed function.
What is x=17+3
What does x equals
Ps hi Wana be friends
Answers
Answer:x=20
Step-by-step explanation:You would keep x by itself and you would add 17+3 which would equal 20.So therefore the answer would be x=20.
When some software companies develop software, they do it with "planned obsolescence"
in mind. This means that they plan on the sale of the software to rise, hit a point of
maximum sales, then drop and eventually stop when they release a newer version of the
software. Suppose a graph of the curve showing the number of sales over time can be
modeled with a parabola and that the company plans on the "life span" of its product to be
6 months, with maximum sales reaching 1.5 million units. Write an equation that models
this situation.
Answers
The equation of the parabola that models the given situation is y=-1/6 (x-3)^2 +1.5.
Define parabola and its types.
A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.
To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by [tex]$\mathrm{y}=a(x-h)^2+\mathrm{k}$[/tex]or [tex]$\mathrm{x}=a(y-k)^2+\mathrm{h}$[/tex], where [tex]$(\mathrm{h}, \mathrm{k})$[/tex] denotes the vertex. A regular parabola's standard equation is y^2= 4ax
Now, the equation of parabola for the given situation is calculated as:
y=a(x-3)^2 +1.5
Now, put the value of x=0 and y=0.
0=a(0-3)^2+1.5
0=9 a+1.5
-9 a=1.5
a=-1.5 / 9
a=-1 / 6
Now, put the value of a in equation[tex]$\mathrm{y}=a(x-3)^2+1.5$[/tex] to obtain:
y=-1/6 (x-3)^2 +1.5
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Can someone help plss
Answers
Answer:
See below
Step-by-step explanation:
Plug in each number for x to test each equation
X=1
Y=-3x + 22 = - 3(1) + 22 = 19
X=3
Y= -3(3) + 22 = - 9 + 22 = 13
And so on, if they match the y row, then it's the correct answer
What is 1/5 of (-3, -2) to (1, 1)?
Answers
The point at 1/5 of the coordinate points is (-11/5, -7/5)
How to determine the point?The coordinates are given as:
(-3, -2) to (1, 1)?
The location 1/5 can be represented as
m : n = 1 : 4
The location of the point is then calculated as:
P = 1/5 * (mx2 + nx1, my2 + ny1)
This gives
P = 1/5 * (1 * 1 + 4 * -3, 1 * 1 + 4 * -2)
Evaluate
P = 1/5 * (-11, -7)
This gives
P = (-11/5, -7/5)
Hence, the point at 1/5 of the coordinate points is (-11/5, -7/5)
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A cube has a volume of 2197m3. Its surface is to be painted. Each can of paint covers about 40m2. How many cans of paint are needed? justify your answer.
Answers
The cans of paint that are needed is 25 cans.
How to calculate the value?It should be noted that the sides of the cube will be:
= 3✓2197
= 13
Each side is 13m
Therefore, the total surface area will be:
= 6s²
s = sides
= 6(13)²
= 1014m²
Therefore, the cans needed will be:
= 1014/40
= 25
Therefore, 25 cans are needed.
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Select all the true statements.
1/2
3 4
#
5 6
8
A 23 22 because they are alternate interior angles.
OB. m21+ m23 = 180 because they form a straight angle.
C. 23 26 because they are alternate interior angles.
26 and mz1 + m23 = 180.
OD. 21 and 26 are supplementary because 23
OE 21 23 because they are vertical angles.
>
Answers
The true statements regarding this situation are as follows:
Angles 3 and 6 are congruent because they are alternate interior angles.Angles 1 and 3 add to 180º as they are straight angles.Angles 1 and 6 are supplementary.What is the missing information?The diagram is missing, but it is given on the graph at the end of the answer. (not drawn to scale)
What are the correct statements?The alternate interior angles are between the two parallel lines, one in each side, and they are congruent.
Hence:
Angles 3 and 6 are congruent because they are alternate interior angles.
Straight angles are angles of 180º on a line, hence:
Angles 1 and 3 add to 180º as they are straight angles.
Since angles 3 and 6 are congruent(alternate interior), angles 1 and 6 will also be supplementary, as they add to 180º.
A similar problem, in which a transversal cuts two parallel lines, is given at the end of the answer.
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100 points because I really need the answer to this soon
Simplify the expression [tex]\sqrt\frac{9x^{3}}{4y^{2}}[/tex]. Show your work
Answers
[tex]\bold{H \: e \: y \: o \: !}[/tex]
__________________
[tex]\mathtt{\sqrt{\frac{9x^3}{4y^2}}}[/tex]
__________________
Apply radical rule: [tex]\mathtt{=\sqrt{\frac{a}{b}}} \: = \: \mathtt{\sqrt{\frac{a}{b}}},[/tex] assuming [tex]\mathtt{a \geq 0, \: b \: \leq 0}[/tex]
[tex]\mathtt{=\sqrt{\frac{9x^3}{4y^2}}}[/tex]
__________________
Simplify: [tex]\mathtt{\sqrt{9x^3}} \: : \: \mathtt{3x\sqrt{x}}}[/tex]
[tex]\mathtt{=\sqrt{\frac{3x\sqrt{x}}{4y^2}}}[/tex]
__________________
Simplify: [tex]\mathtt{\sqrt{4y^2}} \: : \: \mathtt{2y}[/tex]
[tex]\mathtt{\frac{3x\sqrt{x}}{2y}}[/tex]
Hope It Helps!
A n s w e r e d : - ᴀᴅʀɪᴀɴɴᴏɪʀ
Which expression simplifies to 2√/15?
Answers
The simplification of the number 2√15 is 7.74.
What is defined as taking square root?Squaring a number would be the inverse operation of square rooting it.
The square of a number is really the value obtained by multiplying the number by itself, whereas the square root of such a number is obtained by locating a number that, when squared, yields the original number. If 'a' has been the square root of 'b,' then a × a = b.A number's square root is the value of power 1/2 of such a number. In all the other phrases, it is the number for whom product yields the original number on its own. It is represented by the symbol '√ '. The square root sign is known as a radical, and the number beneath it is known as a radicand.The given expression is;
= 2√15
For finding the value of √15; use long division method.
√15 = 3.87
Put the value;
= 2 × 3.87
= 7.74.
Thus, the value of the expression is found as 7.74.
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The scale for Karima's drawing is 2 cm to 5 m. Explain what this means in your own words.
Answers
Answer:
Step-by-step explanation:
It means she made a rectangle. 2cm wide, 5cm high.
albert measured a house and its lot and made a scale drawing. the house's driveway is 3 inches wide in the drawing. the actual driveway is 15 feet wide. what is the scale of the drawing?
Answers
The scale of the drawing is 36 inches.
What is the conversion factor?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.So, it is given that the house's driveway is 3 inches wide in the drawing and the actual driveway is 15 feet wide.
As 1 foot = 12 inchesthen, 15 feet = 12(15) inches15 feet = 180 inchesAs 15 feet is 3 inches in drawing that is 15/5 = 3. (Given)Now, 180/5 = 36 inchesTherefore, the scale of the drawing is 36 inches.
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The correct question is given below:
Albert measured a house and its lot and made a scale drawing. The house's driveway is 3 inches wide in the drawing. The actual driveway is 15 feet wide. What is the scale of the drawing? 1 inch: feet
What is the fraction 9/5 x + 23 greater than or equal to -50 (negative 50)
Answers
Answer:
x [tex]\geq[/tex] -40.6
Step-by-step explanation:
9/5x + 23 [tex]\geq[/tex] -50 (subtract 23 over to other side)
9/5x [tex]\geq[/tex] -73 (multiply by 5)
9x [tex]\geq[/tex] -365 (divide by 9)
x [tex]\geq[/tex] -40.6