MATHEMATICS HIGH SCHOOL

The function p(x)=-2(x-9)^2+100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 a piece?A.)$15
B.)$28
C.)$172
D.)$244

Answers

Answer 1

Answer:

Answer:

C. $172

Step-by-step explanation:

You plug in $15 into the problem and solve from there.

Related Questions

How do you solve (2z-3)(4z-7)=0
Plsss help me I need this paper by tomorrow
If the length of a rectangle isexpressed by 22 + 41-8 and thewidth is 3x What is the area of therectangle?
Calculate 1+2+3...+80 1+3+5+...+99 2+4+6...+100 3+7+11+15+...+43
Round off 0.825 to nearest units,tenths,hundreds

1. The length of a swimming pool is 8m longer than its width and the area is 105m2.

Answers

$width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2$

F(x)=|1/3x| translation 2 units to the left

Answers

Answer:

$f(x)=(1)/(3)|(x+2)|$

Step-by-step explanation:

We have been given a function $f(x)=|(1)/(3)x|$ . We are asked to translate the function to 2 units to the left.

We know that an absolute function is form $y=a|x-h|+k$ , where, (h,k) is vertex.

Let us recall translation rules.

$f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}$

$f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}$

$f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}$

$f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}$

Absolute value of 1/3 will be 1/3.

$f(x)=(1)/(3)|x|$

Therefore, our required function would be $f(x)=(1)/(3)|x+2|$ .

$f(x)=\left|(1)/(3)x\right|\xrightarrow{T_{\vec{a}= <-2;\ 0 >}}g(x)=f(x+2)=\left|(1)/(3)(x+2)\right|=\left|(1)/(3)x+(2)/(3)\right|$

Look at the picture.

Please help! Correct answer only!Cooper and Alice made a list of 7 psychology experiments they want to try at home. Each experiment tackles one specific psychology topic. 5 of the experiments involve cats.

If Cooper and Alice randomly choose 4 experiments to try over the summer, what is the probability that all of them involve cats?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability = 0.2603

Step-by-step explanation:

Consider the steps below;

$Probability of Experiment Involving Cats - 5 / 7,\nProbability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\n\n5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\n\nConclusion; Probability - 625 / 2401$

Solution; Probability = ( About ) 0.2603

Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?A. the formula for the area of a circle
B. the formula for the area of a trapezoid
C. the formula for the area of a triangle
D. the formula for the area of a rectangle

Answers

The formula for the area of a circle. Then the correct option is A.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

A. The formula for the area of a circle.

In the formula of circle, π is an irrational number, so the resulting area will be irrational.

B. The formula for the area of a trapezoid.

In the formula of trapezoid, all the value are rational number, so the resulting area will be rational.

C. The formula for the area of a triangle.

In the formula of triangle, all the value are rational number, so the resulting area will be rational.

D. The formula for the area of a rectangle.

In the formula of rectangle, all the value are rational number, so the resulting area will be rational.

Then the correct option is A.

More about the irrational number link is given below.

brainly.com/question/9466779

#SPJ5

Answer:

A: The formula for the area of a circle

Edg 2020

Two arcades have different pricing structures. Arcade A costs $5 to enter and $0.60 per game. Arcade B costs $7 to enter and $0.40 per game. How many games do you have to play in order for the two arcades to be the same price?

Answers

Answer:

you would have to play 10 games

Answer:

10 games

Step-by-step explanation:

Let C be cost and x be number of games

Arcade A: C = 5 + 0.6x

Arcade B: C = 7 + 0.4x

for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:

5 + 0.6x = 7 + 0.4x (subtract 5 fromboth sides)

0.6x = 7 + 0.4x - 5

0.6x = 2 + 0.4x (subtract 0.4x from both sides)

0.6x - 0.4x = 2

0.2x = 2 (divide both sides by 0.2)

x = 2 / (0.2)

x = 10

Which set of ordered pairs does not represent a function?O{(-2,5), (0, -9), (8,-2), (7,4)}
O{(-3,4), (-5,4), (7, -3), (2, -9)}
O {(2, -9), (-5, -1), (-6, -3), (-5,7)}
O {(1, -8), (-9,-2), (-4,0), (4, -8)}