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3 years ago

Which is the equation of the line graphed below?

Mathematics

1 answer:

Radda [10]3 years ago

4 0

Answer:

The answer is A because the base has to be positive.

Step-by-step explanation:

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Given the function f(x) = 5x^2 - x + 20, find f(3)<br> A) -20<br> B)-13<br> C) 62<br> D) 64

Viktor [21]

<h3>Answer: 62 (choice C)</h3>

Work Shown:

f(x) = 5x^2 - x + 20

f(3) = 5(3)^2 - 3 + 20

f(3) = 5(9) - 3 + 20

f(3) = 45 - 3 + 20

f(3) = 42 + 20

f(3) = 62

4 0

2 years ago

Read 2 more answers

Five books on Lisa's reading list are fiction.

elena55 [62]

25 books in her entire reading list.

7 0

3 years ago

Read 2 more answers

A line through the points $(2, -9)$ and $(j, 17)$ is parallel to the line $2x + 3y = 21$. What is the value of $j$?

lys-0071 [83]

Answer:

j=-37

Step-by-step explanation:

step 1

Find the slope of the given line

we have

$2x+3y=21$

Convert to slope intercept form

Isolate the variable y

subtract 2x both sides

$3y=-2x+21$

divide by 3 both sides

$y=-\frac{2}{3}x+7$

The slope is

$m=-\frac{2}{3}$

step 2

we have the points

(2,-9) and (j,17)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{17+9}{j-2}$

$m=\frac{26}{j-2}$

Remember that

If two lines are parallel then their slope are equal

therefore

$\frac{26}{j-2}=-\frac{2}{3}$

$26(3)=-2(j-2)\\78=-2j+4\\2j=4-78\\2j=-74\\j=-37$

7 0

3 years ago

What is the factored form of 9x2 + 21x + 10?

Oksanka [162]

(3x+2 )(3x+5 )

hope this helps :)

5 0

3 years ago

3. A rock club's profit from booking local bands depends on the ticket price, Using past receipts, the owners find that the prof

jarptica [38.1K]

$p=-10t^2\text{ + 500t + 60}$

Part A

To find the ticket price when the price is $16

Let us substitute the value of t = 16

p = -10 x (16 x16) + 500 x 16 + 60

p = -2560 + 8000 + 60

p =$ 5500

Part B

To get the maximum profit, we will have to differentiate P with respect to t

$\begin{gathered} p=-10t^2\text{ + 500t + 60} \\ \frac{dp\text{ }}{dx}=\text{ -20t + 500} \end{gathered}$

The maximum profit will be obtained when the derivative is zero

-20t + 500 = 0

20t = 500

t = 500/20

t = 25

This means that the ticket price has to be $25 so as to obtain the maximum price

Part C

The maximum profit will be obtained by substituting t = 25 into the original equation

$\begin{gathered} p=-10t^2\text{ + 500t + 60} \\ p\text{ = -10 x 25 x 25 + 500 x 25 + 60} \\ p\text{ =}6310 \end{gathered}$

6 0

2 years ago