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3 years ago

This graph represents the path of a baseball hit during practice.

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

Answer:

Step-by-step explanation:

x-coordinate of the vertex is the time the baseball reaches maximum height.

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A company estimates that its cost and revenue can be modeled by the functions C)-0.75x+20,000

lisabon 2012 [21]

Let C(x) = -0.75x + 20,000 and R(x)= -1.50x then the profit function exists noted as P(x) = R(x) - C(x)

P(x) = -1.50x - (-0.75)x + 20,000

P(x) = -0.75x + 20000

Therefore, the profit function exists -0.75x + 20000.

<h3>How to find profit function?</h3>

The profit function can be estimated by subtracting the cost function from the revenue function. Let profit be expressed as P(x), the revenue as R(x), the cost as C(x), and x as the number of items traded. Then the profit function exists noted as P(x) = R(x) - C(x).

Given:

C(x) = -0.75x+20,000 and R(x)= -1.50x

P(x) = R(x) - C(x)

= -1.50x - (-0.75)x + 20,000

= -1.50x + 0.75x + 20,000

Apply rule -(-a) = a

= -1.5x + 0.75x + 20000

Add similar elements:

-1.5 x + 0.75x = -0.75x

P(x) = -0.75x + 20000

Therefore, the profit function exists -0.75x + 20000.

To learn more about profit function refer to:

brainly.com/question/16866047

#SPJ9

8 0

2 years ago

Helppp what’s is itttttt

ra1l [238]

-4 is the answer in this problem

6 0

4 years ago

The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's p

ASHA 777 [7]

Answer:

$f = 7s -2$

$f + s =53$

Step-by-step explanation:

Given

Let

f = Father's age

s = Son's age

We'll solve this question, while reading through the instructions

From the first statement;

f is 2 less than 7 times s.

This means

$f = 7s -2$

In two years time, the father will be f +2 and the son will be s + 2

So, their sum is:

$(f+2) + (s + 2) = 57$

$f + 2 + s + 2 =57$

Collect like terns

$f + s =57-2-2$

$f + s =53$

So, the equations are:

$f = 7s -2$

$f + s =53$

5 0

3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

Burka [1]

Answer:

$x=-0.75$

Step-by-step explanation:

The given equation is

$4^{-5x-7}=6^{2x-1}$

We take logarithm of both sides to base 10.

$\log(4^{-5x-7})=\log(6^{2x-1})$

$(-5x-7)\log(4)=(2x-1)\log(6)$

We expand the brackets to get;

$-5x\log(4)-7\log(4)=2x\log(6)-\log(6)$

Group similar terms;

$-7\log(4)+\log(6)=2x\log(6)+5x\log(4)$

$-7\log(4)+\log(6)=(2\log(6)+5\log(4))x$

$\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x$

$x=-0.752478$

To the nearest hundredth.

$x=-0.75$

3 0

4 years ago

find the values of x and y that make these triangles congruent by the hl theorem x=2,y=3 x=-2,y=3x=3,y=2x=4,y=8

AnnyKZ [126]

Answer:

The correct option is x=3 , y=2

Step-by-step explanation:

According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.

By using this theorem we can set up the system of equations as follows:

x=y+1 ...(1)

2x+3= 3y + 3 ..(2)

Now we will plug the value y+1 of equation 1 in equation 2.

2x+3 = 3y+3

2(y+1)+3=3y+3

2y+2+3=3y+3

2y+5=3y+3

Now combine the like terms:

5-3=3y-2y

2=y

y=2

Now plug the value y=2 in equation 1.

x=y+1

x=2+1

x=3

Thus the values of(x.y) are{(2,3)}

Therefore the correct option is x=3 , y=2 .....

3 0

3 years ago