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3 years ago

Evaluate the function: h(x)= √5x for x = 10. Write your answer in simplest form.

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

Answer:

$5\sqrt{2}$

Step-by-step explanation:

$h(x)=\sqrt{5x} \\\\then\\\\h(10)=\sqrt{5*10} = \sqrt{50} = \sqrt{25*2} = \sqrt{25}*\sqrt{2} = 5*\sqrt{2} = 5\sqrt{2}$

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A certain company's main source of income is selling cloth bracelets. The company's annual profit (in thousands of dollars) as a

tester [92]

Answer:

8 thousand dollars

Step-by-step explanation:

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

$P(x)=-2x^2+16x-24$

a=-2 and b = 16

$x= \frac{-b}{2a}= \frac{-16}{2(-2)} = 4$

Now we plug in 4 for x and find out P(4)

$P(x)=-2(4)^2+16(4)-24$ = 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME *algebra 2*

Blizzard [7]

I hope this helpss.

8 0

3 years ago

What are the next two terms for the following sequence 1 , 8 , 27 , 64

mixas84 [53]

Answer:

125 and 216

Step-by-step explanation:

Here,

a₁ = (1)³ = 1

a₂ = (2)³ = 8

a₃ = (3)³ = 27

a₄ = (4)³ = 64

So,

a₅ = (5)³ = 125

a₆ = (6)³ 216

Thus, The next two terms for the following sequence 1 , 8 , 27 , 64 is 125 and 216

-TheUnknownScientist

7 0

3 years ago

A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?

notsponge [240]

Answer: $1.6\pi$

Step-by-step explanation:

If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68. A circle has 360 degrees. Thus, the arc takes up 48/360 of the circle. Thus, simply multiply $\frac{48}{360} * 12\pi$ to get 5.024 or 1.6pi.

Hope it helps <3

3 0

3 years ago

Read 2 more answers

A cab charges $1.50 for the first mile and $0.50 for each additional mile. Write and solve an inequality to determine how many m

ValentinkaMS [17]

1.50 + 0.50(x-1) < 25

1.50 + 0.50x - 0.50 < 25
1 + 0.50x < 25
-1 -1
0.50x < 24
 ÷0.50 ÷0.50
x < 48

1.50 + 0.50x < 25 ; x < 47 miles 3rd option in the choices.

To check:

1.50 + 0.50(47) < 25
1.50 + 23.50 < 25
25 < 25

5 0

4 years ago