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3 years ago

18 of the 30 horses were blue what percent of the Horseshoe blue

Mathematics

1 answer:

Minchanka [31]3 years ago

6 0

18 divided by 30 equals .6
0.6=60%
Hope this helps and please give brainliest!

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Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9

Juli2301 [7.4K]

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

$A = \frac{h(b)-h(a)}{b-a}$

In this question:

Over the interval [-9,-2], so $a = -9, b = -2, b - a = -2 -(-9) = 7$

The function is:

$h(x) = -x^2 - 5x + 14$

$h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22$

$h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20$

Then

$A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6$

The average rate of change of the function over the interval is of 6.

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3 years ago

Write an equation to represent the function.

svet-max [94.6K]

Answer:

Step-by-step explanation:

Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:

Lifetime membership fee = $ 50

First video game is free

Then any video game purchased after = $ 25.

Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:

If x = 1, then f(1) = 50 + 0 = 50
If x = 2, then f(2) = 50 + 25 = 75
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3 years ago

Examples of how to reduce friction.

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn dt = 6 t + 1 where t is th

yaroslaw [1]

Answer:

The answer is "253"

Step-by-step explanation:

In the given- equation there is mistype error so, the correct equation and its solution can be defined as follows:

Given:

$\bold{\frac{dn}{dt} = 6\sqrt{t+1}}\\$

$\to dn= 6\sqrt{t+1} \ \ dt.....(a)\\\\$

integrate the above value:

$\to \int dn= \int 6\sqrt{t+1} \ \ dt \\\\\to n= \frac{(6\sqrt{t+1} )^{\frac{3}{2}}}{\frac{3}{2}}+c\\\\\to n= \frac{(12\sqrt{t+1} )^{\frac{3}{2}}}{3}+c\\\\$

When the value of n=1 then t=0

$\to 1= \frac{12(0+1)^{\frac{3}{2}}}{3}+c\\\\ \to 1= \frac{12(1)^{\frac{3}{2}}}{3}+c\\\\\to 1-\frac{12}{3}=c\\\\\to \frac{3-12}{3}=c\\\\\to \frac{-9}{3}=c\\\\\to c=-3\\$

so the value of n is:

$\to n= \frac{(12\sqrt{t+1} )^{\frac{3}{2}}}{3}-3\\\\$

when we put the value t= 15 then,

$\to n= \frac{(12\sqrt{15+1} )^{\frac{3}{2}}}{3}-3\\\\\to n= \frac{(12\sqrt{16} )^{\frac{3}{2}}}{3}-3\\\\\to n= \frac{(12\times 64)}{3}-3\\\\\to n= (4\times 64)-3\\\\\to n= 256-3\\\\\to n= 253$

6 0

3 years ago