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Otrada [13]
3 years ago
14

Twice the sum of a number and eleven is twenty two less than three times the number . Find the number

Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0
So for this we need to convert the word problem into an equation, and it'll look like this: 2(n+11)=3n-22 (n=number). And from there, we can solve.

Multiply 2 and (n+11) and your equation should look like 2n+22=3n-22

Add 22 on each side, and your equation should look like 2n+44=3n

Subtract 2n on each side, and your answer should should be 44=n
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The function h(t)=16t^2+144 represents the height , h(t) , in feet , of an object from the ground at t seconds after it is dropp
mafiozo [28]
0≤h(t)≤144, which means that the height of the object can be between 0 and 144 feet, including those limits.
4 0
3 years ago
Find the slope between these two points: (3, -10) and (-2, -30). Show all of your work. what the answer
Harlamova29_29 [7]

\huge\text{$m=\boxed{4}$}

Hey there! Start with the slope formula, where (x_1,y_1) and (x_2,y_2) are the two known points.

\begin{aligned}m&=\dfrac{y_2-y_1}{x_2-x_1}\\&=\frac{-30-(-10)}{-2-3}\end{aligned}

Simplify.

\begin{array}{c|l}\textbf{Solving}&\textbf{Reason}\\\cline{1-2}\\m=\dfrac{-30+10}{-2-3}&x-(-y)=x+y\\\\m=\dfrac{-20}{-5}&\text{Addition and subtraction}\\\\m=\dfrac{20}{5}&\text{The negatives cancel out}\\\\m=\dfrac{4}{1}&\text{Divide the numerator and denominator by $5$}\\\\m=\boxed{4}&\dfrac{x}{1}=x\end{aligned}

3 0
3 years ago
Read 2 more answers
A very large study showed that aspirin reduced the rate of heart attacks by 44%. A pharmaceutical company thinks they have a dru
Butoxors [25]

Answer: H_0:\mu=0.44\ ,H_a:\mu

Step-by-step explanation:

Since we have given that

A very large study showed that aspirin reduced the rate of heart attacks by 44%.

we claim that they have a drug that will be more effective than aspirin.

so, our hypothesis would be

H_0:\mu=0.44\\\\H_a:\mu

So, it will be one tail test.

Hence, H_0:\mu=0.44\\\\H_a:\mu

6 0
3 years ago
If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x
nadya68 [22]

The value of the composite function f(g(x)) is 2x^2 + 15

<h3>How to evaluate the composite function f(g(x))?</h3>

The functions are given as:

f(x) = 2x + 1

g(x) = x^2 + 7

We have the function f(x) to be

f(x) = 2x + 1

Substitute g(x) for x in the equation f(x) = 2x + 1

So, we have

f(g(x)) = 2g(x) + 1

Substitute g(x) = x^2 + 7  in the equation f(g(x)) = 2x + 1

f(g(x)) = 2(x^2 + 7) + 1

Open the brackets

f(g(x)) = 2x^2 + 14 + 1

Evaluate the sum

f(g(x)) = 2x^2 + 15

Hence, the value of the composite function f(g(x)) is 2x^2 + 15

Read more about composite function at

brainly.com/question/10687170

#SPJ1

<u>Complete question</u>

if f(x) = 2x + 1 and g(x) = x^2 + 7

which of the following is equal to f(g(x))

8 0
1 year ago
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