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Svet_ta [14]
3 years ago
6

Emma works in a department store selling

Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer:253.33...

Step-by-step explanation:

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A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2;
nevsk [136]
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------

\bf f(x)= 4x^2  \qquad 
\begin{cases}
x_1=3\\
x_2=3+h
\end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)}
\\\\\\
\cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h}
\\\\\\
\cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h}
\\\\\\
\cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h
8 0
3 years ago
Solve the proportion to determine the value of x. <br><br> 2x / 5 = x+3 / 3
ale4655 [162]
When you solve a proportion, your first step should be to cross-multiply.

\frac{2x}{5} = \frac{x + 3}{3}

When you cross-multiply, you should get this equation:

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

Now, solve it using algebra.

(2x)(3) = (x + 3)(5)       Multiply
       6x = 5x + 15         Subtract 5x from both sides
         x = 15

The value of x is 15.
4 0
4 years ago
Find the quotient 115.338 ÷ 2.82​
MaRussiya [10]

Answer:

The quotient is 40.9

6 0
3 years ago
Plz right answer=brainlyest
brilliants [131]

Answer:

B—283 cm^2

Step-by-step explanation:

SA=πr^2 + πrl

r=5

l=13

SA=π5^2 + π5*13

SA=π25 + π65

SA=78.5398 + 204.2035

SA=282.7433

SA=283=B

3 0
3 years ago
8 1/4 divided by t = 2/11<br> Answer for t
Westkost [7]

Answer:

1 1/2

Step-by-step explanation:

Turn 8 1/4 into 33/4

Then multiply 33/4*2/11 to get 66/44 then simplify to 1 1/2

4 0
2 years ago
Read 2 more answers
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