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Katyanochek1 [597]
3 years ago
12

Find the rate of change

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0
\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}\\\\
-------------------------------\\\\
h(x)= 2^x  \qquad 
\stackrel{2\le x\le 4}{\begin{cases}
x_1=2\\
x_2=4
\end{cases}}\implies \cfrac{h(4)-h(2)}{4-2}\implies \cfrac{2^4-2^2}{2}
\\\\\\
\cfrac{16-4}{2}\implies \cfrac{12}{2}\implies 6
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32 because 1plus 31 equals 32
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The following linear equation represents the line of best fit for the following scatter plot
Lynna [10]

Answer:

C) About 243 hits

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define </u>

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

<em>We can use this to predict the average of the scatter plot. </em>

home runs = y = 35

<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>

  1. Substitute [BLF]:                    35 = 0.15x - 1.5
  2. Add 1.5 on both sides:          36.5 = 0.15x
  3. Divide 0.15 on both sides:    243.333 = x
  4. Rewrite:                                  x = 243.333

Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.

6 0
2 years ago
Write an equivalent expression for 27x+18
Natali5045456 [20]
The answer is 9(3x+2)
6 0
3 years ago
3
Ierofanga [76]

Answer:

A

Step-by-step explanation:

Sum the product of the components in the first row of A with the corresponding components of the first column in B

Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is

AB

= \left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right] \left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right]

= \left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right]

= \left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right]

= \left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right]  → A

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What is the factored form of x3 + 64?
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Option B, (x+4)(x^2-4x+16)

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