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Pie
3 years ago
9

1. Multiply using distributive property.

Mathematics
2 answers:
luda_lava [24]3 years ago
7 0

<u>Answer:</u>

2. 3x^2-13x-10<em />

<u>Step-by-step explanation:</u>

<em>Expand (x−5)(3x+2) using the FOIL Method.</em>

Step 2: <em>Apply the distributive property.</em>

<em />x(3x+2)-5(3x+2)<em />

Step 3: <em>Apply the distributive property.</em>

x(3x)+x(2)-5(3x+2)

Step 4: <em>Apply the distributive property.</em>

<em />x(3x)+x(2)-5(3x)-5(2)<em />

<em>Simplify and combine like terms.</em>

Step 5: <em>Simplify each term.</em>

<em />3x^2+2x-15x-10<em />

Step 6: <em>Subtract 15x from 2x.</em>

<em />3x^2-13x-10<em />

RoseWind [281]3 years ago
3 0

Answer:

The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.

Step-by-step explanation:

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Carla is going to arrange her 4 books on a shelf: Algebra, Trigonometry, Geometry and Calculus. How many different possible arra
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Arranging of books is an illustration of permutation and combination

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<h3>How to calculate the number of arrangement</h3>

The number of books is given as:

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5 0
2 years ago
Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

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Hence, the average rate of change is:

\dfrac{97}{12}

8 0
3 years ago
Read 2 more answers
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