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Sunny_sXe [5.5K]
3 years ago
5

What expression is equivalent to 5(4 + 2x) Using distributive property

Mathematics
2 answers:
expeople1 [14]3 years ago
6 0
Hello!

The problem given in the image above has asked us to simplify the expression using the Distributive Property. The Distributive Property states the following:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we’ll use the first of the two formulas. Insert any known values given in the original equation:

a(b + c) = ab + ac
5(4 + 2x) = 5(4) + 5(2x)

Now simplify the right side of the equation:

5(4) + 5(2x) = 20 + 10x

We have now proven that 5(4 + 2x) is equivalent to the expression 20 + 10x.

I hope this helps!

Elodia [21]3 years ago
5 0
Using the distributive property, 10x + 20.

(5 * 4) + (5 * 2x) = 20 + 10x = 10x + 20.
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For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 1 y + 4 = 5x What
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The answer is A.

Step-by-step explanation:

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Which explanation can be used to derive the formula for the circumference of a circle?
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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov
Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
\int\limits^a_a {f(x)} \, dx  = 0

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

5 0
2 years ago
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