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Varvara68 [4.7K]
3 years ago
6

Choose the number sentence that illustrates the distributive property of multiplication over addition.

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

A

Step-by-step explanation:

It is the only equation with addition in all the parenthesis.

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Explain why the quadratic relation y=2x^2+3x+5 would have no zeros
alex41 [277]

Complete the square to rewrite the quadratic:

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

... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5

... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8

... = 2 (<em>x</em> + 3/4)² + 31/8

Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.

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Step-by-step explanation:

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A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service
Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

y-264.70=39.95(x-6)

Part b) The equation in slope intercept form is

y=39.95x+25

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

y-y1=m(x-x1)

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

m=39.95\ \frac{\$}{month}

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

y-264.70=39.95(x-6) ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

we have

y-264.70=39.95(x-6)

Isolate the variable y

Distribute right side

y-264.70=39.95x-239.70

Adds 264.70 both sides

y=39.95x-239.70+264.70

y=39.95x+25

Part c) what is the setup fee?​

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

y=39.95(0)+25

y=\$25

The setup fee is $25

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What is the value of tangent 45°?
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:) idk what else to say
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