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Bond [772]
3 years ago
8

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3

Mathematics
2 answers:
pantera1 [17]3 years ago
5 0

Answer:

 intercept is 3 

X intercept is -3/7

Radda [10]3 years ago
5 0

For this case we have the following equation:

y = 7x + 3

To find the y-intersection values we do x = 0:

y = 7 (0) +3\\y = 0 + 3\\y = 3

To find the x-intersection values we doy = 0

0 = 7x + 3

Subtracting 3 on both sides:

-3 = 7x

Dividing between 7 on both sides:

x = - \frac {3} {7}

So, we have:

x-intersection: (- \frac {3} {7}, 0)

y-intersection: (0,3)

Answer:

Option B

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The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface
never [62]

Answer:

2\sqrt{2}\ ft\ longer

Step-by-step explanation:

<u>Area Of A Cube </u>

Suppose a cube with side length s, the area of one side is

A_s=s^2

Since the cube has 6 sides, the total area is

A=6A_s=6s^2

But if we have the area, we can solve the above formula for s to get

A=6s^2

\displaystyle s=\sqrt{\frac{A}{6}}

We have two different cubes with areas 1,200 square inches and  768 square inches. Let's compute their side lengths

\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}

\displaystyle s_1=10\sqrt{2}\ ft

\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}

\displaystyle s_2=8\sqrt{2} ft

The difference between them is

10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft

The side of the cube with area 1,200 square inches is 2\sqrt{2}\ ft longer then the side of the cube with area 768 square inches

7 0
3 years ago
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Step-by-step explanation:

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Exponential Functions
nikitadnepr [17]

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Step-by-step explanation:

I calculated it logically

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3 years ago
From 1970 to 1980, the consumer price index (CPI) increased from 38.8 to 82.4. If a dozen eggs cost $0.25 in 1970 and the price
Ganezh [65]
Understanding the Question
This may not be the actual way that the US government prepares the CPI, but it will provide a comparison. 

You can set up a proportion. The base number for the CPI is 38.8 in 1970. That number (38.8) has more than doubled to get to 82.4, which also tells us that there was inflation. What your parents and grandparents bought in 1970 went to double the amount in 1980. Gasoline certainly did that.

Givens
CPI in 1970 = 38.8
CPI in 1980 = 82.4
Eggs 1970 =  0.25
Edgs 1980 = X

Formula substitution and solution
CPI 1970 / CPI 1980 = cost of eggs 1970 / cost of eggs 1980
38.8/82.4 = 0.25 / x Cross multiply
38.8 * x = 0.25 * 82.4
38.8 * x = 20.625
x = 20.628 /38.8
x = 0.53 dollars of 53 cents.

53 cents in 1980 which is slightly double as predicted.

Footnote
As a matter of interest, my wife tells me that eggs now cost about 3.58 where we live. That's almost 7 times as expensive as they were in 1980. Something to think about. By the way, the price quoted is in Canada.
7 0
3 years ago
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