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elena-14-01-66 [18.8K]
3 years ago
12

Here’s a graph of a linear function. Write the equation that describes that function ??

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(1 - 0)

m = 1/1

m = 1

Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = 1x

y = 1x + 1

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Answer:

They don’t

Step-by-step explanation:

They can be the same height but one can be wider than the other

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PLEAS HELP ASAP PLEAS 20 points<br> 1 over 3b = 4 over 5. what equals b in this equation?
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Answer:

b = 5/12

Step-by-step explanation:

You have the proportion

1/(3b) = 4/5        

Cross multiply to get rid of the fractions...

5 = 12b                now solve for b

5/12 = b                 (divide by 12 on both sides)

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2 years ago
Find the exact solution of x 3x^2+7=28
chubhunter [2.5K]

Answer

x^2 = 7

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6 0
3 years ago
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3 years ago
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
3 years ago
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