Answer:
The slope is 13.
The x intercept is
.
The y intercept is
.
Step-by-step explanation:
1. Finding the slope.
This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.
2. Finding the x intercept.
The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:
![13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}](https://tex.z-dn.net/?f=13x-y%20%2B%2012%20%3D%200%5C%5C%5C%5C13x-%280%29%20%2B%2012%20%3D%200%5C%5C%5C%5C13x%2B12%20%3D%200%5C%5C%5C%5C13x%3D%20-12%5C%5C%5C%5Cx%3D%5Cfrac%7B-12%7D%7B13%7D)
<u>The x intercept is </u>
<u>.</u>
3. Finding the y intercept.
The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:
![13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12](https://tex.z-dn.net/?f=13x-y%20%2B%2012%20%3D%200%5C%5C%5C%5C13%280%29-y%20%2B%2012%20%3D%200%5C%5C%5C%5C-y%20%2B%2012%20%3D%200%5C%5C%5C%5C-y%3D-12%5C%5C%5C%5Cy%3D12)
<u>The y intercept is </u>
<u>.</u>
Using proportions, it is found that $55.7 billion was donated to educational organizations.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Of the $371 billion donated in total, 15% went to educational organizations, hence the amount is given by:
A = 0.15 x 371 = $55.7 billion.
Hence $55.7 billion was donated to educational organizations.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
265.65
Step-by-step explanation:
6.25*8 =50
6.25/2=3.13
50+3.13=53.13
53.13*5=265.65
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
A graph shows the zeros are -5, -3, 0, 2. Of these, only 2 is on your list.
2 is a zero of the expression
We have the equation:
![y=a\cdot b^x](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex)
We know two points and we will use them to calculate the parameters a and b.
The point (0,3) will let us know a, as b^0=1.
![\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Da%5Ccdot%20b%5Ex%20%5C%5C%203%3Da%5Ccdot%20b%5E0%3Da%20%5C%5C%20a%3D3%20%5Cend%7Bgathered%7D)
Now, we use the point (2, 108/25) to calcualte b:
![\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D3%5Ccdot%20b%5Ex%20%5C%5C%20%5Cfrac%7B108%7D%7B25%7D%3D3%5Ccdot%20b%5E2%20%5C%5C%203%5Ccdot%20b%5E2%3D%5Cfrac%7B108%7D%7B25%7D%20%5C%5C%20b%5E2%3D%5Cfrac%7B108%7D%7B25%5Ccdot3%7D%3D%5Cfrac%7B108%7D%7B3%7D%5Ccdot%5Cfrac%7B1%7D%7B25%7D%3D%5Cfrac%7B36%7D%7B25%7D%20%5C%5C%20b%3D%5Csqrt%5B%5D%7B%5Cfrac%7B36%7D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B%5Csqrt%5B%5D%7B36%7D%7D%7B%5Csqrt%5B%5D%7B25%7D%7D%20%5C%5C%20b%3D%5Cfrac%7B6%7D%7B5%7D%20%5Cend%7Bgathered%7D)
Then, we can write the equation as: