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faltersainse [42]
2 years ago
11

Convert to standard form of the equation into the slope intercept form -3x-5y=-15

Mathematics
1 answer:
Mamont248 [21]2 years ago
6 0
Our goal is to get y by itself
We will first add 3x to both sides to get
-5y = 3x - 15
We will then divide both sides by -5 to get y by itself which becomes
y = -3/5x + 3
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A linear function and its inverse are given.
jarptica [38.1K]

Answer:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13        for the function.

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4         for the inverse.

Step-by-step explanation:

we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:

g(y) = x.

now we have

y=4x-3

y=(1/4)x+3/4

The only table that works for our first function is:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13

You can see this by replacing the values of x and see if the value of y also coincides.

Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.

The second table is that one:

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4

7 0
3 years ago
Read 2 more answers
PLEASE HELP! Find the distance between each pair of points. Round your answers to the nearest tenth.
strojnjashka [21]
A.
Distance = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\\\\  = \sqrt{\left( -4 - \left( -5 \right) \right)^2 + \left( -2 - \left( -3 \right) \right)^2} \\ \\  = \sqrt{ 1 + 1} \\ \\ = \sqrt{ 2 }

b. 
Distance = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\\\\ = \sqrt{\left( -4 - \frac{ 7 }{ 2 } \right)^2 + \left( \frac{ 5 }{ 2 } - 1 \right)^2} \\  \\= \sqrt{ \frac{ 225 }{ 4 } + \frac{ 9 }{ 4 }} \\ \\=  3 \frac{\sqrt{ 26 }}{ 2 }
6 0
3 years ago
Emily purchased three different sizes of popcorn at the movies. The medium popcorn was twice as expensive as the small popcorn.
MaRussiya [10]

Answer:

$5

Step-by-step explanation:

medium popcorn- 2x

total - $23

large- 2x+3

23=4x+3

20=4x

x=5

6 0
3 years ago
Read 2 more answers
On a certain day, the exchange rate was 60 U.S. dollars for 50 euro. How many U.S. dollars were 80 euro worth that day?
fgiga [73]

Answer: 90 U.S. dollars

If 60 U.S. dollars represwnt 50 euros, we will add.

80 euros represent 90 dollars because: there are 10 more euros than dollars.

Hope this helps!

6 0
3 years ago
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Pre Calc Question Help,
julsineya [31]

Answer:

Step-by-step explanation:

Domain is the set of all values of x where the function is defined. For this function the only limitation upon x exists when the denominator would equal zero, because division by zero is undefined. So the denominator 13-x cannot equal zero thus x cannot equal 13. Thus the domain is all real numbers except 13.

5 0
3 years ago
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