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Ulleksa [173]
3 years ago
13

Consider the equation:

Mathematics
1 answer:
monitta3 years ago
7 0
<h3>Answers: a = 10, b = 0</h3>

(b can be anything you want as long as its not -4)

======================================================

Work Shown:

Note how ax+b looks really similar to mx+b. All that is different is the slope m is replaced with the letter 'a'.

On the left side, 10x-4 is in the form mx+b with m = 10 as the slope. If we made a = 10, then the slope of the right side would also be 10 and we'd have parallel lines as long as b is not -4.

If b = -4 along with a = 10, then we'd have 10x-4 on the right hand side. This leads to infinitely many solutions.

If b is anything but -4, and a = 10, then we have two parallel lines with no solutions since parallel lines never cross. I'm picking b = 0 since 0 is the easiest number to pick on. You can pick anything you want (as long as its not -4 of course) for the value of b.

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Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)
Tcecarenko [31]

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

-1 = -6 + b

5 = b

Your new equation is...

y = -2x + 5

6 0
2 years ago
The notation f:S→T denotes that f is a function, also called a map , defined on all of a set S and whose outputs lie in a set T
AnnyKZ [126]

Answer:

There are many. Two examples are

f(x) = x, \\f(x) = x^3

Step-by-step explanation:

There are many examples. The simplest is

1 -

f(x) = x

It is trivial that

\text{if \,\,\,\,}  f(x) = f(y) \,\,\,\,\,\text{then} \,\,\,\,\, x=y

2 -

f(x) = x^3

That function is injective as well.

\text{if \,\,\,\,}  x^3 = y^3 \,\,\,\,\,\text{then} \,\,\,\,\, x=y

An example of a function that is NOT injective is

f(x) = x^2

Notice that

f(-2) = (-2)^2 = 2^2 = 4

4 0
4 years ago
all of it. I'm confused on it. I tried a couple of times but still did not get close to even getting it. I don't understand it a
Tema [17]
$34 total spent
4 tickets x’s 6 = 24
34-24=10
Now, divide 10 by 4=2.50
Snacks bags cost $2.50
6 0
3 years ago
HELP!<br><br><br>what is the y-intercept of the function f(x)=5*(1/6)^x
vivado [14]

Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept?  Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

5 0
3 years ago
U - 26 = 29 Erm what is the answer to this question if you can't help that's ok.
SOVA2 [1]

Answer:

u= 55

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
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