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cluponka [151]
3 years ago
8

What are the slope and y-intercept for the graph of y – 3x = -1?

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

Slope (m) = 3, y-intercept (b) = -1

Step-by-step explanation:

First, we need to write the equation in y = mx + b.

To do this, add 3x to both sides.

y = 3x - 1 is your result.

Now, we have everything we need to do determine our slope and y-intercept in just this equation alone.

Remember, m = slope and b = y-intercept.

In this equation:

m = 3

b = -1

So your slope is 3, and your y-intercept is -1

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Which describes the first step in solving the equation 4x - 7 = -15?
GalinKa [24]

Answer:

Add 7 to both sides

Step-by-step explanation:

You would need to add 7 to both sides to cancel out the 7 on the right side of the equation to get x one step closer to being by itself.

Then you would get 4x = -8.

Next divide by 4 on both sides to get x by itself so do the inverse operation of what 4 was doing to x.

x = -2

7 0
3 years ago
on two investments totalling 9000 Lydia lost 4% and earned 5%. if her net receipts were 351$ how much was each investment
mario62 [17]
She invested.. .say "a" amount on the 4% and "b" amount on the 5% one

now, she lost the 4% one or "a", so... that'd be a negative amount

now, we know both investments added together add up to 9000

and we also know the "net" receipts for the yield was 351, that simply means that whatever "b" and "a" yielded, ended up as 351

so.. what's 4% of a? well (4/100) * a or 0.04a
what's 5% of b? well (5/100) * b or 0.05b

since "a" was a loss(negative), then we know the net yield is =>  b - a = 351

thus     \bf \begin{cases}
b+a=9000\implies \boxed{a}=9000-b\\\\
0.05b - 0.04a = 351\\
----------\\
0.05b - 0.04\left(\boxed{ 9000-b }\right) = 351
\end{cases}

solve for "b", to see how much was invested at 5%

what about a?  well, a = 9000 - b
5 0
3 years ago
A parabola has its vertex at (2, 1) and crosses the x-axis at (1,0) anu al l
Y_Kistochka [10]

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1), thus

y = a(x - 2)² + 1

To find a substitute (1, 0) into the equation

0 = a(1 - 2)² + 1

0 = a + 1 ( subtract 1 from both sides )

a = - 1

Hence

y = - (x - 2)² + 1 or

y = 1 - (x - 2)² → A

7 0
3 years ago
The measure of one angle of a triangle is 55 degrees. The measure of the third angle is 20 degrees more than twice the second an
sesenic [268]
If 1 angle is 55 and another is 55 add 20 (75) if you added them together it would be 130 so do 180 - 130 hope this helped!!
7 0
3 years ago
When this car moves forward by 180 cm, each wheel does one full turn.
Andre45 [30]
D is the diameter of the wheel
the circle is π.d = 180
so d = 180/π = 57 cm
3 0
4 years ago
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