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4 years ago

Aline's y-intercept is -6 and its slope is 0.What is its equation in slope-intercept form?

Mathematics

1 answer:

notka56 [123]4 years ago

6 0

Answer:

y=0x+-6

Step-by-step explanation:

y=mx+b

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the zero-product property and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the second equation and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

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Ian earns £420 a week after a 5% rise. What was his pay before?

belka [17]

It turns out that 5% of 400 is 20.

(1/20)*400=20.

So Ian was being paid £400 a week before he was given a pay rise.

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3 years ago

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the pet shop owner told Jean to fill her new fish tank 3/4 full with water jean filled it 9/12 full.what fraction of the tank do

Bogdan [553]

The answer is no more water.

3/4=9/12

3/4
From 3 to 9 it is X3 and from 4 to 12 it is X3.So you take 3*3 which is nine and 4*3 which is 12 and now you have this

9/12=9/12

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3 years ago

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What is 6574893 + 7?????

Effectus [21]

Answer:

6574900

Step-by-step explanation:

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3 years ago

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(simplify the expression) 2x7b