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2 years ago

Algebra 1 TestNav answers

Mathematics

1 answer:

Rudik [331]2 years ago

6 0

Can you post the image of the question?
So there for i can help

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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 <u>zero-product property</u> 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 <u>second equation</u> 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

Read 2 more answers

A pizza company charges $8 for a large pizza and a $5 delivery charge. Write an equation that gives the

cupoosta [38]

8p +5 = $29
The above is the equation

If you want to know how many pizza were ordered then you subtract 5 from each side of the equal sign then you would have 8p=24 then divide by 8 on both sides of equal sign . p= 3 ; so 3 pizzas were order plus a charge of $5 for delivery.

3 0

2 years ago

Whats 100000000000000000000-1000000000000000000000000

Ghella [55]

Answer: -9.999e+23

I don't know what you're up to.

7 0

3 years ago

You walk into a room with a rabbit eating a carrot, a pig eating slop and a monkey eating a banana. Which is the smartest animal

Readme [11.4K]

Answer:

It's you

Step-by-step explanation:

Well... hopefully you are smarter than a rabbit, or a pig, or a monkey

3 0

3 years ago

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Assuming that there are no hidden cubes, what is the front orthographic view of the diagram?

Makovka662 [10]

Answer:

the visible number of cubes is 7

Step-by-step explanation:

Assuming that there are no hidden cubes, the # of visible cubes is 7

7 0

2 years ago