Find the equation of the linear function represented by the table below

Graph the functions on the same coordinate plane.

beks73 [17]

Answer:

select -3 and 2

Step-by-step explanation:

f(x)=g(x) means set them equal and solve for x

x^2+2x-8=-x^2+4

Add x^2 on both sides and subtract 4 on both sides.

2x^2+2x-12=0

Divide both sides by 2

x^2+x-6=0

Think of two numbers that multiply to be -6 and add up to be 1

that is 3 and -2

so The factored form is (x+3)(x-2)=0

So x=-3 or x=2

7 0

4 years ago

What is the product of (x+3) (3x -2)?

velikii [3]

Answer:

3x²+7x-6

Step-by-step explanation:

Original Equation;

(x+3)(3x-2)

Multiply the first term by the second term.

x(3x-2)+3(3x-2)

Multiply x by 3x and x by -2

3x²-2x+3(3x-2)

And then multiply 3 by 3x and 3 by -2

3x²-2x+9x-6

Group like terms

3x²-2x+9x-6

Simplify

3x²+7x-6

(x+3)(3x-2)

x(3x-2)+3(3x-2)

3x²-2x+9x-6

3x²+7x-6

8 0

3 years ago

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How do you write 1.3 × 105 in standard form?

emmainna [20.7K]

Given:

The scientific notation of a number is $1.3\times 10^5$ .

To find:

The standard form of the given number.

Solution:

Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.

We have,

$1.3\times 10^5$

It can be written as

$1.3\times 10^5=1.3\times 100,000$

$1.3\times 10^5=130,000$

Therefore, the standard form of the given number is 130,000.

7 0

3 years ago

The amount of snow fall falling in a certain mountain range is normally distributed with a mean of 74 inches, and a standard dev

Nutka1998 [239]

Given that the sample mean is μ=74 and sample standard deviation σₓ= $\frac{σ}{ \sqrt{n}} =\frac{12}{\sqrt{36}} =2$ .

Thge Z- score is $Z=\frac{76.8-74}{2} =1.4$ .

Now we use the Z-score to calculate the required probability.

Refer to standard normal distribution table.

The required probability is

$P(X>76.8) =P(Z>1.4)=1-P(Z$

4 0

3 years ago

X=88 ?89 ? Or 90? What is x= ?

Valentin [98]

I believe that it may be 90 I could be wrong though

5 0

4 years ago

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