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2 years ago

Match the polynomial on the left with the appriately factored expression on the right x^2-3x-18

Mathematics

1 answer:

Lapatulllka [165]2 years ago

8 0

The factored expression of the polynomial expression given as: x^2 - 3x - 18 is (x + 3)(x - 6)

<h3>How to match the polynomial?</h3>

The polynomial expression is given as:

x^2 - 3x - 18

Express -3x as 3x - 6x

So, we have:

x^2 + 3x - 6x - 18

Factorize the polynomial expression

x(x + 3) - 6(x + 3)

Factor out x + 3

(x + 3)(x - 6)

Hence, the factored expression of the polynomial expression given as: x^2 - 3x - 18 is (x + 3)(x - 6)

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Which expression is equivalent to (x – 1)7?

aleksley [76]

Hello!

The answer is B

Hope this helps!

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3 years ago

Please help with algebra problem

kumpel [21]

Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400

Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243

6 0

3 years ago

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

user100 [1]

Answer:

$h(x)=12x-9$

Step-by-step explanation:

We are given the two functions:

$f(x)=4x-2\text{ and } g(x)=-8x+7$

And we want to find:

$h(x)=f(x)-g(x)$

So, by substitution:

$h(x)=(4x-2)-(-8x+7)$

Simplify. Distribute:

$h(x)=(4x-2)+(8x-7)$

Rearrange:

$h(x)=(4x+8x)+(-2-7)$

Combine like terms. Hence:

$h(x)=12x-9$

3 0

3 years ago

Choose whether the value is a discrete random variable, continuous random variable, or not a random variable. the number of poin

AveGali [126]

It's hard to have √2 points in a basketball game (or almost any game). The number of points scored is a discrete random variable, usually restricted to non-negative integers.

8 0

3 years ago

Two isosceles triangles are shown above. If b = 180-4a and a=35, What is the value of c?

Ymorist [56]

Answer:

a=35 given

b=40

c=110

I couldn't complete see c. Please look at the picture to see what I assumed it to be.

Step-by-step explanation:

Hmmm... I guess a and b are not vertical.

We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.

So b=40.

Isosceles triangles always have congruent base angles. So let's call both of the base angles in the bottom triangle x.

That means x+x+40=180.

We need to solve this for x.

Combine like terms:

2x+40=180

Subtract 40 on both sides:

2x=140

Divide both sides by 2:

x=140/2

Simplify:

x=70

So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.

70+c=180

Subtract 70 on both sides:

c=180-70

Simplify:

c=110

4 0

3 years ago