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2 years ago

I NEED HELP WITH THIS WORK SHEET

Mathematics

1 answer:

victus00 [196]2 years ago

5 0

1.)4
2.) 10
3.)6
4.)20
5.)5
6.)7
7.)7
8.)12
9.)8
10.)25
11.)3
12.)10

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X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

3 0

3 years ago

Factor the trinomial by grouping.<br> 9x^3 - 3x^2 -30x

katen-ka-za [31]

Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

$9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)$

Hope this helps!

4 0

3 years ago

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A gr

mestny [16]

Answer: the group rented 11 Person tubes and 4 cooler tubes

Step-by-step explanation:

There are two types of tubes, Person tube and cooler tube.

Let P represent number of Person tubes that the group rented.

Let C represent number of Cooler tubes that the group rented.

The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information

P + C = 15 - - - - - - - 1

20P + 12.5C = 270 - - - -- - - 2

Substituting P = 15 - C into equation 2,

It becomes

20(15-C) + 12.5C = 270

300 - 20C + 12.5C = 270

- 20C + 12.5C = 270 -300

7.5C = - 30

C = 30/7.5 = 4

P = 15 - C

P = 15 - 4 = 11

7 0

3 years ago

1<br> 11<br> f(x) = 2x² – 7x - 1<br> g(x) = 4x + 5<br> Find: go f(8)

Snezhnost [94]

Answer: 71

Step-by-step explanation:

F(8)= 2(8)^2-7(8)-1

=71

6 0

3 years ago

What is the slope of the line with points (-2,0) and (8,0)

Natali5045456 [20]

The answer is 10 because when you use the slope formula y^2 - y^1 divided by x^2 - x^1 and plug your points in you get 10/0 which makes the answer ten

5 0

3 years ago