Show all work to factor x^4 − 17x^2 + 16 completely.

Please explain how you got your answer and show the steps. I completely forgot how to do it over winter break.

Answer:

A

Step-by-step explanation:

Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values

[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )

20(15 + x) = 420 ( divide both sides by 20 )

15 + x = 21 ( subtract 15 from both sides )

x = 6

Answer:

whats up , whats the question ?

Step-by-step explanation:

Answer:

100%     -     300

------------------------

10%      -      x

[tex]100x=300*10\\100x=3000\\x=\frac{3000}{100}\\x=30[/tex]

Answer:

may I try it can be

Step-by-step explanation:

10% of 300

10÷100x300

0.1×300

30

Answer:

the slope is 3

Step-by-step explanation:

slope formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m\frac{5-(-1)}{0-(-2)}[/tex] = 3

Answer:

down below

Step-by-step explanation:

set up two equations:

x + 4 = 6                    x + 4 = -6

solve both:

x = 2                          x = -10

plug it back in to the original equation:

|2 + 4| = 6.                 |-10 + 4| = -6

|6| = 6.                       |-6| = -6

6 = 6.                         since absolute value is always positive:

correct.                     |6| = -6

                                6 does not = -6

write both of these down if you need to show your work

Answer:

170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

Answer:

7

Step-by-step explanation:

Answer:

Exact form: 3√5/5

Decimal form: 1.34164078...

Step-by-step explanation:

Answer:

6.708020

Step-by-step explanation:

Answer:

16 pi units or about 50.265 units

Step-by-step explanation:

formula for area of circle is πr^2

Using the image, the radius (half the diameter) is 4 units

put this in equation

pi times 4^2

pi times 16

16pi

Answer:

33

Step-by-step explanation:

-5(-4)= 20

20+13=33

Answer:

True

hope it helps!

Step-by-step explanation:

Answer:

9c + 45

Step-by-step explanation:

The distributive property also known as distributive law of multiplication and division.

In the given expression, distributive law of multiplication is applied where we can multiply first before addition.

Given

9(c+5)

Using distributive property

9(c+5)

= (9 × c) + (9 × 5)

= 9c + 45

9(c+5) = 9c + 45

Answer:

yes

Step-by-step explanation:

-32/8 = -4

-4 is an integer

Answer:

the actual answer is 12.7777777778 but you can break it down to about 12.8

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

So, we will take one of the numbers = x

And the other is 12 more than 3 times it, so = 3x + 12

So they said if we add them, we will get 4

So x + (3x + 12) = 4

4x + 12 = 4

4x = 4 - 12

4x = - 8

x = - 8 ÷4

x = - 2

So one of the numbers x = - 2

The other is 3x + 12

So x = - 2

3x +12 = 3(-2) + 12

= 6

So the 2 numbers = 6 and - 2

Lets check!

6 + (-2) = 4

So it's right!

Answer:

11 or more

Step-by-step explanation:

55-40=15

160/15=10.666

11 or more

Answer:

90

Step-by-step explanation:

interior angles of all triangles add up to 180 degrees

180=x+5+x-5+2x

180=4x

45=x

plug back in to find largest angle

2 (45) = 90

Answer:

[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]

Step-by-step explanation:

[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]

Given:

The function is

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

To find:

The correct ordered pairs.

Solution:

We have,

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

For x=3,

[tex]g(3)=(\dfrac{1}{5})^3[/tex]

[tex]g(3)=\dfrac{1}{125}[/tex]

So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].

For x=-2,

[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]

[tex]g(-2)=(5)^2[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-2)=25[/tex]

So, the ordered pair is [tex](-2,25)[/tex].

For x=1,

[tex]g(1)=(\dfrac{1}{5})^1[/tex]

[tex]g(1)=\dfrac{1}{5}[/tex]

So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].

For x=-1,

[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]

[tex]g(-1)=(5)^1[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-1)=5[/tex]

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

Answer:

1. x = 9°

angleA=36°

angleB=54°

2. x = 28°

angleA=28°

angleB=62°

Step-by-step explanation:

1. 6x + 4x = 90° (By ASP)

2. 2x + 6 + x = 90° (By ASP)

Answer:

7.5/3= 2.5

i checked by doing

3*2.5 and it was equal to 7.5

the scale factor is 2.5

Answer:

2.5

Step-by-step explanation:

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5)

Multiply each side by 5/8

5/8 *9=  5/8 *8/5(x+5)

45/8 = x+5

Subtract 5 from each side

45/8 - 5 = x+5-5

45/8 -5 = x

Get a common denominator

45/8 - 5*8/8 =x

45/8 - 40/8 =x

5/8 =x

Answer: 49.45

Step-by-step explanation:

From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.

Let the number be represented by x.

Since she doubles it, thus implies that:

2x = 98.9

x = 98.9 / 2

x = 49.45

The number is 49.45

Answer:

28:24

Step-by-step explanation:

Blue to red is 28:24 or 7:6.

Answer:

it’s either no slope or 0, I dont exactly know which one you would put in to be correct

Step-by-step explanation:

Answer:

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation: