a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

Answer:12

Step-by-step explanation:33 + 15=48 48/4=12

Answer:

5+2x

Step-by-step explanation:

Answer:

5 + 2x

Step-by-step explanation:

Answer:

y=10x+4

Step-by-step explanation:

Answer:

y=10x+4

Step-by-step explanation:

Answer:

My answer will be 3.

Step-by-step explanation:

Answer:

I think it's d I'm not sure tho

Answer:

B

Step-by-step explanation:

I'm pritty sure it is B hopefully this helps.

Answer:

4 pairs cost $64

Step-by-step explanation:

16*4=64$

Answer:

The point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Step-by-step explanation:

Function of graph : f(x)

Rule : f(x)→f(x-c)

When the graph shifts to right by c units

Coordinates (x,y)→(x+c,y)

Rule : f(x)→f(x)+c

When the graph shifts up by c units

Coordinates (x,y)→(x,y+c)

So, Graph f(x-2)+7

Now given graph f(x)

Shift this right by 2 units and then shift up by 7 units

So, f(x)→ f(x-2)+7

Now , Translation of point(4,5)

Using rule :

When shift by 2 units right

(4,5) →(4+2,5)=(6,5)

Now  shift up by 7 units

(6,5) →(6,5+7)=(6,12)

So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Answer:

B

Step-by-step explanation:

The equation that represents this direct variation between a and b is:

b = -a. See explanation below.

Direction Variation is best defined as an equation in which one variable equals a constant times the other can be used to express a mathematical relationship between two variables.

Hence it is correct to state that The equation that represents this direct variation between a and b is: b = -a

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Answer:

o (16, 8, 12)

Step-by-step explanation:

1st number: 8*2 =16

2nd number:12-4=8

3rd number: given

Answer:

16,8,12

Step-by-step explanation:

its 16,8,12 because:

8x2=16

12-4=8

youre welcome

-3 > n is the same as n < -3 after you flip both sides and flip the inequality.

To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.

We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.

The graph is shown below.

Answer:

1.59

Step-by-step explanation:

Divide 2,787 by 1,750

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

Answer:

6 feet

Step-by-step explanation:

[tex]\frac{height of object}{length of shadow}[/tex]

Let the hight of the soldier be x

[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]

x = (24×2.25)/9 = 6ft

Answer:

h=2Ab

Step-by-step explanation:

if you divide b on both sides you get Ab=1/2h

Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab

Answer:

no yes no yes

Step-by-step explanation:

Im pretty sure thats correct

Answer:

no yes yes no

Step-by-step explanation:

hope this help;)

Answer:

205%

Step-by-step explanation:

Percent means out of 100, so we want to get the denominator as 100

41/20 * 5/5

205/100

The percent is 205

205%

Answer:

1/3

Step-by-step explanation:

4/12

2 goes in to 4 and 12, so 4 divide by 2 is 2 and 12 divide by 2 is 6 then you have to simplify it again since 2 can still go into 2 and 6 so 2 divide by 2 is 1 and 6 divide by 2 is 3.

Answer:

A) 1.3 represents the number of foodbank users in thousands in the year 2006

B) 0.81 per year

C) 124.79%

D) the doubling rate is less than a year.

Step-by-step explanation:

A) We are given N(t) = 1.3e^(0.81t) where t in thousands the number of years since 2006. N(t) is in thousands

Thus, in 2006,t = 0.

So, N(0) = 1.3e^(0.81 × 0)

N(0) = 1.3

Thus,1.3 represents the number of foodbank users in thousands in the year 2006

B) From the question, we see that the continuous growth rate is 0.81t.

This is 0.81 per year

C) The exponent of the growth rate is e^(0.81t).

Thus gives; 2.2479^(t)

This means the annual growth factor for each year is 2.2479.

Thus,annual percent growth rate is;

(2.2479 - 1) × 100% = 124.79%

D) From C above we saw that the annual percent growth rate is more than 100%. This means that it takes less than a year for the number of users to be doubled.. Thus, the doubling rate is less than a year.

Answer:

What is your fav artist music wise

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Did the test

Answer:

-2.56E5

3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5

Answer: -2.56 x 10⁵

:-D

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°

Answer:

rearrange the formula A=lw and make the width the subject of the formula

therefore to find width, the formula is w=A/l

Width = Area/Length

What is the Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.

Area of rectangle = Length x Breadth(or width)

A = L*W

Given,

Length = L = 5

Width = W

Let Area = A

according to the formula of rectangle,

A = L*W

If Area and length is given,

W = A/L

Width = Area/Length = Area/5

Therefore, the equation is Width = Area/Length

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Answer:

the question is supposed to be [tex]8 \sqrt 200 - 3\sqrt 162\\[/tex]

i think the answer is [tex]53\sqrt 2[/tex]

I'll update if its right or wrong

Step-by-step explanation:

The expression 8√200 − 3√162 in the simplified form will be 53√2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 8√200 − 3√162

Simplify the expression, then we have

⇒ 8√200 − 3√162

⇒ 80√2 − 27√2

⇒ 53√2

The expression 8√200 − 3√162 in the simplified form will be 53√2.

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Answer:

EG= 18

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

9 times 10 to the power of 4 is equal to 9 times 10,000

Step-by-step explanation:

3) is 4 times greater

4) 7 times greater

Answer:

hvuhbivjkfhigoveriudjkvejrsdvuweduv

Step-by-step explanation:

udsijnvcifudjkbnvueifvbbaeunidsv

;)

Answer:

90 degrees

step by step explanation:

LKM moves half way on the blender which is 90 degrees.

Answer: -12.4 + 9.2 = -3.2

4-2=2

9-12=3

Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.

Answer:

-3.2

Step-by-step explanation:

This is the longer explanation.

-12.4+9.2 let's start with the tenth values.

On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.

Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.

-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.