A line passes through the point (8, -8) and has a slope of -5/2

Write an equation in slope-intercept form for this line.​

Hey there! :)

Answer:

f(x) = x³ -6x² -16x. (Simplified)

Step-by-step explanation:

Given:

Zeros: -2, 0, 8; degree: 3

To begin, write the polynomial in factored form involving the zeros:

f(x) = x(x + 2)(x - 8).

If you were to convert this to standard form, you would FOIL the factors:

f(x) = x(x + 2)(x - 8)

f(x) = x(x² -6x -16)

f(x) = x³ -6x² -16x. This is your equation in standard form.

Answer:

Domain is  

{

x

∈

R

;

x

≠

−

5

}

Range is  

{

y

∈

R

;

y

≠

0

}

Step-by-step explanation:

Explanation:

Domain: Denominator should not be  

0

∴

x

+

5

≠

0

or

x

≠

−

5

Domain is any real value except  

x

=

−

5

or  

{

x

∈

R

;

x

≠

−

5

}

Range is any real value except  

y

=

0

or  

{

y

∈

R

;

y

≠

0

}

graph{1/(x+5) [-10, 10, -5, 5]}

Answer:

[tex]x^2-2x+1[/tex]

Step-by-step explanation:

=> (x-1)(x-1)

Using FOIL

=> [tex]x^2-x-x+1[/tex]

=> [tex]x^2-2x+1[/tex]

Answer:

[tex]\boxed{x^2-2x+1}[/tex]

Step-by-step explanation:

[tex](x-1)(x-1)[/tex]

Apply FOIL Method.

[tex]x(x-1)-1(x-1)[/tex]

[tex]x^2-x-x+1[/tex]

Combine like terms.

[tex]x^2-2x+1[/tex]

Answer:

There are 50 large boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

 "There are 115 boxes in all"    means    x + y = 115      [eq1]

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

So,

  pounds for large boxes     +    pounds for small boxes      =    4125 pounds

                 "the truck is carrying a total of 4125 pounds in boxes"

        (50)*(x)                   +              (25)*(y)                  = 4125    [eq2]

It is important to find two equations so we can solve for two variables.

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:

   x = 115 - y          [from eq1]

    50(115-y) + 25y = 4125             [from eq2]

     5750 - 50y  + 25y = 4125           [distribute]

     5750 - 25y = 4125

      -25y = -1625

         y = 65             [divide both sides by (-25)]

 There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

  x = 115 - y

  x = 115 - 65

  x = 50

Answer:

$1850 per month

Step-by-step explanation

There are two types of chocolates that can be produced milk chocolate and strawberry covered chocolate. To find the profit we make following equation,

P = $2.25 SC + $2.50 WC

where SC is strawberry chocolate and WC is White milk chocolate.

The maximum production level can be 800 boxes per month and white chocolates can not exceed the 200 boxes per month so we assume making 600 boxes of Strawberry covered chocolates and 200 boxes of white chocolates.

Profit = 2.25 * 600 + 2.50 * 200

Profit = $1850

This is the maximum profit that can be earned after making combination of two types of chocolates.

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

[tex]SI = \frac{P \times T \times R}{100}[/tex]

First account:[tex]SI=\frac{x \times 1 \times 12}{100}[/tex]

Second account : [tex]SI =\frac{(6000-x) \times 1 \times 7}{100}[/tex]

We are given that At the end of the first year he had earned $590 in interest.

So, [tex]\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400[/tex]

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Answer:

12

Step-by-step explanation:

We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:

- "5 squared" = 5²

- "minus" = -

- "3 squared" = 3²

- "plus 4" = + 4

Put it altogether:

5² - (3² + 4)

5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:

25 - (9 + 4) = 25 - (13) = 12

The answer is thus 12.

~ an aesthetics lover

Answer:

12

Step-by-step explanation:

Math

Answer:

256.

Step-by-step explanation:

Each position can be one of 2 states so the number of possibilities

is 2^8  = 256.

Answer:

  a, b, d

Step-by-step explanation:

For the inequality x ≥ -3 . . .

a(0, -2) . . . 0 ≥ -3, true

b(-3, 4)  . . . -3 ≥ -3, true

c(-4, 2)  . . . -4 ≥ -3, FALSE

d(5, -5) . . . 5 ≥ -3, true

Points a, b, d satisfy the inequality.

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

Answer:

False

Step-by-step explanation:

Answer:

the answer will be D

Step-by-step explanation:

Answer:

False, there are actually infinite solutions as these are parallel lines.

Step-by-step explanation:

Answer:

22.5%

Step By Step Explanation:

1) the amount which will be obtained when 5 kg of rice is sold for Rs30 per kg=150 kg

2) the amount which will be obtained when 5 kg of rice is sold for Rs27 per kg=135 kg

3)difference of Both the no. = 150-135

                                              = 15 kg

4) ans as percentage =  15% of 150

                                   =  22.5%

    WARNING:- NOT SURE WITH THE ANSWER

Answer:

Symmetric with respect to the polar axis in agreement with the second answer listed.

Step-by-step explanation:

This is the shape of a cardioid  [tex]14\,(1+cos(\theta))[/tex]  it contains the function cosine of the angle so it must be symmetric with respect to the polar axis, since the cosine function is also symmetric for positive and negative values of the angle.

Answer:

3/10

Step-by-step explanation:

We have that the Armans last winter had 5/6 of a row of stacked logs and at the end of the winter he had 8/15 of the same row left, therefore:

Ambitious

First we have to do is that the denominator is the same.

in the case of 5/6 it would be 25/30

and for 8/15 it would be 16/30

Now if we can do the subtraction and it would be:

25/30 - 16/30 = 9/30 or what equals 3/10

3/10 was the amount of wood he burned in the winter

Answer:

D) 3/10 row

Step-by-step explanation:

Steps to solve:

9(d - 93) = -36d

~Distribute

9d - 837 = -36d

~Subtract 9d to both sides

-837 = -45d

~Divide -45 to both sides

18.6 = d

Best of Luck!

Answer:

Number of cards = 7

Number of cards not greater than 4 = 2

P( not greater than 4) = 2/7

Hope this helps

We are given 7 cards and we choose at random.

There are only 2 cards that are less then 4 so that means 2/7 is not greater than 4.

So P(2/7)

The answer is 2/7

Best of Luck!

Answer:

a. The volume of Pyramid A is double that of Pyramid B.

b. The new volume of B is equal to the volume of A.

Step-by-step explanation:

The base of pyramid A is a rectangle with length 10 meters and width 20 meters.

The base of pyramid B is a square of side length 10 meter.

Both pyramids have the same height, h.

The volume of a pyramid is given as:

V = lwh / 3

where l = length

w = width

h = height

The volume of Pyramid A is:

V = (10 * 20 * h) / 3 = 66.7h cubic metres

The volume of Pyramid B is:

V = (10 * 10 * h) / 3 = 33.3h cubic metres

By comparing their values, the volume of Pyramid A is double that of Pyramid B.

If the height of B increases to 2h, its new volume is:

V = (10 * 10 * 2h) / 3 = 66.7h cubic metres

The new volume of B is equal to the volume of A.

Answer:

[tex]\huge\boxed{x=\sqrt{66}}[/tex]

Step-by-step explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion:

[tex]\dfrac{AD}{AC}=\dfrac{AB}{AD}[/tex]

Substitute

[tex]AD=x;\ AC=6+5=11;\ AB=6[/tex]

[tex]\dfrac{x}{11}=\dfrac{6}{x}[/tex]          cross multiply

[tex](x)(x)=(11)(6)\\\\x^2=66\to x=\sqrt{66}[/tex]

Answer:

Step-by-step explanation:

Using the formula

p +/- (z* √[p(1-p) /n]

Where p is sample proportion = 120/400= 0.3 z*= 1.96 (z score for 95% confidence) and n is 400.

0.3 + (1.96 √[0.3(1-0.3) / 400])

0.3 + (1.96 √[(0.3*0.7)/400

0.3 + (1.96√ (0.21/400))

0.3 + (1.96 √0.000525)

0.3 + (1.96* 0.023)

0.3 + (0.045)

= 0.345 ~ 35%

For the lower interview

0.3 - (0.045)

= 0.255 ~ 26%

Thus, a 95% confidence interval for this study is between 26% and 35%

Step-by-step explanation:

if there is any confusion then again ask me always with you

Answer:

d = 125

Step-by-step explanation:

E2020

pls mark Brainliest

Answer:

The answer is 1/9

Step-by-step explanation:

3^-2 can be written as 1/3²

And

1/3² = 1/9

Hope this helps you

Answer:

B

Step-by-step explanation:

The answer is B because in order for the square root of a number to be equal to another number, the answer squared should be the number under the square root.

B. [tex](-4)^2\neq -16[/tex].

Hope this helps.

Answer:40320

Step-by-step explanation:

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320 and there are 8 questions total

Answer:

4

Step-by-step explanation:

1, 3, 4, 6, 2, 4, 5, 6, 2, 3, 1, 4, 0, 4, 4, 4, 8, 9, 7, 4

Arrange the numbers from smallest to largest

0,1, 1,2,2, 3,3, 4, 4,4,4,4,4 , 4, 5, 6, 6,   7, 8, 9,

There are 20 numbers

The middle number is between 10 and 11

0,1, 1,2,2, 3,3, 4, 4,4   ,4,4,4 , 4, 5, 6, 6,   7, 8, 9,

The median is 4

Solution,

Arranging the data in ascending order:

0,1,1,2,2,3,3,4,4,4,4,4,4,4,5,6,6,7,8,9

N(total number of items)= 20

Now,

Median:

[tex] (\frac{n + 1}{2)} ) ^{th \: item} \\ = (\frac{20 + 1}{2} ) ^{th \: item} \\ = \frac{21}{2} \\ = 10.5 \: th \: \: item[/tex]

Again,

Median:

[tex] \frac{10 \: th \: item + 11 \: th \: item}{2} \\ = \frac{4 + 4}{2} \\ = \frac{8}{2} \\ = 4[/tex]

Answer:

x=15

Step-by-step explanation:

165+x=180

180-165=15

Hope this helps!!

Answer:

[tex]\mathbf{=\dfrac{163.384}{15}}[/tex]

Step-by-step explanation:

[tex]\int \int \limits_{E} \int \ 8 xy dV = \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} \int\limits^{1+x+y}_{0} \ 8xy dz dydx[/tex]

[tex]= \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} [ 8xyz]^{z=1+x+y}_{z=0} \ \ dy dx[/tex]

[tex]= \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} 8xy (1+x+y) dy dx[/tex]

[tex]= \int\limits^{1}_{0} \int\limits^{\sqrt{x}}_{0} 8xy+8x^2y+8xy^2 \ \ dy dx[/tex]

[tex]= \int\limits^{1}_{0} \ [ 4xy^2+4x^2y^2+2.7xy^3]^{ y= \sqrt{x}}_{y-0} \ \ dx[/tex]

[tex]= \int\limits^{1}_{0} \ 4x (\sqrt{x})^2+4x^2(\sqrt{x})^2+2.7x(\sqrt{x})^3\ \ dx[/tex]

[tex]= \int\limits^{1}_{0} \ 4x^2+4x^3+2.7x^{5/2} \ dx[/tex]

[tex]\mathbf{=\dfrac{163.384}{15}}[/tex]

Answer:

The quotient in polynomial form= 2x + 6

Step-by-step explanation:

In order to calculate the quotient in polynomial form of the following synthetic division we would have to make the following:

According to the given data we have the following:

-1|2 8 6

Therefore, quotient in polynomial form would be calculated as follows:

                                  -1 | 2  8  6

                                          -2 -6

                                       2   6  0

Therefore, quotient in polynomial form= 2x + 6

The quotient in polynomial form= 2x + 6

Answer:

4m^11

Step-by-step explanation:

2m^4.2 you multiply powers in paranthesis

2m^8 result

2m^8.m^3

You add the exponents together because it is same base and put the 4 because 2 to the power of 2 is 4

4m^11

Answer: 4[tex]m^{11}[/tex]  

Step-by-step explanation:

(2m^4)^2 * m^3  

Expand

[tex]2^{2} * m^{8} *m^{3}[/tex]     add the exponents since they have the same base

[tex]4m^{11}[/tex]