Simplify the following completely and show your work: -5x2(2x2 - 4x - 12)

The solution is Option A.

The equation of line is y = 7x - 21 and the initial y value of the function is given by y = -21

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 0 )

Let the second point be Q = Q ( 8 , 35 )

Now , the slope of the line between the points is given by the formula

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 35 - 0 ) / ( 8 - 3 )

Slope m = 35/5

Slope m = 7

Now , the equation of line is given by the formula ,

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 7 ( x - 3 )

y = 7x - 21

Now , the initial value of y is calculated when x = 0

So , substituting the value of x = 0 in the equation , we get

y = 7 ( 0 ) - 21

y = -21

Therefore , the initial value of y = -21

Hence , the equation of line is y = 7x - 21

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

55°

Step-by-Step Explanation:

Supplementary Angles means it adds up to 180°.

You can find the measure of the missing angle by doing 180°-125°=55°.

Answer:

8

Step-by-step explanation:

The 'mean' is the same as the 'average'

( 7 + x + 5 + 3 + 2) / 5    =  5

 7+x+5+3+2 = 25

     x = 8

Using z-scores, it is found that he must score 550 on Exam B order to do equivalently well as he did on Exam A.

The z-score of a measure X of a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.

For Exam A, we have that the parameters are [tex]X = 610, \mu = 650, \sigma = 40[/tex], hence his grade had a z-score given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{610 - 650}{40}[/tex]

[tex]Z = -1[/tex]

In Exam B, with [tex]\mu = 600, \sigma = 50[/tex], we want the grade X with the same z-score of Z = -1, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1 = \frac{X - 600}{50}[/tex]

X - 600 = -50

X = 550.

He must score 550 on Exam B order to do equivalently well as he did on Exam A.

More can be learned about z-scores at https://brainly.com/question/24663213

Answer:

  (d)  opens the same; wider

Step-by-step explanation:

Multiplying a function by a constant has the effect of vertically scaling the graph of the function by a factor equal to that constant.

__

Here, you're multiplying by 2/3, so each y-value is 2/3 of its previous distance from the x-axis. The effect on the graph of a parabola is to make it "flatter", hence wider in appearance. This does not change the direction in which it opens.

The attachment shows an example.

Answer:

$114.70

Step-by-step explanation:

96.50 for 9 hours

18.20 for hotdogs

Step-by-step explanation:

zeroes = x intercept.

to find the x intercept we let y or in this case p(x) = 0

Hence,

-9x^2 + 1 = 0

-9x^2 = -1

x^2 = 1/9

x = 1/3

x = -1/3

Answer:

Your answer would be 96vw^7/x

Step-by-step explanation:

0.96w^7v/x

I'm pretty sure this is the right anwser I hope this helps.

Answer:

[tex]21[/tex]

Step-by-step explanation:

The angle of the triangular plot at which the surveyor stands is 83°

A triangle is a shape with three sides and three angles. From the information given, the sides of the three angles are different, we can say the triangle is a scalene triangle since no sides are equal.

To determine the angle of the triangular plot at which the surveyor stands, we need to use the cosine formula.

Given that:

Let's assume that the angle at which the surveyor stands is ∠A, then:

[tex]\mathbf{a^2= b^2+c^2-2 bc \times Cos A}[/tex]

Making cos A the subject, we have:

[tex]\mathbf{cos \ A = \dfrac{ b^2+c^2-a^2}{2bc}}[/tex]

[tex]\mathbf{cos \ A = \dfrac{ 250^2+200^2-300^2}{2(250 \times 200)}}[/tex]

[tex]\mathbf{cos \ A = 0.125}[/tex]

A = cos⁻¹ (0.125) ≅ 83°

Learn more about calculating the angles of a triangle here:

https://brainly.com/question/8444090

Answer:

cos–1(0.125) = 83°

Step-by-step explanation:

The equation is 6(2x-1), where X is more than 0. When a shipping company charges $6 to ship a package that weighs up to 1 pound.

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.

the shipping company charges $6 for the first pound.

Up to now, the charge is y=6

After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.

So, the total charge will be, y=6+2(x-1)

weight is always starting from zero as there is no negative weight.so X>0

so the equation is 6(2x-1), where X is more than 0

To know more about Equations follow

https://brainly.com/question/14323743

Answer:

Median = 45

Step-by-step explanation:

It's the 5 number summary.

[tex]min = 23[/tex]

[tex]q1 = 32[/tex]

[tex]median = 45[/tex]

[tex]q3 = 66[/tex]

[tex]max = 77[/tex]

x=-9

Hope it helps.

Do comment if you have any query.

Answer:

The answer is -9

Step-by-step explanation:

I hope this helps!

18/-9=-2

Answer:

40 phones 

Step-by-step explanation:

The company expects that every 2 out of 25 phones will have some form of defect. 

In percentage terms, this is:= 2 / 25 * 100%= 8%If there are 500 phones therefore,

the defected phones would still be the same percentage and the actual number would be:= 8 % * 500= 40 phones

The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.

Points and their residual values are shown in the table. A 3-column table with 5 rows.

The simple regression line can be represented as,

[tex]\hat y=\alpha +\beta X+\hat e[/tex]

Here α is the constant, β is the slope and e is the residue.

The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.

Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.

Learn more about the residual value here;

https://brainly.com/question/1168961

Answer:

0.7

Step-by-step explanation:

edge

Answer: A

Step-by-step explanation:

Answer:

28k+68 hope this helps!

Step-by-step explanation:

Answer:

68 + 28k

that is to simplify it to solve it is 4*(7k+17)

Answer:

47.12 cm

Step-by-step explanation:

C=2πr

2·π·7.5≈47.12389cm

Round: 47.12

Answer: 47.1

Step-by-step explanation:

The formula is 2*[tex]\pi[/tex]*7.5.

so it would be 2*3.14*7.5 witch equals to 47.1

Answer:

Step-by-step explanation:

Here we are given Length of the rectangle 17 and Width 12.75. To find length of the diagonal of the rectangle we will substitute the value of length and width in required formula:

We know that,

[tex] \\ \: \: \dashrightarrow \: \: { \underline{ \boxed{ \pink{ \pmb{\mathfrak {Diagonal = \sqrt {(Length)^2 + (Width)^2 }}}}}}} \\ \\ [/tex]

Substituting the required values:

[tex] \\ \: \: \dashrightarrow\sf \: \: Diagonal = {\sqrt{(17)^2 + (12.75)^2}} \\ \\ [/tex]

[tex]\: \: \dashrightarrow\sf \: \: Diagonal = \sqrt{289 + 162.5625} \\ \\ [/tex]

[tex]\: \: \dashrightarrow\sf \: \: Diagonal = \sqrt{451.5625} \\ \\ [/tex]

[tex]\: \: \dashrightarrow \: \: \pink {\underline{ \boxed{ \pmb{\frak {Diagonal = 21.25}}}}} \\ \\ [/tex]

Hence,

Step-by-step explanation:

Given :-

To find :-

⇝ Diagonal of rectangle

Solution :-

Formula for finding length of rectangle =

[tex] \sqrt{(length) {}^{2} + (width) {}^{2} } [/tex]

putting the known values ,

[tex] \sqrt{(17) {}^{2} + (12.75) {}^{2} } [/tex]

[tex] \sqrt{289 + 162.5625} [/tex]

[tex] \sqrt{451.5625} [/tex]

[tex]21.25 \: unit[/tex]

Answer:

26.67 cm

Step-by-step explanation:

Area of a sector

Finding Perimeter (Arc Length)

Using the Fundamental Counting Theorem, it is found that you have 16 choices in building your bike.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Thus, the total number of choices is given by:

N = 4 x 2 x 2 = 16.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

Answer:

y = (1/4)x + 20

Step-by-step explanation:

The general equation of a line is

y = mx+ b , where m is the slope of the line and b is the y-intercept of the line ( where the line intersects the vertical y-axis)

From the graph we can see that the line intersects the y-axis at 20, so our y- intercept is b = 20

Now will find the slope of the line, and for that we need any two points from the line.

For example let's pick points ( x1= 0, y1 = 20) and ( x2 = 4, y2 = 21)

the slope m = (y2-y1)/(x2-x1) = (21-20)/ (4-0) = 1/4

slope of the line is m = 1/4

The equation of the graph shown in the graph is

y = (1/4)x + 20

Answer:

(0, 75)

Step-by-step explanation:

The y-intercept is the y-coordinate of a function when x is equal to 0. In other words, it is the point at which the function crosses the y-axis.

For the equation y = 8x + 75, you plug in x = 0 to get:

y = 8(0) + 75 = 75, meaning that y = 75 when x = 0.

This gives you the y-intercept (0, 75).

Answer:

h = -1.356

Step-by-step explanation:

Remark

This is one of those questions where you could solve for h in the formula and then just put values in for all the other variables. Since you have posted this on Brainly, I'll just use the formula given and my last step will be one of division

Formula

S = 2 * pi * r^2  + 2 * pi * r * h   Put the givens into the formula

Givens

S = 175 in^2

pi = 3.14

r = 6

h = ?

Solution

175 = 2 * 3.14 * 6^2 + 2 * 3.14 * 6 * h         Combine

175 = 226.08 + 37.68*h                             Subtract  226.08 from both sides

175-226.08 = 37.68*h                                Combine

-51.08 = 37,68*h                                         Divide by 37.68

h = - 51.08/37.68

h = -1.356

Comment

This is impossible. No value of measurement can be negative. But it is what you get when using the numbers given

Answer:

Because there are 3  purple and only one orange...

Answer:

10

Step-by-step explanation:

This is a right triangle. To find the hypotenuse in this right triangle, we can use the pythagorean theorem.

The Pythagorean Theorem states a^2+b^2=c^2.

In this case, we would plug this in and get 6^2+8^2=x^2

Solve, and get 100=x^2, x=10