Multiply the polynomial

(4x2-4)(2x+1)

PLEASE HELP!!! ASAP!!!

Answer:

52 students

Step-by-step explanation:

From the question above, we have the following information:

a) Vidya ranks 7th from the top.

Mathematically,

Vidya = 7th student

b) Divya 3 ranks behind Vidya.

Divya = Vidya + 3

Hence, Mathematically:

Divya = 7 + 3 = 10

Divya = 10th student

c) Also, Divya is 7 ranks ahead of Medha.

Mathematically,

Medha = 10 + 7= 17

Medha= 17th student

d)Sushma is 32 ranks behind Medha

Mathematically,

Sushma = Medha + 32

= 17 + 32 = 49

Sushma is the 49th student

Therefore, since, Sushma is 4th from the bottom, total number of students is:

49 + 3 = 52 students

Answer:

Step-by-step explanation:

g(x) = 2x³ - 3x + 5

To find g(- 2) substitute the value of - 2 into g(x)

That's

g(- 2) = 2(-2)³ - 3(-2) + 5

= 2(-8) - 3(2) + 5

= - 16 - 6 + 5

Hope this helps you

Answer:

1/216

Step-by-step explanation:

When a pair of dice is rolled, there are 36 possible different outcomes.

Of those 36 different outcomes, a sum of 3 is obtained in 2 different ways: 1, 2 and 2, 1.

Of those 36 different outcomes, a sum of 10 is possible in 3 different ways: 6, 4; 5, 5; 4, 6.

p(3 followed by 10) = p(3) * p(10) = 2/36 * 3/36 = 1/18 * 1/12 = 1/216

Answer:

This is NOT a one solution problem.

Step-by-step explanation:

Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.

5.7c-1.5+3.2c=7.8c-1.5+1.1c

5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5

8.9c - 8.9c = 0

0 = 0

No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.

Answer:

-0.743

Step-by-step explanation:

just plug it into a calculator

Answer:

it is also -sin(48)

Step-by-step explanation:

Answer: (upside down fancy u) q5

Step-by-step explanation:

Simply apply the law of conservative (upside down fancy u)

Answer:

y = 2/5x + 4/5

Step-by-step explanation:

We'll begin by calculating the slope of the equation: y = 2/5x – 1/2

The slope of the above equation can be obtained as follow:

y = mx + c

Where m is the slope.

c is the y-intercept.

y and x are the coordinate.

Comparing:

y = 2/5x – 1/2 with y = mx + c

The slope of y = 2/5x – 1/2 is 2/5.

Now, let us determine the equation parallel to y = 2/5x – 1/2.

This is illustrated below:

The coordinate of the line => (–7, 2)

x1 = –7

y1 = 2

Slope (m) = 2/5 => Since the lines are parallel, their slope are equal.

y – y1 = m (x – x1)

y – 2 = 2/5(x – –7)

y – 2 = 2/5(x + 7)

Clear bracket

y – 2 = 2/5x + 14/5

Rearrange

y = 2/5x + 14/5 + 2

y = 2/5x + 4/5

Therefore, the equation is:

y = 2/5x + 4/5

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

[tex]\boxed{\sf B. \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 7(x + 2) = 7x-10[/tex]

Expand brackets.

[tex]\sf 7x+14 = 7x-10[/tex]

Subtract 7x and 14 from both sides.

[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]

[tex]\sf 0=-24[/tex]

There are 0 solutions.

Work Shown:

area of base = 18*17 = 306 square yards

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(306)*(15)

V = 1530 cubic yards

Answer:1530

Step-by-step explanation: length*width*height* divided by 3

Answer:

function 2

Step-by-step explanation:

To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope

Answer:

Whats the formula for the area of a rectangle?

L x W.  48 x 36 =  1728 sq inches.

Then divide by (12 x12 ) = 144 to find square feet

Step-by-step explanation:

Answer: x = 27/2

Step-by-step explanation:

2/3x-2=7

2/3x=9

2/3x=27/3

2/3x(3/2)=27/3(3/2)

x=81/6

x=27/2

Answer: x = 27/2

Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.

On the left, -2 and +2 cancel out and were left

with 2/3x and on the right, 7 + 2 simplifies 9.

So we have 2/3x = 9.

In order to get x by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of a fraction is just that fraction

flipped so the reciprocal of 2/3 is 3/2.

So we have (3/2)(2/3x) = 9(3/2).

On the left, the 2's cancel and the 3's cancel.

On the right, 9(3/2) is 27/2.

So x = 27/2

Answer:

See explanation

Step-by-step explanation:

if multiply the 3 factors together you get

(x² - x - 2)(x - 3) - trinomial x binomial

x³ - 3x²- x² + 3x - 2x + 6 - polynomial

x³ - 4x² + x + 6, this is the polynomial with those factors.

Poly means many so it could be a bigger polynomial with more factors but if it is limited to only these factors than there is just the one polynomial.

The polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3)

A polynomial is the defined as mathematical expression that have a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that ,

P(x) has three factors (x-2), (x+1), and (x-3).

Multiplying the 3 factors together, we get

⇒ (x-2)(x+1)(x-3)

⇒ [x(x-3) - 2(x+1)](x-3)

⇒ (x² - x - 2)(x - 3)

⇒ x³ - 3x²- x² + 3x - 2x + 6

Rearrange the terms likewise and apply arithmetic operations

⇒ x³ - 4x² + x + 6

Hence, the polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3).

Learn more about polynomial here:

https://brainly.com/question/11536910

#SPJ2

Answer: Rs 1820

Step-by-step explanation:

This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750.  Thus, simply do 1.04*1750 to get 1820.

Hope it helps <3

Answer:

C

Step-by-step explanation:

Line of symmetry

Answer: 4cm

Step-by-step explanation:

Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.

Before being turned over the milk volume is:

5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).

Therefore the volume of the milk once turned over is 480

When on it's side, the volume of the milk equals

8 * 15 (the base) * depth

120 * depth

120 * depth = 480

so the depth = 4cm

Answer:

x=60°

Step-by-step explanation:

Let's say the point where angle x is, be K

Because ABCD and PQRS are paralelograms,

∡PSR = ∡PQR =130°

and

∡DAB=∡DCB=70°

and by angles between parallels

∡SPQ + ∡PQR = 180°

∡SPQ + 130° = 180°

∡SPQ = 50°

by angles opposite by vertex

∡PKC = ∡BKQ = x

So in triangle PKC the sum of all angles must add up to 180°

so

∡SPQ + ∡PKC + ∡DCB = 180

50 + x + 70 = 180

x = 60

Answer:

hello:

Step-by-step explanation:

If f(x) = -8x - 6 and g(x) = x+8 ,  (f • g) (- 7)= f(g(-7))

but g(-7)=-7+8=1

(f • g) (- 7)= f(1) =-8(1)-6 =-14

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

Answer:

Max would be 4y meters ahead by 4pm

Step-by-step explanation:

What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.

Mathematically, distance = speed * time

The time is just the difference between 12 noon and 4pm which is 4 hours

Let’s tackle Max’s

He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters

Now let’s tackle Sven

Sven is biking at a speed which is y mph less than Max’s x mph

Thus his speed would be (x-y) mph

His distance covered would be 4(x-y) meters

Now the difference between their bikes distance at 4pm would be;

4x - [4(x-y)]

= 4x -(4x -4y)

4x -4x + 4y

= 4y

Hence, Max would be 4y meters ahead by 4pm

Answer:

[tex]4x^2 - 8x + 20[/tex]

Step-by-step explanation:

The correct equation is:

[tex]8x^3 + 4x^2 + 100[/tex]

We want to divide that by (2x + 5)

To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.

When you get to 0, you have reached the end of the division.

Whatever term you get from each step of division is part of the quotient.

Go over the steps above carefully while following them below:

Step 1:

Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].

Step 2

Multiply [tex]4x^2[/tex] by (2x + 5)  and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:

[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]

Step 3

Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].

Step 4

Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:

[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100

Step 5

Divide 40x by 2x. You get 20.

Step 6

Multiply 20 by (2x + 5) and subtract from 40x + 100:

40x + 100 - (40x + 100) = 0

From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.

Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]

Answer:

Step-by-step explanation:

3x + 45 = 4x + 21

45 - 21 = 4x - 3x

24 = x

Answer:

Step-by-step explanation:

[tex]3x + 45 = 4x + 21 \\ collect \: like \: terms \\ 3x - 4x = 21 - 45 \\ - x = - 24[/tex]

[tex]x = 24[/tex]

Answer:

Alternate Exterior Angles theorem

Answer:

alternate exterior angles

Step-by-step explanation:

alternate exterior angles are when two angles are on the far side of two lines and are not on the same side of the line cutting through the two parallel lines

Hope this is not redundunt or anything because I thought maybe I should just explain it so you would understand it next time :)

Answer:

Using point-slope form we get:

y - 6 = 1/3(x + 6)

y - 6 = 1/3x + 2

y = 1/3x + 8

Answer:

A

Step-by-step explanation:

Answer:

B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]

Step-by-step explanation:

Well lets graph the following equation first,

H(x) = -.011(x - 82)^2 + 75

Then lets graph all the other equations.

Look at the image below↓

So A.

The purple line does not go farther or higher,

so A. is incorrect

B.

The black line goes higher and farther,

meaning it is correct.

C.

The red line goes farther but not higher.

So it is incorrect

D.

Again the blue line does not go farther of higher.

So its wrong.

Thus,

answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.

Hope this helps :)

Answer:

The answer is A- 3.25x + 13.50 < 40

Answer:

13.50X+3.25 < 40

Answer:

5^x - 5^-x

Step-by-step explanation:

g(x) = 5^-x

h(x) = 5^x

We want h(x) - g(x)

h(x) - g(x) = 5^x - 5^-x

This cannot be simplified

Answer:

6 seconds

Step-by-step explanation:

We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.

0 = 96t - 16t²

0 = 16t(6 - t)  -- Factor 96t - 16t²

16t = 0 or 6 - t = 0  -- Use Zero Product Property

t = 0 or t = 6 -- Solve for t

We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.

Answer: 6 seconds

Step-by-step explanation: factor

Answer:

x=-3

Step-by-step explanation:

2 x - 3 y = -12.

4 x + y =  -10.

The Answer is:

X= -3