-3x/2+4=16
What is x?

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

Answer:

It goes 8.506, 8.56, 8.5612, 8.6

Happy to Help

Answer:

Simplifying

8sin(8x) + 9 = 3

Remove parenthesis around (8x)

8ins * 8x + 9 = 3

Reorder the terms for easier multiplication:

8 * 8ins * x + 9 = 3

Multiply 8 * 8

64ins * x + 9 = 3

Multiply ins * x

64insx + 9 = 3

Reorder the terms:

9 + 64insx = 3

Solving

9 + 64insx = 3

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 64insx = 3 + -9

Combine like terms: 9 + -9 = 0

0 + 64insx = 3 + -9

64insx = 3 + -9

Combine like terms: 3 + -9 = -6

64insx = -6

Divide each side by '64nsx'.

i = -0.09375n-1s-1x-1

Simplifying

i = -0.09375n-1s-1x-1

Step-by-step explanation:

If this helps please give brainliest:)

Answer:

The volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

Step-by-step explanation:

Let r be the radius of each sphere

We are given that distance between their centers is [tex]\frac{r}{2}[/tex]

Let [tex](\frac{-r}{4},0)[/tex] be the center of sphere 1 and [tex](\frac{r}{4},0)[/tex]be the center of sphere 2 .

Using the disk points

a=0 and b =[tex]\frac{3r}{4}[/tex]

[tex](x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}[/tex]

Hence the volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.

The solution is:

V = (11/12)×π×r³

Let´s call circumferences  1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) ×r×(r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

Related Link : https://brainly.com/question/14301190

Answer:

6

Step-by-step explanation:

18/3=6

Answer:

8,403,339

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.

Hope this helped! Good luck!

Answer:

ur welcome

Step-by-step explanation:

x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done

Answer:

Step-by-step explanation:

Find values of a and b that make both equalities true:

a/b = 2/5 and 22/a = 11/6 .

given that 22/a=11/16

cross multiply

11a=22x16

11a=352

a=352/11

a=32

put a=32 in  a/b = 2/5 to find b we have

32/b=2/5

cross multiply we have

2b=32x5

2b=160

divide both sides by 2 we have

b=160/2

b=80

Answer:

Step-by-step explanation:

First, we will start by solving: 22/a = 11/6

Solving for a

We can first cross multiply and we get this: 22 x 6 = 11a, Simplified it would be 132 = 11a. Now we know that a = 12.

Solving for b

Now knowing a = 12 we can get this. 12/b = 2/5 same thing, cross multiply. That would be: 12 x 5 = b x 2, Simplified: 60 = 2b so b = 30

Answer:

d = 25/14

Step-by-step explanation:

5(2d+2) = 3 (8d-5)    

10d + 10 = 24d - 15   | +15

10d + 25 = 24d        | - 10d

25 = 14 d                  | :14

d = 25/14

Answer:

76.2

Step-by-step explanation:

Use a calculator or chart to find the z-score associated with the probability.

P(Z > z) = 0.02

P(Z < z) = 0.98

z = 2.054

Find the height.

z = (x − μ) / σ

2.054 = (x − 70) / 3

x = 76.2

Answer:

3.404

Step-by-step explanation:

Answer:

306

Step-by-step explanation:

The number of rows times the number of seats in each row is equal to the stadium chair. Using this, 9 rows of seats with 18 seats in each row is 9(18)  and 6 rows with 24 seats in each row is 6(24). Now we add 9(18) + 6(24), which is 162 + 144 which is 306 seats

Answer:

27/7 or 3 6/7

Step-by-step explanation:

18/7 ÷ 6/9

~Copy dot flip

18/7 × 9/6

~Multiply both numerators and denominators

162/42

~Simplify

27/7 or 3 6/7

Best of Luck!

9514 1404 393

Answer:

  2

Step-by-step explanation:

The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.

A scale factor of 2 could be used to get the final rectangle.

Answer:

Step-by-step explanation:

y=−3/5x+13/5

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4

Answer:

y^6

Step-by-step explanation:

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Step 1:

( y³ )²       Equation

Step 2:

[tex]y^{3 * 2}[/tex]        Multiply

Answer:

[tex]y^{6}[/tex]

Hope This Helps :)

Answer:

1.8

Step-by-step explanation:

Answer:

use calculator

Step-by-step explanation:

search calculator on google

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

Answer:

[tex]y=-x-15[/tex]

Step-by-step explanation:

Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.

Simplify this equation.

Distribute -1 inside the parentheses.

Subtract 8 from both sides of the equation.

This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.

Answer:

Doesn't 2+7 = 9 itself?

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

Answer:

G = M/3 + 2

Step-by-step explanaion

We can interpret the quotient of Myrons height and 3 as "M/3" and we add "+2" to account for the "2 in. taller" part of the problem. We can also represent George's height using "G"

The expression that represents George's height, in inches is G = M/3 + 2

What is algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

George is 2 in. taller than the quotient of Myron's height and 3.

let  M represent Myron's height, in inches.

and, the quotient of Myrons height and 3 can be written as

=M/3

Now, add 2 to Myron's height.

Then George's height will be

G = M/3 + 2

Learn more about algebra here:

https://brainly.com/question/24875240

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Answer:

-11/5

Step-by-step explanation:

In order to solve it u should open the mixed fraction ,i.e,

11/7÷-15/21

=11/7×-21/15

Cutting,

ans=-11/5

Mark me the brainliest

Answer:

Fraction: -11/5

Decimal form: -2.2

Mixed number form: -2 1/5

Step-by-step explanation: