Help on this? thanks (:

Answer:

x³ - 12x² + 43x - 40

Step-by-step explanation:

f(x) × g(x)

= (x - 5)(x² - 7x + 8)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis

= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms

= x³ - 12x² + 43x - 40

Answer:

yeah

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal.

Answer:

No irrationals are integers. Irrational numbers are by definition *not rational*, and all integers can represented as the rational

The radius of the base after rotating the rectangle will be 5

Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created is a cylinder.

Let's calculate its radius from the perimeter;

[tex]2p=32[/tex]

[tex]2(b+h)=32[/tex]

[tex]b+h=16[/tex]

[tex]b=16-h[/tex]

Also, [tex]bh=60[/tex]

Thus;

[tex]h(16-h)=60[/tex]

[tex]h^2-16h+60=0[/tex]

Using the online quadratic formula, we have h = 6

Thus; b = 16 - 6 = 10

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.

Thus the radius of the base after rotating the rectangle will be 5

To know more about rectangles follow

https://brainly.com/question/25292087

Answer:

cylinder and 6 units

Step-by-step explanation:

on e2020

Answer: y=-x+4

Step-by-step explanation:

The total amount paid by Kate as a portion of interest will be $12932.

The compound interest is the interest levied upon both the principal amount and the interest from the previous periods.

The formula for the calculation of the compound interest will be given as

[tex]A=P(1+\dfrac{r}{100^} )^n[/tex]

here,

A= Amount

P= priciple

r=Rate of interest

n=Time period

Now it is given that,

P=$9710

r=5.9%

n=5

Then putting the values in the formula we get

[tex]A=9710(1+\dfrac{5.9}{100})^5[/tex]

A=$12932

Hence the total amount paid by Kate as a portion of interest will be $12932.

To know more about compound interest follow

https://brainly.com/question/24274034

Answer:

the answer is C 1,526.22

Step-by-step explanation

2022 edge test

Answer:

Step-by-step explanation:

The slopes of parallel lines are equivalent, so you are correct.

Answer:

A. 720

B. 120

Step-by-step explanation:

To do this you need to do permutation with your calculator

A.

KINDLY has 6 letters

an easy way to do this is by

6 x 5 x 4 x 3 x 2 x 1 = 720

or 6! = 720

B.

6 nPr 3 = 120

or

                n!               6!             6 x 5 x 4 x 3 x 2 x 1             720

P(n, r) = --------   =   ----------   =   -------------------------------   =   -----------   =   120

              (n - r)!        (6 - 3)!                3 x 2 x 1                          6

I hope this helps!

Answer:

y = [tex]\frac{fa - 24}{15}[/tex]

Step-by-step explanation:

[tex]\frac{15y + 24}{a}[/tex] = f

multiply both sides by a

(15y + 24) = fa

the parenthesis can be removed

15y + 24 = fa

subtract 24 from both sides

15y = fa - 24

divide both sides by 15

y = [tex]\frac{fa - 24}{15}[/tex]

Answer:

C, A, C

Step-by-step explanation:

1) Angle D corresponds to angle A, so since corresponding angles of similar triangles are congruent, it measures 64 degrees.

2) Angle E corresponds to angle B. To find the measure of angle B, we can start by using the fact that angles F and C correspond. This means that in triangle ABC, we have angles with measures of 64 degrees, 73 degrees, and angle B. It follows that angle B, and thus angle E, measures 43 degrees.

3) By the exterior angle theorem, the measure of angle G is equal to the measure of angles D and F combined. The measure of angle D is 64 degrees, and the measure of angle F is 73 degrees, so angle G measures 137 degrees.

Answer: -3t^2 + 39t

Step-by-step explanation:

Find the perimeter of the room, which is the sum of all four sides:

12 + 12 + 7 + 7 = 38 feet.

The cost would be 38 ft x 0.97 per foot = $36.86

Answer:

B. If both sides of an inequality are multiplied or divided by a negative​ number, the direction of the inequality symbol must be reversed.

Step-by-step explanation:

What is 42 + 49 - 9023 + 34830?

Answer: 25898

Explanation:

1. 42 + 49 = 91

2. 91 + -9023 = -8932

3. -8932 + 34830 = 25898

Answer:

200g of coffee beans

Step-by-step explanation: 453.592g = 1 pound going by 200 per $3.85 that would be way better than $960

Answer:

200 grams

Step-by-step explanation:

1 pound is 453.592 grams and 200 grams is 0.440925 of a pound. If you paid $3.85 for 200 grams you'd pay a little over $7.70 to get a pound. But if you paid $960 for a pound you'd have to pay a lot more money. So 200 grams of coffee beans is the better buy.

Answer:

R'(-15, 1.5)

S'(-6, 3)

T'(-6, -4.5)

U'(-15, -4.5)

Step-by-step explanation:

Multiply every coordinate by the scale factor k = 3/2 which also 1.5.

R(-10, 1) ---> R'(-15, 1.5)

S(-4, 2) ---> S'(-6, 3)

T(-4, -3) ---> T'(-6, -4.5)

U(-10, -3) ---> U'(-15, -4.5)

Answer:

x=14

y=7

Step-by-step explanation:

this is a 30-60-90 triangle -- u can tell bc there is a right angle marker (90 degrees) and one angle is 30, so the other angle is 60

in a 30-60-90 triangle,,

the long leg = x√3

short leg = x

hypotenuse (the side opposite the right angle marker) = 2x

since u know the long leg is 7√3, the short leg = 7

and since the hypotenuse is 2x (twice the short leg), 7 times 2 = 14

Answer:

Step-by-step explanation:

Let the number of hours Annie travelled be a, and same of Brian be b

Then we have

Substituting a in the first equation

Then finding a

So the answer is:

Answer:

23400 x 8/100 = 1872 = the loss  

1872 : 12 = 156= the loss each month  

156/1872*100% = 8.33 % then round it

Answer:

The answer is 3864294.3

Step-by-step explanation:

Answer:

$44.19 it is correct answer

Answer: 32.7

Step-by-step explanation:

Answer:

1.312 I think

Step-by-step explanation:

answer: 1.312

explanation: 8.2×0.16= 1.312

Answer:

x=113 degrees

Step-by-step explanation:

Step-by-step explanation:

Hope this image helps you!!

Answer:

The common difference in this sequence is 16

Step-by-step explanation:

Answer: 13.8

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

Answer:

44cm

Step-by-step explanation:

The formula to find the circumference of a circle is :

Here,

r ⇒ radius ⇒ 7cm

π ⇒ 22/7

Let us find now.

C = 2 π r

   = 2 × [tex]\frac{22}{7}[/tex] × 7

   = 14 ×  [tex]\frac{22}{7}[/tex]

   = [tex]\frac{308}{7}[/tex]

   = 44 cm

Answer:

390 square miles I think