If f(x)=−x2−8x+7 and g(x)=x−1, what does (g−f)(x) equal?
A)(g−f)(x)=−x2−9x+8
B)(g−f)(x)=−x2−7x+6
C)(g−f)(x)=−8x+8
D)(g−f)(x)=x2+9x−8

Answer:

8) 131.118in^3

9) 18cm^3

Step-by-step explanation:

8) Volume of the prism = Length * Width * height

Volume of the prism = 4.1in * 8.2in * 3.9in

Volume of the prism = 131.118in^3

Hence the volume of soil that will fill the prism is 131.118in^3

9)  Volume of the triangular prism = Base Area * Height of prism

Base  Area = 1/2bh

Base  Area = 1/2 * 4 * 3

Base Area = 6cm^2

Height of the prism  = 3cm

Volume of the prism = 6cm^2 * 3cm

Volume of the prism = 18cm^3

Answer: who me?

Step-by-step explanation:

Oh sure thing. XD

Answer:

A. 42 cm²

Step-by-step explanation:

Rectangle Area: lw

Put the measurements into the expression

(7)(5)

7•5 = 35

Triangle Area: 1/2bh

1/2(7)(2)

1/2(14)

7

Add them together: 35 + 7 = 42 cm²

Answer:

a≈9.19m

Step-by-step explanation:

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

Answer:

the first one should be (0,-5)

the second should be (-2,1)

Step-by-step explanation:

You substitute the given value of y into your equation. 6x-y=5

6x-(-6x-5)=5

x=0

y=-6 * 0-5

y=-5

(x,y)=(0,-5)

AND

7x-6(4x+9)=-20

x=-2

y=4x(-2)+9

y=1

(-2,1)

hope this helps!

Answer:

The answer is x < 16.

Step-by-step explanation:

1) Remove parentheses.

[tex]8 > x - 6 - 2[/tex]

2) Simplify x - 6 - 2 to x - 8.

[tex]8 > x - 8[/tex]

3) Add 8 to both sides.

[tex]8 + 8 > x[/tex]

4) Simplify 8 + 8 to 16.

[tex]16 > x[/tex]

4) Switch sides.

[tex]x < 16[/tex]

Therefor, the answer is x > 16.

Answer:

Step-by-step explanation:

tan49=h/17

h=17tan49

h=19.6 m

The height of the cliff is 19.6 m tall

A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.

Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.

Let h represent the height of the cliff. Let θ = 90 - 49 = 41°. Hence:

tan(41) = 17/h

h = 17 / tan(41) = 19.6 m

Therefore the cliff is 19.6 m tall

Find out more at: https://brainly.com/question/3770177

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)

Answer:

180 degrees in either direction

Step-by-step explanation:

picture it on a piece of paper, if you turn it once, the image becomes longer vertically, but if you flip it again, it looks like it does originally. If this is confusing, actually draw it and see how many times you need to rotate the page to make it look identical to the one you posted. 1 turn = 90 degrees.

Answer:

The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B

Step-by-step explanation:

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

Convert the mixed fraction number into a fraction number. Then we have

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

3/8, 3/4, 9/8, 3/2, 15/8, ........

The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,

d = 3/4 - 3/8

d = 6/8 - 3/8

d = (6 - 3)/8

d = 3 / 8

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Weekly pay = amount per hour x number of hours:

24 x 11.63 = 279.12

Annual salary = weekly pay x 52 weeks:

279.12 x 52 = 14,514.24

Answer:

x=30 is the answer no hate if I'm wrong :)

Step-by-step explanation:

The sum of angles in a triangle is 180 so we add them all and we get x=30.

Then find the measure of each angle by substitution.

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so  71+"?" is 180. Simplify to find that "?" is 109.

[If (r, ) are polar coordinates of the point (x, y) with r > 0, note that not a. ... + y2) In(x2 + y2) (x,y) → (0,0) DNE X Find h(x, y) = g(f(x, y)). g(t) = t + In(t), f(x, y) = 3 - xy 4 ...

Answer:

53.44 cubic meters

Step-by-step explanation:

A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)

Volume of a cylinder = π × r² × h

r = 0.9 meters

h = 2.1 meters

= π × (0.9m)² × 2.1m

= 53.44 cubic meters

Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters

Answer:

3,840

Step-by-step explanation:

Answer:

The volume is 3840

Step-by-step explanation:

12 times 16 times 20. L x W x H

Answer:

-4

Step-by-step explanation:

24 = -6x

-4 = x

............

Answer:

x = -4

Step-by-step explanation:

30 = - 6x + 6

- 6x = 30 - 6

- 6x = 24

- x = 24 / 6

- x = 4

x = - 4

(-5,0)

Step-by-step explanation:

Numbers that lie on the x and y axis

Answer:

100/5=b

Step-by-step explanation:

do 100 divided by 5 then that will be your answer, b

Answer:

D. 23

Step-by-step explanation:

5y = [360 - (65 x 2)] / 2

5y = [360 - 130] / 2

5y = 230 / 2

5y = 115

y = 23

Hope that helps!

Answer:

C

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: Sorry this is late

Answer:

8 sq un, and 9 sq un

Step-by-step explanation:

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

x^2 - 4x + 3 = 0

Factor the left side.

What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?

How about -1 times -3?

Yes, (-1)(-3) is 3 but when added yield -4.

(x - 3)(x - 1) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x - 1 = 0

x = 1

The word root is just another word for solution or the zero of a polynomial.

Answer: x = 1 or x = 3 are the roots.

Answer:

2219.4

Step-by-step explanation:

All you have to do is 6% of 36990 = 0.06 * 36990 = 2219.4