What is the coefficient of 8x

Answers

Answer 1

Answer:
' 8 ' is the numerical coefficient.

' x ' is the literal coefficient.

Answer 2

Answer: 8 is the answer because coefficient is just the number.

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37x+1/2-(x+1/4)=9(4x-7)+5

Use synthetic division and the remainder theorem to find P ( a).
P(x)= x^3+2 x^2-3x+5, a=3

Answers

Answer:

Forgiven polynomial $P(a)=a^3+2a^2-3a+5=41$ and when a=3 is

$P(3)=41$

Step-by-step explanation:

Given polynomial is $P(x)=x^3+2x^2-3x+5$

Remainder Theorem:

To evaluate the function f(x) for a given number "a" you can divide that function by x - a and your remainder will be equal to f(a). Note that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x - number.

By using synthetic division for given polynomial $P(x)=x^3+2x^2-3x+5$ and factor is (x-a) (here x-3 is a factor given)

_3| 1 2 -3 5

0 3 15 36

___________________

1 5 12 | 41

Given polynomial can be written as

$P(a)=a^3+2a^2-3a+5$

To find P(a):

$P(a)=a^3+2a^2-3a+5$

put a=3

$P(3)=3^3+2(3)^2-3(3)+5$

$P(3)=27+18-9+5$

$P(3)=41$

Therefore for given polynomial $P(a)=a^3+2a^2-3a+5=41$ when a=3 is $P(3)=41$

By how many is 6 less than 14

Answers

14-6=8

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

Queation says: "Is less then" meaning is not telling you to subtract. 6<14

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

Answers

If the dog were on a 15-ft leash tied to a stake in the ground
out in the middle of a field, then he could cover every blade
of grass in a 15-ft circle. The area of a circle is (pi R²), so
he would have free range over (pi · 15²) square feet of area.

Sadly, he's not out in the middle of a field. He's tied to the corner
of the house. So he can't cover the whole circle, because the house
blocks a quarter of the circle. The dog only has access to

   (3/4) of (pi R²)

   = (0.75) · π · (15²)

   = (0.75 · π · 225) = 530 square feet (rounded)

35 because you need to múltiple vi 15342

In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flows from the filter into a cylinder below it. One full cone-shaped filter fills one-fifth of the cylinder.What are the dimensions of the cylinder? Use 3.14 to approximate pi.

A.
h = 3 m; r = 3 m

B.
h = 4.23 m; r = 5 m

C.
h = 15 m; r = 6 m

D.
h = 33.75 m; r = 2 m

Answers

so volume of a cone=1/3 times (area of base) times height

area of base=circle so
1/3 times pi times radius^2 times height

height=4
diameter=2radius
diameter/2=radius
9/2=4.5=radius

height=4
radius=4.5
aprox pi at 3.14
1/3 times (3.14 times 4.5^2) times 4=84.78
that's the volume of the cone

volume of cone=1/5 of cylinder

84.78=1/5cylinder
multiply both sdies by 5
423.9=volume of cylinder

volume of cylinder=height times area of base
area of base=3.14 times r^2
v=h3.14r^2
423.9=3.14hr^2
divide both sdies by 3.14
135=hr^2
sincewe are not given the specific ratio of height to radius or such to thecone to the cylinder, we must use trial and error to elimninate wrongchoices

135=hr^2
let's try A

A
135=3(3^3)
135=3(9)
135=27
false
A is wrong

B
4.23=h 5=r
135=4.23 times 5^2
135=4.23 times 25
135=105.75
false
B is wrong

C
h=15 r=6
135=15 times 6^2
135=15 times 36
135=540
false
C is wrong

D
33.75=h 2=r
135=33.75 times 2^2
135=33.75 times 4
135=135

the answer is D since it fitst the dimentions

$(9/2*9/2*4* \pi )/(3)$
= $(81*3.14 )/(3)$
=27*3.14 (the cone's v)
so multiply 5 to the v = 135*3.14 (cylinder's v)
A:3*3*3*3.14=27*3.14 X
B:5*5*4.23*3.14=105.75*3.14 X
C:6*6*15*3.14=540*3.14 X
D:2*2*33.75*3.14=135*3.14 O
Answer: is .....D
:)

low tide is 1 foot below the average water level. High tide is 5 feet higher than low tide. Write an integer that represents the average water level relative to high tide.

Answers

The integer that represents the average water level relative to high tide exist H - 2.5.

What is meant by an integer?

A number that contains both positive and negative integers, including zero, is called an integer. There are no fractional or decimal parts in it.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Given: Low tide is 1 ft below avg. water level.

High tide is 5 ft higher then low tide.

If A be the average and L exists low tide level then high tide H = L+5.

A = ½(L + H)

L = A - 1

H = L + 5, or L = H - 5.

The integer representing average water level relative to high tide. I guess this indicates to express A in terms of H.

A = ½(L + H) = ½(H-5 + H)

A = H - 2.5

Therefore, the integer that represents the average water level relative to high tide exist H - 2.5.

The complete question is:

Low tide is 1 ft below avg. water level. High tide is 5 ft higher than low tide. Write the integer representing avg water to high tide.

Low tide is one foot below the average water level. High tide is 5 feet higher than low tide. Write an integer that represents the average water level relative to the high tide.

To learn more about integer refer to:

brainly.com/question/26009132

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Keith borrowed a total of $30 by borrowing the same amount of money from 5 different friends. How much money does keith owe each friend?