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3 years ago

Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Mathematics

1 answer:

RUDIKE [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

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Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

$time= \frac{k}{rate}$

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

$2.5= \frac{k}{4}$ so k = 10

$3.75= \frac{k}{6}$ so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

$2= \frac{k}{3}$ so k = 6

$3= \frac{k}{4.5}$ so k = 13.5

K values are not same

$2.5= \frac{k}{4}$ so k = 10

$2= \frac{k}{5}$ so k =10

K values are same .

Answer is option C

3 0

3 years ago

Help thanks !!!!!!!!!!!!!

Elden [556K]

Answer:

5:2

Step-by-step explanation:

There are 5 apples and 2 cherries. Put them together to get 5:2.

4 0

3 years ago

Read 2 more answers

A man bought a bicycle for $400 and sold it at a loss of 35%. How much money did he lose?

DedPeter [7]

If he bought the bike for $400 and lost 35% of his profit, you would divide 35 by 100. Next, you would multiply that number (0.35) by 400. When you do that, you get an answer of $140. In conclusion, if he bought the bike for $400 and sold it at a loss of 35%, he would lose $140 from that $400.

Additionally, if you wanted to know what exactly he sold it for, you would simply subtract 140 from 400. Which would be $260.

So, he bought the bike for $400, but when he resold it, he lost $140 of that pay. Basically, he resold the bike for $260.

I hope this helps! :) Let me know if you need help with anything else!

8 0

3 years ago

4x+y^2 over / 4x+5y =??? find the numerical value of x=3 and y=1 .

polet [3.4K]

Answer:

<u>The answer is 13/17</u>

Step-by-step explanation:

4x+y^2 divided by 4x+5y

4(3)+1^2 divided by 4(3)+5(1)

12+1 divided by 12+5

13 divided by 17

7 0

3 years ago

What is an expression for 2 over 3 (4x +9).

KiRa [710]

Answer:

Step-by-step explanation:

2 / 3 ( 4x + 9 )

Distributive property

2 / 12x + 27

4 0

3 years ago