1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gre4nikov [31]
3 years ago
11

One factor of One factor of f(x)=5x^3+5x^2-170x + 280 is (x +

Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0

Answer:

Option 2 is correct

Step-by-step explanation:

We have been given an expression

5x^3+5x^2-170x+280

Since, we have given a factor (x+7) that means at x=-7 the value of given expression will be zero

Similarly we have to check the given points where  they are giving values 0.

Let us check at x=-4 that means put x=-4 in given expression we will get

5(-4)^3+5(-4)^2-170(-4)+280

We are getting f(-4)=720\neq0

Hence, x=-4 is dicarded

Hence, option 1 is discarded.

Now, we will check at x=2 we will get

5(2)^3+5(2)^2-170(2)+280=0

Hence, x=2 is factor of given function.

Now, we will check at x=4

5(4)^3+5(4)^2-170(4)+280=0

Hence, x=4 is also a factor of given function.

Option 2 is correct



SpyIntel [72]3 years ago
4 0

Answer:

x = –7, x = 2, or x = 4 are factors of f(x).

Step-by-step explanation:

Given : f(x)  = 5x³ +5x²-170x +280 and x + 7 is one factor .

To find  : What are all the roots of the function.

Solution :  f(x)  = 5x³ +5x²-170x +280 .

We have given that x + 7 is factor that mean x = -7 is factor of f(x )

When we divide f(x) by x +7 we get

5x² -30x +40 =0

Taking common 5 from equation

5( x² -6x +8) =0

On dividing by 5 both sides

x² -6x +8 = 0

On factoring

x² -2x -4x +8 = 0.

Taking common x from first two terms and -4 from last two terms

x ( x -2) -4 (x -2) = 0

On grouping

(x-2) (x-4) = 0

x -2 =0

x =2

x-4 =0

x = 4

Therefore, x = –7, x = 2, or x = 4 are factors of f(x).

You might be interested in
The length is :____ meters and the width is ____meters.
Marta_Voda [28]

Answer:

Length= 8, Width= 4

Step-by-step explanation:

Say the length is l, and the width is w.

We can set l, the length as 2w, as it is double the length.

The perimeter= 2l + 2w= 24

Input l as 2w, get

4w+2w=24

6w=24, w=4.

Length is w*2, so length is 8.

8 0
2 years ago
A bag contains 9 red marbles and 18 blue marbles. If a representative sample contains 2 red ​marbles, then how many blue marbles
Ahat [919]

Answer:

4

Step-by-step explanation:

9 x 2 Is 18 so you would multiply 2 x 2 as well

4 0
3 years ago
If y varies directly as x and y=12 when x=c what is y in terms of c when x=8
tatiyna

"y varies directly as x" means y = kx

you do not know what k is yet, other than that it is some constant number.

Now plug in the given values, y=12 when x=4, in the equation

12 = 4k

=> k = 3

Now rewrite the equation with the k value you just found

y = 3k

Substitute 18 in place of x

y = 3(18)

y = 54

8 0
3 years ago
Enter the equation of the circle described below.<br><br> Center (3, -2), radius = 5
Alik [6]

Answer:

(x-3)^{2} +(y+2)^{2} =5^{2}

Step-by-step explanation:

The equation of the circle with center A=(a,b) and radius = r are:

(x-a)^{2}+(y-b)^{2}  =r^{2}

When A=(3,-2) and radius=r=-5

(x-3)^{2} +(y+2)^{2} =5^{2}

5 0
3 years ago
5, minus, start fraction, t, divided by, 3, end fraction when t=12
11Alexandr11 [23.1K]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow Final  \:\:Value = 1\:

____________________________________

\large \tt Solution  \: :

The statement can be represented as :

\qquad \tt \rightarrow \: 5 -  \dfrac{t}{3}

[ for t = 12 ]

\qquad \tt \rightarrow \: 5 -  \dfrac{12}{3}

\qquad \tt \rightarrow \: 5 - 4

\qquad \tt \rightarrow \: 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

7 0
2 years ago
Read 2 more answers
Other questions:
  • #7: At the gym on Saturday, Reese ran 5 miles on the treadmill and then
    13·1 answer
  • I don't really understand how to do this. Please give me the answer, thanks
    11·2 answers
  • george is climbing a mountain. he knows that the higher the mointaun, the more time the climb will take
    5·1 answer
  • Gabe took one of his friends out to lunch. The lunches cost $50 and he paid 10% sales tax. If Gabe left an 18% tip on the $50, h
    9·1 answer
  • How to write the fraction 6/6 as a sum of fractions three different ways
    9·2 answers
  • Given RST~ ABC find value of x.
    12·1 answer
  • What is the constant of proportionality?
    12·1 answer
  • Slope m=2 y-intercept b=7
    7·1 answer
  • Jasmine invests £250 in a building society. After the first year her account
    14·1 answer
  • Hi please help!!! i’ll give you a brainless answer (question in picture)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!