Given a polynomial f(x), if (x + 5) is a factor, what else must be true?f(0) = 5
f(0) = −5
f(5) = 0
f(−5) = 0

Answers

Answer 1
Answer:

f(0) = - 5 represents the correct value for the polynomial f(x).

What is a polynomial?

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). Example -

5x³ + 4x + 5

Given is a polynomial f(x) and (x + 5) as its factor.

If (x + 5) is the factor, then the graph of f(x) cuts [x] axis at x = - 5. So,

f(0) = - 5.

Therefore, f(0) = - 5 represents the correct value for the polynomial f(x).

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Answer 2
Answer: Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5. 

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D. 

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Please help! Will give brainliest !!

Answers

1 and 7 - corresponding
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4 and 5 - consecutive interior

2x-4y=2 -2x+3y=0 elimination

Answers

2x-4y=2 \n\underline{-2x+3y=0} \n-4y+3y=2+0 \n-y=2 \ny=-2 \n \n2x-4y=2 \n2x-4 * (-2)=2 \n2x+8=2 \n2x=2-8 \n2x=-6 \nx=(-6)/(2) \nx=-3 \n \n(x,y)=(-3,-2)

2x-4y=2

-2x+3y=0

-------------------- (+)

3y-4y=2

-y=2   /*(-1)

y=-2

2x-4y=2

2x-4*(-2)=2

2x+8=2   /-8

2x=-6

x=-3


CANT GET WRONG PLZ HELPSimplify
1 + {2x - 3(1.8 divided by 0.2)}

a. 2x - 26
b. 2x + 28
c. 3x - 27
d. -7x + 1

Answers

Work is attached. 

:D

I had to write twenty characters.

Choose the ratio that you would use to convert 6.1 hours to minutes

Answers

you would use divison divided 6.1 by 60 seconds

Isolate c
a=b(1/c-1/d)

Answers

A= b(1/c - 1/d)
A/b = 1/c -1/d
A/b + 1/d = 1/c
(A/b + 1/d) 1 = c

Answer: c = b/(a + 1).

Step-by-step explanation:

a = b(1/c - 1/d)

Expand RHS by first finding LCM

a = b((d — c)/cd)

a = (bd — bc)/cd

Then cross multiply

acd = bd — cd

Collect the terms having c to the LHS

acd + cd = bd

Factorise cd out of LHS

( a+ 1)dc = bd

c = bd/(a + 1)d

c = b/(a + 1).

Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?
a. $9452.54
c. $12,328.91
b. $11,025.45
d. $10,094.57

Answers

Answer:

He invest $10101.01.

Step-by-step explanation:

Given : Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then.

To find : How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?  

Solution :

Using compound interest formula,

A=P(1+r)^t

Where, A is the amount  A=$15000

P is the principle P=?  

r is the rate r=8%=0.08

t is the time t= 5 years

Substitute the value,

A=P(1+r)^t

15000=P(1+(0.08)/(4))^(5*4)

15000=P(1+0.02)^(20)

15000=P(1.02)^(20)

15000=P* 1.485

P=(15000)/(1.485)

P=10101.01

Therefore, He invest $10101.01.

Answer:

d

Step-by-step explanation:

x - initial investment

8% - annual rate

x·=15,000,

so x = 10094.54    

ANSWER: $10,094.57