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Drupady [299]
2 years ago
12

Given that (x + 2) is a factor of f(x), what is the value of f(-2)? Explain how you know.

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
8 0

Answer:

f(-2) = 0

Step-by-step explanation:

well we can express f(x) as follows

f(x) = (x+2)Q(x)\\\\

we don't need the value of q(x) (for this exercise)

now evaluate when x = -2

f(-2)=(-2+2)Q(-2)\\\\f(-2)=0(Q(-2))\\\\f(-2) = 0

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If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
what property justifies this statement if segment AB is congruent to segment de and segment de is congruent to segment a b
irina [24]

Answer:

If segment AB is congruent to segment DE, then segment DE is congruent to segment AB.

This is the same as if a=b then b=a! which property does that sound like?

Step-by-step explanation:

4. 3x + 4=35, well 3x+4-4=35 -4 -> 3x= 35-

4, which property subtracts from both sides?

8. it's already proven! what else is left but to use it! A property is not something in need of proof, it's the very basic stuff we start off with! A conjuncture is still not proven only thought to be true. That leaves 2.

9. if i give u the answer to this one then you won't get much out of it! so either i give you the answer or you get it yourself, those are the conditions.

10. p --> q, well we know p OR q is not it because OR is a U P AND q is not it because OR is a U

so it must be implies!

But is it p implies q or is it q implies p.

Hmmmm...i wonder.. which way does the arrow point from the st to the 2nd.

12. The statement is P then Q Inverses is not P the Q Inverse is not Q converse is Q the P

Contraceptive is not Q then not P.

13. If and only if, i will give you the answer if and only if you only look it up on the internet.

Did i put one condition on you to do it or two?

Indirect proof is a type of proof in which a statement to be proved is assumed false and if the assumption leads to an impossibility, then the statement assumed false has been proved to be true.

7 0
3 years ago
When do u use two number lines to compare two fractions
jeka94

Answer:

You need two number lines to compare two fractions when their denominators are different. The procedure is that you draw to segment lines of the same length but divede each line according to its denominator and then compare the place of the points that mark the fraction numbers, the line that content the marke further away from the start end will be indicate the greater fraction. For example, the fractions 3/4 and 7/10. One line will be divided inot 4 equidistant segments, and the other with 10 equidistant segments. The fraction 3/4 will be represented with 3 marks on the first line, and the fraction 7/10 will be represented with 7 marks on the second line. Now you can compare the size of the two segments marked adn decide which fraction is greater.

GOOD LUCK!

credits to the internet/brainly whom gave me these answers. ; )

5 0
3 years ago
PLEASE HELP ANSWER THIS ASAP!!! :)
PilotLPTM [1.2K]

Answer:

C, 42 degrees

Step-by-step explanation:

Considering  angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.

5 0
3 years ago
Which of the following describes sec(205°)?
kap26 [50]
This is the concept of trigonometry, to solve the question we proceed as follows;
sec(x)=1/cosx
thus;
sec(205)=1/cos205
=1/-0.9063
=-1.1034
this implies that:
sec(205)<-1

4 0
3 years ago
Read 2 more answers
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