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Aleks04 [339]
4 years ago
14

Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What

is
the first year the f(x) height is greater than the g(x) height?

A) year 0

B) year 1

C) Year 2

D) year 3

​
Mathematics
2 answers:
Salsk061 [2.6K]4 years ago
8 0

I believe you answer would be D

aleksandr82 [10.1K]4 years ago
3 0

Answer:

None of them.

Step-by-step explanation:

you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have

4x>5x+2\rightarrow -2>5x-4x=x . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.

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2(3x+2)and6+4x what is the answer
Andreyy89

Answer:

Step-by-step explanation:

4 0
3 years ago
Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in
adell [148]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $300

r = 10% = 10/100 = 0.1

n = 2 because it was compounded 2 times in a year(6 months).

t = 3 years

Therefore,

A = 300(1 + 0.1/2)^2 × 3

A = 300(1 + 0.05)^6

A = 300(1.05)^6

A = $402.03

4 0
3 years ago
Which function defines the sequence -16,-22,-28,-34 where f(10)= -70
-Dominant- [34]

Answer:

f(n) = -6n - 10.

Step-by-step explanation:

This is arithmetic sequence with first term a1 = -16 and common difference d = -6.

So f(n) = a1 + d(n - 1)

= -16 - 6(n - 1)

= -16 - 6n + 6

= -6n - 10.

Checking:

f(10) = -6(10) - 10 = -70.

5 0
3 years ago
Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?
Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

p(x) =  {x}^{3}  + 2 {x}^{2}  - 3x - 4

is divided by x+1, then the remainder is given by

p( - 1)

We substitute x=-1 into the function to obtain,

p( - 1) =  {( - 1)}^{3}  + 2 { ( - 1)}^{2}  - 3( - 1) - 4

We simplify to get:

p( - 1) =  -  1+ 2 (1)   + 3 - 4

p( - 1) = 4- 4

p( - 1) = 0

Katnis is right because the remainder is zero

3 0
3 years ago
20 points!! Please look at the picture below
Thepotemich [5.8K]

Answer:

I believe the answer is D.

4 0
3 years ago
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