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kow [346]
3 years ago
9

Consider the two functions given below.

Mathematics
2 answers:
g100num [7]3 years ago
5 0

Answer:

Option A is the correct answer.

Step-by-step explanation:

y intercept means x value is 0.

f(0) = 3 x 0 + 4 = 4

g(0)=2^0-1=1-1=0

We need same y intercepts

 That is f(0) = g(0)

           4 + a = 0 + b

Checking all the options

a) f(x) - 3 and g(x) + 1

          4 - 3 and 0 + 1

              1 and 1

    Option A is correct.

b) f(x) + 4 and g(x) - 1

          4 + 4 and 0 - 1

              8 and -1

    Option B is wrong.

c) f(x) - 2 and g(x) + 1

          4 - 2 and 0 + 1

              2 and 1

    Option C is wrong.

d) f(x) + 3 and g(x) - 6

          4 + 3 and 0 - 6

              7 and -6

    Option D is wrong.

So, Option A is the correct answer.

mestny [16]3 years ago
3 0
This means which transformation makes the same answer at x = 0

f(x) = 3x + 4
g(x) = {2}^{x}  - 1

f(0) = 4
g(0) = 1 - 1 = 0

Which transformation makes 4 = 0?

4 + x = 0 + y

4 - 3 =0 + 1

1 = 1

Option 1 is your answer
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2 years ago
Determine whether the statement is true or false, and explain why.
Zielflug [23.3K]

Answer:

False

Step-by-step explanation:

In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.

It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:

\int\limits_0^1 x^2/x^3+1 \, dx = 1/3 * \int\limits_1^2 du/u = (ln(2) - ln(1) )/3

(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)

4 0
2 years ago
Julia drove 135 miles in 4.5 hours. Find her average rate in miles per hour
BlackZzzverrR [31]
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6 0
3 years ago
Substitute 2m + n =0 and m + 2n =3
melamori03 [73]

There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:

2m + n = 0 => n = -2m

We can input that in for the other equation:

m + 2n = 3 now becomes: m + 2(-2m) = 3

Now we can solve:

m + 2(−2m) = 3

m + −4m = 3

(m + −4m) = 3 (Combine Like Terms)

−3m=3

m = -1

Now we can input that value in to solve for n:

We said that n = -2m, and m = -1, so n = -2(-1):Answer:

n = 2

Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)

----------------------

However, if you were solving for m+n:

You would add the two equations!:

2m + n = 0

m + 2n = 3

----------

3m + 3n = 3

Now, you can take 3 common:

3(m+n) = 3

m + n = 1

Your final answer for what m + n equals 1!

3 0
3 years ago
Given the function f(x) = 4(2)x, section a is from x = 1 to x = 2 and section b is from x = 3 to x = 4. part
Aliun [14]
A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.
6 0
2 years ago
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