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Sedaia [141]
3 years ago
7

Come graphs find the value of h,k, or a

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answers:

  • Translation 3 units up
  • k = 3

============================================================

Explanation:

The y intercept of the black f(x) curve is at (0,1)

The y intercept of the blue curve is at (0,4)

To go from y = 1 to y = 4, we add 3

So we shift 3 units up to go from the f(x) curve to the g(x) curve.

The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.

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400 meters to 350 meters
OleMash [197]

Minus 150 meters pepega I don’t quite understand the question but that is one way to get from 400 to 350 meters.

8 0
3 years ago
Are f and g inverses of each other? Support your response algebraically
NeTakaya

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - \frac{1}{2}) = x - \frac{1}{2} + \frac{1}{2} = x

g(f(x)) = g(x + \frac{1}{2}) = x + \frac{1}{2} - \frac{1}{2} = x

Hence f(x) and g(x) are the inverse of each other


4 0
3 years ago
Please Help!!!
mylen [45]
B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots

That is, we can write the sum more compactly as

\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n

The series is geometric with common ratio \dfrac23, so the series converges (and thereby has a sum), so the answer is D.
6 0
2 years ago
Please someone help I can’t this
kupik [55]

Answer:

When i took it i chose C and was right. I'm not sure if we use the same school but it was my answer. Hope it helps.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Ms. Patterson deposits $2,575 into her bank account each month. She also withdraws the following amounts every month: . $1,029 f
Aleks04 [339]

Answer:

  $9408 more than she started with

Step-by-step explanation:

The amount added to Patterson's account each month is ...

  $2575 -1029 -312 -450 = $784

After 12 months, she has added ...

  12 × $784 = $9408

After 12 months, Patterson has added $9408 to her account.

7 0
3 years ago
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