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docker41 [41]
3 years ago
6

Midpoint Between Two Given Points

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

(1, -7)

Step-by-step explanation:

the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1

you do the same for -9 and -5, the midpoint for those being -7, I hope this helps

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The graph of h(x) is a translation of f(x)=3 √x
Gnoma [55]

Answer:

h(x)=\sqrt[3]{x+2}

Step-by-step explanation:

we have

f(x)=\sqrt[3]{x}

The inflection point of f(x) is the point (0,0)

The inflection point of h(x) is the point (-2,0) -----> see the given graph

so

the rule of the translation of f(x) to h(x) is

(x,y)------> (x-2,y)

That means------> The translation is 2 units to the left

therefore

The equation of h(x) is equal to

h(x)=\sqrt[3]{x+2}

5 0
4 years ago
Read 2 more answers
Suppose your salary in 2012 is $65,000 if the annual inflation rate is 4%, what salary do you need to make in 2021 in order for
vekshin1

The salary in 2012 was $65,000.

If the inflation rate is 4%, the salary should increase at least 4% per year to keep up with inflation.

Then, we can calculate the salary adjusted by inflation in 2021 as:

S_{2021}=S_{2012}\cdot(1+i)^{2021-2012}=S_{2012}\cdot(1+i)^9

Replacing with the data, we get:

\begin{gathered} S_{2021}=S_{2012}\cdot(1+i)^9 \\ S_{2021}=65000\cdot(1+0.04)^9 \\ S_{2021}=65000\cdot1.04^9 \\ S_{2021}\approx65000\cdot1.4233118 \\ S_{2021}\approx92515.27 \end{gathered}

Answer: the adjusted salary to keep up with inflation should be $92,515.27 in 2021.

8 0
1 year ago
What is 68.797 rounded to the nearest hundredth
yarga [219]
68.80 because 7 is greater than 5
3 0
3 years ago
What is the cosine (3x)
tekilochka [14]
The formula is 4 cos^3(x)-3 cos(x)
3 0
3 years ago
Which equation shows a valid, practical step in solving
lesantik [10]

For this case we have the following equation:

\sqrt [4] {2x-8} + \sqrt [4] {2x + 8} = 0

If we subtract both sides of the equation \sqrt [4] {2x + 8} we have:

\sqrt [4] {2x-8} = - \sqrt [4] {2x + 8}

To eliminate the radical we raise both sides of the equation to the fourth power:

(\sqrt [4] {2x-8}) ^ 4 = (- \sqrt [4] {2x + 8}) ^ 4

Answer:

Option D

6 0
4 years ago
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