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3 years ago

Given the parent function, y=2^x, write an equation for a function that has a vertical shift down 5 units.

Mathematics

2 answers:

Ulleksa [173]3 years ago

5 0

Answer:

y=2^x - 5

Step-by-step explanation:

"- 5" demonstrates a verical shift 5 units down

Ksju [112]3 years ago

5 0

Answer: y=2^x +5
explanation: vertical shifts are outside changes that impact the y value

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-1/4x+3=-3/2x-2 what is this equivalent to

frozen [14]

Pick any number for n n(y) = n(3/2x + 4) n(y) = n(3/2x) + n(4)

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4 years ago

n a group of 40 people, 10 people are healthy. The 30 unhealthy people have either high blood pressure, high cholesterol, or bot

aalyn [17]

Answer:

If a person is randomly selected from this group, the probability that they have both high blood pressure and high cholesterol is P=0.25.

Step-by-step explanation:

We can calculate the number of people from the sample that has both high blood pressure (HBP) and high cholesterol (HC) using this identity:

$N(\text{HBP or HC})=N(\text{HBP})+N(\text{HC})-N(\text{HBP and HC})\\\\\\ N(\text{HBP and HC})=N(\text{HBP})+N(\text{HC})-N(\text{HBP or HC})\\\\\\ N(\text{HBP and HC})=15+25-30=10$

We can calculate the probability that a random person has both high blood pressure and high cholesterol as:

$P(\text{HBP and HC})=\dfrac{10}{40}=0.25$

3 0

3 years ago

Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player. What percent of those who owned a TV also o

Luda [366]

Answer:

82.5% Americans owned a TV also owned a DVD player .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player.

Here

Part value = 94.2 million

Total value = 114.2 million

Putting all the values in the formula

$Percentage = \frac{94.2\times 100}{114.2}$

$Percentage = \frac{94200\times 10}{1142\times 10}$

$Percentage = \frac{942000}{11420}$

Percentage = 82.5 %

Therefore 82.5% Americans owned a TV also owned a DVD player .

3 0

3 years ago

Name one addition piece of information that is sufficient to prove that the triangles are similar. Please explain!

Sophie [7]

Answer:

the given triangles are right triangles which is enough to prove them 'similar'

but not congruent.

8 0

3 years ago

What’s the radius of the circle

topjm [15]

Answer:

radius=2

Step-by-step explanation:

if the circumference=4pi and the formula is 2pir then r must be 2 and would look like this:

C = 2pir

C = 2pi2

C = 2*2pi

C = 4pi

6 0

3 years ago