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3 years ago

Describe the graph of y = |x - 2| + 4

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Note that this function resembles the absolute value function y = |x|.

The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.

The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.

The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.

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Solve for n. 10n = 6 Simplify your answer as much as possible.

Ipatiy [6.2K]

Answer:

0.6 as a decimal or 3/5 as a fraction

Step-by-step explanation:

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3 years ago

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t

natka813 [3]

Answer:

Step-by-step explanation:

The function is $\frac{1620}{1+1.15e^{-0.042t}}$

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum ( $\infty$ ). Let's check:

$\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620$

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

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3 years ago

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Samantha wants to find the height of a pine tree in her yard. She measures the height of the mailbox st 3ft and its shadow at 4.

Simora [160]

The tree is about 35.01 feet tall.

7 0

3 years ago

Eric made 3 batches of cupcakes for the bake sale. He needs at least 120 cupcakes for the bake sale. He also plans on giving 20

polet [3.4K]

Answer:

c≥47

Step-by-step explanation:

120+20=140

140/3≈46.667

46.667≈47

Ther can be no less than 47 cupcakes

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3 years ago

7x + 2y=24<br> 8x + 2y=30

Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

Layer the equations on each other as you would in a subtraction problem:

8x + 2y=30

7x + 2y=24

Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

42+2y=24 then

2y=-18 then

y=-9

Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

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3 years ago