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3 years ago

15

What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

2 answers:

olganol [36]3 years ago

5 0

That "|x + 2|" indicates that the vertex of the most basic absolute value function, y=|x|, has been shifted 2 units to the left. That "+4" indicates that the vertex has been shifted 4 units up. Thus, the vertex of f(x)=|x+2|+4 is (-2,4).

Debora [2.8K]3 years ago

4 0

What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

Answer:

(-2,4).

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What is the factored or of 25y^4 - 4z^2

Cerrena [4.2K]

Answer:

$(5y^2+2z)(5y^2-2z)$

Step-by-step explanation:

Use the difference of squares formula.

$a^2-b^2=(a+b)(a-b)$

$a=5y^2 \\ b=2z$

$(5y^2+2z)(5y^2-2z)$

5 0

3 years ago

A dolphin swims 665,280 feet in 3 hours. Use the formula dart, where d represents distance, r represents rate, and t represents

barxatty [35]

Step-by-step explanation:

a) r=d/t ( same as formula of speed)

b) r= 665280/3=221760 feet/hr

c) distance in miles = 665280/5280= 126

so r=126/3 = 42 miles/hr

d) i think using miles makes more sense cz using feet will result in greater number of values so there is a greater chance of human error

5 0

3 years ago

Read 2 more answers

You buy a house for $230,000. It depreciates 3% per year. How much is it worth in 5 years?

Nookie1986 [14]

I honestly don’t know the equation but I just took the starting price, $230,000 and multipled it by .03 which was 6,900 and subtracted that from 230,000: 223,190. I repeated that 5 times. The answer I got is 197,508.83

3 0

2 years ago

McKenna and Lara work for their uncle Eddie who repairs skateboards and bicycles. Uncle Eddie is leaving for a vacation to the A

natali 33 [55]

Let x be a number of skateboards and y be the number of bicycles in Eddie's repair shop.

Eddie asks the girls to order 54 new wheels for 21 skateboards and bicycles, then

x+y=21.

One scateboard has 4 wheels, then x scateboards have 4x wheels, one bicycle has 2 wheels, then y bicycles have 2y wheels. In total there should be ordered 54 wheels, so

4x+2y=54.

Solve the system of equations:

$\left\{\begin{array}{l}x+y=21\\4x+2y=54.\end{array}\right.$

From the first equation $x=21-y.$ Substitute it into the second equation:

$4(21-y)+2y=54,\\ \\84-4y+2y=54,\\ \\-2y=54-84,\\ \\-2y=-30,\\ \\2y=30,\\ \\y=15.$

Then

$x=21-15=6.$

Answer: 6 scateboards and 15 bicycles.

8 0

3 years ago

Can someone help me find the area

goldfiish [28.3K]

To find the volume of a container, you simply multiply: L(ength) x B(ase) x H(eight).

In total, you should get a volume of 1078in^3 (the bigger container) plus 175in^3 (the smaller container on top of the bigger one). The answer is 1,253in^3.

Hope this helped! :)

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3 years ago