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2 years ago

15

Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).

1 answer:

erastovalidia [21]2 years ago

8 0

Answer:

D

Step-by-step explanation:

standard form would be 3x^2-12x+12

vertex form y=3(x-2)^2

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Pls help<br> Find the volume of the composite solid.

BaLLatris [955]

6cm this should be right

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2 years ago

I. Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2<br> + 1. Compute the following:<br><br> 1. f(g(-1))

aleksandrvk [35]

F(g(-1))
g(-1) = 3(-1) = -3
f(-3) = 2(-3) -1 = -6 -1 = -7

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2 years ago

Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe

matrenka [14]

Answer:

Step-by-step explanation:

The end behavior notation is at (4,3)

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3 years ago

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A robot can complete up to 8 tasks in 5/6 hour. each task takes the same amount of time.

storchak [24]

$\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ 1&h \end{array}\implies \cfrac{8}{1}=\cfrac{~~\frac{5}{6}~~}{h}\implies 8=\cfrac{~~\frac{5}{6}~~}{\frac{h}{1}}\implies 8=\cfrac{5}{6}\cdot \cfrac{1}{h} \\\\\\ 8=\cfrac{5}{6h}\implies 48h=5\implies h=\cfrac{5}{48}\\\\[-0.35em] \rule{31em}{0.25pt}$

$\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t$

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3 years ago

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What is the solution to 3 times the square root of 4 minus 2 times the square root of 4? A. 0 B. 1 C. 2 D. 3

olasank [31]

For this case we have the expression:

"the square root of 4" is represented algebraically as:

$\sqrt {4}$

Then, we can express the given statement as:

$3 \sqrt {4} -2 \sqrt {4} =$

They are similar terms, we can subtract:

$3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}$

By definition of power properties we have that:

$\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a$

Then the expression is reduced to:

$\sqrt {2 ^ 2} = 2$

Answer:

$3 \sqrt {4} -2 \sqrt {4} = 2$

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3 years ago