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2 years ago

11

Olivia and her 2 friends are sharing gallons of paint for their rooms. They have the same size room and therefore want to split

the paint evenly. How many gallons does each friend receive?

1 answer:

pickupchik [31]2 years ago

3 0

Answer:

1 gallon

Step-by-step explanation:

1 gallon because they are sharing the equally

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A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is gi

aleksklad [387]

Answer:

The given equation has a y-intercept at (0, 3).

y = -16x^2 + 32x + 3 = -16(x^2 - 2x) + 3 = -16(x - 1)^2 + 19. This means the vertex is at (1, 19).

To transform the y = x^2 graph:

First we invert the graph with respect to the x-axis, maxing it a downward parabola y = -x^2.

Next, we move its vertex from the origin (0, 0) to (1, 19), making the equation y = -(x - 1)^2 + 19.

Third, we "expand" the opening of the parabola such that it passes through the y-intercept of (0, 3). The right-side of the parabola should also be expanded similarly, since it is symmetric.

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2 years ago

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x

Tatiana [17]

Answer:

reflection over the x-axis and a vertical compression by a factor of 8

Step-by-step explanation:

The parent function is given as

$f(x) = x$

The transformed graph has equation:

$g(x) = - 8f(x)$

The factor of 8, indicates a vertical stretch.

The negative sign indicates a reflection in the x-axis.

Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.

3 0

2 years ago

Elijah ate trail mix nine different times. Each X on the line plot represents an amount that he ate.

Alika [10]

Answer:

D. 15/4

Step-by-step explanation:

1/4 * 5 = 5/4

1/2 * 2 = 1 = 4/4

3/4 * 2 = 6/4

Total:

5/4 + 4/4 + 6/4

= 15/4

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2 years ago

Read 2 more answers

Which equation is y=3(x-2)^2-(x-5)^2 rewritten in vertex form?

Misha Larkins [42]

The question does not present the options, but this does not interfere with the resolution

we have that
y=3(x-2)²-(x-5)²
y=3(x²-4x+4)-(x²-10x+25)
y=3x²-12x+12-x²+10x-25
y=(3x²-x²)+(-12x+10x)+(12-25)
y=2x²-2x-13
y+13=2x²-2x
y+13=2(x²-x)
y+13+0.50=2(x²-x+0.25)
y+13.50=2(x-0.5)²------> this is the equation in the vertex form

the vertex is the point (0.5,-13.50)

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2 years ago

Read 2 more answers

A population consists of the following five values: 1, 3, 4, 4, and 6. List all samples of size 2 from left to right without rep

aniked [119]

Answer:

The sample of sizes 2 and their mean are given below.

Step-by-step explanation:

The population consist of 5 values, S = {1, 3, 4, 4, 6}.

The number of samples of size 2 (without replacement) that can be formed from these 5 values is:

${5\choose 2}=\frac{5!}{2!(5-2)!} =10$

Th formula to compute the mean is:

$\bar x=\frac{1}{n}\sum x_{i}$

List the 10 samples and their mean as follows:

<u>Sample</u> <u>Mean</u>

(1, 3) $\bar x=\frac{1}{2}[1+3]=\frac{4}{2}=2.0$

(1, 4) $\bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5$

(1, 4) $\bar x=\frac{1}{2}[1+4]=\frac{5}{2}=2.5$

(1, 6) $\bar x=\frac{1}{2}[1+6]=\frac{7}{2}=3.5$

(3, 4) $\bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5$

(3, 4) $\bar x=\frac{1}{2}[3+4]=\frac{7}{2}=3.5$

(3, 6) $\bar x=\frac{1}{2}[3+6]=\frac{9}{2}=4.5$

(4, 4) $\bar x=\frac{1}{2}[4+4]=\frac{8}{2}=4.0$

(4, 6) $\bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0$

(4, 6) $\bar x=\frac{1}{2}[4+6]=\frac{10}{2}=5.0$

8 0

2 years ago