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3 years ago

14

Isaac orders dried fruit from an online health food store. He pays a price per pound for the fruit, and a flat shipping fee. Thi

s table shows the total cost for different amounts of fruit ordered.What is the most reasonable domain and range for the situation?

1 answer:

Tasya [4]3 years ago

3 0

Answer:

Step-by-step explanation:

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What is the product? (negative 3 s + 2 t)(4 s minus t)

lapo4ka [179]

Answer:

-12s^2 + 11st - 2t^2.

Step-by-step explanation:

(-3s + 2t)(4s - t)

= -3s(4s - t) + 2t(4s - t)

= -12s^2 + 3st + 8st - 2t^2

= -12s^2 + 11st - 2t^2.

8 0

3 years ago

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago

Massimo spent $90. riding the bus. Each bus ride cost $2.50. Write and solve an equation to determine how many times Massimo rod

Varvara68 [4.7K]

Answer:

$90 ÷ $2.50 = 36

Massimo rode the bus 36 times.

Please mark brainliest. Have a great day!

5 0

3 years ago

5. A car wash uses 50 gallons of water every

ira [324]

Answer:

1.25 gallons per second

Step-by-step explanation:

To figure this out divide 50 by 40

I don't know how to explain this further, hope this is good enough.

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3 years ago

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Your best bet would be D.

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3 years ago

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