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3 years ago

Slope 1.5, passes through (0,5)

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

Answer:

y = 1.5x + 5

Step-by-step explanation:

The slope(m) is 1.5

The line passes through (0,5)

Taking another point (x,y) on the line;

Slope(m) = change in y ÷ change in x

1.5 $\frac{y - 5}{x - 0}$

Cross multiplying gives;

y = 1.5x + 5

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Given: 2x + 3y = 1470 Convert to slope intercept form to find the slope and y-intercept.

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Answer:

Slope = 2/3 and y-intercept = 490

Step-by-step explanation:

2x + 3y = 1470

3y = -2x + 1470

y = 2/3 x + 490 <----------Slope intercept form

Slope = 2/3 and y-intercept = 490

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Step-by-step explanation:

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Iteru [2.4K]

Step-by-step explanation:

$n = 3 \times 5 {}^{2} \times {x}^{3}$

Square both sides of the equation.

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3 years ago

A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o

frutty [35]

Answer:

$\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3$

Step-by-step explanation:

Let $a$ be the number of bags with 8 onions and let $b$ be the number of bags with 3 onions. We have the following system of equations:

$\begin{cases}a+b=7,\\8a+3b=41\end{cases}$

Subtracting $b$ from both sides of the first equation, we get $a=7-b$ . Substitute this into the second equation:

$8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}$

Therefore, the number of 8-onion bags is:

$a=7-b,\\a=7-3,\\a=\boxed{4}$

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

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3 years ago