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nekit [7.7K]
3 years ago
7

Solve for y. Then find the values of y that correspond

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

7.

y + 8x = -2

f(x) = y = -8x - 2

f(0)=-2, f(1)=-10, f(2)=-18, f(-2)=14

8.

12x + 3y = 15

3y = -12x + 15

f(x) = y = -4x + 5

f(-1)=9, f(0)=5, f(1)=1

9.

y - 3x = 9

f(x) = y = 3x + 9

f(-2)=3, f(0)=9, f(2)=15

10.

0.4y + 2x = 1.2

4y + 20x = 12

4y = -20x + 12

f(x) = y = -5x + 3

f(-3) = 18, f(0)=3

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A recipe requires 1/5 cup of sugar and 1/2 cup of flour. How many times as much flour is required for the recipe as sugar?
Damm [24]

Answer:

2.5 times

Step-by-step explanation:

To compare the two quantities, find a common denominator.

1/5 is 2/10 of sugar.

1/2 cup of flour is 5/10 of flour.

There is almost 3 times as much flour as sugar. 5/ 2 = 2.5. It is 2.5 times as much.

6 0
3 years ago
15, -19, 23, -27.. how would you write that in sigma notation?
sertanlavr [38]

Answer: i think its zero

Step-by-step explanation:

or u can just look it up on an sigma math calculator and that should give u the answer

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2 years ago
What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Murljashka [212]

Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

3y - 8 = -5x

Add 8 to both sides

3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

6 0
3 years ago
a basketball court is a rectangle that is 94 feet long the area is 4700 square feet what is the width of the basketball court
andre [41]

Answer:

A=l x w 4700=94x? 4799/94~jz

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3 years ago
Ya'll FR get 50 points if you answer this question.
NeX [460]

its 0.37

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pls give me br ai nli es t im try na rank up

7 0
2 years ago
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