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2 years ago

Can anyone help me with both problems please?

Mathematics

1 answer:

Eva8 [605]2 years ago

8 0

Answer:

1.y=2x+7

2.y=1/2x+2

Step-by-step explanation:

Graph 1-

The slope-intercept form is y=mx+b

b= y-intercept which in graph 1 is 7

so y=mx+7

in order to find m you use the y2-y1/x2-x1 equation.

This means find two coordinates on the graph such as (0,7) and (-1,5).

Now find y2:5

y1:7

x2:-1

x1:0

y2-y1= 5-7=-2

x2-x1= -1

That gives you -2/-1 which you then simplify to = 2

So the graph would be y=2x+7

Graph 2:

You will do the same steps: Find where the line passes through y on a graph, which will be y=2.

b=2

y=mx+2

then find two coordinates, (0,2)(2,3)

y2=3

y1=2

x2=2

x1=0

y2-y1=3-2=1

x2-x1=2-0=2

The slope of the graph which is m= 1/2

y=1/2x+2

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Answer:

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2 years ago

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Asa has 15 dimes and 32 quarters.

Step-by-step explanation:

Given,

Total coins = 47

Worth of coins = $9.50 = 9.50*100 = 950 cents

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1 quarter = 25 cents

Let,

Number of dimes = x

Number of quarters = y

According to given statement;

x+y=47 Eqn 1

10x+25y=950 Eqn 2

Multiplying Eqn 1 by 10

$10(x+y=47)\\10x+10y=470\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(10x+25y)-(10x+10y)=950-470\\10x+25y-10x-10y=480\\15y=480$

Dividing both sides by 15

$\frac{15y}{15}=\frac{480}{15}\\y=32$

Putting y=32 in Eqn 1

$x+32=47\\x=47-32\\x=15$

Asa has 15 dimes and 32 quarters.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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3 years ago

A newspaper reports the median house price is $250,000. From that standard, tell what you know about housing prices.

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You know that the average house price is $250,000 dollars
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3 years ago

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

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Answer:

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Step-by-step explanation:

Given

$Area = 11000m^2$

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Required

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Since, the oil formed a circular pattern; the question will be answered using area of a circle

$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

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$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

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Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

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3 years ago

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Answer:

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So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

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