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3 years ago

Write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is <u>y=-2x+7</u>

Hope this helps!

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If a store had 330 video games, and 47% of the games were for Xbox, and 53% were for ps4, then how many xbox and ps4 games are i

Bingel [31]

Answer:

The number of games for Xbox is about 155

The number of games for PS4 is about 175

Step-by-step explanation:

Let us find the numbers of games for Xbox and for PS4 game

∵ There are 330 video games in the store

∵ 47% of them were for Xbox

- Multiply 47% by 330

∴ The number of games for Xbox = 47% × 330

∵ 47% = $\frac{47}{100}$

∴ The number of games for Xbox = $\frac{47}{100}$ × 330

∴ The number of games for Xbox = 155. 1

∴ The number of games for Xbox ≅ 155

∵ 53% of them were for PS4

- Multiply 53% by 330

∴ The number of games for PS4 = 53% × 330

∵ 53% = $\frac{53}{100}$

∴ The number of games for PS4 = $\frac{53}{100}$ × 330

∴ The number of games for PS4 = 174.9

∴ The number of games for PS4 ≅ 175

4 0

3 years ago

Assume that your present job pays a monthly gross salary of $1,560. You are offered a new position that pays $8.60 per hour with

motikmotik

Answer:

There are 4 weeks in a month and 40 working hours in a week

Since the $8.60 per hour, the gross monthly salary for your new position = 8.60*40*4 = $1,376

Your gross monthly salary at present job = $1,560

So the additional amount that you need to earn at your new position = 1,560-1,376 = $184

The hourly wage for addtional hours more than 40 hours at the new position = 1 1/2 * 8.60 = 1.5*8.60 = $12.90

So, number of hours that you need to work extra = 184/12.90 = 14.26 hours per month

So, number of hours that you need to work extra per week = 14.26/4 = 3.566 hours or 3.57 hours (Rounded to 2 decimals)

Step-by-step explanation:

4 0

3 years ago

Dying for help please failing mathh

JulsSmile [24]

You might want to stick to at most five questions at once, makes it easier for the rest of us. :)

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21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
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Need clarification on anything?

4 0

3 years ago

Read 2 more answers

Our answer should be a complex number in the form a +bi where a and b are real numbers.

Otrada [13]

Answer:

16 +88i

Step-by-step explanation:

8 x (11i + 2 ) =

Distribute

8*11i + 8*2

88i +16

Writing in the proper form

16 +88i

6 0

3 years ago

You serve a volleyball with a mass of 2 kg. The ball leaves your hand with a speed of 30 m/s. The ball has kinetic energy. Calcu

motikmotik

Answer:

900 j

Step-by-step explanation:

KE=1/2mv^2

so:

1/2x(2kg)x(30m/s)^2

is 900 joules. :)

6 0

3 years ago