What is the slope-intercept form of an equation for a line with a y-intercept of –5 and a slope of 2?

Mathematics

1 answer:

Inga [223]2 years ago

5 0

Answer: y=2x-5. so it's 2

remember the following equation: y=mx+b.

the slope is always m, the y intercept is b.

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The acceleration y, in meters per second squared, of an object after x seconds is given by y = 7 sin (pi/4 x). During the first

Nataly_w [17]

Answer: (0, 2) and (6, 10)

Step-by-step explanation:

The acceleration is:

y = 7*sin( x*pi/4).

Over which interval is the acceleration increasing?

First, let's study the sin function:

Sin(θ) increases between -pi/2 and pi/2

Sin(θ) decreases between pi/2 and (3/2)*pi.

And so on.

Here we have:

θ = x*(pi/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = pi/2 = x*(pi/4)

x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*pi = x*(pi/4)

(3/2)*pi*(4/pi) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then

the correct option is: (0, 2) and (6, 10)

6 0

3 years ago

Divide 32 in the ratio 3:1

Igoryamba

------------------------------------------------
Ratio
------------------------------------------------
3 : 1

------------------------------------------------
Find total parts
------------------------------------------------
3 + 1 = 4

------------------------------------------------
Split the 32 according to the parts
------------------------------------------------
4 parts = 32
1 part = 32 ÷ 4
1 part = 8
3 part = 8 x 3 = 24

------------------------------------------------
Split the 32 into the ratio
------------------------------------------------
24 : 8

------------------------------------------------
Answer: 24 : 8
------------------------------------------------

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3 years ago

Elizabeth has 87.75 feet of banner paper how many banners can she make that are 11.25 feet long. explain

lana [24]

7.8 or if you are rounding it’s eight

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8 is 20% of what number

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