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3 years ago

The value of y varies directly with x. When y=75,x=1/2. What is the value of y when x is 2 1/4?

1 answer:

5 0

Direct variation means y=kx (inverse variation is yx=k or y=k/x)

so we are given that:

75=k/2, so k=150 which means:

y=150x now

y(2.25)=150(2.25)=337.5

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If the common difference of an ap is 3/2 and its 20 th term 35×1/2 find first term and 15 th term

Lady bird [3.3K]

Answer:

Step-by-step explanation:

d = 3/2

a₂₀ = a₁+19d

35/2 = a₁ + 19×3/2

a₁ = 35/2 - 19×3/2 = -11

a₁₅ = a₁+14d = -11 + 14×3/2 = 10

4 0

3 years ago

Can someone please explain?

AlladinOne [14]

<h2>Hello!</h2>

The answer is:

The correct option is the first option:

$y=-4x+64$

To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

$y=mx+b$

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

$m=\frac{ChangeInY}{ChangeInX}$

Which is for this case:

$m=\frac{64}{16}=4$

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

$m=-4$

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at: $y=64$

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

$y=mx+b=-4x+64\\y=-4x+64$

So, the correct option is the first option:

$y=-4x+64$

Have a nice day!

4 0

3 years ago

An arc on a circle measures 250 degrees. Within range which range is the radian measure of the central angle?

blondinia [14]

If the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.

Given that the arc of a circle measures 250 degrees.

We are required to find the range of the central angle.

Range of a variable exhibits the lower value and highest value in which the value of particular variable exists. It can be find of a function.

We have 250 degrees which belongs to the third quadrant.

If 2π=360

x=250

x=250*2π/360

=1.39 π radians

Then the radian measure of the central angle is 1.39π radians.

Hence if the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.

Learn more about range at brainly.com/question/26098895

#SPJ1

8 0

2 years ago

A worker's in a sliver mine descends 57 feet. Use an integer to represent to cahnge the worker's position