−2 is less than or equal to w , and 8 is greater than or equal to w Use w only once in your inequality.

PLEASE HELP

Lemur [1.5K]

1. y=6

2. y=-12

Step-by-step explanation:

<u>1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.</u>

It is given that

y varies inversely as x

IT will be written as:

y∝1/x

Removing the proportionality symbol

y=k/x

Given

y=3 , x=-2

Putting the values

3=k/-2

k=3*-2 = -6

The equation will be:

y=-6/x

So,

When x=-1

$y=\frac{-6}{-1}\\y=6$

<u>2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4</u>

y is directly proportional to x

y∝x

y=kx

Given

y=15, x=-3

Putting the values

$y=kx\\15=-3k\\k=\frac{15}{-3}\\k=-5\\The\ equation\ will\ be:\\y=-3xNow,\\x=4\\y=-3(4)\\y=-12$

Hence,

1. y=6

2. y=-12

Keywords: Proportion, Variation

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

I have a procrastination problem so um yay points for free #momboss

Yuki888 [10]

Oh well thank you I appreciate it

3 0

3 years ago

Read 2 more answers

Just 13 it is algebra word problems

cupoosta [38]

Area is length times width in this scenario. The length is going to increase by 3; this can be expressed by the term L+3. The width is 5, but the total area is going to be 90. Your expression should look like this:
5(L+3)=90
First, multiply the 5 on the left side of the equation.
5L+15=90
Subtract 15 from both sides to get the coefficient and the variable by itself.
5L=75
Divide by 5 on both sides to get the variable alone.
L=15
You're not done yet. Remember, you must add 3 back into L to get the new length. The original garden would have been 15 meters in length, but the new length of the new garden will be 18 meters.
To check this, use the formula for area.
18(5)=90
90=90

7 0

3 years ago

Graph the equation by plotting three points. if all three are correct, the line will appear.

Marina86 [1]

Answer:

(x, y) = (-1, 4), (2, -1), (5, -6)

Step-by-step explanation:

You can choose any value you like for either x or y, then solve for the other value. I like to plot points with integer coefficients, so I would look for sets of those.

The nature of this equation is that it will have integer solutions with x-values spaced 3 apart and y-values spaced 5 apart. (The spacing of each corresponds to the coefficient of the other.) So, the trick is to find an x-value that gives an integer solution for y. (You will need to try at most 3 consecutive integers.)

Solving the equation for y, we get ...

y = -5/3x +7/3

Right away, we know that x=0 will not give an integer solution for y. Nor does x=1. The third consecutive integer that is easy to try is x = -1, so ...

y = (-5/3)(-1) +7/3 = (5+7)/3 = 4 . . . . an integer value for y

Our first point is then (x, y) = (-1, 4).

Since the slope is negative, we know that increasing x will decrease y. Thus we can simply add (3, -5) to any point to get another point on the line.

Two more points on the line are ...

(-1, 4) +(3, -5) = (2, -1)

(2, -1) +(3, -5) = (5, -6)

Three integer-valued points on this line are (-1, 4), (2, -1), (5, -6).

5 0

4 years ago

An automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. The best met

Alik [6]

Data collection involving the types of product-related problems a manufacturer's customers are experiencing is more suitable to make use of qualitative data collection. This is because the type of data you are interested in is more subjective and open-ended. The best method to gather the data is through survey/questionnaire.

4 0

3 years ago