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AfilCa [17]
2 years ago
5

The length of a rectangle is 8 inches more than three times the width. the perimeter is 88 inches. find the length and width.

Mathematics
1 answer:
Sav [38]2 years ago
5 0
We can say L as length and W as the width 

L= 3w + 8 

The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation... 

2(3w+8)+2w=88        Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88               Then subtract 16 from each side..
8w=72
w=9

So the width is 9, so we can substitue that into the previous equation, L = 3w+8. 

L=3(9)+8
L=27+8
L=35, W=9



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Find the slope and y-intercept for this table.​
labwork [276]

Answer:

See below:

Step-by-step explanation:

To find the slope, we use the following formula:

\frac{y_{2} - y_{1} }{x_{2} - x_{1} }

For this case, we can use (6,60) as the first set of points.

We can use (4,70) as the second set of points.

Now, we can use the formula, 70-60 is for the top of the fraction (10)

We can do 4-6 to find the bottom, which is (-2)

Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!

To find out the y intercept, it in simple words is "What is y when x is 0?".

We can do that by using the slope intercept formula: y=mx+b.

Once we insert our slope which is -2 we get: y=-2x+b

We can now substitute a point, lets use (6,60) so we can find out b.

We now get the equation: 60=-5(6)+b.

If we solve for that we get 90!

Once we input that, we get, y=-5x+90

Now we put in x as 0 and we get our y intercept as 90!

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8 0
2 years ago
What is the domain and range of the function f(x)=(1/5)^x
Luba_88 [7]

Answer:

domain: (- infinity, infinity) range:( 0, infinity)

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP!!! The data set shows the ages of people riding a bus.
labwork [276]

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

8 0
2 years ago
Help me please I’ll give a lot of points
Alenkasestr [34]

Answer:

21. B

22. D

23. C

24. y = 3x - 12

Step-by-step explanation:

21.  it has to be a positive slope since the graph shows it is increasing/positive slope. Has to be A or B. But it isn't A because where x = 1 1/2, y doesn't equal 0 like the graph shows.

22. It is D if you rewrite the equation starting with y=, so you subtract 2x on both sides to get y = -2x +6. Parallel means slopes are the same, so the slope has to be -2, which is D.

23. The only one that fits the description is C.

24.

in standard form, rearrange the equation so only y is on one side, the rest on the other.

-4x + 2y  = 2x - 24

first add 4x on both sides so -4x cancels out on the left hand side.

-4x + 4x + 2y  = 2x + 4x - 24

simplify it and get 2y = 6x - 24

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plot this as shown with arrows on lines.

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4 0
2 years ago
Fill in the y values of the t–table for the function y = RootIndex 3 StartRoot x EndRoot
bulgar [2K]

Answer:

x            y

-8          -2

-1          -1

0          0

1           1

8          2

Step-by-step explanation:

The given function is  

y=\sqrt[3]{x}

We need to find the y-values for the given t-table.

In the given table the x-values are -8, -1, 0, 1, 8.

At x=-8,

y=\sqrt[3]{-8}=-\sqrt[3]{2^3}=-2

At x=-1,

y=\sqrt[3]{-1}=-\sqrt[3]{1^3}=-1

At x=0,

y=\sqrt[3]{0}=0

At x=1,

y=\sqrt[3]{1}=\sqrt[3]{1^3}=1

At x=-8,

y=\sqrt[3]{8}=\sqrt[3]{2^3}=2

Therefore, the required table is:

x            y

-8          -2

-1         -1

0          0

1           1

8          2

8 0
3 years ago
Read 2 more answers
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