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irakobra [83]
3 years ago
9

The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

A or the top option

Step-by-step explanation:

I used process of elimination

B simply does not work because in order for 4 to be subtracted by another number to equal 18, that number (width) would have to be negative

C also isn't correct since if it was solved out, we would add four to both sides, making the left side equal to w/2 + 4 which isn't what we want because the length is 4 shorter, not longer

D can be dealt with in the same way, by adding w/2 on both sides, making the left side 4 + w/2, the same as the previous option.

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Which function is increasing?
SCORPION-xisa [38]

The only increasing function is the last option:

f(x) = 5^x

<h3>Which function is increasing?</h3>

Here we only need to see that, is as x increases also do f(x). Then the function will be increasing.

The cases for exponential functions is actually more trivial than that.

  • If the base is between zero and 1, then the function is decreasing.
  • If the base is larger than 1, then the function is increasing.

In the given options there is only one function with a base larger than 1, which is the last option:

f(x) = 5^x

That is the correct option.

If you want to learn more about exponential functions:

brainly.com/question/11464095

#SPJ1

3 0
2 years ago
DE=5x+6, AC=12x+8. What is the length of AC?
Katarina [22]

Answer:

AC = 32 units

Step-by-step explanation:

It looks like DE is half of AC, so to find the length of AC you would multiply the length of DE by 2.

DE = 5x + 6, so 2(5x + 6) = AC.

Distribute the 2 inside the parentheses.

  • 10x + 12

Now make this value equal to the expression standing for AC, 12x + 8.

  • 10x + 12 = 12x + 8

Subtract 10x from both sides of the equation.

  • 12 = 2x + 8

Subtract 8 from both sides of the equation.

  • 4 = 2x

Divide both sides by 2 to solve for x.

  • x = 2

Take this value of x and substitute it into the expression for the length of AC.

  • 12(2) + 8

Multiply 12 and 2 together.

  • 24 + 8

Add 24 and 8.

  • 32

AC = 32 units

7 0
3 years ago
Read 2 more answers
Divide 72k in a ratio of 1:3:5
larisa [96]
1:3:5
firstly u need to find out how much one will get so u will add all the ratios 1:3:5 and divide by 72k(72000) so you will get 8000
therefore 1 will get 8000
3 will get 8000 multiply by 3 =24000
5 will get 8000 multiply by 5 = 40000
do you understand......if you need any more help ...feel free!!!!
6 0
3 years ago
A survey of a local high school asked students to name their favorite subject. One out of every 12 students said that their favo
notka56 [123]

Answer:

408

Step-by-step explanation:

You would set up a proportion of 1/12 = 34/x. You would do the butterfly method and get 1x=408. Then divide 408 by 1 to get 408.

3 0
3 years ago
Read 2 more answers
All I've found is 1 but how do I work that out properly beaides guess and check​
BaLLatris [955]

Answer:

1

Step-by-step explanation:

(1-x)/x=0

or, 1-x=0

or, -x=-1

or, x=1

5 0
3 years ago
Read 2 more answers
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