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Elenna [48]
3 years ago
13

A function h(x)=-5/7x-3. By how much h(x) will decrease/increase, if x decreases by 21.

Mathematics
1 answer:
Fofino [41]3 years ago
7 0

Answer:

  increase by 15

Step-by-step explanation:

We know the rate of change of h(x) is given by the coefficient of x, -5/7. This means any change in x will be reflected as a change in h(x) by -5/7 times the amount of the change.

Here, we're talking about a change in x of -21, so the change in h(x) will be ...

  (-5/7)·(-21) = 5·(21/7) = 15

The positive sign means the value of h(x) will increase by 15.

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The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le
faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0
3 years ago
Round 519.6597 to the nearest tenth place
EleoNora [17]
To round to the nearest tenth place you are going to round the last two digits of that, you should get 519.7
8 0
3 years ago
Janet sees a 35% off tag on a $70 hand bag. Janet has $60. If tax is 5%, will she
Natasha_Volkova [10]

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4 0
2 years ago
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Artyom0805 [142]
Hack: we know that 25%=1/4
1/4 of 5000=5000/4=1250

answer is $1250

but the right way is
25%=25/100=1/4 then the math bit then answer is $1250
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3 different groups of 2
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