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Vlad1618 [11]
3 years ago
9

On monday, you run on a treadmill for 1/2 hour at x miiles per hour. On tuesday, you walk the same distance on a treadmill, but

2 MPH slower, and it takes you 3/4 hour. How many miles did you run on monday?
Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:3

 miles run on Monday

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
ddd [48]

Answer:

f'(x) = 4x^2 - 3 for x \le -3

Step-by-step explanation:

See attachment for proper question

Given

f(x) = -\frac{1}{2}\sqrt{x + 3}

For

x \ge -3

Required

Determine the inverse function

f(x) = -\frac{1}{2}\sqrt{x + 3}

Replace f(x) with y

y = -\frac{1}{2}\sqrt{x + 3}

Swap the positions of x and y

x = -\frac{1}{2}\sqrt{y + 3}

Multiply both sides by -2

-2 * x =-2 *  -\frac{1}{2}\sqrt{y + 3}

-2x =\sqrt{y + 3}

Square both sides

(-2x)^2 =(\sqrt{y + 3})^2

4x^2 =y + 3

Make y the subject

y = 4x^2 - 3

The inverse has been solved. So, we need to replace y with f'(x)

f'(x) = 4x^2 - 3

Next, is to determine the interval

x \ge -3

Change inequality to \le

x \le -3

Hence, the inverse function is:

f'(x) = 4x^2 - 3 for x \le -3

7 0
3 years ago
a car is traveling with a velocity of 40 m/s and has a mass of 1120 kg. the car has how much energy?​
erica [24]

Answer:

28

Step-by-step explanation:

i got my answer by dividing my answer and i got 28

7 0
3 years ago
Pls help, and explain. I will give brainliest
-BARSIC- [3]

Answer:

Nicole should take 13 1/8 cups of snack mix.

Step-by-step explanation:

If a serving size is 7/8 and Nicole wants to take 15 serving sizes (15 7/8's), then we must multiply 7/8 by 15:

15 × 7/8

Write 15 over 1 (15 = 15/1) to make the calculations easier:

15/1 × 7/8

Multiply the numerators and denominators separately:

15 × 7 / 1 × 8

105 / 8

Instructions don't say you have to do this but I will convert this improper fraction into a mixed number:

105/8 = 13 1/8

5 0
3 years ago
Write the equation of a line with a slope of -1 passing through the point (0,5)
elixir [45]
The\ slope-intercept\ form\ of\ the\ line:y=mx+b\\\\m-the\ slope\\b-y-intercept\\\\m=-1;\ (0;\ 5)\to b=5\\\\Answer:\boxed{y=-x+5}
8 0
3 years ago
Simplify the expression 11+2/3(15-21a)
Delvig [45]

Answer:

21-14a

Step-by-step explanation:

You have to distribute the (2/3) into the (15-21a) then add it to the 11.  So after distributing the (2/3) into the (15-21a) is (10-14a).  Then add that to the 11

7 0
3 years ago
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