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bezimeni [28]
2 years ago
8

You and your friend race from point A to point C. You run from A to B and then from B to C. Your friend runs from A to D and the

n from D to C. You run at an average rate of 7.8 miles per hour and your friend runs at an average rate of 8.1 miles per hour. Is it possible to determine who wins the race?
Mathematics
1 answer:
beks73 [17]2 years ago
4 0

Answer:

  • Friend wins

Step-by-step explanation:

As per diagram, the distance AB + BC is same as AD + DC

Since the distance is same for both, the friend will win due to running at greater speed

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Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x )
Genrish500 [490]

Answer:

Step-by-step explanation:

y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)

3 0
3 years ago
The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?
Triss [41]

Answer:

x^2+ 18x -130=0

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

Area = Length * Width

So:

A_1 = (x + 6) * (3x - 2)

The smaller rectangle

A_2 = (x - 1) * (2x)

The difference between this areas give the area of the shaded region.

So:

A_1 - A_1 = 118

(x+6)*(3x-2) - (x-1)*2x = 118

Open brackets

3x^2 - 2x + 18x -12 -2x^2 +2x = 118

Collect like terms

3x^2 -2x^2- 2x +2x+ 18x -12   - 118=0

x^2+ 18x -130=0

<em>The above equation can be used to solve for x</em>

4 0
3 years ago
There are three different recipes. Two taste the same.
Sauron [17]

Answer:

Mixture 1 and 2

Step-by-step explanation:

4/6 = 2/3

6/9= 2/3

9/12 = 3/4 NOT THE SAME

5 0
3 years ago
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
inessss [21]

Answer: C. 113.1 cubic centimeters

Step-by-step explanation:

Volume of a sphere= \frac{4}{3}(3.14)(r)^3

Since we know r then just plug in to get 4/3(3.14)(3)^3= 113.1

So the answer is C

4 0
3 years ago
Read 2 more answers
Help me plz???!!!!!?!?!?
zavuch27 [327]

Answer:

H

Step-by-step explanation:

use slope of -2/3 and point (-4.5, 10) as input into the slope-intercept form of a line, which is y = mx + b

10 = -2/3(-9/2) + b

10 = 3 + b

7 = b

y = -2/3x + 7

7 0
3 years ago
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