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Alexxandr [17]
3 years ago
15

Write as one inequality with an absolute value.

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
3|x-2|+1 = 16 is an inequality with an absolute value.
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on monday, roger drove to work in 20 minutes. on tuesday, he averaged 15 miles per hour more, and it took him 6 minutes less to
ch4aika [34]
Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles

Therfore he travels an average of 11.7 miles to work.
7 0
3 years ago
Write an equation in standard form of the line that contains the point (-1,2) amd is perpendicular to y = 3x - 1
Strike441 [17]
Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is -\frac{1}{3} x

So now we have, 
y=- \frac{1}{3} x+b

To find b, we use the point that the line passes through and substitute it to the y and x values.

2=- \frac{1}{3} (-1)+b

which would give us b=5/3

Therefore, the equation of the line is 
y=- \frac{1}{3} x+ \frac{5}{3}
7 0
2 years ago
Evaluate 3x + 4y when x = 2 and y = 5
RideAnS [48]

Answer:

26

Step-by-step explanation:

3*2+4*5=6+20=26

3 0
2 years ago
Read 2 more answers
What is the integral of (x + 1)(3x + 2) from -1 to 1?
Luda [366]

Answer:

3x²+5x+2

Step-by-step explanation:

(x+1)(3x+2)

3x²+2x+3x+2

3x²+5x+2

---

hope it helps

8 0
2 years ago
The length of a rectangle is 2 m longer than its width. if the perimeter of the rectangle is 40 m , find its area.
vredina [299]
L=w+2 and 2w+2l=40

Substitute length for w+2 in perimeter formula.

2w+2(w+2)=40
2w+2w+4=40
4w+4=40
4w=36
w=9

l=w+2
l=9+2
l=11

a=lw=11*9=99 meters
4 0
3 years ago
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