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makkiz [27]
4 years ago
11

Solve 4−|2x−1| = −3

Mathematics
1 answer:
Vanyuwa [196]4 years ago
8 0
<h3>Given</h3>

... 4 - |2x -1| = -3

<h3>Find</h3>

... x

<h3>Solution</h3>

Add |2x-1|+3

... 7 = |2x-1|

This resolves to two equations:

... -7 = 2x-1

... -6 = 2x

... -3 = x

and ...

... 7 = 2x -1

... 8 = 2x

... 4 = x

The two solutions are x = -3 and x = 4.

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An aerodynamic three-wheeled automobile (the Dart) runs on compressed natural gas stored in two cylinders in the rear of the veh
pogonyaev

Answer:

a) 7702.88 miles

b) If we drive more than 7702.88 miles per year, the dart would be more economical.

Step-by-step explanation:

Assuming a useful life of 7 years.

Let's calculate EUAC dart:

(15000)(A/P, 10%, 7) + (X/100mpg)(8)

= 15000 * 0.2054 + 0.08

= 3081.15 + 0.08X

EUAC For other automobile:

(12000)(A/P, 10%, 7) + (X/50mpg)(8)

= 12000 * 0.2054 + 0.16X

= 2464.92 + 0.16X

a) To solve for X, we have:

EUAC dart = EUAC other automobile

3081.15 + 0.08X = 2464.92 + 0.16X

0.08X - 0.16X = 2464.92 - 3081.15

-0.08X = - 616.23

X = 7702.88 miles

b) The range of annual miles driven is the Dart more economical.

EUAC dart < EUAC other automobile

3081.15 + 0.08X < 2464.92 + 0.16X

X > 7702.88 miles

If we drive more than 7702.88 miles per year, the dart would be more economical.

5 0
4 years ago
If lines joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater t
Brut [27]

Answer:

The first three, (2, 8), (3, 9) and (4, 10).

Step-by-step explanation:

The unit rate, or rate of change, is another term for the slope.

The formula for slope is

m=\frac{y_2-y_1}{x_2-x_1}.

The slope in the table would be given by

m = (22-11)/(10-5) = 11/5 = 2.2.

For the slope of the line that goes through (2, 8) and (0, 0), we have

m = (8-0)/(2-0) = 8/2 = 4.  This is greater than 2.2.

For the slope of the line that goes through (3, 9) and (0, 0), we have

m = (9-0)/(3-0) = 9/3 = 3.  This is greater than 2.2.

For the slope of the line that goes through (4, 10) and (0, 0), we have

m = (10-0)/(4-0)/ = 10/4 = 2.5.  This is greater than 2.2.

For the slope of the line that goes through (5, 8) and (0, 0), we have

m = (8-0)/(5-0) = 8/5 = 1.6.  This is not greater than 2.2.

For the slope of the line that goes through (6, 7) and (0, 0), we have

m = (7-0)/(6-0) = 7/6 = 1.16.  this is not greater than 2.2.

For the slope of the line that goes through (7, 6) and (0, 0), we have

m = (6-0)/(7-0) = 6/7 = 0.86.  This is not greater than 2.2.

7 0
4 years ago
Read 2 more answers
A balanced hanger has 4 grapefruits and 2 plums hanging from the left side. The hanger has 3 grapefruit and 5 plums hanging from
harina [27]

Answer:

4g + 2p = 3g + 5p :)

Step-by-step explanation:

Since the hanger is balanced we can say that the sum of plum and grapefruits on both sides are equal, hope this helps

6 0
3 years ago
Help me plssssssssssssss
siniylev [52]

Answer:

yes

Step-by-step explanation:

why do you need this silly boy

6 0
3 years ago
Sara can complete 3/4 of a puzzle in 7/8 of an hour. How much a puzzle can she complete in an
8090 [49]

Answer:

x = 6/7 of a puzzle

Step-by-step explanation:

Number of puzzle : time taken

= 3/4 : 7/8

How much a puzzle can she complete in an hour?

Let

x = number of puzzle to complete

Number of puzzle : time taken

= x : 1

Equate both ratios to solve for x

3/4 : 7/8 = x : 1

3/4 ÷ 7/8 = x / 1

3/4 × 8/7 = x / 1

24/28 = x / 1

Cross product

24 * 1 = 28 * x

24 = 28x

x = 24/28

= 6/7

x = 6/7 of a puzzle

7 0
3 years ago
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