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Nutka1998 [239]
1 year ago
15

Y=–6x+2 –12x – 2y=–4 How many solutions does this linear system have?

Mathematics
1 answer:
DerKrebs [107]1 year ago
3 0

The linear equation y = -6x + 2; -12x - 2y = -4 has no solution

<h3>Linear equation</h3>

y = -6x + 2

-12x - 2y = -4

  • Substitute y = -6x + 2 into (2)

-12x - 2y = -4

-12x - 2(-6x + 2) = -4

-12x + 12x -4 = -4

-12x + 12x = - 4 + 4

0 = 0

  • Solve for x

y = -6x + 2

y - 2 = -6x

x = (y - 2) / -6

  • Substitute into (2)

-12x - 2y = -4

-12(y- 2)/ 6 - 2y = -4

(-12y + 24) / 6 - 2y = -4

-2y + 4 - 2y = 4

0 = 0

Learn more about linear equation:

brainly.com/question/4074386

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The cost of renting a car is $ 30 /week plus $ 0.25 /mi travelled during that week. An equation to represent the cost would be y
julsineya [31]

Answer:

Amount charged for 35 miles is $ 38.75

If amount charged is $ 42.50 then distance travelled is 50 miles

Step-by-step explanation:

Equation that represents the cost is y=30+0.25x

Here,

x denotes the number of miles

$ 30 is the amount of rent per week

$ 0.25 is amount charged for 1 mi

To find cost if distance travelled is 35 miles, put x=35 in y=30+0.25x

Cost (y) = 30+0.25(35)=\$38.75

So,

Amount charged for 35 miles is $ 38.75

To find number of miles for which amount charged is $ 42.50, put y=42.50 in y=30+0.25x

42.50=30+0.25x\\42.50-30=0.25x\\12.5=0.25x\\x=\frac{12.5}{0.25} \\x=50

So,

if amount charged is $ 42.50 then distance travelled is 50 miles.

3 0
3 years ago
A. equals 2<br><br> B. does not exist<br><br> C. equals 0<br><br> D. equals 1
insens350 [35]

The limit of f(x) as x goes to 2 is given by:

C. 0.

<h3>What is a limit?</h3>

A limit is given by the value of function f(x) as x tends to a value a, that is, we have to look to the left of x = a and to the right of x = a, and if these values are equal, this is the limit of the function.

In this problem, we have that:

  • To the left of x = 2, f(x) approaches 0.
  • To the right of x = 2, f(x) approaches 0.

Since the lateral limits are equal, the limit of the function as x approaches 2 is of 0 and option C is correct.

More can be learned about limits at brainly.com/question/26270080

#SPJ1

6 0
1 year ago
A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all w
bezimeni [28]

The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

<h3>How to explain the information?</h3>

We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)

The coordinate for the point M:

x = (1+50)/6 = 51/6

y = (-2+15)/6 =  13/6

Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

Learn more about the segment here:

brainly.com/question/2437195

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6 0
2 years ago
On a map 0.75 inch represents 80 miles. Two cities that are 1025 miles apart will be how far apart on a map round to nearest ten
icang [17]

The cities are 9.6 inches apart on map.

Step-by-step explanation:

Given,

80 miles in actual = 0.75 inch

1 mile = \frac{0.75}{80}\ inch

Distance between two cities = 1025 miles

1025 miles on map = 1025*\frac{0.75}{80}\\

1025\ miles\ on\ map=\frac{768.75}{80}\\\\1025\ miles\ on\ map=9.6\ inches

The cities are 9.6 inches apart on map.

Keywords: distance, multiplication

Learn more about distance at:

  • brainly.com/question/12613605
  • brainly.com/question/12700460

#LearnwithBrainly

4 0
3 years ago
Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither P(-3,14) q(2,-1) r(4,8) s(-2,-10)
Vlad1618 [11]

Answer:

Neither

Step-by-step explanation:

The slope of PQ is -3.

The slope of RS is 3.

Parallel lines have the same slope. The slopes for perpendicular lines are the opposite of the reciprocal. PQ and RS are intersecting lines, but not parallel or perpendicular.

4 0
3 years ago
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