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diamong [38]
3 years ago
12

Choose all of the values for x that are solutions to x < -2.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0
I think the answer is E
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Please help I’m struggling so bad
Anastaziya [24]

Answer:

a) (100,70)

b) the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

d) this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

(I'm sorry if I got anything wrong, but I hope this helps!)

Step-by-step explanation:

a) the point of intersection is where the two lines meet

this is at (100, 70)

b) in the context of this problem, the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

*this is because the slope of a line can be found by rise/run, and the y-intercept can be found by where it is located on the y-axis, since x would be 0.)

(for example, for Auto-Loans, the slope would be rise/run which in this case would be 10/20 or 1/2. the y-intercept is 20 since the y is 20 when it is on the y-axis).

d) if a third company's line starts at (0,0) and has the same point of intersection, this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

3 0
3 years ago
Seventeen members of Tim's family are going to an amusement park during the week of their family reunion. Adult tickets cost $34
baherus [9]

Answer:

c.

Step-by-step explanation:

Let x be the number of adults in Tim's family. Then (17 - x) is the number of children in Tim's family.

We have $34x + $31.5(17 - x) = $558.

$34x + $31.5(17 - x) = $558

$34x + $535.5 - $31.5x = $558

$2.5x = $22.5

x = 9

Hence the answer is c.

7 0
3 years ago
A phone company offers two monthly plans. Plan A cost $23 plus an aditional $0.10 for each minute of calls. plan B cost $19 plus
PolarNik [594]

Answer:

x=100

Step-by-step explanation:

23+.10x=19+.14x

God bless!

6 0
3 years ago
Find the equation of the line passing through the points 7,2 and 9,1
bija089 [108]

9514 1404 393

Answer:

  y = -1/2x +11/2

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(9 -7) = -1/2

The y-intercept is ...

  b = y -mx

  b = 2 -(-1/2)(7) = 11/2

Then the slope-intercept equation is ...

  y = -1/2x +11/2

_____

<em>Alternative solution</em>

A general form equation for the line can be ...

  (y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0

  (2 -1)(x -7) -(7 -9)(y -2) = 0

  x-7 +2y -4 = 0

  x +2y -11 = 0 . . . . . general form equation

  x +2y = 11 . . . . . . . standard form equation

Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.

5 0
3 years ago
Help help help help plz
prisoha [69]

Answer:

35

Step-by-step explanation:

4 0
3 years ago
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