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Orlov [11]
2 years ago
7

Y-1/4x=-1 y-2=4x one solution, no solution or infinite solution?

Mathematics
1 answer:
alexandr1967 [171]2 years ago
7 0

Answer:

One solution

Step-by-step explanation:

To start, let's simplify the equations to slope-intercept form

y - 1/4x = =1

  +1/4x     +1/4x

y           = 1/4x - 1

y - 2 = 4x

  +2          +2

y       = 4x + 2

As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.

Feel free to ask me any questions in the comments! :D

You might be interested in
X over 3 equals 1 over 4. how do i solve this in algebra? its solving one-step equations.
Snezhnost [94]

Cross multiply  X×4=3×1 4x=3 X= 3/4

6 0
3 years ago
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
3 0
3 years ago
FInd mPQ <br> Geometry question, circles, arc length, chord length,
Fed [463]

Answer:

\text{B. }26}

Step-by-step explanation:

Since \overline{PN} and \overline{PQ} are equal, we can set them equal to each other:

7x+5=10x-4,\\9=3x,\\x=3

Substitute x=3 to solve for \overline{PQ}:

\overline{PQ}=10(3)-4=\boxed{\text{B. }26}}

3 0
3 years ago
How long will it take for an airplane that averages 95 miles an hour to fly 1,710 miles?
zysi [14]
The correct answer is 18 hope that helped♥
5 0
2 years ago
The figure below shows a shaded rectangular region inside a large rectangle:
pshichka [43]

Answer:

b. 58%

Step-by-step explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in)   Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in)    Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.

5 0
3 years ago
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