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kvv77 [185]
4 years ago
9

What is parallel to y=x-4

Mathematics
2 answers:
Marrrta [24]4 years ago
8 0
Y=x is also parallel to y=x-4 :)<span />
Strike441 [17]4 years ago
6 0
Y= x + n

n = any possible real number like 3 and -8
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System practice problems
nydimaria [60]

Looking at the first system of equations,

16x - 10y = 10

-8x - 6y = 6

If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.

-8x - 6y = 6

⇒   2 (-8x - 6y) = 2 (6)

⇒   -16x - 12y = 12

By combining this new equation with the first one, we can eliminate x and solve for y :

(16x - 10y) + (-16x - 12y) = 10 + 12

⇒   -22y = 22

⇒   y = -1

Then we just solve for x by replacing y in either equation.

16x - 10y = 10

⇒   16x - 10 (-1) = 10

⇒   16x + 10 = 10

⇒   16x = 0

⇒   x = 0

The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.

If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:

16x - 10y = 10

⇒   3 (16x - 10y) = 3 (10)

⇒   48x - 30y = 30

And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):

-8x - 6y = 6

⇒   -5 (-8x - 6y) = -5 (6)

⇒   40x + 30y = -30

Now combining the two scaled equations gives

(48x - 30y) + (40x + 30y) = 30 + (-30)

⇒   88x = 0

⇒   x = 0

We then solve for y :

16x - 10y = 10

⇒   -10y = 10

⇒   y = -1

so we end up with the same solution as before.

8 0
3 years ago
What is the reciprocal of 31/2
blagie [28]
The reciprocal of a number is the number that the first number will multiply with that equals one.
So, for instance, the reciprocal of 3 is 1/3.
Since we can write 3 as 3/1, we can see it's simply flipping the numerator and denominator to find the reciprocal.
So, flipping numerator and denominator, the reciprocal of 31/2 is 2/31.
8 0
3 years ago
Chucky grabbed 11 1111 items in the grocery store that each had a different price and had a mean cost of about $ 4.44 $4.44dolla
maria [59]

Question:

Chucky grabbed 11 items in the grocery store that each had a different price and had a mean cost of about $4.44. On his way to the register, he gave in to an impulse to add a 12th item: an entire wheel of cheese that cost $39.99.

How will adding the wheel of cheese affect the mean and median?

Answer:

There will be a big difference in the mean when the new item is added

Step-by-step explanation:

Given

Items = 11

Mean = \$4.44

Before we solve further, we need to first calculate the total amount of the 11 items.

Mean = \frac{Total}{Items}

Make Total the Subject of formula

Total = Mean * Items

Total = \$4.44 * 11

Total = \$48.84

When the 12th item of $39.99 is added, the new mean becomes.

New\ Mean = \frac{Total + \$39.99}{11 + 1}

New\ Mean = \frac{\$48.84 + \$39.99}{11 + 1}

New\ Mean = \frac{\$88.83}{12}

New\ Mean = \$7.4025

By comparing this the old mean, we can see a huge increment between $4.44 and $7.4025

This means that there will be a big difference in the mean when the new item is added.

For the Median:

The old mean shows that the prices of the 11 items is within a small range from $4.44.

So, when the new item is added the median will only change a little bit.

In other words, the median value will only change a little bit.

7 0
3 years ago
Read 2 more answers
The value of x satisfying both the equations 4x – 5 = y and 2x – y = 3, when y = -1 is
schepotkina [342]

Answer:

x = 1

Step-by-step explanation:

4x-5=y

4x-5= -1

4x = -1+5

4x=4

x=1

2x-y=3

2x-(-1)=3

2x+1=3

2x= 3-1

2x= 2

x=1

since the two answers for x are the same therefore:

x = 1

4 0
4 years ago
Which is the graph of g(x)?
lbvjy [14]

Answer:

Its B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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