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Vaselesa [24]
2 years ago
15

A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?

Mathematics
1 answer:
creativ13 [48]2 years ago
4 0

Answer:

4x -y = 5

And if we rewrite this expression we got:

y= 4x -5

If the system have just one solution then we need the slope different and for this reason we can discard the options:

y = 4x-5

-2y = -8x - 10 equivalent to y =4x+5

2y = 8x - 10  equivalent to y = 4x -5

And then the correct answer would be:

y=-4x + 5

Step-by-step explanation:

For this case we have the following equation given:

4x -y = 5

And if we rewrite this expression we got:

y= 4x -5

If the system have just one solution then we need the slope different and for this reason we can discard the options:

y = 4x-5

-2y = -8x - 10 equivalent to y =4x+5

2y = 8x - 10  equivalent to y = 4x -5

And then the correct answer would be:

y=-4x + 5

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Answer: <u>Last option</u>

Z_ {13} = 0.5,\ Z_ {17} = 2.5

Step-by-step explanation:

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

so  

Z = \frac{x- \mu}{\sigma}.

Where x is the value of the data, μ is the mean and σ is the standard deviation

In this case :

μ = 12 $/h

\sigma = 2 $/h

We need to calculate the Z-scores for x = 17 and x = 13

Then for x = 17:

Z_{17} = \frac{17-12}{2}.

Z_{17} = 2.5

Then for x = 13:

Z_{13} = \frac{13-12}{2}.

Z_{13} = 0.5

Therefore the answer is:

Z_ {13} = 0.5,\ Z_ {17} = 2.5

8 0
2 years ago
Read 2 more answers
Carl has new bottle of laundry detergent he uses 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon
oee [108]

Answer:

-1.1 cups

Step-by-step explanation:

To find out how much was spent on the main bottle of detergent, we must add the expenses that were incurred in the wash.

The statement tells us that first there is an expense of 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon another load, therefore this means that the change in the bottle would be:

(-0.4) + (-0.7) = -0.4 - 0.7 = -1.1 cups.

In other words, the main bottle would have 1.1 cups less, that is, -1.1 cups.

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Step-by-step explanation:

2LW=2(38*19)=1,444

2LH=2(38*19)=1,444

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2 years ago
Which equation has only one solution?
notka56 [123]
Absolute value cannot be less than 0
Solve Absolute Value.<span><span>|<span>x−5</span>|</span>=<span>−1</span></span>No solutions. 

<span>|<span><span>−6</span>−<span>2x</span></span>|</span>=8 
<span>x=<span>−<span><span>7<span> or </span></span>x</span></span></span>=<span>1
</span>
<span>|<span><span>5x</span>+10</span>|</span>=10
<span>x=<span><span>0<span> or </span></span>x</span></span>=<span>−4</span>

<span>|<span><span>−<span>6x</span></span>+3</span>|</span>=<span>0 
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So your answer is D) |–6x + 3| = 0
6 0
2 years ago
In a basketball game, the two teams scored a total of 210 points. The home teams won by 20 points. How many did the home team sc
olasank [31]
They won with a total of 115 you subtract 20 from 210 and get 190 then divided by 2 you should get  95 then add 20 then you get 115
4 0
2 years ago
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