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masha68 [24]
3 years ago
5

When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper

ty justifies this manipulation?
8x+3y=7
4x+y=1
Mathematics
1 answer:
galben [10]3 years ago
4 0
For this case, what we are going to do is use the following property:
 Multiply an equation by a scalar.
 In this case, the scalar will be:
 k = -2
 We have then that equation 2 will be:
 k * (4x + y) = k * 1
 -2 * (4x + y) = - 2 * 1
 -8x-2y = -2
 Answer:
 The property that justifies this manipulation is:
 Multiply an equation by a scalar.
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Aloiza [94]

This function would have a maximum.

Since we are subtracting by a -4 for each increase in x, we know that the numbers will continue to go down. Given this fact, we know the number will never be higher than when we started, but the number could go infinitely low. As a result we have a maximum and no minimum.

8 0
3 years ago
Evaluate the formula V=BH/3 for B=4cm^2 and h=6 cm
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V=BH/3
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V=(24)/3
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6 0
3 years ago
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Chang made $144 for 8 hours of work at the same rate how many hours would he have to work to make 234
olganol [36]

Answer:

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Step-by-step explanation:

VE puan kazanmam gerek

3 0
3 years ago
Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she
Korolek [52]
Yvonne ran up 12 flights of stairs.

Explanation:
Understand the situation:

Yvonne ran up 1/4 of the total stairs. Afterwards, she walked the REST of the stairs, which is said to be 9 STAIRS. HOW MANY flights of stairs IN TOTAL did she run up?

When she ran the REST of the stairs, it meant she ran the other 3/4 of stairs because:
1 - 1/4 = 3/4

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HOPE THIS HELPS
-SpaceMarsh
3 0
3 years ago
a store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for 27.93 and large bags cost 66.98.w
Nonamiya [84]

Answer

Find out the ratio of price to pound for each bag.

To prove

As given

A store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for $27.93 .

7 pound = $27.93

Now find out the cost for the 1 pound.

1\ pound\ cost= \frac{27.93}{7}

1 pound cost = $3.99

As given large bags cost $66.98.

Now find out pounds in the large bags.

Let us assume that the number of pounds in the large bags be x.

Than

3.99 × x = 66.98

x = \frac{66.98}{3.99}

x = 16.8 pounds (approx)

Now find out the ratio of  price to pound for each bag.

As small bags weight = 7 pounds

Cost of the small bags = $27.93

\frac{Price\ of\ small\ bag}{Cost\ of\ the\ small\ bags} = \frac{27.93}{7}

As large bags weight = 16.8 pounds

Cost of the large bags = $66.98

\frac{Price\ of\ large\ bag}{Cost\ of\ the\ large\ bags} = \frac{66.98}{16.8}

Hence proved


7 0
3 years ago
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