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3 years ago

Which linear equations have an infinite number of solutions? Check all that apply.

Mathematics

2 answers:

Alika [10]3 years ago

8 0

The answer is A and C. They both have infinite solutions

Snowcat [4.5K]3 years ago

4 0

we know that

In a linear equation if the left side is equal to the right side

then

the system has an infinite number of solutions

we're going to verify every case

case A)

$(x-\ ) =(x-\ )$

In this case the left side is equal to the right side

therefore

the system case A) has an infinite number of solutions

case B)

$8(x+2)=5x-14$

$8x+16=5x-14$

In this case the left side is not equal to the right side

therefore

the system case B) does not have an infinite number of solutions

case C)

$12.3x-18=3(-6+4.1x)$

$12.3x-18=-18+12.3x$

In this case the left side is equal to the right side

therefore

the system case C) has an infinite number of solutions

case D)

$(6x+10)=7(x-2)$

$(6x+10)=(7x-14)$

In this case the left side is not equal to the right side

therefore

the system case D) does not have an infinite number of solutions

case E)

$4.2x-3.5=2.1(5x+8)$

$4.2x-3.5=10.5x+16.2$

In this case the left side is not equal to the right side

therefore

the system case E) does not have an infinite number of solutions

therefore

the answer is

$(x-\ ) =(x-\ )$

$12.3x-18=3(-6+4.1x)$

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Read 2 more answers

The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will giv

Tatiana [17]

Answer:

C, D and E

Step-by-step explanation:

Given

Represent solid beads with S and clear beads with C

So:

$S:C = 8:20$

Required

Select operations that give an equivalent ratio

First, we need to get the unit ratio

$S:C = 8:20$

Divide through by 4

$S:C = 2:5$ -- This means that, after any operation. The equivalent ratio must be 2: 5

Option A: Add 2 to S and 2 to C

$S:C = 8:20$

Perform the operation

$S:C = 8 + 2 : 20 + 2$

$S:C = 10 : 22$

Divide through by 2

$S:C = 5:11$

Option B: Subtract 8 from S and 6 from C

$S:C = 8:20$

Perform the operation

$S:C = 8 - 8 : 20 - 6$

$S:C = 0 : 14$

Option C: Multiply S and C by 2

$S:C = 8:20$

Perform the operation

$S:C = 8*2:20*2$

$S:C = 16:40$

Divide through by 8

$S:C = 2:5$

Option D: Divide S and C by 4

$S:C = 8:20$

Perform the operation

$S:C = 8/2:20/4$

$S:C = 2:5$

Option E: Multiply S and C by 18

$S:C = 8:20$

Perform the operation

$S:C = 8*18:20*18$

$S:C = 144:360$

Divide through by 72

$S:C = 144/72:360/72$

$S:C = 2:5$

From the calculations above, options C, D and E gave an equivalent of 2:5.

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3 years ago

H(x)=2x-6 find the value. -2[h(3)]

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Answer:

-2[h(3)] = 0

Step-by-step explanation:

Step 1: Define

h(x) = 2x - 6

Step 2: Find h(3)

h(3) = 2(3) - 6

h(3) = 6 - 6

h(3) = 0

Step 3: Find -2[h(3)]

-2(0)

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4 years ago

The Martinez family walked three over five of a mile in three over eight of an hour. What is their unit rate in miles per hour?

Vikki [24]

Answer:

three-fifths over three-eights equals one and three-fifths miles per hour

Step-by-step explanation:

The martinez family walked three over five of a mile; this means they walked 3/5 of a mile.
They walked such distance in in three over eight of an hour, this means 3/8 of an hour.

To find the rate in miles per hour, we have to divide 3/5 divided 3/8.

$\frac{3}{5} /\frac{3}{8}$

TO make division of fraction, we must invert the second fraction and multiply them:

$\frac{3}{5} *\frac{8}{3} =\frac{8}{5}$

The ratio is 8/5 miles per hour. In the answer given it is expressed as a mixed numer 1 3/5 that is equal to 8/5.

To transform a fraction to a mixed number, you have to divide numerator by denominator. Explanation is in figure attached.

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