All categories

2 years ago

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

Mathematics

2 answers:

Alika [10]2 years ago

8 0

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

Snowcat [4.5K]2 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

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

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

You might be interested in

Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s

Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

sides and including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅

2 corresponding angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

angles and one side in the 2ndΔ

* Lets solve the problem

- In 2 Δs ADC and EBC

∵ ∠ACE is a common angle in the two triangles ⇒ given

∵ ∠CAD ≅ ∠CEB ⇒ because they marked with the same symbol

∵ DC ≅ BC ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles

and one side in Δ EBC

∴ Triangles ADC and EBC congruent by AAS

* Yes Triangles ADC and EBC congruent by AAS

8 0

2 years ago

Read 2 more answers

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re

attashe74 [19]

Answer: $\frac{11}{15}$

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

$LCM=5*3=15$

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

$\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}$

7 0

2 years ago

Lance has three times as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?

hoa [83]

Is 47 l think !!!!!!!!!!!!!!!!!!!!!

6 0

2 years ago

What is the 46th term in the arithmetic sequence? -1.5,-1.3, -1.1,-0.9...?

schepotkina [342]

Answer:

a(46) = -1.5 + 0.2(45) = -1.5 + 9 = 7.5

Step-by-step explanation:

Each term of this sequence is 0.2 greater than the previous term. The formula for this arithmetic sequence is

a(n) = -1.5 + 0.2(n - 1)

and so the 46th term is:

a(46) = -1.5 + 0.2(45) = -1.5 + 9 = 7.5

5 0

2 years ago

Juanita makes $42 an hour at work. She has to take time off work to purchase her dress, so each hour away from work costs her $4

NISA [10]

If this is a go math question you can look it up

6 0

2 years ago

Read 2 more answers