Ask question

Ask question

All categories

2 years ago

13

Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no

solution. Explain your answer.
2x+4(x-1)=2+4x
25-x=15-(3x+10)
4x=2x+2x+5(x-x)

1 answer:

Triss [41]2 years ago

8 0

2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution

You might be interested in

Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right

Novay_Z [31]

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC² = CA² and AB=BC

ΔABC isosceles right angled triangle.

Step-by-step explanation:

Given vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = $\sqrt{1+1+16} = \sqrt{18}$

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC= $\sqrt{9+9} =\sqrt{18}$

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = $\sqrt{16+4+16} =\sqrt{36} =4$

Since AB²+BC² = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle

3 0

2 years ago

An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh

Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0

2 years ago

The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Spo

irina [24]

Answer:

77

Step-by-step explanation:

$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930

If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5

The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77

6 0

2 years ago

A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.

castortr0y [4]

Find the unit rate by dividing 360 bottles by 5 minutes:

360 bottles

-------------------- = 72 bottles/minute

5 minutes

3 0

2 years ago

Function L is represented by the equation y 6x +4. Compare Functions B an determining which one has the greater rate of change a

Alenkasestr [34]

Answer:

-1

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers