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Brrunno [24]
3 years ago
9

Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)

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1 year ago
PLEASE HELP!! <br> Factor completely: x2 + 6x + 8
Harman [31]
8(x + 1) Is the answer
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Find the equation of the line.<br> Use exact numbers.<br> y =
weqwewe [10]

Answer:

y = -1/3x + 5

Step-by-step explanation:

-1/3 is the slope

5 is the y-intercept

7 0
3 years ago
Can someone please help?
Kaylis [27]

Hey there!

The answer is C.

First of all, let's assign variables. We can use t for tricycles and b for bicycles.

Next let's look at the first statement:

"There are at most 12 bicycles and tricycles in a school playground."

"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.

We can write this as b + t ≤ 12.

Now we can look at the second statement:

"There are at least 17 wheels altogether."

"At least" means the number 17 will be included in the inequality.

Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.

That can be written as 2b + 3t ≥ 17.

Our final system of inequalities:

b + t ≤ 12

2b + 3t ≥ 17

This matches option C.

Hope this helps!

8 0
3 years ago
The quotient of x and 7 is less than or equal to-25
wariber [46]

Answer:

x/7 ≤ -25

x  ≤ -175

Step-by-step explanation:

Quotient means division

x/7 ≤ -25

Multiply each side by 7

7*x/7 ≤ -25*7

x  ≤ -175

4 0
3 years ago
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