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Yakvenalex [24]
3 years ago
8

Does 4(5x+3)-9x=11x+12 have infinitely many solution

Mathematics
2 answers:
Anna [14]3 years ago
7 0

Answer: Yes

Step-by-step-explanation: First distribute the 4 through the parentheses to get 20x + 12.

So the problem now reads 20x + 12 - 9x = 11x + 12.

Before adding or subtracting anything from both sides of the equation, make sure you simplify the left side as much as possible. 20x - 9x is 11x.

So the left side simplifies to 11x + 12 = 11x + 12.

Notice that when you try to put your variables together on one side of the equation by subtracting 11x from both sides, the <em>x</em> terms cancel out on both sides and we no longer have a variable in the equation.

Notice however that we're left with the statement 12 = 12. Since 12 = 12 is a true statement, we say that the solution to this equation is all real numbers which means the equation happens to have an infinite number of solutions

So, this equation would have infinitely many solutions.  

Anastaziya [24]3 years ago
5 0

Answer:

<h2>YES</h2>

Step-by-step explanation:

4(5x+3)-9x=11x+12\qquad\text{use the distributive property}\\\\(4)(5x)+(4)(3)-9x=11x+12\\\\20x+12-9x=11x+12\qquad\text{combine like terms}\\\\(20x-9x)+12=11x+12\\\\11x+12=11x+12\qquad\text{subtract}\ 11x\ \text{from both sides}\\\\11x-11x+12=11x-11x+12\\\\12=12\qquad\bold{TRUE}

We received a true equation independent of x.

Hence, we conclude that we can substitute any number for x.

Therefore, the equation has infinitely many solutions (each number is the solution to this equation).

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What numbers multiply to equal -9 but add up to 12?
Elan Coil [88]
I don't think this is possible.

The factors of -9 are:
-1 x 9
-9 x 1
-3 x 3

And when you add them together you get:
-1 + 9 = 8
-9 + 1 = -8
-3 + 3 = 0

Sorry but there is not an answer. :(

7 0
3 years ago
A group of 123 students went on a field trip to
irakobra [83]

Answer:

8.2

Step-by-step explanation:

If each student in the group collected 15 shells, we know that there are 123 students on the field trip, so we can take 123 and divide it by 15 to get 8.2 or 41/5.

7 0
3 years ago
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .
Zinaida [17]

Answer:

\sf y=9x-5

Step-by-step explanation:

\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned}

6 0
3 years ago
Read 2 more answers
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a
Illusion [34]

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

8 0
3 years ago
The sum of thrice a number and 5 is greater than or equal to the sum of twice a number and 1. Write down the inequality and solv
sertanlavr [38]

Answer:

May be helpful.

thx.......

7 0
1 year ago
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