Answer:
x=-3 or x=3/2
Step-by-step explanation:
We are given the following equation:
2x^2+5x-9=2x
We are asked to find the roots. That means just solve it for x.
2x^2+5x-9=2x
Subtract 2x on both sides:
2x^2+3x-9=0
Let's see if we can put this in factored form.
Compare
2x^2+3x-9=0
and
ax^2+bx+c=0.
a=2, b=3 , c=-9
We have to find two numbers that multiply to be ac and add up to be b.
ac=-18
b=3
What are two numbers that multiply to be -18 and add to be 3?
Say -3 and 6.
So we are going to factor 2x^2-3x+6x-9=0
The first two terms have a common factor of x.
The last two terms have a common factor of 3.
2x^2-3x+6x-9=0
x(2x-3)+3(2x-3)=0
Now we can factor the (x-3) out of those 2 terms there since they share that common factor:
(x+3)(2x-3)=0
(x+3)(2x-3)=0 implies x+3=0 or 2x-3=0.
So we must solve x+3=0 and 2x-3=0
x+3=0
Subtract 3 on both sides:
x=-3
2x-3=0
Add 3 on both sides:
2x=3
Divide both sides by 2:
x=3/2
The solutions are x=3 or x=-3/2
Answer:
The answer is 192.
Step-by-step explanation:
Answer: The number of pieces of the ribbon she can cut = yards
Step-by-step explanation:
Given: The length of the ribbon = yards
yards
Length of each piece = yards
The number of identical pieces can be cut from the entire ribbon = (Length of the ribbon ) ÷ (Length of each piece )
Hence, the number of pieces of the ribbon she can cut = yards
X^2-12x-9=0
Add 9 to both sides
x^2-12x=9
Add (b/2)^2 to both sides
x^2-12x+36=45
Factor
(x-6)^2=45
So C is the answer
<span><span>Mary is saving up money to go on a trip. This month, she saved three times as muchmoney as she saved last month. Last month, she saved $24.00. How much money did Mary save this month?</span><span>As much as tells you that you have a comparison.Three times is the multiplier.$24.00 is the amount in the first set.How much money did Mary save this month? is the question you are being asked. To solve, multiply $24.00 x 3.
</span><span>$24.00 x 3 = $72.00.It’s important to clearly show that you understand what your answer means. Instead of just writing $72.00, write:Mary saved $72.00 this month.</span><span>Whenever you finish a math problem of any kind, always go back to the original problem. Think: “What is the question I am being asked?” Make sure that your final answer is a reasonable answer for the question you are being asked.I was asked, “How much money did Mary save this month?” My answer is:<span> Mary saved $72.00 this month.</span>My answer is reasonable because it tells how much money Mary saved this month. I multiplied a whole number by a whole number, so the amount of money Mary saved this month should be more than she saved last month. Seventy-Two is more than 24 . My answer makes sense.</span></span>