Answer: The two roots are x = 3/2 and x = -2
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Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
- 2x-3 = 0 solves to x = 3/2 = 1.5
- -x-2 = 0 solves to x = -2
The two roots are x = 3/2 and x = -2
The calculation of the expression “four times as large as 124+645” end up in 1141.
<u>Step-by-step explanation:</u>
- The question is asked to Express the calculation “four times as large as 124+645”.
- The given statement can be written in the expression form to perform the calculations.
Here, the phrase 'four times' represents the multiplication of 4.
⇒ “four times as large as 124+645” = 4(124) + 645
So, the first step is to multiply 4 with 124.
⇒ 4 × 124
⇒ 496
The expression is now modified as “496+645"
We know that, the final result is the addition of the two numbers 496 and 645 which is calculated as
⇒ 496+645
⇒ 1141
Therefore, the calculation of the expression “four times as large as 124+645” end up in 1141.
Jenny is incorrect in her calculation.
For every time that Jenny's brother washed dishes, Jenny washed dishes 4 times. This tells that the the times they washed dishes occur in the ratio 4 :1. If Jenny's brother washed dishes 8 times, Jenny has to have washed dishes times. The way Jenny's is doing the calculation implies that his brother washed dishes times. He calculation yields a wrong result.
Log25 (5•25) = 3 over 2 aka 3/5
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)