Answer:
B
Step-by-step explanation:
Given
11 - 4x = (3x - 2)² + 1 ← expand the squared factor using FOIL
11 - 4x = 9x² - 12x + 4 + 1, that is
11 - 4x = 9x² - 12x + 5 ( add 4x to both sides )
11 = 9x² - 8x + 5 ( subtract 11 from both sides )
0 = 9x² - 8x - 6 or
9x² - 8x - 6 = 0 → B
Answer:
Step-by-step explanation:
Sin= o/h = 23/40 = 0.575 = sin^-1(0.575) = 35.1 degrees
Cos = a/h = 37/40 = 0.925 = cos^-1(0.925) = 22.3 degrees
Tan= o/a = 23/37 = 0.622 = tan^-1(0.622) = 31.9 degrees
Solutions
⇒9/12
1) To see if 9/12 is in simplest form you have to find 9 and 12's GCF.
The GCF of 9 and 12 is 3
2) Divide by the GCF
9 ÷ 3 = 3
12 ÷ 3= 4
3/4 is answer
1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12.
4x=2*2*x
12=3*2*2
The greatest common factor is 4. Put this outside of the parentheses. (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)
To check, distribute to see if it works.
4x+12
2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2. (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
Solution: 2(4r-7)
To check, distribute to see if it works.
8r-14
Do you get it now?
3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.
32x-15
Find the GCF of 32x and -15
32x: 2*2*2*2*2*x
-15: -1*5*3
Because there are no similar factors other than 1, it cannot be factored.
6.) 8(4x+3)
7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
12.) 50(1x+5)
Answer:
Correct option is
C
36.25
Modal class =30−40
So we have, l=30,f0=12,f1=32,f2=20 and h=10
⇒ Mode=l+2f1−f0f2f1−f0×h
=30+2×32−12−2032−12×10
=30+6.25
=36.25
∴ Mode =36.25
