Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole
1/6 (divide each by 2)
4/24 (multiply each by 2)
Step-by-step explanation:
5x+52=9x+20
subtract 5x on both sides
subtract 20 on both sides
32=4x
divide by 4 on both sides
x=8
plug in x to the equations for A, D, and C
A and D are 92°
C is 56°
B and C will add up to 90, so
90-56=34°
13y-6=34
add 6 on both sides
13y=40
divide by 13
y=40/13 (I don't wanna calculate that)
25% of the class likes mint gum, 5% likes orange, 20% likes raspberry lemonade, of the remaining % likes cherry. how much is the remaining % of students?
Answer:
D) 12x² - 20x + 7
Step-by-step explanation:
Use FOIL when multiplying 2 binomials...
FOIL is Firsts, Outsides, Insides, Lasts. It's the order in which you multiply the numbers in the binomials...
(2x - 1)(6x - 7)
Firsts: (2x)(6x) = 12x²
Outsides: (2x)(-7) = -14x
Insides: (-1)(6x) = -6x
Lasts: (-1)(-7) = 7
Now add them up...
12x² - 14x - 6x + 7
12x² - 20x + 7