Answer: (a) -7 (b) 
(c) 
(d) 4
Step-by-step explanation:
A) f(x) = 2x - 3 when x is between -5 and -2 (including -5 and -2)
B) f(x) = x² when x is between -2 and 2 (including 2)
C) 
when x is between 2 and 5 (including 5)
a) Equation A includes x = -2
f(x) = 2x - 3
f(-2) = 2(-2) - 3
= -4 - 3
= -7
b) Equation B includes x = 
f(x) = x²
c) Equation C includes x = 4
d) Try each equation to see if x falls within the values given.
A) f(x) = 2x - 3
-2.5 = 2x - 3
0.5 = 2x
0.25 = x NOT VALID since x should be between -5 and -2
B) f(x) = x²
-2.5 = x²
NOT VALID since x cannot be an imaginary number
C)
VALID since x is between 2 and 5
Answer:
ANGLE K IS 75 DEGREES
All the interior angles of a triangle ADD up to 180 degrees
lets add the angles!
6x-11+8x-29+3x-1
add like terms. all the x terms add up and all the constants as well
8x+6x+3x = 17x
-29-1-11 = -41
17x-41= 180 (-41 + 41 = 0 we do this to remove -41 from the left side of the equation to isolate x)
41+180 = 221
17x=221
221/17 = 13
x=13
so..
8 * 13 - 29 is the angle..
8*13 = 104
and 104-29 = 75
Angle K is 75 degrees! hope that helps..
Step-by-step explanation:
It says that between any two real numbers there’s always another real number Rachel numbers any number that can be written in fraction form is a Rachel number this includes integers termination of decimals and repeating decimal as well as fractions so any termination decimal is the ratio number
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Answer:
Step-by-step explanation:
625 when divided by 5 gives 125 which is a perfect cube.
=> 
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
![\sf \ \sqrt[3]{125} = 5](https://tex.z-dn.net/?f=%5Csf%20%20%20%20%5C%20%20%5Csqrt%5B3%5D%7B125%7D%20%3D%205)
So, 5 needs to be divided by 625 to make the quotient a perfect cube!
