Answer:
D. 5.5
Step-by-step explanation:
F(n) = 5x -7
Explanation: use y2-y1/x2-x1 to find the slope.
You’ll write it like -12-3/-1-2 = -15/-3 = 5
slope = 5
Answer:
3 5 30 32
Step-by-step explanation:
The question in English is
The age of 4 members of a family adds up to 70. Mom is 6 times bigger than her son and 10 times bigger than her daughter. Dad is 2 years older than Mom. How old are each of the family members? Write the result in ascending order and separated by spaces
Let
x----> Mon's age
y----> Son's age
z----> Daughter's age
w---> Dad's age
we know that
x+y+z+w=70 -----> equation A
x=6y ----> y=x/6 -----> equation B
x=10z ----> z=x/10 -----> equation C
w=2+x -----> equation D
substitute equation B, C and D in equation A and solve for x
x+(x/6)+(x/10)+(2+x)=70
Multiply by 60 both sides
60x+10x+6x+120+60x=4,200
136x=4,200-120
x=4,080/136
x=30 years
Find the value of y
y=x/6 -----> y=30/6=5 years
Find the value of z
z=x/10 ----> z=30/10=3 years
Find the value of w
w=2+x ----> w=2+30=32 years
Write the result in ascending order and separated by spaces
3 5 30 32
so
Daughter Son Mon Dad
Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
