The graph is crossing x-axis at the points
a) -1
b) 5
c) 8
This means x + 1, x - 5 and x - 8 are the factors of the given polynomial. We can express the polynomial as the product of its factors. So the given polynomial can be expressed as (x + 1)(x - 5)(x - 8).
Thus, the correct answer to this question is option D
Answer:
Step-by-step explanation:
5x - 24 = 3 * 2
5x - 24 = 6
5x = 30
x = 6
Answer: D) 18
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Explanation:
|-11| simplifies to 11
|-7| simplifies to 7
Whatever is inside the absolute value, you just remove the negative and that's the result of that absolute value expression. It represents the distance on a number line. So for instance -11 is 11 units from 0, which is why |-11| = 11.
Overall,
|-11| + |-7| = 11 + 7 = 18
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Answer:
16 pieces of spearmint gum
Step-by-step explanation:
For every five pieces of peppermint gum, there are 2 pieces of spearmint gum.
First, divide the total number of peppermint gum by 5:
40/5 = 8
Multiply this number by 2 (pieces of spearmint) to get the number of spearmint gum pieces:
8 x 2 = 16
Proof:
Ratio is 40 : 16, dividing this by 8 will reduce the ratio to 5:2
