Answer: d
Step-by-step explanation:
Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8
Answer:
Sam is correct.
Step-by-step explanation:
Exponent rules state that when an number with an exponent is raised to a power, the two exponents multiply. For example, a^2^2=a^4.
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
Answer:
C. P(E) = 0.9
Step-by-step explanation:
If E needs to be greater than D, then you have two options. 1.5 and 0.9. Since D is 0.5, I think that the most reasonable answer is 0.9.
[If this is wrong, the you know your answer is B. P(E) = 1.5]