Answer:
7.
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
12^2 + 5^2 = c^2
144+25=169
c=13m
Notice that 6 is a factor of all three coefficients and thus can be factored out:
6x^2 -42x-54 => 6(x^2 - 7x - 9). x^2 - 7x - 9 does not factor so easily. Remembering that obtaining roots of a quadratic makes it easy to write out the corresponding factors, let's apply the quadratic formula to x^2 - 7x - 9:
a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.
Thus, the roots are:
7 plus or minus √85 7 plus or minus 9.220
x = -------------------------------- = ------------------------------------
2 2
Let's call these roots "a" and "b." Then the factors of the quadratic x^2 - 7x - 9 are (x-a) and (x-b), or, in this case, (x-8.11) and (x+1.11).
The original quadratic has three factors: 6, (x-8.11) and (x+1.11).
Answer:
x²+4x+3
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= (x²+3x+2) + (x+1)
= x²+4x+3
Answer:
after 18 minutes the temperature of the oven will be 250°
Step-by-step explanation:
