The highest common factor is 45
<h3>
Answer: n = -11</h3>
=========================================================
Explanation:
Since x-2 is a factor of f(x), this means f(2) = 0.
More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
So if we plugged x = 2 into f(x), we'd get
f(x) = x^3+x^2+nx+10
f(2) = 2^3+2^2+n(2)+10
f(2) = 8+4+2n+10
f(2) = 2n+22
Set this equal to 0 and solve for n
2n+22 = 0
2n = -22
n = -22/2
n = -11 is the answer
Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10
Plug x = 2 into that updated f(x) function to find....
f(x) = x^3+x^2-11x+10
f(2) = 2^3+2^2-11(2)+10
f(2) = 8+4-22+10
f(2) = 0
Which confirms our answer.
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
Answer:
0.01052
Step-by-step explanation:
It would take me a million years to show you how to solve it but its long division
Z = ( 135 - μ ) / σ = -1
z = ( 165 - μ ) / σ = 1
P (x < 135) = P (z < -1) = 0.1587
P (165 < x) = P (1 < z) = 0.1587
.187 * 1000 = 187 more than 165
<span>.187 * 1000 = 187 less than 135</span>
