Hello:
let : f(x) = <span>x3 − 6x2 + kx + 10
</span><span>If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11</span>
Answer:
-8 < -4
Step-by-step explanation:
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
2/3 or 4/6 chance of the tv to work 1/3 or 2/6 chance it won't work.
Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
-----> equation A

-----> equation B
Substitute equation B in equation A
Find the value of x


therefore
<u>the answer is</u>
the number of multiple choice question are 
the number of free response question are 