Take out the GCF
5(2x^2+3x-14)
Use slip and slide for the inner trinomial
x^2+3x-28
(x+7)(x-4)
(x+7/2)(x-4/2)
(2x+7)(x-2)
Final answer: 5(2x+7)(x-2)
The domain of the function is the range of values of x that can be used to be replaced in the equation for it to become true. We are given that the value of f(x) should range only from -1 to 3. We evaluate each of the choices and see if the values of f(x) will fall within the range.
(a) -12; f(x) = 2^(-12) - 10 = -9.9999 (NOT AN ANSWER)
(b) -10; f(x) = 2^(-10) - 10 = -9.999 (NOT AN ANSWER)
(c) -9; f(x) = 2^(-9) - 10 = -9.999 (NOT AN ANSWER)
(d) -6; f(x) = 2^(-6) - 10 = -9.98 (NOT AN ANSWER)
(e) -2; f(x) = 2^(-2) - 10 = -9.75 (NOT AN ANSWER)
Hence, none of the choices will allow the value of f(x) to fall between -1 and 3.
-1/5 * n ≤ 17
n ≥ -17/5 is the answer
<u>Corrected Question</u>
Is the function given by:
continuous at x=4? Why or why not? Choose the correct answer below.
Answer:
(D) Yes, f(x) is continuous at x = 4 because 
Step-by-step explanation:
Given the function:
A function to be continuous at some value c in its domain if the following condition holds:
- f(c) exists and is defined.
exists.
At x=4
Therefore: 
By the above, the function satisfies the condition for continuity.
The correct option is D.
Answer:
48 yd^3.
Step-by-step explanation:
Volume of a pyramid = 1/3 * height * area of the base.
The area of the triangular base = 1/2 * height * base = 1/2*6*8
= 24 yd^2.
So the volume of the figure
= 1/3 * 6 * 24
= 2*24
= 48 yd^3.
