Answer:
C
Step-by-step explanation:
On the left, we have 3 positive x bars and 8 1s.
Hence, the left can be represented by the following expression:
On the right, we have 4 positive x bars and 6 1s.
Hence, the right can be represented by the following expression:
The two are equivalent. Therefore:
Solve for x. Subtract 6 from both sides:
Subtract 3x from both sides:
Flip:
Hence, our answer is C.
Answer:
Step-by-step explanation:
Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0: 2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.
Now do the same thing with
-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4. Thus, this function is not continuous at x = 2.
We must reject statement A.
Statement B: as x increases without bound, (1/2)x + 3 also increases without bound. This statement is true.
Statement C: False, because the quadratic -x^2 - 4x + 1 has a maximum at
x = -b/[2a], or x = -(-4)/[-2], or x = -2
Statement D: True: there are no limitations on the values of the input, x.
Answer:
c.2
Step-by-step explanation:
5(x+4)<32
5(2+4)<32
10+20<30
Answer:
C
Step-by-step explanation:
So first, you find the area of a rectangle, which would be 15 * 30 = 450. Next, find the area of the semicircle by doing 
(you have to divide by 2 because it's only have a circle).
The radius is half of 15, so 15 / 2 = 7.5. This would be:
The last step is to add 450 + 88.3125 = about 538.3 m^2
Answer:
a
Step-by-step explanation:
