Answer:
-6/7
Step-by-step explanation:
5 – 6x = 8x + 17
<=> 5 - 17 = 8x + 6x
<=> -12 = 14x
<=> x = -6/7
Answer:
m<DCB = 84°
Step-by-step explanation:
ABCD is a parallelogram since it has two sets of parallel sides.
Opposite angles in a parallelogram are congruent.
Consecutive angles in a parallelogram are supplementary.
<DCB is consecutive to <D.
m<DCB + m<D = 180°
m<DCB + 96° = 180°
m<DCB = 84°
Answer:
Yes because they are both in the hundredths place
Step-by-step explanation:
775 + 4.25 times the number 12
Start with #47. To find the critical values, you must differentiate this function. x times (4-x)^3 is a product, so use the product rule. The derivative comes out to f '(x) = x*3*(4-x)^2*(-1) + (4-x)^3*1 = (4-x)^2 [-3x + 4-x]
Factoring this, f '(x) = (4-x)^2 [-3x+4-x]
Set this derivative equal to zero (0) and solve for the "critical values," which are the roots of f '(x) = (4-x)^2 [-3x+4-x]. (4-x)^2=0 produces the "cv" x=4.
[-3x+ (4-x)] = 0 produces the "cv" x=1. Thus, the "cv" are {4,1}.
Evaluate the given function at x: {4,1}. For example, if x=1, f(1)=(1)(4-1)^3, or 2^3, or 8. Thus, one of the extreme values is (1,8).
