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dexar [7]
4 years ago
15

G(x) = x3 + 6x2 + 12x + 8 Determine the function’s value when x = −1.

Mathematics
1 answer:
salantis [7]4 years ago
5 0

Answer:

g(-1) = 1

Step-by-step explanation:

Synthetic division is by far the fastest way to evaluate this function at x = -1.  Set up synth. div. as follows:

-1   )   1    6    12    8

              -1    -5    -7

     ----------------------

         1     5     7     1                

since the remainder is 1, g(-1) = 1

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Use the quotient rule to find the derrivatives of 3/x^2​
Hunter-Best [27]

Answer:

f'(x) = -6/x³

Step-by-step explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³

5 0
3 years ago
I need help with Rational Functions
Andrej [43]

Answer: (5a+b)/2

Step-by-step explanation:

1. First factor 5a^2+36ab+7b^2

=(5a+b)(a+7b)

2. Factor 2a+14b

The two can be factored out, making the equation equal to 2(a+7b).

The factored out equation is now \frac{(5a+b)(a+7b)}{2(a+7b)}

Since there is an (a+7b) on both sides of the fraction, they cancel out. You are left with (5a+b)/2. This fraction cannot be simplified more.

To verify you can multiply (5a+b)/2 times (2a+14b). If it is correct, it should come back out as 5a^2 + 36ab +7b^2

7 0
3 years ago
What is the measure of angle 2
cluponka [151]
Vertical angles are congruent so Angle 2 is 75 degrees.
4 0
4 years ago
It costs the Quality company $.14 per mile to run its van. On Monday the van traveled 87.6 miles. How much did it cost to run th
Dafna1 [17]

Answer:

12.264

Step-by-step explanation:

* per would be saying the number of miles the van is running that day

.14 x 87.6

= 12.264

7 0
3 years ago
A sweater is marked down $25 to $19 what is the percent of change
Marrrta [24]
19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change

I hope this helps!
7 0
3 years ago
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