Answer:
The answer is <u>8</u>.
Step-by-step explanation:
Given:
4d - 35= -3.
Now, the solution:
Adding both sides by 35 we get:
Dividing both sides by 4 we get:
Therefore, the answer is 8.
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer:
Solve the inequality. a + 5.7 > –2.3
(A)a > 3.4
(B)a > 8
(C)a > –3.4
<u>(D)a > –8</u>
Step-by-step explanation:
Remember that things like this, always need to add up to 180°.
Answer:
B. 5/6
Step-by-step explanation:
÷ 
= 0.83333333
0.83333333 ≈ 
Hope this helps :)
