What is the value of...?
Answers
Answer:
Step-by-step explanation:
I'm not sure I know exactly what that [1] means.
But here's how you get the answer
g(x) = 3x + 12
The symbolism means that wherever you see an x on the right side of g(x) you put f(x)
So it looks like this
g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.
g(f(x)) = 3(2x + 7) + 12 Remove the brackets
g(f(x)) = 6x + 21 + 12
g(f(x)) = 6x + 33
Now you deal with the x on the left. It becomes - 6
g(f(-6)) = 6(-6) + 33
g(f(-6)) = -36 + 33
g(f(-6)) = - 3
Rule 1
(g · f)(x)
has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.
Related Questions
A new car sells for $29,250. It straight line depreciates in 13 years. What is the slope of the straight line depreciation equation?
Multiply. (−2.1) ⋅ (−1.4) Responses −29.4 negative 29.4 −2.94 negative 2.94 2.94 2.94 29.4
A sector of a circle is shown. Find its area, rounded to the nearest tenth. A) 9.8 cm2 B) 10.5 cm2 C) 11.2 cm2 D) 12.3 cm2*I would like to know how you did it too*
Eric and four of his friends are taking a trip across the New York State Thruway. They decide to split the cost of tolls equally. If the total cost of tolls is $8, how much will each person have to pay? Include the product of rational numbers (multiplication problem) you used to find your answer.
Answers
Answer:
142.4 cubic units
Step-by-step explanation:
Formula: π * r²
Radius = 4
Height = 8.5
Volume = 1/3 x 3.14 x (4)^2 x 8.5 =
142.4 cubic units
A circle graph titled Favorite Subject. Math is 24 percent, language arts is 20 percent, science is 18 percent, social studies is 16 percent, art is 14 percent, and other is 8 percent.
If 100 students were surveyed, 34 would choose math as their favorite subject.
If 200 students were surveyed, 28 would choose art as their favorite subject.
If 400 students were surveyed, 64 would chose social studies as their favorite subject.
If 100 students were surveyed, 38 would choose science as their favorite subject.
If 200 students were surveyed, more than half would choose science or social studies as their favorite subject.
Answers
Answer:
a
Step-by-step explanation:
Answers
Answer:
y = 3x+5
Step-by-step explanation:
Answers
The dimensions of the rectangle are 9x + 2y units and 9x - 2y units.
What is the area of the rectangle?
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
To determine the dimensions of the rectangle, we need to factor the area expression completely. We can use the difference of squares formula to do this. The formula is:
a2 - b2 = (a + b)(a - b)
We are given that;
Area of rectangle= (81x2 − 4y2) square units.
Now,
We can identify that 81x2 and 4y2 are both perfect squares. The square roots of them are 9x and 2y respectively. So we can rewrite the area expression as:
81x2 - 4y2 = (9x)2 - (2y)2
Using the difference of squares formula, we can factor this expression as:
(9x)2 - (2y)2 = (9x + 2y)(9x - 2y)
We can check this by multiplying them and getting back the original area expression.
(9x + 2y)(9x - 2y) = 81x2 - 18xy + 18xy - 4y2 (9x + 2y)(9x - 2y) = 81x2 - 4y2
Therefore, by the given area the answer will be 9x + 2y units and 9x - 2y units.
Learn more about the area;
#SPJ3
if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)
But the sides may also be and an other expression....
Answers
Answer:
Step-by-step explanation:
y = 10x + 50
x ---> no of weeks
y - intercept = 50