If f(x) = √x and g(x) = 7x + b, then
f(g(x)) = f(7x + b) = √(7x + b)
If the plot of f(g(x)) passes through (4, 6), then
f(g(4)) = √(7•4 + b) = √(28 + b) = 6
Solve for b :
√(28 + b) = 6
(√(28 + b))² = 6²
28 + b = 36
b = 36 - 28
b = 8
A way to change the shape of a point, a line, or shape.
Let w=width
L= length
3w+1=l
Perimeter -2(l+w)
2(W+3w+1)=42
Divide both sides by 2
W+3w+1=21
Subtract 1
W+3w=20
Add like terms
4w=20
Divide both sides by 4
W=5
The width is 5 inches
3w+1=l
Input the width into the equation
3(5)+1=l
15+1=l
16=l
The length of the rectangle is 16 inches
The rectangle is 5 x 16 inches
For example a stands for the number of adult tickets, and s stands for the number of student tickets.
Write a system of equation based on the problem
An equation for "<span>A total of 679 tickets were sold for the school play"
</span>∴ a + s = 679 <em>(first equation)</em>
An equation for "<span>there were 71 fewer student tickets sold than adult tickets"
</span>∴ s = a - 71 <em>(second equation)</em>
<span>
Find the solution of the system
Subtitute s with a - 71 in the first equation to find the value of a
a + s = 679
a + a - 71 = 679
2a - 71 = 679
2a = 679 + 71
2a = 750
a = 750/2
a = 375
The number of adult tickets sold is 375</span>
Answer:
the answer is 30 ok my friend your welcome
Step-by-step explanation:
