<h2>
Step-by-step explanation:</h2>
A: f(x)=8x-2
1. Switch the f(x) to y
y=8x-2
2. Switch y to x and x to y
x=8y-2
3. Solve for y:
------------------------------
1. Add 2 to both sides.
x=8y-2
+2 +2
2. Divide both sides by 8.
x+2=8y
--- ---
8 8
1/8x+1/4=y
3. Write in f-inverse form
f^-1(x)=1/8x+1/4
B: g(x)=2/3x+6
1. Switch the g(x) to y
y=2/3x+6
2. Switch y to x and x to y
x=2/3y+6
3. Solve for y:
------------------------------
1. Subtract 6 from both sides.
x=2/3y+6
-6 -6
2. Multiply both sides by 3/2 (to cancel out the 2/3)
x-6=2/3y
2/3x-4=y
3. Write in f-inverse form
g^1(x)=2/3x-4
C: h(x)-4x-12
1. Switch the h(x) to y
y=-4x-12
2. Switch y to x and x to y
x=-4y-12
3. Solve for y:
------------------------------
1. Add 12 to both sides.
x=-4y-12
+12 +12
2. Divide both sides by -4
x+12=-4y
------ ---
-4 -4
-1/4x-3=y
3. Write in h-inverse form
h^2(x)=-1/4/x-3
Let
rA--------> radius of the circle A
rB-------> radius of the circle B
SA------> the area of the sector for circle A
SB------> the area of the sector for circle B
we have that
rA=5/2 ft
rB=9/2 ft
rA/rB=5/9-----------> rB/rA=9/5
SA=(25/36)π ft²
we know that
if Both circle A and circle B have a central angle , the square
of the ratio of the radius of circle A to the radius of circle B is equals to
the ratio of the area of the sector for circle A to the area of the sector for
circle B
(rA/rB) ^2=SA/SB-----> SB=SA*(rB/rA) ^2----> SB=(9/5) ^2*(25/36)π--->
<span>SB----------- > (81/25)*(25/36)------ > 81/36------
> 9/4π ft²</span>
the answer is
<span>the measure of the sector for circle B is (9/4)π ft²</span>
Answer:
1 ft^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 3) * ( 2/3)
A = 3/2* 2/3
A =1
Answer:
<h2>The inequality r – 34 > 3 can be used to represent the situation.
</h2><h2>The raised temperature could be 40 degrees.
</h2>
Step-by-step explanation:
The choices are
- the inequality r + 3 > 34 can be used to represent the situation.
- the inequality r – 34 > 3 can be used to represent the situation.
- the raised temperature could be 40 degrees.
- the raised temperature could be 37 degrees.
- the graph of the solution set would be shaded to the left.
Notice that the inequality which represents this situation is
Because the temperature increases more than 3 degrees.
So, the second choice is correct, because it's the expression that represents the problem.
Now, the initial temperature of the refrigerator was 34°, if it increases more then 3 degrees, it means the temperature can be greater than 37°, therefore, the third choice is correct, because 40° is greater than 37°.
At last, the graph of the inequality is shaded to the right, because the inequility symbol is "greater than".
Answer:
3, 10, 1080
Step-by-step explanation:
A coefficient, is the number that is multiplying a variable, such as x. A constant is any other number, not multiplying a variable.
For part one, the number multiplying the variable x is 3, so 3 is the coefficient.
For part two, the only number not multiplying a variable is the 10, so that is the constant.
To find how many miles she drove, we first need to subtract the first 30 dollars from the final payment.
300-30=270
We than need to divide 270 by .25, because that is how much it costed per mile.
270/.25=1080
