Answer:
Step-by-step explanation:
let f(x)=y
y=2x+5
flip x and y
x=2y+5
2y=x-5
y=(x-5)/2
f^{_1}(x)=(x-5)/2
but f^{-1}(x)=1
so (x-5)/2=1
x-5=2
x=2+5=7
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:
B. ) x² + 4x + 3
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) =
(2x²-5) - (x²-4x-8) =
2x² - x² + 4x + 8 - 5 =
x² + 4x + 3
Answer:
The vine is growing faster than the tree.
Step-by-step explanation:
According to the chart, the Slope-intercept form of the tree is y = 4x + 2.
The slope intercept of the vine is y = 5x + 3. Therefore, the vine is growing at a faster rate.
Well knowing a ton is 2000lbs and 3/4 of that is 1500lbs, you would just need to multiply 1500 by gow many ounces are in a pound, which happens to be 16.
16 × 1500 = 24,000 ounces