Answer:
Step-by-step explanation:
To find the inverse function, the first step we do is change f(x) to Y. So now, we have
y=2x+1
Now that we have this function, we simply flip x and y. When we do that, we get
x=2y+1
Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.
x-1=2y+1-1
x-1=2y
(x-1)/2=2y/2
(x-1)/2=y
So, our inverse function is:
y=(x-1)/2, or y=x/2 - 1/2
Hope I helped!
A $0.85 x 2= amount for shipping.
B $0.85-0.05 = total cost for each pound
so the equation would be.
$0.85-0.05 = 0.8
0.8x2 = cost for 2 pounds of toys shipped
1.60 is the cost for 2 pounds hope this helped
9514 1404 393
Answer:
354,998
Step-by-step explanation:
If the number is less than 350,000, it will not round to 400,000.
If the number is 355,000 or more, it will not round to 350,000.
The number (n) must satisfy ...
350,000 ≤ n < 355,000
__
If we're restricted to integers, the number could be any between 350,000 and 354,999, inclusive. One possibility is 354,998.
Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
Answer:
height = 142.00 ft
height ≈ 200. 82 ft
height ≈ 245.95 ft
Step-by-step explanation:
The picture below represent the image of the draw bridge. The illustration will form a right angle triangle. The hypotenuse is each half of the drawbridge which is 284 ft long. The opposite side of the triangle is facing the drawbridge half leg and the adjacent side is horizontal length. This is the side that made the angle with the drawbridge half leg(hypotenuse).
The question ask us to find the height of the drawbridge when it rise which is the opposite sides of the triangle when the angle is 30° , 45° and 60°.
Using SOHCAHTOA principle,
Angle 30°
sin 30° = opposite/hypotenuse
sin 30° = height/284
cross multiply
height = 0.5 × 284
height = 142.00 ft
Angle 45°
sin 45° = height/284
height = 284 × 0.70710678118
height = 200.818325857
height ≈ 200. 82 ft
Angle 60°
sin 60 = height/284
cross multiply
height = 0.86602540378 × 284
height = 245.951214675
height ≈ 245.95 ft
