Solve for x then replace x with f⁻¹(x) and y with x
y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)
Answer:
75 Km
Step-by-step explanation:
we know that
The scale on a map is
That means
0.5 cm on a map represent 3 Km in the actual
so
using proportion
Find out the actual distance between the towns, if the distance on the map is 12.5 cm
Answer:
(x-8y)(x-8y)
Step-by-step explanation:
write the expression as a product with the factors x and 8y
8^2 -2(x)8y+64y^2
multiply terms with equal exponents by multiplying the bases
x^2 -2 (x) 8y + (8y)^2
factor
(x-8y)^2 which is equal to c
<span>The domain tells us which x values we can use in the equation. In this case, there is no x value that will result in the function being undefined, so the domain is all real numbers.
No matter what x we plug into our function, there are some y values that we will never receive- such as a negative number. The graph of this function is an upward opening parabola with its vertex at (2,2). Since the lowest y value we can obtain from this equation is 2, and it continues on toward infinity in the positive direction, the range is 2 to infinity.</span>
Answer:
Step-by-step explanation:
<u>Given</u>
- 7.8x -3.4y + z subtract
- -9.2x + 4.8y - 2.1z
<u>Solution</u>
- 7.8x -3.4y + z - (-9.2x + 4.8y - 2.1z) =
- 7.8x -3.4y + z + 9.2x - 4.8y + 2.1z =
- x(7.8 + 9.2) -y(3.4 + 4.8) +z(1 + 2.1) =
- 17x - 8.2y + 3.1z
