Answer: f(6) = (6)2 + 1 = 36 + 1 = 37
If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:
f(x) = x2 + 1
f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"
Step-by-step explanation:
Answer:
{x,y} = {-2,2}
Step-by-step explanation:
Solve equation [2] for the variable y
7y = 7x + 28
y = x + 4
Plug this in for variable y in equation [1]
-8x + 4•(x +4) = 24
-4x = 8
Solve equation [1] for the variable x
4x = - 8
x = - 2
By now we know this much :
x = -2
y = x+4
Use the x value to solve for y
y = (-2)+4 = 2
Solution :
{x,y} = {-2,2}
and this intersects at only one point so your answer is A
Answer:
log₁₀(10³) + log₁₀(10⁴)
= log₁₀( 10³ × 10⁴ )
= log₁₀( 10³⁺⁴)
= log₁₀( 10⁷)
Step-by-step explanation:
Given:
log₁₀(10³) + log₁₀(10⁴) = log₁₀(10⁷)
Now,
we know the property of log function that
log(A) + log(B) = log(AB)
therefore,
applying the above property on the LHS, we get
log₁₀(10³) + log₁₀(10⁴) = log₁₀( 10³ × 10⁴ )
also,
xᵃ + xᵇ = xᵃ⁺ᵇ
therefore,
log₁₀( 10³ × 10⁴ ) = log₁₀( 10³⁺⁴)
= log₁₀( 10⁷)
Hence,
LHS = RHS
Hence proved
First, distribute the 5 into the 8x-1 (5 times 8x, 5 times -1)
40x - 5 - x = 2x + 32
Subtract the x
39x - 5 = 2x + 32
Switch the sides for -5 (it will become positive and add to the 32)
39x = 2x + 37
Switch sides for the 2x (it will become negative and subtract from the 39x)
37x = 37
Divide both sides by 37
x = 1
1,080×(1−0.03)^(6)
=899.6 per month round your answer to get 900
