Terry wants to make a necklace with 50 beads she knows that 12 beads take up 5 inches of day how many beads fit on one foot a st
1 answer:
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Answer:
substitute for v, when v = -2.9
Step-by-step explanation:
subtract 13.1 on both sides.
divide by 5.2 to isolate v
substitute for v
Let's complete the square
f(x) = x^2 + 6x + 8
y = x^2 + 6x + 8
y-8 = x^2 + 6x
y-8+9 = x^2+6x+9 .... see note below
y+1 = (x+3)^2
y = (x+3)^2-1
note: I added 9 to both sides due to taking half of the 6, and then squaring that result.
We'll restrict x such that to ensure that this function is one-to-one.
Now we need to swap x and y, and solve for y to get the inverse
y = (x+3)^2 - 1
x = (y+3)^2 - 1
x+1 = (y+3)^2
(y+3)^2 = x+1
y+3 = sqrt(x+1)
y = sqrt(x+1)-3
g(x) = sqrt(x+1)-3 is the inverse
The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.
Answer:
Step-by-step explanation:
we know that
The algebraic expression of seven-tenths is equal to the number 7 divided by ten
The algebraic expression of the product of 5p and 3 is equal to multiply 5p by 3
therefore
The algebraic expression of seven-tenths of the product of 5p and 3 is equal to