Answer: y = x - 5
<u>Step-by-step explanation:</u>
"Eliminate the parameter" means we want to eliminate the <em>extra </em>variable and rewrite it ias one equation that only contains x, y, <em>and possibly a constant.</em>
<em />
The extra variable in the equations is "t". Manipulate one of the equations to solve for t². Then substitute t² = _____ it into the other equation.
x = t² + 3 → x - 3 = t²
y = t² - 2
y = (x - 3) - 2
y = x - 5
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
Answer:
2.1
Step-by-step explanation:
This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find:
This is the same thing as:
So, substitute h(x) into g(x):
Distribute the negative:
And we're done!
So:
Answer:
$34.66
Step-by-step explanation:
216-8= 208 divided by 6 = 34.666666
