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isolating a:
(a + b + c)/3 = z
(a + b + c) = 3z
<h2>a = 3z - b - c</h2>
Is the relationship shown in the table at the right proportional? If so, use it to complete a proportions web. If not, explain w
hy it is not
40 Points to whover answers them all
40 Points to whover answers them all
2 answers:
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Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
Answer:
Step-by-step explanation:
So first, let's get rid of the parentheses. We can multiply it out to get . We know that the square root of 16 is ±4, so now our equation is ±4 -
=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 -
=11. We can use inverse operations to make the a little easier to solve: -7=
. We divide both sides by
to get
, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by
(which is equal to one so we can use it) which is equal to
. Let's finish this by simplifying it.
(2x
). We can simplify it further by simplifying the 2, making it
.
Hope this wasn't too confusing! I'll answer any questions.