Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.
Answer:
f[g(4)] = 4
Step-by-step explanation:
Given table:
f[g(4)] is a composite function.
When calculating <u>composite functions</u>, always work from inside the brackets out.
Begin with g(4): g(4) is the value of function g(x) when x = 4.
From inspection of the given table, g(4) = -6
Therefore, f[g(4)] = f(-6)
f(-6) is the value of function f(x) when x = -6.
From inspection of the given table, f(-6) = 4
Therefore, f[g(4)] = 4
Answer:
The equation is true.
Step-by-step explanation:
Simplify. Combine like terms:
3x + 15 = (2x + x) + (10 + 5)
3x + 15 = (3x) + 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3x and 15 from both sides:
3x (-3x) + 15 (-15) = 3x (-3x) + 15 (-15)
3x - 3x = 15 - 15
0 = 0
~ True. The two expressions are equal to each other.
~
Answer:
1
Rewrite 200200 as its prime factors.
\sqrt[3]{2\times 2\times 2\times 5\times 5}32×2×2×5×5
2
Group the same prime factors into groups of three.
\sqrt[3]{(2\times 2\times 2)\times 5\times 5}3(2×2×2)×5×5
3
Rewrite each group of three in exponent form.
\sqrt[3]{{2}^{3}\times 5\times 5}323×5×5
4
Use this rule: \sqrt[3]{{x}^{3}}=x3x3=x.
2\sqrt[3]{5\times 5}235×5
5
Simplify.
2\sqrt[3]{25}2325
6
Rewrite 2525 as {5}^{2}52.
2\sqrt[3]{{5}^{2}}2352
7
Use this rule: {({x}^{a})}^{b}={x}^{ab}(xa)b=xab.
2\times {5}^{\frac{2}{3}}2×532
Answer:
A
Step-by-step explanation:
Substitute n = 9 into the nth term rule
A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A
