Answer:
Vertex is (4,1)
Step-by-step explanation:
x=-b/2a so you need to first divide the b (second term) by the a (first term) so you should get 1 as your new a and -8 as your new b. Negative (-8) is just 8 then divide that by 2(1) which is just 2 which equals 4. That is your x. To find your y, you plug your x back into the original equation and then solve it. Hope this helps!
You are trying so solve
<span><span>3^x</span>=8</span>
and since 8 is not an integral power of x you need a calculator.
it is <span><span>ln(8)/</span><span>ln(3)</span></span>
or
<span><span><span>log(8)/</span><span>log(3)</span></span></span>
Answer:
arc BC = 16°
arc ABC = 196°
Step-by-step explanation:
arc BC = 180 - 164 = 16
arc ABC = 180 + 16 = 196
The first one is 43/72 which can’t be simplified
The second one is 17/18
Answer:
h(8q²-2q) = 56q² -10q
k(2q²+3q) = 16q² +31q
Step-by-step explanation:
1. Replace x in the function definition with the function's argument, then simplify.
h(x) = 7x +4q
h(8q² -2q) = 7(8q² -2q) +4q = 56q² -14q +4q = 56q² -10q
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2. Same as the first problem.
k(x) = 8x +7q
k(2q² +3q) = 8(2q² +3q) +7q = 16q² +24q +7q = 16q² +31q
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Comment on the problem
In each case, the function definition says the function is not a function of q; it is only a function of x. It is h(x), not h(x, q). Thus the "q" in the function definition should be considered to be a literal not to be affected by any value x may have. It could be considered another way to write z, for example. In that case, the function would evaluate to ...
h(8q² -2q) = 56q² -14q +4z
and replacing q with some value (say, 2) would give 196+4z, a value that still has z as a separate entity.
In short, I believe the offered answers are misleading with respect to how you would treat function definitions in the real world.
