If f(x) = 3x +5 and g(x)= x² + 1, what is the value of g[f(x)}?

Which expression is equivalent to...? Screenshots attached, please help.

BaLLatris [955]

For this case we must simplify the following expression:

$\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}$

We rewrite:

$64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3$

So:

$\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}$

Answer:

Option B

3 0

3 years ago

What’s the constant 15-8y?

IgorC [24]

Answer:

15

Step-by-step explanation:

3 0

3 years ago

Doctors can approximate the Body Surface Area (BSA) of an adult (in square meters) using the BSA index: B⁢S⁢A=H⋅W3600 , where H

Anettt [7]

<span>75 kilograms The equation given for BSA doesn't look correct, perhaps due to formatting issues involving a simple copy and paste without any proofreading afterwards. Doing a quick google search gives the Mosteller formula for BSA which is: BSA = sqrt(W*H/3600) This formula is quite likely the original target of the copy and paste since it has all of the correct values and it's likely that the square root symbol wasn't properly pasted, nor the horizontal bar indicating division. So I'll use the Mosteller formula in solving this problem: First, solve for W, then substitute the known values and calculate: BSA = sqrt(W*H/3600) BSA^2 = W*H/3600 3600*BSA^2 = W*H 3600*BSA^2/H = W 3600*1.96^2/185 = W 3600*3.8416/185 = W 74.755 = W So the weight of the adult is 75 kilograms. If the incorrectly copied equation of Bâ˘Sâ˘A=Hâ‹…W3600 were to be used and if the missing operator between the W and the 3600 were a divide symbol, the calculated value would be 38 kg, which is rather light for someone 185 cm tall since the low end of healthy is 65 kg. And if the missing operator between the W and 3600 was a multiply, then the calculated weight would be 3 micrograms which is way too small for a human being, no matter how starved. However, the value calculated using the Mosteller formula would represent a BMI of 22 which is about average for a normal healthy adult.</span>

8 0

3 years ago

The perimeter of this Hexagon is 162 cm. Each longer side measures 1 cm more than twice a shorter side. Find the length of the l

Elis [28]

Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.

5 0

3 years ago

Which One Is The Answer.??

attashe74 [19]

Option c when we see the median it is found that the median of team b is 34 which is compariatively bigger than the that of team A

5 0

3 years ago