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2 years ago

The cube root is like the square root and should only be defined on the positive x-axis?

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

8 0

Statement Problem: The cube root is like the square root and should only be defined on the positive x-axis?

Solution:

The cube is unlike the square root because the result of a cube root can be any real number, that is positive values, negative values and zero.

Also, the radicand of a cube root can be negative while still achieving a real result for the cube root. But when a radicand of a square root is negative, then the result is a complex number.

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<img src="https://tex.z-dn.net/?f=f%28x%29%3D2%28x%29%5E%7B2%7D%2B5%5Csqrt%28%7Bx%7D%20%2B2%29" id="TexFormula1" title="f(x)=2(x

Delvig [45]

Answer:

f(2)=18

Step-by-step explanation:

$f(x)=2(x)^2+5 \sqrt{x+2}\\f(2)=2(2)^2+5 \sqrt{2+2}\\=2*4+5\sqrt{4} \\=8+5*2\\=8+10\\=18$

7 0

3 years ago

Find the exact value by using a half-angle identity.<br><br> tan seven pi divided by eight

murzikaleks [220]

9514 1404 393

Answer:

1 -√2

Step-by-step explanation:

$\tan(x/2)=\dfrac{1-\cos(x)}{\sin(x)}\\\\\tan\left(\dfrac{1}{2}\cdot\dfrac{7\pi}{4}\right)=\dfrac{1-\cos\dfrac{7\pi}{4}}{\sin\dfrac{7\pi}{4}}=\dfrac{1-\dfrac{1}{\sqrt{2}}}{-\dfrac{1}{\sqrt{2}}}=\boxed{1-\sqrt{2}}$

tan(7π/8) = 1 -√2

7 0

3 years ago

TRUE or FALSE: Billy is paid $32 for 8 hours of work. He gets peid $4 per hour

Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

We know Billy is paid $32 for 8 hours of work.

All we have to do is divide 32 by 8 to see if whether he gets paid 4 dollars an hour,

32/8

==> 4

This is true

5 0

3 years ago

Organic green seedless grapes cost $6.49 for 400 g. How much would 800 g cost? $ Hint Example I! Calc

Dmitriy789 [7]

Answer:

800 g would cost $12.98

since 800 g is double 400 g just multiply 6.49 by 2.

7 0

3 years ago

Solve: Mike rolls two number cubes. What is the probability that the sum of the two number will be less than 4?

galina1969 [7]

The probability that the sum of the two number will be less than 4 is $\frac{1}{12}$

Explanation:

It is given that Mike rolls two number cubes.

It is given by the sample space S.

Let A be the event that the sum of the two number will be less than 4.

The sample space is given by

$S=\left\{\begin{array}{l}(1,1),(1,2),(1,3),(1,4),(1,5),(1,6) \\(2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6) \\(4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6) \\(6,1),(6,2),(6,3),(6,4),(6,5),(6,5)\end{array}\right.$

Hence, the total probability of the sample space is $P(S)=36$

To determine the probability of the sum of the two number will be less than 4, we need to add the outcomes of the two numbered cubes which results in the value less than 4.

Thus, we get,

$A=(1,1),(1,2),(2,1)$

Thus,

$P(A)=3$

The probability that the sum of the two number will be less than 4 is given by

$\frac{P(A)}{P(S)} =\frac{3}{36}$

$\frac{P(A)}{P(S)} =\frac{1}{12}$

Thus, the probability that the sum of the two number will be less than 4 is $\frac{1}{12}$

4 0

3 years ago