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tiny-mole [99]
2 years ago
8

Given the function h of x equals 8 times the cube root of x minus 6 end root plus 16, what is the x-intercept of the function?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
3 0

The x-intercept of the function h(x) = 8 * \sqrt[3]{x - 6} + 16 is -2

<h3>How to determine the x-intercept?</h3>

The equation of the function is given as:

h(x) = 8 * \sqrt[3]{x - 6} + 16

The x intercept is the x value when h(x) = 0

So, we have:

8 * \sqrt[3]{x - 6} + 16 = 0

Subtract 16 from both sides

8 * \sqrt[3]{x - 6} = -16

Divide both sides by 8

\sqrt[3]{x - 6} = -2

Take the cube of both sides

x - 6 = -8

Add 6 to both sides

x = -2

Hence, the x-intercept of the function h(x) = 8 * \sqrt[3]{x - 6} + 16 is -2

Read more about x-intercept at:

brainly.com/question/3951754

#SPJ1

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Solve the equation identify extraneous solutions
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Step-by-step explanation:

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x^2=-3x+40

Get everything on one side of the equals sign and set the quadratic equal to 0:

x^2+3x-40=0

Throw this into the quadratic formula to get that the solutions are x = 5 and -8.  We need to see if only one works, both work, or neither work in the original equation.

Does 5=\sqrt{-3(5)+40}?

5=\sqrt{-15+40} and

5=\sqrt{25}

and 5 = 5.  So 5 works.  Let's try -8 now:

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-8=\sqrt{24+40} so

-8=\sqrt{64}

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6 0
4 years ago
Graph a line with a slope of -3 that contains the point (4, -2)
Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

This is the required line equation

5 0
3 years ago
Whats is 0.000001 written as a power of ten
siniylev [52]
You need to move the decimal point to be at 1.

Since this is a decimal, the power will be negative.

I had to move the decimal 6 places.

So,

1^-6

I hope this helps!
~kaikers

8 0
3 years ago
Which is 196 written as a power of a number?<br><br> A) 98^2<br> B) 13^2<br> C) 49^4<br> D) 14^2
kap26 [50]
Its not A. because , 98^2 = 9,604
Its not B. because , 13^2 = 169
Its for sure not C. because, 49^4 = 5,764,801
It is most likey, D. because 14^2 = 196
Option: D 14^2 would most likely be your answer

Reason , because 14(14) = 196 = 14^2


☺

3 0
3 years ago
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