Raise 8 to the 5th power, then subtract the result from h. What would the expression be?

1 answer:

7 0

The equation would look like this:

h - 8⁵

To solve for the value of h.
It must be in standard form, where one side is equal to 0.

h - 8⁵ = 0
h = 8⁵
h = 8 x 8 x 8 x 8 x 8
h = 32,768

The exponent above the number indicates the number of time its base will be multiplied by itself. In this case, the base will be multiplied 5 times.

To check: h = 32,768
h - 8⁵ = 0
32,768 - 32,768 = 0
0=0

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nikdorinn [45]

Answer:

The equation does not have a real root in the interval $\rm [0,1]$

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if $f$ is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in $\rm [0,1]$ , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval $\rm [0,1]$ , which means to evaluate the equation in 0 and 1:

$f(x)=x^3-3x+8\\f(0)=8\\f(1)=6$

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval $\rm [0,1]$ . I attached a plot of the equation in the interval $\rm [-2,2]$ where you can clearly observe how the graph does not cross the x-axis in the interval.

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2 years ago

(2) (x-7) (=3) (x+8)

Tasya [4]

Use the distributive property to get 2x - 14 = 3x + 24. Subtract 24 from both sides to get 2x - 38 = 3x. Subtract 2x from both sides to get -38 = x.

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3 years ago

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slamgirl [31]

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attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

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