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3 years ago

A number to the 12th power divided by the same number to the 9th power equals 343. What is the

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

Explanation:

Let's call our number

. The statement written as a formula is

125

We can simplify the fraction, and we have

125

To solve for

, take the third root of both sides:a

(

125

)

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Two friends are biking. Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour The table sh

Alinara [238K]

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

<h3>What is speed?</h3>

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:

Distance covered = 12 mph * x = 12x miles

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

Find out more on speed at: brainly.com/question/4931057

7 0

2 years ago

I Really Need Help With This One Can Some One Plz Help Me?

Lapatulllka [165]

1.6²=1.6 times 1.6=2.56

4 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

$\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}$

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

$2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54$

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

$f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60$

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

<u><em>Solution = Option A</em></u>

3 0

3 years ago

Which real numbers are zeros of the function?

monitta

<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.

6 0

3 years ago

What is the value of y in the parallelogram below?

vredina [299]

In a parallelogram, consecutive angles are supplementary.

3y + 78 = 180

3y = 102

y = 34

4 0

3 years ago

Read 2 more answers