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konstantin123 [22]
2 years ago
13

Please help me in math

Mathematics
1 answer:
Marta_Voda [28]2 years ago
3 0

When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).

The reciprocal of z^-3 would be 1 / z^3.

Hope this helps!! :)

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Elliott is 63 inches tall, which is 9inches taller than cousin, Jackson.write and solve an addition equation to find Jackson hei
Nataly [62]

Answer:

J + 9 = 63

Jackson = 54 inches

Step-by-step explanation:

Using the variable 'J' for the height of Jackson, we know that Elliott is Jackson's height, plus an additional 9 inches.  Since Elliott is 64 inches tall in total, we can add Jackson's height plus 9 to get Elliot's height:

Jackson's height + 9 inches = Elliot's height

J + 9 = 63

Subtract '9' from both sides: J + 9 - 9 = 63 - 9 or J = 54

So, Jackson is 54 inches tall.

3 0
3 years ago
What two numbers multiple to equal 16 but add up to equal -17​
ELEN [110]

Answer:

-16 and -1

Step-by-step explanation:

-16 *-1 = 16

-16+-1=-17

5 0
3 years ago
Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
Name each polygon! Determine if it appears to be a regular or not regular
Juliette [100K]
Triangle,quadrilateral,pentagon,hexagon,octagon,decagon. 

Triangle quadrilateral octagon - regular
rest are not. Someone might need to check me if im right about regular and irregular :) Hope I helped

3 0
3 years ago
The weather report stated that tomorrow's low temperature will be -3 degrees. What does that statement mean?
Ket [755]

Answer:

It means that the lowest the temperature will get that day is -3 degrees

Step-by-step explanation:

6 0
2 years ago
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