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DedPeter [7]
3 years ago
5

Which is the simplified form of

Mathematics
2 answers:
Tatiana [17]3 years ago
7 0

Answer:

The simplified form of n to the -6th power times p to the 3rd power is p^3/n^6.

Step-by-step explanation:

Gemiola [76]3 years ago
5 0

For this case we have that by definition of properties of powers, it is fulfilled that:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

We have the following expression:

n ^ {- 6} * p ^ 3

We can rewrite it as:

\frac {p ^ 3} {n ^ 6}

Finally:

n ^ {- 6} * p ^ 3 = \frac {p ^ 3} {n ^ 6}

Answer:

Option C

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The pictures is where my question is someone please answer it.
Naddik [55]

Answer:

functions: first one, third one, fifth one, seventh one, eigth one

the rest are not function

Step-by-step explanation:

if it is a function it either passes the line test or it doesnt have two outputs

8 0
2 years ago
Can someone please clearly and correctly solve and show me how to work out QUESTION 3 AND 4??
vredina [299]
There are 2 options to solve that.
1. The first one is by derivatives. 
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)

For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)

3 0
2 years ago
Write the number in standard notation. 4.16 *10^-5 0.00000416 0.0000416 0.000416 –208
zalisa [80]
4.16\cdot10^{-5}\\\\move\ the\ decimal\ 5\ place\ left\\\\4.16\cdot10^{-5}=0.0000416
4 0
3 years ago
Which of the following equations represents the line that is graphed on the coordinate grid below
vladimir2022 [97]

Answer:

C

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.

7 0
2 years ago
5. Consider the following equations.
WITCHER [35]

Answer:

Step-by-step explanation:

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

4x - 2y = -6

-2y = -4x- 6

y = (-4/-2)x -(6/-2)

y = 2x + 3....slope here is 2, and y int is 3

3x + y = 3

y = -3x + 3.....slope here is -3, and y int is 3

B. slopes are different, y intercepts are the same

3 0
3 years ago
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