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Alja [10]
3 years ago
13

Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0
\frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}]

We will apply these following power rule

x^m*x^n = x^{m+n}
x^m/x^n=x^{m-n}

[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]
[x^{8-14}][y^{-26-5}][x^{-39}y^{-21}]
x^{-6}y^{-21}[x^{-39}y^{-21}]
[x^{-6-39}][y^{-21-21}]
x^{-45}y^{-42}
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Find the equation of a line traveling through the points (-6, -5) and (12, 7).<br>Helpp pls due soon
arlik [135]
I really don’t understand sorry
4 0
2 years ago
A) What is the domain and range of the graph? (Use the equations editor or explain)
riadik2000 [5.3K]

The domain: -5 < x ≤ 1 and the range: -3 ≤ y ≤ 1 is a function. b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

<h3>What is the domain and range of the function?</h3>

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The domain of a relation is the set of values of the independent variable for a defined function.

The domain is the horizontal extent of the graph.

The range of a relation is the set of values of the dependent variable for a defined function.

The range is the vertical extent of the graph.

The vertical line can intersect the graph in at most one place.

a)

This graph extends from x > -5 to x = 1.

The domain

 -5 < x ≤ 1   ------   (-5, 1] in interval notation

This graph extends from y = -3 to y = 1.

The left side of the graph does not include the point (-5, 1), but the right side includes the point (1, 1).

y = 1 is one of the output values of the relation.

The range

 -3 ≤ y ≤ 1 . . . . . . . . [-3, 1] in interval notation

b)

No, the vertical line crosses the graph in more than one place, therefore, the relation shown is a function.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ1

8 0
2 years ago
Elijah gets paid $15.50 per hour in addition to a weekly salary of $50. This week he wants to earn more than $400. How many hour
8090 [49]
H=number of hours
m=total salary
m=15.50h+50
put 400 in for m
400=15.50h+50
now solve for h
400=15.50h+50
-50. -50
350=15.50h
Divide 350 by 15.50to get your final answer
you get a long decimal so I rounded it.
22.6 hours
4 0
3 years ago
X°+(x+30)=180°<br>I need answer​
djyliett [7]

Answer:

210 + -1x

Step-by-step explanation:

Simplifying

X + (x + -30) = 180

Reorder the terms:

X + (-30 + x) = 180

Remove parenthesis around (-30 + x)

X + -30 + x = 180

Reorder the terms:

-30 + X + x = 180

Solving

-30 + X + x = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + X + 30 + x = 180 + 30

Reorder the terms:

-30 + 30 + X + x = 180 + 30

Combine like terms: -30 + 30 = 0

0 + X + x = 180 + 30

X + x = 180 + 30

Combine like terms: 180 + 30 = 210

X + x = 210

Add '-1x' to each side of the equation.

X + x + -1x = 210 + -1x

Combine like terms: x + -1x = 0

X + 0 = 210 + -1x

X = 210 + -1x

Simplifying

X = 210 + -1x

7 0
2 years ago
John has a storage bin in the shape of a rectangular prism the storage bed is still in the and 1/2 ft long 2 ft wide and 2 ft ta
Phoenix [80]

We know, volume of rectangular prism is given by :

V = lbh\\\\V=\dfrac{1}{2}\times 2\times 2\ ft^2\\\\V=2\ ft^2

Volume of cubic box :

v=a^3\\\\v=(\dfrac{1}{2})^3\ ft^3\\\\v=\dfrac{1}{8}\ ft^3

Number of cubes can be filled :

N=\dfrac{V}{v}\\\\N=\dfrac{2}{\dfrac{1}{8}}\\\\N=16

Therefore, 16 cubes can be put in the bin.

Hence, this is the required solution.

8 0
3 years ago
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