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Harrizon [31]
3 years ago
6

Please someone should help me solve it 2x ÷ x^ - 4

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

The answer is

<h2>{2x}^{5}</h2>

Step-by-step explanation:

<h3>\frac{2x}{ {x}^{ - 4} }</h3>

First of all separate the two from the x

That's

<h3>\frac{2(x)}{ {x}^{ - 4} }</h3>

Next we use the rules of indices

Since they have the same base and are dividing we subtract the exponents

That's

<h3>\frac{ {a}^{x} }{ {a}^{y} }  =  {a}^{x - y}</h3>

So we have

<h3>\frac{2(x)}{ {x}^{ - 4} }  = 2( {x}^{1 -  - 4)}  = 2( {x}^{1 + 4} )</h3>

We have the final answer as

<h3>{2x}^{5}</h3>

Hope this helps you

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A family has two cars. The first car has a fuel efficuency of 15 miles per gallon of gas and the second has a fuel efficiency of
SVEN [57.7K]

Answer:

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

Step-by-step explanation:

Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

Let x= gallons consumed by 1st car

and y= gallons consumed by 2nd car

Total gallons consumed by both cars = 75

so, we can write

x + y = 75

Miles covered by both cars = 1925 miles

and we know, Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

we can write the equation as

15 x + 35 y = 1925

where x and y are gallons consumed by 1st and 2nd car.

We have two equation now,

x + y = 75                   (1)

15 x + 35 y = 1925     (2)

Multiplying eq(1) with 15 and subtracting eq (1) and 2

15 x + 15 y = 1125

15 x + 35 y = 1925

-       -            -

_______________

0 - 20 y = -800

y= -800 / -20

y = 40

Putting value of y in equation 1

x + y = 75

x + 40 = 75

x= 75 - 40

x = 35

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

4 0
3 years ago
Which theorem would be used to prove the triangles below as congruent?
Stells [14]

Answer:

  A:  HL

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

4 0
2 years ago
Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students
OLga [1]

Answer:

I think it’s C

Step-by-step explanation:

6 0
3 years ago
7 What is the value of the expression -3x^2 y +4x when x = -4 and y = 2
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<span> -3x^2 y +4x 
</span><span> =-3(-4)^2 (2) + 4(-4)
=-96-16
=-112</span>
7 0
4 years ago
Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle
Sindrei [870]

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

<h3>How can the distance between Vic and Dan be calculated?</h3>

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

tan( \theta) =  \frac{opposite}{adjacent}

tan( 61 ^{ \circ}) =  \frac{553.3}{ Vic' s\: distance \: to \: tower}

distance  =  \frac{553.3}{tan ( {61}^{ \circ} )}  = 306.7

  • Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

Dan's distance  =  \frac{553.3}{tan ( {72}^{ \circ} )}  = 179.8

  • Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;

  • d = √(306.7² + 179.8²) ≈ 356

Therefore;

  • Vic is approximately 356 meters from Dan

Learn more about Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

4 0
2 years ago
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