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OverLord2011 [107]
3 years ago
7

Simplify x^5•x^-5•x^7

Mathematics
2 answers:
Lady_Fox [76]3 years ago
7 0

Answer:

x^7

Step-by-step explanation

you have to add the exponent

Free_Kalibri [48]3 years ago
7 0

Answer: The answer would be x^7

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A person standing on a moving walkway travels 80 feet in 40 seconds. What equation represents the relationship? How many feet wi
mars1129 [50]

Answer:

Option B. y = 2x; 20 feet

Step-by-step explanation:

1. Determination of the equation that represents the relationship.

Let y be the distance travelled.

Let x be the time taken.

Let K be the speed.

From the question given above, the following data were obtained:

Distance (y) = 80 ft

Time (x) = 40 s

Speed (k) =.?

Speed = Distance /time

K = y/x ......... (1)

K = 80/40

K = 2 ft/s

Substitute the value of k into equation 1

K = y/x

K = 2 ft/s

2 = y/x

Cross multiply

y = 2x

Therefore, the equation that represents the relationship is y = 2x

2. Determination of the distance travelled in 10 s.

Speed (k) = 2 ft/s

Time (x) = 10 s

Distance (y) =.?

y = 2x

y = 2 × 10

y = 20 ft

Therefore, the person will travel 20 feet in 10 seconds.

From the above calculations, the right answer to the question is

Option B. y = 2x; 20 feet

6 0
3 years ago
(y-7) = 5х+4 <br> can someone please solve that for me !
zimovet [89]

Answer: Sure, Y = 5x + 11

Step-by-step explanation:

you only need to add 7 to both sides once you take them out of the ( ).

7 0
3 years ago
Read 2 more answers
Please Solve: 3x-22y when x=2 and y=10
ExtremeBDS [4]

Answer:

-214.

Step-by-step explanation:

3x - 22y     When x = 2 and y = 10 we have:

3(2) - 22(10)

= 6 - 220

= -214.

8 0
3 years ago
Read 2 more answers
Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. Graph the parabola by first plotting its vertex and then p
alina1380 [7]

Answer:

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function f(x)=x^2-12x+27

We have to plot the given quadratic function.

Consider the Given quadratic function f(x)=x^2-12x+27

The general form of quadratic function  is given f(x)=a(x-h)^2+k

Where, (h, k)  is vertex , given  h =\frac{-b}{2a} and k = f(h)  

Thus, for given quadratic function f(x)=x^2-12x+27

a = 1 , b= -12 , c = 27

Thus,

h =\frac{-b}{2a}=\frac{12}{2}=6

k = f(h) that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given  quadratic function f(x)=x^2-12x+27 in standard form is f(x)=(x-6)^2-9  

Thus, vertex is (6 , -9)

For second point put f(x)=0  , we get,

f(x)=(x-6)^2-9=0  

\Rightarrow (x-6)^2-9=0  

\Rightarrow (x-6)^2=9  

\Rightarrow (x-6)=\pm 3  

\Rightarrow x= 6\pm 3  

Thus, \Rightarrow x=6+3=9 and \Rightarrow x=6-3=3  

thus, points are (9,0) and (3,0)

Graph is attached below.

5 0
4 years ago
Mary lives 1365 miles from Brady. Brady drives at a constant rate of 60 mph and Mary travels at a constant rate of 45 mph. If th
Pavel [41]

Let X be the number of hours

Brady drives 60 mph for X number of hours, which is written as 60x.

Mary drives 45 mph for x number of hours, which is written as 45x.


The equation to solve for the number of hours is:

60x + 45x = 1365

Simplify:

105x = 1365

Divide both sides by 105:

x = 1365 / 105

x = 13 hours.

8 0
3 years ago
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