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SVETLANKA909090 [29]
3 years ago
13

Tarting at home, Emily traveled uphill to the hardware store for 60 minutes at just 6 mph. She then traveled back home along the

same path downhill at a speed of 12mph. What is her average speed for the entire trip from home to the hardware store and back?
Mathematics
1 answer:
erik [133]3 years ago
6 0
6+12=18

18÷2=9

Emilys average speed is 9mph
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Find thr valuse of x, rounded to the nearest tenth.<br><br>3.8<br>4<br>2.7<br>2.9​
irina1246 [14]

Answer: 4  (OPTION 2)

Step-by-step explanation:

1. To solve this problem you must apply the  Intersecting secants  theorem, as you can see below:

(A+B)B=(C+D)D

Where:

(A+B)=6

B=x\\(C+D)=8\\D=2

2. Then you must susbstitute values and solve for x, as following:

6x=24\\x=24/6\\x=4

Therefore the answer is the second option.

3 0
3 years ago
Read 2 more answers
Given f(x) = 7x^9, find f^-1 (x). Then state whether f^-1 (x) is a function
Olin [163]
A though without graphing software it would appear to be C


Step-by-step explanation:
The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.
y = 7x^9
x = 7y^9
x/7 = y^9
(9)√(x/7) = y
This is a ninth root of (x/7) also written in exponents as y = (x/7)^(1/9).
This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.
7 0
3 years ago
Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3
Liula [17]

Answer:

Yes, (6, -2) is a solution to the given system of equations.

Step-by-step explanation:

Please write  y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:

y = (–1/6)x − 1

y = (1/6)x − 3

Let's actually solve this system:

y = (–1/6)x − 1

y = (1/6)x − 3

-----------------------

2y = -4, or y = -2

Now find x.  Arbitrarily we choose to use the first equation for this purpose:

y = (-1/6)x - 1.  We set y = -2 and find x:    -2 = (-1/6)x - 1

Combining the constants, we get -1 = (-1/6)x, or 6 = x

Yes, (6, -2) is a solution to the given system of equations.

5 0
3 years ago
Please ASAP because i need to submit nowww
Maslowich

Answer:

(-8 , 2)

Step-by-step explanation:

5 0
2 years ago
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