Answer:
5/7
Step-by-step explanation:
You can convert them to fractions to answer:
7/5=1.4
5/7=0.714
7/5 is 0.4 away from 1, while 5/7 is 0.3 away.
Answer:
(0,2)
Step-by-step explanation:
I'm going to assume you meant Which point is ON the graph of f(x) = 2 * 5^x?
In order to do this question, all you need to do is pick any number as x. Lets pick 0 in this case.
f(x) = 2 * 5^x
f(0) = 2*5^0
= 2*1
= 2
So one point on the graph would be (0,2)
Why?
Because remember with functions, the f(x) can be swapped out with y, so when x = 0, y = 2.
Step 1: Simplify both sides of the equation.
7−3x=3(3−x)−2
7+−3x=(3)(3)+(3)(−x)+−2(Distribute)
7+−3x=9+−3x+−2
−3x+7=(−3x)+(9+−2)(Combine Like Terms)
−3x+7=−3x+7
−3x+7=−3x+7
Step 2: Add 3x to both sides.
−3x+7+3x=−3x+7+3x
7=7
Step 3: Subtract 7 from both sides.
7−7=7−7
0=0
So all real numbers
The speed of the current in a river is 6 miles per hour
<em><u>Solution:</u></em>
Given that,
Speed of boat in still water = 20 miles per hour
Time taken = 3 hours
Distance downstream = 78 miles
To find: Speed of current
<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: </u></em>
Speed downstream = (u + v) km/hr
Speed upstream = (u - v) km/hr
<em><u>Therefore, speed downstream is given as:</u></em>

We know that,
Speed downstream = (u + v)
26 = 20 + v
v = 26 - 20
v = 6 miles per hour
Thus speed of the current in a river is 6 miles per hour
Answer:
A) JK and LM will be parallel to each other.
Step-by-step explanation:
On reflection on
line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

Points on line EF

On reflection of this line on
the new points we get for line JK are

Points on line GH

On reflection on y=x line the new points we get for line LM are

Slope of line JK

Slope of line LM

For two line to be parallel, their slopes will be same.

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.