Answer:
Step-by-step explanation:
Based on the given conditions, formulate:
Convert decimal to fraction:
Divide a fraction by multiplying its reciprocal:
Cross out the common factor:
Calculate the product or quotient:
get the result:
Answer:
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
a) The graph is attached
b) The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:
The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.
c) y = 2.5x
put x = 48 mm
y = 2.5(48)
y = 120 miles
The actual distance between Toledo and Columbus is 120 miles
d) y = 2.5x
Put y = 225 miles
225 = 2.5x
x = 225/2.5
x = 90 mm
The distance on map between Cincinnati and Cleveland is about 90 mm.
Answer:
The systems of equation are .
Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.
Step-by-step explanation:
Let the number of hours worked by Vanessa be 'v'.
Let the number of hours worked by Geneva be 'g'.
Given:
Total number of hours worked = 21 hours
So we can say that;
Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.
framing in equation form we get;
⇒ equation 1
Also given:
per hour earnings of Vanessa = $10
per hour earning of Geneva = $12
Total they need to earn = $240
So we can say that;
Total they need to earn would be equal to sum of per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.
framing in equation form we get;
⇒ equation 2
Hence The systems of equation are .
On Solving above equations we get;
First we will multiply equation 1 by 10 we get;
⇒ equation 3
Now Subtracting equation 3 from equation 2 we get;
Dividing both side by 2 we get;
Now Substituting the value of g in equation 1 we get;
Hence Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.