3.1 Q17
1 answer:
Here, you are looking at two numbers, x and y, such that 
, or, if you say that x is the larger of the two, simply 
. You are looking to minimize the value for 
. The smallest possible numbers are 
. You might initially be tempted to think that you should choose an infinitely negative number and a number 18 more than it; however, the product of two negative numbers is positive, so this would become an infinitely large number. Then, it might be tempting to say 18 and 0, because their product, after all, is zero. But it is possible to get a negative product with a positive and a negative number. The least product is when 
, and this will apply for any difference you choose, not just 18.
In sum, it's 9 and –9.
In sum, it's 9 and –9.
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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: 19 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.
Replacing with the values given:
x^2 = 6^2 + 18^2
x^2 = 36+324
x^2 = 360
x = √360
x = 18.97miles = 19 miles
Feel free to ask for more if needed or if you did not understand something.
