Since both is equal to p(a), you can set them as equal to each other:
15 = 2a - 3
18 = 2a
9 = a
10) (9,-3); m=2
(a) y=2x-11
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21.
FINAL ANSWER::y=2x-21
(b) y=2x-21
Plug in the variables that are constant on both the given line and the new one.
y=mx+b
-3=2(9)+b
Do not input b, as the y intercept is relative to the specific line, and not others.
-3=18+b
-3-18=b
-21=b
The y intercept of the new line is -21
FINAL ANSWER::y=2x-21
Or equivalent to the original.
Hope this helps you solve the rest. ;)
Answer:
In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.
In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.
In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.
Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.
Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.
So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.
Step-by-step explanation:
Y *x =20
y +x =9
rewrite 1st eq. as y = 20/x
subsituute that into 2nd eq.
20/x +x =9
multiply each term by X
20 +x^2 = 9x
subtract 9x from each side:
x^2 - 9x +20 = 0
now factor:
(x-5) (x-4) = 0
solve for x
5-5 = 0
4-4 = 0
so X can be 4 or 5
replace x into equations and solve for Y
so when X = 4, Y = 5
When X = 5, Y = 4
x= 5,4
y = 4,5
I believe the correct answer from the choices listed above is option A. If DF+FE=DE, then point F is <span>A. a midpoint of DE (with line over). F is the endpoint of line segment DF and is the starting point of line DE thus it is in between line DE. Hope this answers the question.</span>
