(-5x+7y=11) - (-5x+3y=19) =
4y = -8. (divide both sides by 4)
y = -2
Substitute
-5x + 7(-2) =11
-5x - 14 =11
-5x = 25
x = -5
y = -2 and x = -5
Answer:
(0,-3), (-5,-5)
Step-by-step explanation:
Plug in x and y and see in which case = -15
-2(0)+5(5)= 25 no
-2(0)+5(-3)= -15 yes
-2(-5)+5(-1)= 5 no
-2(-5)+5(-5)= -15 yes
-2(10)+5(-1)= -25 no
-2(-10)+5(7)= 55 no
Answer:
The height of the projection will be (x - 5) feet.
Step-by-step explanation:
A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).
Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).
Here, (x² - 8x + 15)
= x² - 3x - 5x + 15
= (x- 3)(x - 5)
Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)
Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial amount of bacteria = 50000
- Growth rate = 2 times a day
<u>Required equation:</u>
<u>Solve for x:</u>
- 400000 = 50000*2^x
- 2^x = 400000/50000
- 2^x = 8
- 2^x = 2^3
- x = 3
After 3 days bacteria numbers will reach 400000
