Answer:
-2x² + 90x + 500
Step-by-step explanation:
Use FOIL method
Area of rectangle = length * width
= (50 - x)(2x + 10)
= 50*(2x) + 50*10 + (-x)*2x + (-x)*10
= 100x + 500 - 2x² - 10x
= -2x² + 10<u>0x - 10x </u>+ 500 {Combine like terms}
= -2x² + 90x + 500
7 bc I’m so smart thank you ciaoooooo
solution:
Consider the differential equation,
7ty + (1+t2)1/2y1 = 0
Rewrite the DE as,
(1+t2)1/2dy = - 7ty
dy/y = -7t/√1+t2 dt
in y = -7(1+t2) + c
y = ce-7(1+t2)
given,
y(0) = 1 => ce-7 = -1 => c = e7
ᴪ (t,y) = y -ce ᴪ(0,1)(1+t2)
Step-by-step explanation:
If two quantities A and B are proportional, then:
B = kA
where k is a constant.
We can check if these are proportional by seeing if the ratio between A and B is the same at each point:
B/A = k
92/35 = 2.629
80/23 = 3.478
The ratios aren't the same, the relationship is not proportional.
answer:number of cupcakes sold is 13 Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13
