Answer:
1 at (2.5, 2.5)
Step-by-step explanation:
you can try graphing it on desmo
1) Distribute
2x + 28x + 21
2) Combine like terms
30x + 21
Since there are no more like terms, 30x and 21 cannot be combined. Therefore, the answer is 30x+ 21
Answer:
y=1/∛4 divides the area in half
Step-by-step explanation:
since the minimum value of x² is 0 (for x=0 ) and for y=1
1 = 25*x² → x= ±√(1/25) = ±1/5
then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus
Area below x=C = Area above x=C
Area below x=C = Total area - Area below x=C
2*Area below x=C = Total area
Area below x=C = Total area /2
∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5
25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]
2*c³/3 = (1/5)³/3
c = 1/(5*∛2)
thus
y=25* x² = 25*[1/(5*∛2)]² = 1/∛4
thus the line y=1/∛4 divides the area in half
Answer:
V= 120
Step-by-step explanation:
due to the formula, V=1/3 * S * H = 1/3 * (9*4) * 10= 1/3*360= 360/3= 120
C(t)=26t^2+168t+4208, and we wish to know when C(t)=15000
26t^2+168t+4208=15000
26t^2+168t-10792=0
They want you to use the quadratic formula...
For a quadratic of the form ax^2+bx+c=0, the quadratic formula is:
x=(-b±√(b^2-4ac))/(2a), in this case we have:
x=(-168±√1122368)/52, since x>0
x≈17.14
1958+17.14≈1975.14
So by 1976 the number of new cars will reach 15000.