I remember CUP -- concave up positive. Here we have a leading coefficient that's negative, so the cup is upside down, the parabola opens down, an arch not a bowl.
Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.
Answer:
60
Step-by-step explanation:
In the function, the growth factor is "a", the base of the exponent. When the exponent is increased by 1, the value is multiplied by "a".
f(7) = a·f(6) = 4·15
f(7) = 60
_____
As you know, the exponent signifies repeated multiplication. So, an increase of 1 in the exponent means the base is part of the product one more time:
a^6 = a·a·a·a·a·a
a^7 = a·a·a·a·a·a·a = a·(a^6)
Answer:
With $1 you can buy 50 Tootsie rolls, and 20 Peppermint Patties.
Step-by-step explanation:
100 divided by 2 = 50
100 divided by 5 = 20
Multiplying both sides by 
gives
so that substituting 
and hence 
gives the linear ODE,
Now multiply both sides by 
to get
so that the left side condenses into the derivative of a product.
![\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E3v%5D%3D3x%5E2)
Integrate both sides, then solve for 
, then for 
:
![\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D%5Csqrt%5B3%5D%7B1%2B%5Cdfrac%20C%7Bx%5E3%7D%7D%7D)
