This value of "a" is exactly the y-coordinate of the vertex of the parabola
y = x%5E2+%2B+4x++-+31.
To find it, complete the square:
x%5E2+%2B+4x++-+31 = %28x%2B2%29%5E2+-+4+-+31 = %28x%2B2%29%5E2+-+35.
So, this value of "a" is a = -35.
Figure. Plot y = x%5E2+%2B+4x++-+31.
Ax^2+bx+c=0 is the standard form, so we add 5 to both sides to get
1*x^2+(-10)x+21=0
They’ve already played 20 games and there are 40 remaining, so 60 total games.
80 * .625 = 37.5, so they need to win at least 38 games to make the playoffs. So they must win 30 more games. If they do so they’ll have won 38 out of 60. Winning 2 games out of 5 in the playoffs means their total is 40 out of 65. 40/65 = .6153 = 61.5%.
Jackson sold 27 pounds of bananas and 12 pounds of grapes.
Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:
- 25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
- 26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
- 27 x 1 + 12 x 2.25 = 27 + 27 = 54
Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.
Learn more about quantities in brainly.com/question/25823155
Exponential:
It is called the exponential function of base a, to that whose generic form is f (x) = a ^ x, being a positive number other than 1.
Every exponential function of the form f (x) = a^x, complies with the followingProperties:
1. The function applied to the zero value is always equal to 1: f (0) = a ^ 0 = 1
2. The exponential function of 1 is always equal to the base: f (1) = a ^ 1 = a.
3. The exponential function of a sum of values is equal to the product of the application of said function on each value separately.
f (m + n) = a ^ (m + n) = a ^ m · a ^ n
= f (m) · f (n).
4. The exponential function of a subtraction is equal to the quotient of its application to the minuend divided by the application to the subtrahend:
f (p - q) = a ^ (p - q) = a ^ p / a ^ q
Logarithm:
In the loga (b), a is called the base of the logarithm and b is called an argument, with a and b positive.
Therefore, the definition of logarithm is:
loga b = n ---> a ^ n = b (a> 0, b> 0)
