The quotient of 40 and the product of a number and 33
1 answer:
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Answer:
Option A = 7.5 cups
Step-by-step explanation:
Given : Suppose you're making a soup that uses 5 cups of chicken broth and teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need
teaspoons of corn starch.
To find : How much broth do you need?
Solution :
A soup that uses 5 cups of chicken broth and teaspoons of corn starch for 8 servings.
i.e. 5 cups + teaspoon = 8 servings ......(1)
You need to make 12 servings of the soup, so you'll need
i.e. x cups + teaspoon = 12 servings ........(2)
So, First we find the ratio
Ratio is
So to equal the ratio multiply (1) by
cups +
teaspoon =
servings
cups +
teaspoon = 12 servings
On comparing with (2),
The value of x is .
Therefore, The broth do we need is cups.
So, Option A is correct.
Answer:
see explanation
Step-by-step explanation:
(a)
The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)
f(x) = a(x - 1)(x - 5)
To find a substitute (0, 15), the coordinates of the y- intercept into the equation.
15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)
a = 3
Thus h = 1, k = 5, a = 3 and
f(x) = 3(x - 1)(x - 5)
(b)
The axis of symmetry is a vertical line with equation x = c ( c is a constant )
The axis of symmetry passes through the midpoint of the zeros
x = =
= 3
Equation of axis of symmetry is x = 3
(c)
The axis of symmetry passes through P, with x- coordinate x = 3
Substitute x = 3 into the function for corresponding value of y
f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12
Coordinates of P = (3, - 12 )