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Answer:
<em>The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9</em>
Step-by-step explanation:
<u>Fraction of Portion</u>
Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.
For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.
Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:
The division can be easier performed by multiplying by the reciprocal of the denominator:
The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9
Answer: Answer is in the steps..
Step-by-step explanation:
f(x)= - 3x -5
A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.
- 3x - 5 = 0 Now solve using quadratic formula.
x = -b±
x = 3 ±
x = 3 ± / 2a
x= 3 ± 7 /4
x= -1 or x = 5/2
The x intercepts are (5/2,0) and (-1,0)
B) The graph vertex of the graph of f(x) is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.
Using the x coordinates we could find their average and find the x coordinate of the vertex.
=
= 3/4
The x coordinate of the vertex is 3/4 so we will input that into the equation and solve for the y coordinate
= 18/16 - 9/4 -5 = -49/8
The y coordinate of the vertex is -49/8
So the vertex is (3/4, -49/8)
C) First I will graph the vertex and then graph he two x intercepts and connect then like a U shape.