Let
x = loaves of bread
y = batches of muffins
You must make a system of two equations with two unknowns that describe the problem
3.5x + 2.5y = 17 --- (1)
0.75x + 0.75y = 4.5 --- (2)
Resolving we have
x = 6-y (from (2))
replacing in (1)
3.5 (6-y) + 2.5y = 17
21 - 3.5y + 2.5y = 17
y = 21-17 = 4
Then substituting in (2)
x = 6-y = 6-4 = 2
Answer
Helena could bake:
2 loaves of bread
4 batches of muffins
Answer:
cups
Step-by-step explanation:
We are told that a recipe calls for one half cup of ingredient A for every 1 and two thirds cups of ingredient B.
To find the number of cups of ingredient B we will use proportions.
Now let us substitute our amount of Ingredient A =4 in our proportions.
Multiplying both sides of our equation by 4.
Therefore, we need cups of ingredient B to make our recipe.
The reference angle is the positive angle formed by the terminal side of the angle and x-axis:
7 π / 6 = 210° = 180° + 30°
Answer: The reference angle is 30°.
The directrix of the parabola is
<h3>How to determine the equation of the directrix?</h3>
The parabola equation is given as:
A parabola is represented as:
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
Take the LCM
Evaluate
Hence, the directrix of the parabola is
Read more about parabola at:
brainly.com/question/1480401
#SPJ1
Vertical parabola opens down so
(y-k)^2=4P(x-h)
(h,k) is center
P is distance from directix to center and from center to focus (it is 1/2 distance between focus and directix)
-1 to -1/2 is a distance of 1/2
1/2 of 1/2=1/4
P=1/4
so move 1/4 down from -1/2
-3/4
center is (2,-3/4)
so
y+3/4=(x-2)^2
minus 3/4
y=(x-2)^2-3/4
f(x)=(x-2)^2-3/4
you made an error, either the last or first option doesn't have -(x+2)^2