Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2 cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2 to improper fraction.
Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.
Now let's cross multiply, we get
Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x = cups
So the baker needs cups to make 90 cookies.
2(3x + 4) / 2(2x + 2)
Cancel the factored 2s
3x + 4 / 2x + 2
You may need to further factor the denominator, depending on the teacher.
3x + 4 / 2(x + 1)
Sinusoidal equations are trigonometric functions involving sine and cosine functions. Graphically, they look like wave patterns having amplitudes and periods. The general form of a sinusoidal equation is
y = A sin(Bx + C) + D
where
A = amplitude
B = frequency
C = shift on starting angle
D = shift of wave on the y-axis
From the given problem, A = 1 and D = 3. There is no value for C because there is no mention of any shift in angle. About the frequency, you can obtain this by getting the reciprocal of the period. Thus, B = 2/π. The complete equation is
y = sin(2x/π) + 3
x+(-5x) = 12
or, -4x = 12
or, x = 12/-4 = -3
The value of x is -3 so plot -3