Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of coffee, y represent the amount of tea and z represent the amount of donuts, hence:
x + y + z = 320 (1)
Also:
1.5x + 2y + 0.75z = 415 (2)
And:
x = 3y (3)
From the equations:
x = 150, y= 50 and z = 120
Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.
Find out more on equation at: brainly.com/question/2972832
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Answer:
y = -
x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)
m =
=
= -
, hence
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 9, 6), then
6 = 3 + c ⇒ c = 6 - 3 = 3
y = -
x + 3 ← in slope- intercept form
Answer: answer is a
Step-by-step explanation:
To solve the problem we will substitute the value of x in the given function.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given to us
To find the values of the Table
To find the values of y simply substitute the value of x in the function given,
<h3>Values of y for the function</h3>
A.) (−8, y)
![f(x) = y = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![y = \sqrt[3]{-8}\\\\y = -2](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B-8%7D%5C%5C%5C%5Cy%20%3D%20-2)
(−8, -2)
B.) (−1, y)
![f(x) = y = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![y = \sqrt[3]{-1}\\\\y = -1](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B-1%7D%5C%5C%5C%5Cy%20%3D%20-1)
(−1, -1)
C.) (0, y)
![f(x) = y = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![y = \sqrt[3]{0}\\\\y =0](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B0%7D%5C%5C%5C%5Cy%20%3D0)
(0, 0)
D.) (1, y)
![f(x) = y = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![y = \sqrt[3]{1}\\\\y =1](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B1%7D%5C%5C%5C%5Cy%20%3D1)
(1, 1)
E.) (8, y)
![f(x) = y = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![y = \sqrt[3]{8}\\\\y =2](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B8%7D%5C%5C%5C%5Cy%20%3D2)
(8, 2)
The plot of the points on the function is shown in the below image.
Learn more about Functions:
brainly.com/question/5245372