Answer: To make 3 dozen cookies you will need 3 1/4 sticks of butter.
Answer:
Step-by-step explanation:
The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph
Therefore, the piecewise function shown in the quadratic graph is given as follows;
f(x) = x² + 3; x < 1
The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of <em>x</em> to the boundaries of the graph
Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2
The equation of the function is y - 3 = -2·(x - 1)
∴ y = f(x) -2·x + 2 + 3 = -2·x + 5
f(x) = -2·x + 5; x ≥ 1
Answer: 61.1
Step-by-step explanation: The answer would be 61.1 because .062 is greater than .05, which means that it rounds up.
Answer:
b) y = 3x + 1
y = x+1
Step-by-step explanation:
Select all the systems of equations that have exactly one solution.
a)
y = 3x + 1
y = 3x + 7
y - 3x = 1.... Equation 1
y - 3x = 7...... Equation 2
We solve using Elimination
We Subtract Equation 2 from 1
(y - y ) - (3x - 3x) = 7 - 1
0 = 6
b) y = 3x + 1...... Equation 1
y = x +1...... Equation 2
x = y - 1
We substitute y - 1 for x in Equation 1
y= 3(y - 1) + 1
y = 3y - 3 + 1
y - 3y = -3 + 1
-2y = -2
y = -2/-2
y = 1
Solving for x
x = y - 1
x = 1 - 1
x = 0
x = 0, y = 1,
The Equations in b) have only one solution
c) x+y=10
x = 10 - y
2x+2y=20
We substitute
2(10 - y) + 2y = 20
20 - 2y + 2y= 20
-2y + 2y = 20 - 20
0 = 0
It has no solution
d) x+y=10.... Equation 1
x+y=12..... Equation 2
We solve using Elimination
We Subtract Equation 2 from 1
x - x + y - y = 12 - 10
0 = 2