Answer: y-intercept = (0, -18)
Step-by-step explanation:
This is a quadratic equation question, where the quadratic equation is in the standard form of [y = ax² + bx + c]
The function of [a] in the equation is to determine the maximum/minimum of the parabola. If [a] is positive, then the parabola opens upward, which is a minimum. If [a] is negative, then the parabola opens downward, which is a maximum.
There aren't any particular functions of [b], but it operates with [a] to find the axis of symmetry.
The function of [c] is the y-intercept. The easiest way to prove this is to let x be zero, then we are left with the value [c]
<u>Solve:</u>
Given: y=-x²+8x-18
a = -1
b = 8
c = -18
Therefore, the y-intercept is (0, -18)
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Answer:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.50x + 43y ≤ 200
Step-by-step explanation:
From the question we are told that:
If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.
The inequalities that models the situation above is given as:
x ≥ 0
y ≥ 0
x + y ≥ 5
Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.
The inequalities that models the situation above is given as:
29.50 × x + 43.00 × y ≤ 200
29.5x + 43y ≤ 200
Therefore, the system of inequalities that could Paige use to model this situation is:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.5x + 43y ≤ 200
Answer:
Part A: Suzanne bakes 350 in 5 hours and cole bakes 400 in 8 hours. Part B: cole can bake more then suzanne but Suzanne has more time to bake more, so i think suzanne bakes at a faster rate then cole
Answer:
so the transitive property can be invoked in step 9
Step-by-step explanation:
Without the figure, it is difficult to tell what these steps do. However, the symmetry of the proof suggests that step 4 can match step 8, and its Reason can be "deduced from steps 2 and 3."
The idea of steps 4 and 8, taken together, is to show that DC and DB are both equal to DA, so the transitive property can be invoked in step 9.
Positive numbers are the cups that are received. While negative numbers are the cups being used for coffe