Answer:
The correct answer is in bold below written in two different ways. I think that the two middle options of your problem were given by mistake. The correct answer is not in the options.
Step-by-step explanation:
cost of yogurt = cost of toppings + cost of yogurt with 1 topping
cost of yogurt with 1 topping = $3.65
cost of yogurt = cost of toppings + 3.65
cost of 1 additional topping = $0.45 * 1
cost of 2 additional toppings = $0.45 * 2
cost of x additional toppings = $0.45 * x = 0.45x
Since 1 topping is included in the $3.65 charge, if you pay for x additional toppings, you will have x + 1 total number of toppings. That means you must pay for only x - 1 additional toppings to have a total of x toppings.
One topping is already included in the $3.65 charge, so you pay for only x - 1 additional toppings.
cost of x - 1 additional toppings = 0.45(x - 1)
cost of yogurt = 0.45(x - 1) + 3.65
y = 0.45(x - 1) + 3.65
y = 0.45x - 0.45 + 3.65
y = 0.45x + 3.2
Answer:
(x+3)(x−2)/(x+7)^2 ≥0 when x ≤ -3 or x ≥ 2.
Step-by-step explanation:
(x+3)(x−2)/(x+7)^2 ≥0
The critical values are (x + 3)(x - 2) = 0.
That is when x = -3 and x = 2.
Set up a table:
x < - 3 x = -3 -3 < x < 2 x = 2 x > 2
x + 3 -ve 0 +ve 0 +ve
x - 2 -Ve -ve -ve 0 +ve
(x+7)^2 +ve +ve +ve +ve +ve
Whole
function + ve 0 - ve 0 +ve
So the function is ≥ 0 when x ≤ -3 and x ≥ 2.
Answer:
5:9 | 5/9 | 5 to 9
Step-by-step explanation:
you can choose any form
Answer:
5 ≤ x ≤ 50; Billy needs to make at least 5 more pizzas but no more than 50
Step-by-step explanation:
Let
x -----> the number of pizzas
we have the compound inequality

Divide the compound inequality into two inequalities
----> inequality A
The solution of the inequality A is the interval -----> (-∞,50]
-----> inequality B

Rewrite

The solution of the inequality B is the interval -----> [5,∞)
therefore
The solution of the compound inequality is
(-∞,50] ∩ [5,∞)=[5,50]
so

Billy needs to make at least 5 more pizzas but no more than 50
Answer:
x=58°
Step-by-step explanation:
The angles x° and 32° make up 90° (marked):
x+32=90
x=58°