Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
Answer:
C(x) = 0.1x+23000
Step-by-step explanation:
Given that a company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce each doughnut. The company sells each doughnut for $0.2.
Let X be the no of units produced
Then we have variable cost = 0.1x
Fixed cost = 23000 (irrespective of value of x)
Total cost
where C represents the total cost and x no of units produced.
Revenue function would be
assuming all doughnuts are sold.
Profit function would be
Answer:
We have the system:
x ≤ 7
x ≥ a
Now we want to find the possible values of a such that the system has, at least, one solution.
First, we should look at the value of a where the system has only one solution:
We can write the 2 sets as:
a ≤ x
x ≥ 7
So, writing both together:
a ≤ x ≤ 7
if a is larger than 7, we do not have solutions.
then a = 7 gives:
7 ≤ x ≤ 7
Here the only solution is 7.
Now, if a is smaller than 7, for example 5, we have:
5 ≤ x ≤ 7
Now x can take different values, so we have a lot of solutions.
Then the restrictions for a, such that the system has at least one solution, is:
a ≤ 7.
Answer:
- The measure of ∠A is 66°.
Step-by-step explanation:
<u>We know that:</u>
- ∠A = 3x + 18
- ∠D = 4x + 2
- ∠D = ∠A
<u>Now, let's solve the equation. ∠D = ∠A.</u>
- => 3x + 18 = 4x + 2
- => -2 + 18 = x
- => 16 = x
<u>Now, let's substitute the value of x into any equation.</u>
- => 4x + 2
- => 4(16) + 2
- => <u>66°</u>
Hence, the measure of ∠A is 66°.
