Answer is (44 − x)35 + (88 − 44) ⋅ 46 = C
Hope it helps
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Answer: 300
We know that 5×3=15. Since we are trying to get 1500 we Multiply 300×5 and get 1500.
<u>How do we know?</u>
- As you can see if you cross out 2 of the 0 in 300 you have 3×5. When you multiply it you get 15.
- Also if you cross out 1 of the 0 in 300 you have 30×5. When you multiply that you get 150.
As you see when you still multiply either of those problems you have 15 in it. So we should know 300×5=1500.
Note: We can also multiply 500×3 and get 1500. You still get the same answer but just switched numbers.
Answer:
x+(x+4)=52
Step-by-step explanation:
Let's name the smaller number x.
The greater number would then be (x+4).
<em>The sum of two numbers means we are adding them together.</em>
<u>The equation we could then set up would be:</u>
x+(x+4)=52
<em>Now we can solve the equation to find the two numbers if needed.</em>
<u>Here is how:</u>
x+x+4=52
Combine like terms.
2x+4=52
Subtract 4 from both sides.
2x=48
Divide both sides by 2
x=24
The smaller number is 24.
24+4=28
The larger number is 28.
