The answer is option .. A : 500(10) + 600(2)
I Just took the assignment and that is the Correct Answer :)
Answer:
an infinite number of solutions
Step-by-step explanation:
−3x −17 = −17 −3x
left side = right side TRUE because -3x-17 is the same as -17-3x
we can rearrange the the equation
−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations
-3x = -3x, divide both sides by (-3)
x = x
Since this equation is <u>always true ( for any number ) </u>we have <u>an infinite number of solutions</u> (since there are is an infinity of numbers.)
Answer:
A. 36
B. 3.5
Step-by-step explanation:
To solve for the first equation, we could represent the hot dogs as h(1.75-.50), since they are losing .50 cents for each hot dog, <em>h,</em> they make.
Since they want to know how many hot dogs they have to sell to equal the amount of money they spent, we can represent it as an equal sign.
Now all we have to do is add the constants. Add 12 to our overall equation and subtract 57, since the <u>received</u> $12 in donations and <u>lost</u> $57.
Our equation is 12+h1.75=57+.5h We can just put all of the negative numbers on one side and the positive numbers on the other to find out when they will be equal.
First, subtract 12 from 57.
h1.75=45+.5h
Now subtract .5h from both sides.
h1.25=45
Finally, divide both sides by 1.25.
h=36.
They will have to sell 36 hot dogs.
If they want to sell halve the hotdogs for the same price, simply multiply the current price by 2.
The hotdogs will have to cost $3.5.
Hope this helps!
Answer:
Step-by-step explanation:
I believe you meant y = 2(x − 4)^2 + 5. Use the symbol ' ^ " to indicate exponentiation. This equation has the vertex form of the equation of a quadratic. The x-coordinate of the vertex is 4 and the y-coordinate is 5. Thus, the vertex is at (4, 5). The multiplier 2 stretches the graph vertically by a factor of 2.
To aid us in graphing this function, find the x- and y-intercepts:
If x = 0, y = 2(-4)^2 + 5, or 37. Therefore the y-intercept is at (0, 37).
If y = 0, then
2(x − 4)^2 + 5 = 0,
2(x − 4)^2 = -5 But a square cannot be negative, so there is no x-intercept in this case.
To graph this function, plot the vertex (4, 5) and the y-intercept (0, 37). Take advantage of symmetry and find another point across x = 4 from (0, 37): It is (8, 37).
Answer: $12
Step-by-step explanation:
For this problem, we can use system of equations to solve. Let's use x for shirts and y for ties.
Equation 1
6x+3y=79.5
This equation comes from the first sentence. 79.5 is the total cost.
Equation 2
3x+2y=41
This equation comes from the second part of the first sentence. 41 is the total cost.
Since we are looking for the cost of each shirt, let's use the elimination method to eliminate y. First, we need to multiply both equations to that the y in both equations equal each other.
2(6x+3y=79.5)
3(3x+2y=41)
Now that we have chosen a common number, we can multiply.
12x+6y=159
9x+6y=123
We can now subtract both equations to cancel out y.
3x=36
Divide to get x alone.
x=12
Each shirt costs $12.
