Hey there! The answer is 7x + 4y < 40
Let's first rearrange our data in a more structured way.
x represents a box of wings which has a cost of $7.00. Therefore the total cost of the boxes is 7x.
y represents a tray of nachos which has a cost of $4.00. Therefore the total cost of the trays is 4y.
The sum of the costs of trays and boxes, which is (7x + 4y) must be smaller than $40.
Now we can set up the inequality.
~ Hope this helps you!
This is a vertical line that goes through all points with an x-coordinate of -9.
To graph it, I can give you a couple of points this line goes through so you can draw it more easily.
Points that are on line: (-9,0) and (-9,1)
Answer:
Option A: (4, -15).
Step-by-step explanation:
Given the quadratic function, y = x² - 8x + 1, where a = 1, b = -8, and c = 1:
<h3><u>Solve for the x-coordinate of the vertex:</u></h3>
We can use the following equation to solve for the x-coordinate of the vertex:
Substitute the given values into the formula:
Hence, the x-coordinate of the vertex is 4.
<h3><u>Solve for the y-coordinate of the vertex:</u></h3>
Next, substitute the x-coordinate of the vertex into the given quadratic function to solve for its corresponding y-coordinate:
y = x² - 8x + 1
y = (4)² - 8(4) + 1
y = 16 - 32 + 1
y = -15
Therefore, the vertex of the given quadratic function, y = x² - 8x + 1, is: x = 4, y = -15, or (4, -15). Thus, the correct answer is Option A: (4, -15).
Answer : The measure of ∠WRS is 25°.
Step-by-step explanation :
As we know that vertically opposite angles are always equal.
In the given figure,
∠VRT = ∠WRS = (5x)° (Vertically opposite angles)
And we know that the sum of all angle in a straight line is equal to 180°.
So,
∠TSR + ∠WRS = 180°
Given: ∠TSR = (25x + 30)°
∠TSR + ∠WRS = 180°
(25x + 30)° + (5x)° = 180°
30x + 30° = 180°
30x = 180° - 30°
30x = 150°
x = 5°
∠WRS = (5x)° = (5 × 5)° = 25°
Therefore, the measure of ∠WRS is 25°.
Answer:
There are no real solutions for the given question (6c - 5) + (-6c)
Step-by-step explanation:
Solution for (6c-5) + (-6c)
Simplifying
,
(6c + -5) + (-6c) = 0
Reordering the given terms:
(-5 + 6c) + (-6c) = 0
Remove "parenthesis" around (-5 + 6c)
-5 + 6c + (-6c) = 0
Combining like terms it becomes 6c + (-6c) = 0
-5 + 0 = 0
-5 = 0
Solving
-5 = 0
we could not find the solution for the given (6c - 5) + (-6c).
The given equation is not a valid one, the "left hand side" and "right hand side" are unequal, and therefore there is no solution.
