Which equation matches the graph?
2 answers:
Answer:
A.
Step-by-step explanation:
The Y-intercept is 3 so C and D are automatically are wrong because their Y intercept is 2.
The slope is 2x because you count the points that the line goes through.
For example: From (-1,1) count up and right until you get another point,
count using the rise of this equation is 2 and the run is 1 so
Rise = Vertical
Run = Horizontal
Because the slope is increasing the slope is positive meaning B is incorrect because it's slope is negative.
Hope this was clear and helped you out!
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Answer:
a.
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:
Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4
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!
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!