Answer:
An equivalent ratio can be 14:24.
Answer:
$1.75
Step-by-step explanation:
Honestly, you don't really have to pay attention to the other numbers or ratios on the graph until you think you found your answer. Pay attention to whichever ratio you choose and follow these steps:
1. Identify which number is the cost and which is the amount of pens bought
2. Set it up as a division problem by using the cost and the dividend and the amount of pens as the divisor
3. After you have your answer, plot your ratio of 1:(your product) and if the line that was graphed is straight, you are correct.
PS. I used the ratio (2:3.5) to solve this problem
When parallel lines are cut by a transversal, the alternate interior angles are equal.
<span>3x + 17 = x + 53</span>
Subtract 'x' from each side:
2x + 17 = 53
Subtract 17 from each side:
2x = 36
Divide each side by 2 :
<u>x = 18</u>
Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.
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Explanation:
Note how x is decreasing by 3 each time
- -2-3 = -5
- -5-3 = -8
- -8-3 = -11
At the same time, y is also decreasing by 3 each time
This means we have a linear function. We have,
slope = (change in y)/(change in x)
slope = (-3)/(-3)
slope = 1
Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.
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Another way to find the slope is to pick any two points from the table and use the slope formula
m = (y2 - y1)/(x2 - x1)
You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.
The given question can be solve using quadratic formula.
The correct option is (c) 
.
Given:
The given equation is,
---------------------------(1)
Write the general quadratic equation.
Write the quadratic formula.
------------------------------- (2)
Compare equation (1) and (2).
Substitute the value of 
, 
and 
in general quadratic.
Subtract 
from each side of above equation.
Thus, the correct option is (c) .
Learn more about quadratic equation here:
brainly.com/question/17177510
