<h3>
Answer:</h3>
1. Solutions: x = 3.4, 10.6
2. Solutions: ,
3. Solutions: x = -1, 11
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Step-by-step explanation:</h3>
Quadratic formula:
Quadratic equation: ax² + bx c = 0, where a ≠ 0
1. x² - 14x + 36 = 0
a = 1, b = -14, c = 36
Substitute the given values into the formula:
Separate into two cases:
and
2. x² + 7x + 16 = 0
a = 1, b = 7, c = 16
Substitute the given values into the formula:
Imaginary number rule: For any positive real number "k",
Notes: Two imaginary solutions indicate that the graph will not intersect the x-axis. As a result, it has no real roots.
Separate into two cases:
3. x² - 10x - 11 = 0
a = 1, b = -10, c = -11
Substitute the given values into the formula:
Separate into two cases:
and
Hope this helps!
Learn more about quadratic equation here:
brainly.com/question/27729447
Answer:
1.25 to 1
Step-by-step explanation:
5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1
Answer:
See attachment for graph
Step-by-step explanation:
Given
Required
Draw the graph
First, we identify at least 2 possible values of x and y
Let
Solve for y
So, a point is:
Let
Solve for y
So, another point is:
<em>Plot </em><em> and </em><em> on the graph, then draw a straight line through both points</em>
See attachment for graph
Answer:
52.16
Step-by-step explanation:
So, Lets find out the discount first. Since the shoes are 30% off, that means the shoes are 70% of their original price, so lets multiply the original price of 69 by .7. 69*.7=48.3
Now to find the sales tax we need to multiply the price we got finding the sale by 1.08 since the sales tax is added on not removed from the price. 48.3*1.08=52.16
The prices after the sale and including tax is 52.16