Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
Answer:
coordinates are 6, -3
Step-by-step explanation:
When it's plotted out onto a graph, the answer comes down to 6, -3 (also remember, it's X then Y)
After 6 years, the difference between owning the house and renting is $12,000.
<h3>What is the difference in owing and renting the house?</h3>
The first step is to determine the total cost of renting the house for six years.
Total cost of renting the house = rent per month x number of years x number of months in a year
1500 x 12 x 6 = $108,000
Difference = cost of owning - cost of renting
$120,000 - $108,000 = $12,000
To learn more about subtraction, please check: brainly.com/question/854115
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Answer:
<em>9*364 - 9*125 - 9*39 = 1,800</em>
Step-by-step explanation:
<em>Mental Calculation</em>
If we detect known patterns in the calculations, we could easily give their results without the use of calculators.
We are given the expression to evaluate:
9*364 - 9*125 - 9*39
The first thing to note is the 9 is a common factor of all terms, thus we take it out:
9*(364 - 125 - 39)
The negative numbers can be easily added
125
+ 39
------------
164
Now our expression is much easier:
9*(364 - 164)
The subtraction of 364-164 is 200, thus the result of the operations is:
9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:
9*364 - 9*125 - 9*39 = 1,800
