Good morning ☕️
Answer:
<h2>(-∞ , -3/2)∪(3 , +∞)</h2>
Step-by-step explanation:
Here we have to solve this inequality 2x² - 3x - 9 > 0 for x.
In order to solve this inequality we need to factorize the expression at first:
2x² - 3x - 9 = 2x² - 3x - 3x + 3x - 9
= 2x² + 3x - (6x + 9)
= x(2x + 3) - 3(2x + 3)
= (2x + 3)(x - 3)
check the attached picture
conclusion:
the set of values of x for which y>9 is :
(-∞ , -3/2)∪(3 , +∞)
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:)
Answer:
Hence first graph is the correct answer.
T I
1 28
2 56
3 84
4 112
Step-by-step explanation:
Given that initial amount P = $400
Simple rate of interest = R = 7% = 0.07
Time t= 1,2,3,4 years.
Then apply Simple interest formula to find the total interest earned in the given years.
I=PRT
for t=1 year
I=PRT=400(0.07)(1)=28
for t=2 year
I=PRT=400(0.07)(2)=56
for t=3 year
I=PRT=400(0.07)(31)=84
for t=4 year
I=PRT=400(0.07)(4)=112
Now we have table as shown below:
T I
1 28
2 56
3 84
4 112
Graphing these points we see that obtained graph best matches with First choice .
Hence first graph is the correct answer.
