The answer to the inequality is expressed as x< 1 and x< -4
<h3>What are inequalities?</h3>
Inequalities are mathematical expressions having both sides unequal or rather not equivalent to each other.
Given the inequality;
4x (x+3) < -24
First, expand the bracket
4x² + 12x < - 24
Let's turn to quadratic inequality
4x² + 12x - 24 < 0
Factorize further
4 ( x² + 3x - 4) < 0
4 ( x² + 4x - x - 4) < 0
4 ( x(x + 4) - 1 (x + 4) ) < 0
4(x - 1) ( x + 4) < 0
expand the bracket
4x - 4 < 0
x < 1
And
4x + 16 < 0
x < -4
Thus, the answer to the inequality is expressed as x< 1 and x< -4
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Answer: slope=5 y-intercept=-1
Step-by-step explanation:
Slope=rise/run
In this case we rise 5 and run 1
5/1=5
On the graph you can see the line passes through the y axis at -1
Your question is incomplete, here is the complete question:
The function below can be used to calculate the cost of making a long distance call, f(m), which is based on a $2.50 initial charge and a fee of $0.12 per minute, m, that the call lasts, f(m) = 2.5 + 0.12 m. If Natalie paid $6.82 for one call, how many minutes long was it
It was 36 minutes long
Step-by-step explanation:
∵ The function is f(m) = 2.5 + 0.12 m, where f(m) is the cost of a
distance call for m minutes
∵ Natalie paid $6.82 for one call
- Substitute f(m) by 6.82 in the equation above
∴ 6.82 = 2.5 + 0.12 m
- Subtract 2.5 from both sides
∴ 4.32 = 0.12 m
- Divide both sides by 0.12
∴ 36 = m
∴ The length of the call = 36 minutes
It was 36 minutes long
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Answer:
e) (3.77%, 8.70%)
95% confidence interval for the percentage of all medical students who plan to work in a rural community
(3.83% , 8.69%)
95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices
(0.406 , 0.454)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given random sample size 'n' = 369
Sample proportion

95% confidence intervals are determined by


(0.0623 - 0.0246 , 0.0623 + 0.0246)
(0.0383 , 0.0869)
(3.83% , 8.69%)
95% confidence interval for the percentage of all medical students who plan to work in a rural community
(3.83% , 8.69%)
<u>Step(ii):-</u>
Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices
sample proportion 'p' = 0.43
Given Margin of error (M.E) = 0.024
95% confidence intervals are determined by


(0.406 , 0.454)
<u>Final answer</u>:-
95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices
(0.406 , 0.454)