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Serjik [45]
1 year ago
10

H(x)=-x+ 5g(x)=-3x – 2Find (h/g)(x)

Mathematics
1 answer:
Neko [114]1 year ago
5 0

Find (h/g)(x);

\begin{gathered} h(x)=-x+5 \\ g(x)=-3x-2 \\ (\frac{h}{g})(x)=\frac{-x+5}{-3x-2} \end{gathered}

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What’s the answer to 4x(x+3) < -24
NARA [144]

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

Learn more about inequalities here:

brainly.com/question/25275758

#SPJ1

6 0
1 year ago
HELP WILL GIVE BRAINLIST PLEASE!<br><br> slope (m) = ? y-intercept (b) = ?
timama [110]

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

5 0
3 years ago
The function below can be used to calculate the cost of making a long distance call, ƒ(m), which is based on a $2.50 initial cha
defon

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

Learn more:

You can learn more about the function in brainly.com/question/10541435

#LearnwithBrainly

4 0
3 years ago
Use the given degree of confidence and sample data to construct interval for the population proportion. Of 369 randomly selected
Alexxx [7]

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

                              p = \frac{x}{n} = \frac{23}{369} = 0.0623

95% confidence intervals are determined by

(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })

(0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })

(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

(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })

(0.43 - 0.024 } , 0.43 +0.024 )

(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)

6 0
3 years ago
A company makes concrete bricks shaped like rectangular prisms each brick is 6 inches long 3 inches wide and 2 inches tall how m
Tanzania [10]
The Answer is. 50 bricks





6 0
3 years ago
Read 2 more answers
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