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1 year ago

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

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brainly.com/question/25275758

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1 year ago

HELP WILL GIVE BRAINLIST PLEASE! 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

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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

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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:

Step(i):-

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%)

Step(ii):-

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)

Final answer:-

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

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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

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3 years ago

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