All categories

3 years ago

Select the correct answer from each drop-down menu. if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4).

Mathematics

1 answer:

Nataly_w [17]3 years ago

3 0

Answer:

(f/g)(4) = 3

(f + g)(4) = 28

Step-by-step explanation:

(f/g) = $\frac{x^2+2x-3}{x^2-9}$

(f + g) = $2x^2 + 2x -12$

Simply plug in 4 for x in both equations to find you answer!

You might be interested in

uring February, Kevin will water his ivy every third day, and water his cactus every fifth day. Part 1 out of 2 On which date wi

andrezito [222]

Since Juanuary has 31 days we will also count the 31st day.Lets count the days Kevin waters his ivy.He will water it every 3 days so let’s count by threes.

2 5 8 11 14 17 20 23 26 29

That is all theaters you.Can have in February if you count by 3s.

He will water his cactus every 5th day.Just like before let’s count but this time by 5s.

4 9 14 19 24 29

There are two dates Kevin will water both plants but you said to do the first one so the date will be 14.

Your Answer is the 14th

8 0

3 years ago

Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

What is the length of segment AC?

Brut [27]

Making a triangle with line segment AC as the hypotenuse, we see the two legs are 6 and 8 units. Using the Pythagorean theorem, 6^2=36 and 8^2=64. 36+64=100. The square root of 100 is 10, so the length of AC is 10 units. Please give me brainiest. Have a great day.

6 0

3 years ago

Read 2 more answers

In the diagram, DC is tangent to the circle, AC=12cm, and BD=2√34cm.Find AD.

Vesna [10]

The answer is A 10 cm.

3 0

3 years ago

Ok... FREE 100 POINTS WHOEVER ANSWERS FIRST WILL GET A BRAINLIEST!!!

n200080 [17]

Answer:

AHHH