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3 years ago

If f(x)=2x^2+3 and g(x)=x^2-7 find (f+g)(x)

Mathematics

1 answer:

Ivan3 years ago

8 0

Answer:

Answer is (f + g)(x) = 3x^2 - 4

Step-by-step explanation:

Given,

f(x) = 2x^2 + 3

g(x) = x^2 - 7

To find : (f + g)(x)

(f + g)(x) = f(x) + g(x)

= (2x^2 + 3) + (x^2 - 7 )

= 2x^2 + x^2 + 3 - 7

(f + g)(x) = 3x^2 - 4

Hence we get (f + g)(x) = 3x^2 - 4

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What is equivalent to 40n2−31n+6 ?

bogdanovich [222]

Answer:(8n-3) (5n-2)Step-by-step explanation:

3 0

3 years ago

Match each organ or function with its body system Excretory and digestive are the options

Tresset [83]

Answer:

digestive would be stomach, excretion is the big and small intestines

Step-by-step explanation:

stomach digests food, your intestines process whatever is left till you excrete

3 0

3 years ago

If f(n) = n2 - n, then f(-4) is _____. -20 20 12 -12

kolbaska11 [484]

The correct option is "20" because

f(n)=n2−n
(−4)=(−4)2−(−4)
=16+4
=20

8 0

3 years ago

Read 2 more answers

A 24 foot ladder is placed against a building at an angle of 75⁰. How far is the bottom of the ladder from the building?

yanalaym [24]

24ft is the hypotenuse, at an angle of 75⁰, and we need to find the adjacent.

We use cos(), which is adjacent divided by hypotenuse.

Therefore, we can find the adjacent by doing:

25 * cos(75) = 6.47ft

Round the answer however you like.

6 0

3 years ago

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago