All categories

1 year ago

If f(x) = 2x2 + 3 and g(x)=x2-7, find (f- g)(x).

Mathematics

1 answer:

Len [333]1 year ago

5 0

The difference of the given functions is x^2 + 10

<h3>Difference of functions</h3>

Given the following functions

f(x) = 2x^2 + 3 and

g(x)=x^2-7

Take the difference

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

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

(f-g)(x) = x^2 + 10

Hence the difference of the given functions is x^2 + 10

Learn more on difference of function here:brainly.com/question/17431959

#SPJ1

You might be interested in

A college football coach wants to know if there is a correlation between his players’ leg strength and the speed at which they c

Leto [7]

Answer:

Please Read below! As a professional athlete, I think I can help. :)

Step-by-step explanation:

First, what is correlation? Correlation is when there is a mutual relationship or connection between two separate things. More studying, better grades. Less sleep, worse focus. In this instance, the football coach wants to see if better leg strength means a faster 40 yard sprint!

As a professional athlete, I can answer immediately that stronger legs, does generally mean a faster sprint. However, this does not mean better endurance in a long distance race!

So the correlation is: stronger legs = faster 40 yard run

A player that can reach 22 leg-presses is likely going to run a faster 40 yard dash, then someone who can only do 10 leg presses. At the same time, however, it's important to take into account the weight of each player, because the person with stronger legs, might have more weight to carry!

I cannot see any chart provided, but I'm going to assume that there is a positive linear graph, with equations being in slope form (y = mx + b).

Let me know if this helps! :)

5 0

2 years ago

The difference of two positive numbers is 69. The quotient obtained on dividing one by the other is 4. Find the number.

valentinak56 [21]

Answer:

x=92 y=23

Step-by-step explanation:

Let them be x and y respectively

so given

x-y=69

and

x/y=4 x=4y

so we can write

x-y=69

4y-y=69 3y=69 y= 69/3 = 23

now y is 23

so putting in any equation will give the value of x

x-23=69 x=92

6 0

2 years ago

How do we use the Pythagoras theorem in "everyday life".

DochEvi [55]

I use it all the time, but as my profession is engineering, mathematics is integral in my everyday life. I usually do it when evaluating for the magnitude of vector force components. Usually in 2D space, so Pythagorean theorem is quite useful.

5 0

3 years ago

What are the factors of the equation x 2 - 5x + 6?

xxTIMURxx [149]

Answer:

(x-3)(x-2)

Step-by-step explanation:

x^2 -5x+6

What two numbers multiply to 6 and add to -5

-3 * -2 = 6

-3 -2 = -5

(x-3)(x-2)

7 0

2 years ago

A recent research study randomly divided participants into groups who were given different levels of Vitamin E to take daily. On

horrorfan [7]

Answer: D. To produce treatment groups with similar characteristics

Step-by-step explanation:

By using randomization in sampling, the Sample would be more representative of the Population it is based off of because different demographic characteristics may be picked.

This leads to a situation where the groups have similar characteristics between themselves thereby making it easier for comparison. For example, Group 1 would have certain types of people that will be represented in Group 2 and Group 3 as well. That way the effects of the drug can be properly studied as it affects different people. For instance, say there are 4 obese people in a sample of 10, instead of group one having all obese people, randomization may be able to give group one, 2 obese people and 2 obese people to group 2 as well. That way when comparing, the effects of the drug on the two groups is easier to be compared because the two groups have similar people.

5 0

3 years ago