All categories

3 years ago

If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f-g) (x).

Mathematics

1 answer:

Eduardwww [97]3 years ago

3 0

Answer:

x² + 8

Step-by-step explanation:

note (f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7) = 2x² + 1 - x² + 7 = x² + 8

You might be interested in

Increase 2850 by 18%

faust18 [17]

3363 it is. That is the answer. The problem would be "2850 + 18%" right. Because that's what I did.<span />

4 0

2 years ago

Geometry question plz help me!

denis23 [38]

Answer:

Step-by-step explanation:

Any linear equation can be written as y = mx + b

The point will determine b

The slope (m) is found by this formula for a perpendicular line

m1 * m2 = - 1

m1 = -1/m2

m1 = -1/(-2/3)

m1 = 3/2

So our equation looks like

y = 3/2 x + b

Now we use the point (4,-8)

-8 = 3/2 (4) + b

-8 = 3(2) + b

-8 = 6 + b

b = - 14

The answer is

y = 4/2 - 14

6 0

2 years ago

What is the sum? StartFraction 3 Over x squared minus 9 EndFraction StartFraction 5 Over x 3 EndFraction.

V125BC [204]

The sum of the two fractional number, which consist in the variable <em>x</em> is in the polynomial function,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

<h3>What is the sum of fraction number?</h3>

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator.

Fraction number are written as,

$\dfrac{a}{b}$

Here (a) is the numerator and (b) is the denominator.

To find the sum of two fraction numbers, cross multiply both the numbers or find the least common factor as denominator.

The first fraction number given in the problem is,

$\dfrac{3}{x^2+9}$

The second fraction number given in the problem is,

$\dfrac{5}{x+3}$

Let the sum of these number is f(x). Thus,

$f(x)=\dfrac{3}{x^2-9}+\dfrac{5}{x+3}\\f(x)=\dfrac{3}{(x+3)(x-3)}+\dfrac{5}{x+3}\\$

Solve it further as,

$f(x)=\dfrac{3+5(x-3)}{(x+3)(x-3)}\\f(x)=\dfrac{3+5x-15}{(x+3)(x-3)}\\f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Thus, the sum of the two fractional number is,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Learn more about the fraction number here:

brainly.com/question/78672

6 0

2 years ago

A company pays $20 per hour for up to 6 hours of work, and $30 per hour for

scoray [572]

The algebraic expression for the overtime hours after 6 hours is (6 + y) 30.

<h3>Algebraic expression</h3>

This is a system for computating mathematical expression using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Hourly wage for 6 hours = $20 per hour
Overtime wage after 6 hours = $30 per hour
Total hours worked = x

x = (Hourly wage for 6 hours × $20 per hour) + (Overtime wage after 6 + y hours × $30 per hour

x = (6 × 20) + (6 + y) 30

x = 120 + 180 + 30y

x = 300 + 30y

The expression for the overtime hours is (6 + y) 30.

Learn more about algebraic expression:

brainly.com/question/4344214

#SPJ1

6 0

2 years ago

What is the standard deviation of the data set? Round to the nearest tenth if needed. 2, 4, 7, 8, 9

barxatty [35]

Hiiiiiiii, okay here's the full- explanation for you, so here's the final answer. The explanation of how i got the answer is also below! Hope this helped you!!

Answer:

2.9

Step-by-step explanation:

First the mean or average = sum / data points (or N) = (2 + 4 + 7 + 8 + 9) / 5 = 6

Now we take each of the individual values subtract the mean, and then square them, and add it all up.

(2 - 6)^2 + (4 - 6)^2 + (7 - 6)^2 + (8 - 6)^2 + (9 - 6)^2 = 34

Then we divide this by degrees of freedom = N - 1 to find the sample standard deviation. Note that this is different from the population standard deviation, where we would just divide N, but we use this because our data set is small, like less than 30 points.

34 / (N - 1) -----> = 34 / (5 - 1) = 8.5

Now, this is the variance, so we take the square root of the variance to get the sample standard deviation:

√(8.5) = 2.9 (rounded to 1 decimal place)

Note that scientific calculators, even my $20 version can do these kind of statistics calculations. Just enter the data set as a table of values in statistics mode, and press a few buttons, you're done!

6 0

3 years ago