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Wewaii [24]
3 years ago
8

If f(x)=2x^2+3 and g(x)=x2-7,find (f-g)(x) A.x^2-4 B.3x^2-4 C.3x^2-10 D.x^2+10

Mathematics
2 answers:
lozanna [386]3 years ago
8 0

Answer:

Option D is correct.

Step-by-step explanation:

we are given with two functions, f(x) = 2x² + 3   and g(x) = x² - 7

We have to find value of ( f - g )(x)

Consider,

( f - g )(x)

= f(x) - g(x)

= ( 2x² + 3 ) - ( x² - 7 )

= 2x² + 3 - x² + 7

= 2x² - x² + 3 + 7

= x² + 10

Therefore, Option D is correct.

dexar [7]3 years ago
5 0

Write f(x) above g(x), as shown below:

 f(x)=2x^2 + 3

- g(x) = x^2 - 7

---------------------   Next, combine the givens in three columns:

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

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Rob ran 27.2 miles less than Jasmine last week. Rob ran 10 miles. How many miles did Jasmine run?
jeka94

Answer:

Jasmine ran last week 37.2 miles

Step-by-step explanation:

Let

x ----> number of miles Rob ran last week

y ----> number of miles Jasmine ran last week

we know that

x=y-27.2 ----> equation A

x=10 ----> equation B

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4 years ago
Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the
bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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Area of regular polygons
Finger [1]
Hello!

To find the area of a hexagon you do 3\frac{3 \sqrt{3} }{2} } a^{2} where a is one of the sides

Since the perimeter is 60 we can do 60/ the sides of the shape

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you put that into the formula to get the area of a hexagon and you get 259.81

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Answer:

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x = 18

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