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3 years ago

Pls help!! I need the answer immediately

Mathematics

1 answer:

Strike441 [17]3 years ago

4 0

Answer:

i). x³ + 9x² + yz - 15

ii). -21m³np - 8p⁵q + mnp + 4mn + 100

Step-by-step explanation:

Question (38)

i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz

By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).

(x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15

= x³ + 9x² + yz - 15

ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100

= (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100

= -21m³np - 8p⁵q + mnp + 4mn + 100

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Step-by-step explanation:

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2 years ago

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Given that f(x) = x + 3<br> a) Find f(2)

Nataly_w [17]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

In the above question, it is given that :

$\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }$

A.) Find f(2) :

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2}$

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2}$

$\qquad \sf \dashrightarrow \: f(2) = 0.5$

B.) Find ${ \sf {f}^{-1}(x) }$ :

$\qquad \sf \dashrightarrow \: let \: y = f (x)$

so, we can write it as :

$\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2}$

$\qquad \sf \dashrightarrow \: 2y = x + 3$

$\qquad \sf \dashrightarrow \: x = 2y - 3$

Now, put x = ${ \sf {f}^{-1}(x) }$ , and y = x and we will get our required inverse function ~

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3$

C.) Find ${ \sf {f}^{-1}(12) }$ :

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3$

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1 year ago

What is the solution to the system of equations? {x+y=7x=y+3

abruzzese [7]

<h3>Answer:</h3>

x=5, y=2

<h3>Explanation:</h3>

The second equation gives an expression for x that can be substituted into the first equation.

... (y+3) +y = 7 . . . . . .substitute y+3 for x

... 2y + 3 = 7 . . . . . . . colect terms

... 2y = 4 . . . . . . . . . . subtract 3 from both sides

... y = 2 . . . . . . . . . . . . divide both sides by 2

Using the expression for x, we can find its value.

... x = y + 3

... x = 2 + 3 . . . . . . . . . substitute for y

... x = 5

The solution is (x, y) = (5, 2).

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3 years ago