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3 years ago

Simplify (x + 3)(x − 3)

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

x^2 -9

Step-by-step explanation:

(x + 3)(x − 3)

FOIL

first x*x =x^2

outer -3x

inner 3x

last -3*-3 =-9

Add together

x^2 -3x+3x -9

Combine like terms

x^2 -9

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3 years ago

−23−(−113) i think it is -2/3

dangina [55]

-23-(-113)
Subtract -113 from -23. This would also be the same as adding 113 to -23 because the two negative signs are equal to one positive sign.
Final Answer: 90

7 0

3 years ago

Read 2 more answers

Is the equation written in standard form-2x + 3y= -5

morpeh [17]

The standard form: ax + by = c

and your equation is: -2x + 3y = - 5 (Yes this is written in standard form)

7 0

3 years ago

How do you make an exponential equation with these two points: (1,2) and (0.5,4)

Over [174]

The required equation is y=8×( $( \frac{1}{2} )^{x}$

Step-by-step explanation:

Given,

The two points are (1,2) and (0.5,4)

To find the exponential equation of these given points.

Formula

The general form of exponential equation is y = $ab^{x}$ where, A and B are any real number.

$\frac{x^{m} }{x^{n} } = x^{m-n}$

Now, the points satisfy the equation.

So,

2 = $ab^{1}$ ------- (1) and

4 = $ab^{0.5}$ ------ (2)

Now (1) ÷ (2) we get,

$\frac{ab }{ab^{0.5} }$ = $\frac{2}{4}$

or, $b^{0.5}$ = $\frac{1}{2}$

or, b = $\frac{1}{4}$ [ by squaring we get]

Now, from (1) we get,

2 = a× $\frac{1}{4}$

or, a = 8

Hence,

The equation is y=8×( $( \frac{1}{2} )^{x}$

4 0

3 years ago

1. What is the sum or difference?

Vanyuwa [196]

Solving question 1 : What is the sum or difference?

$4x^{10} - 9x^{10} \\\\ (4-9)x^{10} \\\\ -5x^{10}$

Hence, option A is correct i.e. $-5x^{10}$ .

Solving question 2 : What is the sum or difference?

$6x^{5} - 9x^{5} \\\\ (6-9)x^{5} \\\\ -3x^{5}$

Hence, option D is correct i.e. $-3x^{5}$ .

Solving question 3 : Write the Polynomial in standard form.

2 - 11x² - 8x + 6x²

We can combine like terms, and rewriting it in decreasing power of x's.

⇒ - 11x² + 6x² - 8x + 2

⇒ (-11 + 6)x² - 8x + 2

⇒ -5x² - 8x + 2

Hence, option A is correct i.e. -5x² - 8x + 2; quadratic trinomial.

Solving question 4 :

White-sided jackrabbits: 5.5x² - 9.2x + 6.9

Black-tailed jackrabbits: 5.5x² + 9.9x + 1.3

Total population = White-sided jackrabbits + Black-tailed jackrabbits

Total population = (5.5x² - 9.2x + 6.9 ) + (5.5x² + 9.9x + 1.3)

Total population = (5.5 + 5.5)x² + (9.9 - 9.2)x + (6.9 + 1.3 )

Total population = 11x² + 0.7x + 8.2

Hence, option A is correct i.e. 11x² + 0.7x + 8.2

7 0

4 years ago