All categories

3 years ago

What expression is equivalent to 9x^2-16?

Mathematics

1 answer:

erica [24]3 years ago

3 0

Answer:

(3x + 4) • (3x - 4) hope we can be friends can i please get brainliest

Step-by-step explanation:

Step by step solution :

Step 1 :

Equation at the end of step 1 :

32x2 - 16

Step 2 :

Trying to factor as a Difference of Squares :

2.1 Factoring: 9x2-16

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 16 is the square of 4

Check : x2 is the square of x1

Factorization is : (3x + 4) • (3x - 4)

You might be interested in

What does x and y equal in this equation x+y=6

lyudmila [28]

The correct answer to this problem is
C=3
Y=3

8 0

2 years ago

Let f be the function given by f(x) = x+4(x−1)(x+3) on the closed interval [−5,5]. On which closed interval is the function f gu

Vlad [161]

Answer:

Step-by-step explanation:

f(x)=x+4(x^2+2x-3)=4x^2+9x-12

f'(x)=8x+9

f'(x)=0,gives x=-9/8

f(-5)=-5+4(-5-1)(-5+3)=-5+4*-6*-2=43

f(-9/8)=-9/8+4(-9/8-1)(-9/8+3)

=-9/8+4*-17/8*15/8

=-9/8-255/16

=-273/16=-17 1/16

f(5)=4*5^2+9*5-12=100+45-12=133

absolute maximum=133

absolute minimum=-17 1/16

6 0

3 years ago

The accompanying table shows the number of bacteria present in a certain culture over a 6 hour period, where x is the time, in h

madam [21]

The number of bacteria present after 15 hours is 18928

<h3>How to determine the exponential equation?</h3>

An exponential equation is represented as;

y = ab^x

Where

a = y, when x = 0

From the table, we have:

y = 1796 when x = 0

So, we have:

y = 1796b^x

Also, we have the point (1, 2097)

This gives

2097 = 1796b^1

Divide by 1796

b = 1.17

Substitute b = 1.17 in y = 1796b^x

y = 1796(1.17)^x

This means that the exponential equation is y = 1796(1.17)^x

After 15 hours, we have:

y = 1796(1.17)^15

Evaluate

y = 18928

Hence, the number of bacteria present after 15 hours is 18928

Read more about exponential equation at:

brainly.com/question/23729449

#SPJ1

7 0

1 year ago

Find the difference

kati45 [8]

Answer:

$\frac{x}{x+1}$

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The image of (2, -1) under the transformation T -5, 3 is _____.

LiRa [457]

Answer: probably (b) because negative x positive or plus equals negative

Step-by-step explanation:

3 0

2 years ago