All categories

4 years ago

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

Mathematics

1 answer:

erica [24]4 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

The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confiden

saw5 [17]

Answer:

it is clear that at 95% confidence that the bonus plan has increased the sales significantly, because if we observe you will notice that sales after is greater than sales before in all six cases.

Step-by-step explanation:

A 95% confidence interval as we have above is the range of values that we can say with utmost certainty and confidence that 95% chance it contains the true mean of the population. in other words we can say that a 95% confidence interval defines a range of values that you can be 95% certain contains the population mean.

4 0

3 years ago

Kathy’s customer base is 2/3 residential and 1/3 business if she has 350 residential customers how many total customers does she

Scorpion4ik [409]

If we made it into a ratio of residential customers to business customers, it would be a 2:1

350/2 = 175

350 + 175 = 525

525 total customers

4 0

3 years ago

Solve for x in the equation

Viktor [21]

Answer:

${x}^{2} + 2x + 1 = 17 \\ {x}^{2} + 2x - 16 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 2± \sqrt{68} }{2} \\ x = \frac{ - 2±2 \sqrt{17} }{2 } \\ x = - 1± \sqrt{17}$

5 0

3 years ago

What is the exact length of AB

Tatiana [17]

We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians

So AB= 4 * 45* π/180 = π units

6 0

3 years ago

Read 2 more answers

3. What is the surface area of the triangular prism shown below?

jekas [21]

Answer:

1233cm^2

Step-by-step explanation:

a of triangle = 1/2 bh

1/2 x 12 x 9 = 54

108 x 2 = 108

a of regtangle = l x w

25 x 15 = 375

375 x 3 = 1125

total surface area = 1125 + 108 = 1233cm^2

7 0

2 years ago