All categories

2 years ago

What is the factorization of the expression below 16x2 - 49?

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

7 0

$16 {x}^{2} - 49 \\ = {(4x)}^{2} - {7}^{2} \\ = (4x - 7)(4x + 7)$

Vilka [71]2 years ago

4 0

Answer:

16 {x}^{2} - 49 \\ = {(4x)}^{2} - {7}^{2} \\ = (4x - 7)(4x + 7)

Step-by-step explanation:

You might be interested in

Yancy estimates that the product of a fraction and a decimal is 10. Which expression could represent the fraction and the decima

Pani-rosa [81]

A) it comes out to be 10.3225

7 0

3 years ago

A taxi company charges an initial fee of $2.50 plus $2.50 per mile , write an equation in two variables

Assoli18 [71]

Cost(x) = $2.50 + ($250/mi)x

7 0

3 years ago

A house and a lot are worth $210,000. If

xxTIMURxx [149]

Answer:

182000

Explanation :

H , house
L , lot

H + L = 210000
H = 6.5•L
(6.5L) + L = 210000
L = 28000

H = 6.5(28000) = 182000

7 0

3 years ago

The perimeter of a rectangle swimming pool Is 84 meters. The width of the pool is 3/4 the length. What are the length and width

soldier1979 [14.2K]

Given:

Perimeter of rectangular swimming pool = 84 meters

Width of pool = 3/4 of the length

Let's find the length and width of the pool.

Since the swinning pool has the shape of a rectangle and we have the perimeter, to find the length and width, apply the perimeter of a rectangle formula:

$\text{Perimeter = 2(L + W)}$

Where:

L is the length

W is the width.

Given:

W = ¾L

Substitute 84 for perimeter and ¾L for W.

Hence, we have:

$\begin{gathered} P=2(L+W) \\ \\ 84=2(L+\frac{3}{4}L) \end{gathered}$

Let's evealuate the equation and solve for L.

We have:

$\begin{gathered} 84=2(L+0.75L) \\ \\ 84=2(1.75L) \\ \\ 84=3.5L \end{gathered}$

Divide both sides by 3.5:

$\begin{gathered} \frac{84}{3.5}=\frac{3.5L}{3.5} \\ \\ 24=L \\ \\ L=24\text{ meters} \end{gathered}$

To solve for the width W, substitute 24 for L in (W=¾L)

$\begin{gathered} W=\frac{3}{4}\times L \\ \\ W=\frac{3}{4}\times24 \\ \\ W=\frac{3\times24}{4} \\ \\ W=\frac{72}{4} \\ \\ W=18\text{ meters} \end{gathered}$

Therefore, the length of the swimming pool is 24 meters, while the width is 18 meters.

ANSWER:

Length = 24 meters

Width = 18 meters

8 0

10 months ago

John is building a fence for his dog. He knows that he wants to make the width 3 feet longer than twice the length. Find the are

marshall27 [118]

Answer: I feel like the area can be any number of things. The length can be 2 and the width could be 7 2*2=4+3=7, the area would equal 14. The possibilities are endless. If you have more info on the question let me know.

3 0

3 years ago