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2 years ago

Factor completely 2. 4x² – 9 [2 pts]

Mathematics

1 answer:

Nat2105 [25]2 years ago

8 0

Answer:

(2x+3) (2x-3)

Step-by-step explanation:

Both 4 and 9 have square roots and the problem is a difference of two squares. So if factored, one parenthesis will have a - and the other will have a +.

You might be interested in

Factor the expression x2 - 49.<br> A. 7(x² – 7)<br> B. 7.(2-7)<br> C. 2+7(2-7)<br> D. (x + 7)(x-7)

NISA [10]

X^2 - 49 = (x + 7)(x - 7) = x^2 - 7x + 7x = 49 = x^2 - 49

6 0

3 years ago

Round the numbers to the nearest cent and then to the nearest dollar. 23. $62.756 24. $38.415

MrMuchimi

Answer:

23. $ 62.76 to the nearest cent

$63.00 to the nearest dollar

24. $ 38.42 to the nearest cent

$38.00 to the nearest dollar

Step-by-step explanation:

When we round to the nearest cent we round the second number after the decimal. We look at the third number after the decimal. If it is 5 or above we round up.

When we round to the nearest dollar, we round the number befroe the decimal. We look at the number after the decimal. If it is 5 or above we round up.

23. $62.756 we round the 5 so we look at the 6 6>= 5 so we round up

$ 62.76 to the nearest cent

$62.756 we round the 2 so we look at the 7 7>= 5 so we round up

$63.00 to the nearest dollar

24. $38.415 we round the 1 so we look at the 5 5>= 5 so we round up

$ 38.42 to the nearest cent

$38.415 we round the 8 so we look at the 4 4< 5 so we leave alone

$38.00 to the nearest dollar

6 0

3 years ago

Surface area of the prism

Trava [24]

length = 12 yd

width = 10 yd

height = 12 yd

diagonal = 19.697715603592 yd

total surface area = 768 yd2

lateral surface area = 528 yd2

bottom surface area = 120 yd2

volume = 1440 yd3

6 0

2 years ago

Read 2 more answers

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

2 years ago

A blimp provides aerial tv views of a soccer game. The camera sights the stadium at a 7 degree angle of depression. The altitude

maria [59]

Given that,

The camera sights the stadium at a 7 degree angle of depression.

The altitude of the blimp i slide 300 m.

To find,

The line of sight distance from the camera to the stadium.

Solution,

If we consider a right angled triangle. Let x is its hypotenuse i.e. the line of sight distance from the camera to the stadium. Using trigonometry :

$\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\=\dfrac{300}{\sin7}\\\\=2461.65\ m$

So, the line of sight is at a distance of 2461.65 m from the camera to the stadium.

6 0

2 years ago