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Ugo [173]
3 years ago
9

Select the correct answer. Which expression is equivalent to this polynomial? 9x^2 - 4

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Step-by-step explanation:

Given expression is :

9x^2-4

We can write it as :

(3x)^2-2^2

Now using identity : a^2-b^2=(a-b)(a+b)

Here, a = 3x and b = 2

So,

(3x)^2-2^2=(3x-2)(3x+2)

Hence, the given expression is equivalent to (3x - 2)(3x + 2) .

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1. I am a three-digit number. My tens digit is 3 more than my
Tems11 [23]

Answer:

1. 474

2. 397

Step-by-step explanation:

1. If the three-digit number is xyz, then y = z + 3.

When rounded to the nearest ten and reduced by 320, the result is 150.  150 + 320 = 470, so x = 4.  y = 6 if z ≥ 5, and y = 7 if z < 5.

So the number is either 463 or 474.  463 doesn't round to 470, so the answer is 474.

2. If the three-digit number is xyz, then z = x + 4.  y is the largest of the three digits; since all the digits are odd, y is either 5, 7, or 9.  So z is either 5 or 7, and x is either 1 or 3.

When rounded to the nearest hundred and reduced by 100, the result is 300.  100 + 300 = 400, and y > 5, so xyz is rounded up to 400, which means x = 3.  So z = 7 and y = 9.

The answer is 397.

6 0
3 years ago
Hay 150 numeros en una rifa ¿ cuantos habria que comprar para tener un 8% de probalidad pra ganarla
krok68 [10]

Answer:

12 numeros

Step-by-step explanation:

para que pueda obtener el 8% de probabilidad, tendrá que comprar el 8% de los números

8% x 150

<u> 8 </u>  x 150

100

=12 numeros

espero eso ayude

3 0
3 years ago
What is the LCM of 7371​
Ivenika [448]

Answer:

81 and 91

Step-by-step explanation:

6 0
3 years ago
A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
What multiplied by what equls 78
kykrilka [37]
1x78=78
2x39=78
6x13=78

Hope that helped:)
5 0
3 years ago
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