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swat32
1 year ago
8

Which of these is a correct expansion of (4x-2)(2x² + 3)?

Mathematics
1 answer:
k0ka [10]1 year ago
5 0

The correct expansion of (4x-2)(2x² + 3) is 4x 2x² + 4x 3+ (-2) 2x² + (-2) 3.

The correct option is (C).

<h3>What is expression?</h3>

An expression is a set of terms combined using the operations +, – , x or ,/.

Given expression: (4x-2)(2x² + 3)

= 4x (2x² + 3) -2 (2x² + 3)

= 4x* 2x² + 4x * 3- 2* 2x² - 2*3

= 4x* 2x² + 4x *3+ (-2) *2x² + (-2)* 3

Hence, the correct expansion is 4x 2x² + 4x 3+ (-2) 2x² + (-2) 3.

Learn more about expression here:

brainly.com/question/14083225

#SPJ1

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A diver begins at sea level and descends vertically at a rate of 2 1/2 ft. per second. How long does the diver take to reach -15
galina1969 [7]

2 1/2 feet can be written as 2.5 feet.

Divide the total distance by the distance per second:


15.6 feet / 2.5 feet per second = 6.24 seconds.

7 0
3 years ago
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
Fynjy0 [20]

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

5 0
2 years ago
Whats the area of this shape?
vodomira [7]

The area of the shape shown in the image which is in the shape of kite figure is 168 squared centimeters.

<h3>What is the area of the kite figure?</h3>

The area of the kite figure is half of the product of its diagonals. Area of kite figure can be find out using the following formula.

A=\dfrac{pq}{2}

Here, p and q are the diagonals of the kite.

The length of the first diagonal of the kite figure is,

p=6+15

p=21 cm

The length of the second diagonal of the kite figure is,

q=8+8

q=16 cm

Thus, the area of kite figure is:

A=\dfrac{21\times16}{2}\\A=\dfrac{21\times16}{2}\\A=168\rm\; cm^2

Thus, the area of the shape shown in the image which is in the shape of kite figure is 168 squared centimeters.

Learn more about the area of kite here;

brainly.com/question/16424656

#SPJ1

8 0
2 years ago
Find the slope of the line passing through the points of (3,-5) and (-9,-6)
slavikrds [6]

Answer:

1

m = ---

12

Step-by-step explanation:

The formula is y2-y1

---------

x2-x1

(x1,y1) (x2,y2)

(3,-5) (-9,-6)

You get the 2 Y's and subtract them

Do the same with the X's

Y's above , X's below

(y2- y1)

⬇

-6-(-5) -1 1

--------- = ---- = ---- = m

-9-(3) -12 12

⬆

(×2- x1)

This equation is backwards, thats why it was harder to understand. (-9,-6) is farther left and below point (3,-5), making it the REAL first point in the equation.

5 0
3 years ago
What would each side be using that formula?
Arlecino [84]
6.23 is the answer you get that by square root 40
3 0
3 years ago
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