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Kruka [31]
3 years ago
9

Which is equivalent to , and what type of special product is it?

Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer:

<h2>a perfect square trinomial</h2>

Step-by-step explanation:

The given expression is

(4xy-3z)^{2}

As you can observe this is a binomial expression under a square power. Additionally, this is a special product, which equivalent expression is a perfect square trinomial, because from this square power we get two perfect square and one linear term.

Therefore, the right answer is B.

Let's solve the expression to demonstrate what we said before

(4xy-3z)^{2}=(4xy)^{2} -2(4xy)(3z)+(3z)^{2}=16x^{2} y^{2} -24xyz+9z^{2}

As you can observe, the expression is equivalen to a trinomial.

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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0
3 years ago
The radius of a circle is 5m, what is the diameter​
Artyom0805 [142]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the inverse of the function f(x) = 2x – 10?
Nadusha1986 [10]

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

6 0
3 years ago
What is the answer to 4x-25+75
damaskus [11]
The answer is 4x + 50.

Step by Step: -25+75= 50
You can’t add or subtract a variable with a number.
4 0
3 years ago
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Express 240 as a product of prime factors.
Sholpan [36]

Answer:

240 = 2 x 2 x 2 x 2 x 3 x 5 or 2^4x3x5

Step-by-step explanation:

               240

              /      \

            2      120                     (240 = 2 x 120)

                   /      \

                 2       60                 (120 = 2 x 60)

                        /      \

                      2       30            (60 = 30 x 2)

                             /      \

                           2       15       (30 = 2 x 15)

                                  /      \

                                3        5

6 0
3 years ago
Read 2 more answers
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