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3 years ago

Write six and four hundred eight thousandths as a decimal

Mathematics

2 answers:

ki77a [65]3 years ago

8 0

The answer is 6.408

zalisa [80]3 years ago

6 0

I think it would be 6.048

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What number must you add to the polynomial below to complete the square? x2 + 15x

Aleksandr-060686 [28]

Answer:

The number $\frac{225}{4}$ is added to the polynomial below to complete the square.

Step-by-step explanation:

Perfect square binomial:

A perfect square binomial is given by:

$(a + b)^2 = a^2 + 2ab + b^2$

In this question:

We have that:

$a^2 + 2ab + b^2 = x^2 + 15x + ?$

Since $a = x$ , we have that:

$2ab = 15x$

$2b = 15$

$b = \frac{15}{2}$

Completing the square:

The term that completes the square is $b^2$ . So

$b^2 = (\frac{15}{2})^2 = \frac{225}{4}$

The number $\frac{225}{4}$ is added to the polynomial below to complete the square.

4 0

3 years ago

Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x

Anna11 [10]

Answer:

$f(x)=\frac{3}{125} * 25^x$

Step-by-step explanation:

Given

$f(x)=3*5^{2x-3}$

Required

To determine if it is an exponential function, we have to write in form of

$f(x) = ab^x$

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

$f(x)=3*5^{2x-3}$

Apply Law of indices

$f(x)=3*\frac{5^{2x}}{5^3}$

Express 5^3 as 125

$f(x)=3*\frac{5^{2x}}{125}$

Factorize the exponent of 5

$f(x)=3*\frac{5^{(2)x}}{125}$

Express 5^2 as 25

$f(x)=3*\frac{25^x}{125}$

This can be rewritten as:

$f(x)=\frac{3}{125} * 25^x$

By comparing the above to $f(x) = ab^x$

We have that

$a = \frac{3}{125}$

$b^x = 25^x$

Since, we've be able to express the function as $f(x) = ab^x$

Then, $f(x)=3*5^{2x-3}$ is an exponential function

8 0

3 years ago

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sdas [7]

Answer:

The answer is A

Step-by-step explanation:

5 0

3 years ago

What is the solution to the quadratic inequality? 6x2≥5−13x

Sav [38]

Answer:

X>1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What values are needed to make each expression a perfect square trinomial?

bogdanovich [222]

For the first one, find a number in which, when factored, will give you 4.

x² + 4x + 4
x 2
x 2

(x + 2)(x+ 2)

4 is your best answer

2. x² - 10x + ____

Same for this question. Find a number that, when factored, will give you -10

-100

x² - 10x + 25
x - 5
x -5

(x - 5)(x - 5)

25 is your answer

hope this helps

7 0

3 years ago