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3 years ago

I need help on number 9. I don’t even know how to start

Mathematics

2 answers:

Elan Coil [88]3 years ago

5 0

begin by pulling 2 out of the numerator using the distributive property.

numerator: 2(16x^4 - 25) and now factor

numerator: 2(4x^2 - 5)(4x^2 + 5)

Now go to the denominator. It looks messy but it will break down.

Pull out 4x^2 for the first two terms and 5 for the last 2 terms. Use the distributive property.

denominator: 4x^2(x - 3) - 5(x - 3) now x - 3 is the common term.

denominator: (x - 3)(4x^2 - 5)

Put the two results together.

$\dfrac{2(4x^2- 5)*(4x^2+5)}{(4x^2-5)(x-3)}$

After canceling out 4x^2 - 5 on both the numerator and the denominator, you are left with.

$\dfrac{2(4x^2+5)}{(x-3)}$

PtichkaEL [24]3 years ago

3 0

Here. scientific notations in division form.
i just finished learning that subject. :)

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Which expression is a difference of squares with a factor of 5x − 8? 25x2 − 16 25x2 16 25x2 − 64 25x2 64.

SpyIntel [72]

The product of the factors (5x − 8) and (5x + 8) is 25x² − 64. Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

One factor of the polynomial is given which is 5x − 8.

Then the polynomial will be

Let the other factor be 5x + 8

Then their product will be

(5x − 8)(5x + 8)

(5x)² − 8²

25x² − 64

More about the polynomial link is given below.

brainly.com/question/17822016

6 0

2 years ago

The distance between Chicago and Cleveland is

lozanna [386]

Answer:

The average speed on this trip was 46.15 mph. The correct option is A.

Step-by-step explanation:

In order to calculate the average speed, we need to apply the following formula:

$v_{avg} = \frac{\text{distance}}{\text{time}}$

We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:

$\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}$

$\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5$

The elapsed time of the trip is the difference between these:

$\text{time} = 17.5 - 9.83 = 7.67 \text{ h}$

We can now apply it to the formula:

$v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}$

The average speed on this trip was 46.15 mph. The correct option is A.

5 0

4 years ago

There is a total of 63 bikes if the ratio of blue to black bikes is 4 to 5 how many are blue

DedPeter [7]

<span>Since the given ratio is blue:black is 4:5
4+5=9

4/9= 0.44 ~ 44%
5/9= 0.56 ~ 56%

Since there are a total of 63 bikes and 44% of these bikes are blue we just multiply 44% with the total number of bikes.

Solution:
1. 0.44 x 63 = 28
2. 0.56 x 63 = 35

Conclusively, there are 28 bikes that are colored blue.</span>

4 0

3 years ago

Yo help plz ill give branliest

Paraphin [41]

Answer:

did you get it ?

Step-by-step explanation:

8 0

3 years ago

Math expressions that equal 13

qaws [65]

Step-by-step explanation:

There can be a lot of math expressions that may equal 13. Here are some of the expressions that equal 13.

9 + 4 = 13

15 - 2 = 13

1 × 13 = 13

Now, let us consider some interesting expression

$x^3-x^2+x+7$

If the value of x = 2, then the expression will be equal to 13.

i.e.

$2^3-2^2+2+7=13$ ∵ when x = 2

Considering a word problem

<em>'Tom has 10 oranges while Tony has 3 more oranges than Tom. How many oranges Tony has?</em>

Let 'x' be the number of oranges Tom has.

The number of oranges Tony has = x + 3

as Tom has 10 oranges, so x = 10

Therefore, the number of oranges Tony has = x + 3

= 10 + 3 = 13

Therefore, the number of oranges Tony has = 13

7 0

3 years ago