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2 years ago

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Use the formula a2 – b2 = (a b)(a – b) to factor completely. what are the factors of 36x8 – 49? (9x4 – 1)(4x2 49) (36x4 – 7)(x2

7) (6x4 – 7)(6x4 7) (6x8 – 7)(6x 7)

1 answer:

zimovet [89]2 years ago

7 0

The factors of 36x^8 – 49 are (6x^4-7)(6x^4+7).

We are given to factor the following polynomial completely:

36x^8 – 49.

We have to find the complete factor of the given polynomial.

Completely factor means to continuously factor terms until they are in simple terms, meaning you are no longer able to factor

<h3>What is the formula for (a^2-b^2)?</h3>

The formula for (a^2-b^2)= (a+b) (a-b).

Therefore applying the given formula we have,

$F=(6x^4)^2-7^2$

$F=(6x^4)^2-7^2\\F=((6x^4)-7)(6x^4)+7)$

Thus, the required factors are

$F=((6x^4)-7)(6x^4)+7)$

Therefore,option (C) is correct.

To learn more about factors visit:

brainly.com/question/25829061

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Malkia is thinking of a mystery number. She cuts it in half then adds 5. The result is 24. Determine the mystery number. I need

White raven [17]

Answer:38

Step-by-step explanation:if you take 24 and subtract the five she added, it gives you 19 and since she divided it by two you would multiply it by two to get the original number she was thinking of

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance johnathan

Mekhanik [1.2K]

<em><u>An inequality that shows the distance Johnathan could of ran any day this week is:</u></em>

$x\leq 3.5$

<em><u>Solution:</u></em>

Let "x" be the distance Johnathan can run any day of this week

Given that,

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles

Therefore,

Number of days ran = 5

The most he ran in 1 day = 3.5 miles

Thus, the maximum distance he ran in a week is given as:

$distance = 5 \times 3.5 = 17.5$

The maximum distance he ran in a week is 17.5 miles

If we let x be the distance he can run any day of this week then, we get a inequality as:

$x\leq 3.5$

If we let y be the total distance he can travel in a week then, we may express it as,

$y\leq 17.5$

8 0

3 years ago

Find the distance between points P(5, 1) and Q(1, 3) to the nearest tenth.

bonufazy [111]

Answer:

Idk if its multiple choice but you can do 1 of 2 ways theres using distance formula =√(5-3)sq+(1-4)sq

=√4+9

=√13 <--

or

3.6 units

Given: The two points that are P(5,1) and Q(3,4).

To find: The distance between these two points.

Solution: It is given that there are two points that are P(5,1) and Q(3,4).

The distance between these two points can be found out as using the distance formula that is: 3.6

Thus, the distance between the given two points is 3.6 units.

So you choose 13 or 3.6 Hope this helps :)

3 0

3 years ago

Using Unit Rates to compare Ratios continued

nasty-shy [4]

Answer:

Brandon

Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball $75$ times for $550$ yards, and Pete has $42$ carries for $380$ yards.

TO FIND: Who runs farther per carry.

SOLUTION:

Total yards traveled by Brandon $=550\text{yards}$

No. of times ball carried by Brandon $=75\text{ times}$

Average yards per carry for Brandon $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{550}{75}$

$=\frac{22}{3}\text{ yards per carry}$

$=7.33\text{ yards per carry}$

Total yards traveled by Pete $=380\text{ yards}$

No. of times ball carried by Pete $=42\text{ times}$

Average yards per carry for Pete $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{380}{42}$

≅ $9\text{ yards per carry}$

As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.

4 0

3 years ago

Select the rational expression that is equivalent to the given expression below. 4 over x - 3

Ad libitum [116K]

When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number: $\frac{1}{3}$ . in our rational number the denominator is 1, and the numerator is 3

Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation: $\frac{4}{x-3}$ . In this case, the numerator is 4, and the denominator is $x-3$ .

We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span> $\frac{4}{x-3}$ .

4 0

3 years ago