Write the expression 7x^10 + 6x^5 + 5 in quadratic form.

Mathematics

1 answer:

adoni [48]3 years ago

8 0

For this case we have the following expression:

$7x^{10} + 6x ^ 5 + 5$

We must rewrite it quadratically:

By definition, a quadratic equation is of the form:

$ax ^ 2 + bx + c = 0$

Now, suppose $u = x ^ 5$

Rewriting the given expression with the change of variable we have:

$7u ^ 2 + 6u + 5$

So, we have a quadratic expression.

Returning the change we have:

$7 (x ^ 5) ^ 2 + 6 (x ^ 5) +5$

ANswer:

Option B

You might be interested in

Find four fractions between 1/10 and 1/8

Alex17521 [72]

9514 1404 393

Answer:

5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

1/8.4 = 5/42

1/8.8 = 5/44

1/9.2 = 5/46

1/9.6 = 5/48

<em>Check</em>

1/8 = 0.125
5/42 ≈ 0.119
5/44 ≈ 0.114
5/46 ≈ 0.109
5/48 ≈ 0.104
1/10 = 0.100

_____

<em>Additional comment</em>

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

6 0

3 years ago

A Pharmacist whishes to mix a solution that is 6% Minoxidil. She has on hand 100 ml of 4% solution and wishes to add some 8% sol

Kaylis [27]

Answer:

She would need 100 ml of the 8% solution

Step-by-step explanation:

You can always answer these questions using a proportion. The numerator will represent the amount of Minoxidil, and the denominator will represent the total amount of solution

She already ha 100 ml of a 4% solution. That means that she has 4 ml of Minoxidil already

$\frac{4 + 0.08(S)}{100 + S} =\frac{6}{100}$