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3 years ago

Find the rule for 10 1 12 3 15 6 20 ?

Mathematics

1 answer:

ki77a [65]3 years ago

3 0

Answer:

<h2>See below</h2>

Step-by-step explanation:

For every odd place, the first one, the third one, and so on, the rule to increase each number by 2 then 3 then 5. This is because every even numbered digit, shows how much to increase the other digits by, minus one at the beginning, no change in the middle, and plus one at the end.

I'm always happy to help :)

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A. Is the sum of two polynomials always a polynomial? Explain

IgorLugansk [536]

Answer: The answers for both (a) and (b) is YES.

Step-by-step explanation: A polynomial is an algebraic expression containing two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c and q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0

2 years ago

PPLEASEE HELP<br> FIND THE VOLUME

Doss [256]

Answer:

volume = 7 * 4 * 24 = 672 m 3

Step-by-step explanation:

a^2 = 25^2 - 7^2 = 576

-> a = 24

volume = 7 * 4 * 24 = 672 m 3

7 0

3 years ago

Read 2 more answers

Find the inverse of the following function:

tigry1 [53]

First, we are going to find the inverse function of $f(x)$ by replacing $f(x)$ with $y$ , and then, interchanging $x$ and $y$ and solving for $x$ :
$y=-2 \sqrt{3x-1} -5$
$x=-2 \sqrt{3y-1} -5$
$-2 \sqrt{3y-1} =x+5$
$\sqrt{3y-1} = \frac{x+5}{-2}$
$3y-1=( \frac{x+5}{-2} )^{2}$
$3y=( \frac{x+5}{-2} )^{2} +1$
$y= \frac{( \frac{x+5}{-2})^{2}+1 }{3}$

Next we are going to evaluate our inverse function at $x= \frac{1}{3}$ :
$y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1 }{3}$
$y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1 }{3}$
$y= \frac{(- \frac{8}{3})^{2}+1 }{3}$
$y= \frac{ \frac{64}{9}+1 }{3}$
$y= \frac{ \frac{73}{9} }{3}$
$y= \frac{73}{27}$

We can conclude that the inverse function of $f(x)=-2 \sqrt{3x-1} -5$ when $x= \frac{1}{3}$ is $\frac{73}{27}$

5 0

3 years ago

Kate buys a wheelbarrow priced at $53. Shipping and handling are an additional 30% of the price. How much shipping and handling

jarptica [38.1K]

Answer:

$15.90

Step-by-step explanation:

30% of 53 is 15.90

5 0

2 years ago

Write the number and the nature of the roots of the quadratic

schepotkina [342]

Answer:

two unequal real roots

Step-by-step explanation:

35 - 5(4)(-3) simplifies to 35 + 60, or 95.

Because the discriminant is positive, the quadratic has two unequal real roots.

3 0

2 years ago