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2 years ago

Which expression has a coefficient of positive 1 for the the term n?

Mathematics

1 answer:

yanalaym [24]2 years ago

4 0

Answer:

3n^2+n-2

Step-by-step explanation:

Coefficient is the number that we multiply an expression that contains a variable. In all the expressions above the variable is n.

Some examples:

Coefficient of n^2 is 1.

Coefficient of n in n^2+2n+1 is 2.

Solution:

In 5n^2+6n-1 the Coefficient of n is 6.

In 2n^2+5n+1 the Coefficient of n is 5.

In 40^2 - n +9 the Coefficient of n is - 1.

In 3n^2 +n - 2 the Coefficient of n is POSITIVE 1.

We tend to not write 1*n because 1*n=n.

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Simplify (2x+1)(x+8) - (x-3)(2x+1)

Olin [163]

Answer:

22x+11 is your answer

Step-by-step explanation:

(2x+1)(x+8) - (x-3)(2x+1)

(2x+1)(x+8-x+3)

(2x+1)(11)

=22x+11

8 0

2 years ago

I’m supposed to solve this by eliminating the x variable

liberstina [14]

Answer:

the answer is (-4, 5)

Step-by-step explanation:

Let's use elimination by addition / subtraction:

-6x - 2y = 14

6x + 7y = 11

-------------------

5y = 25, so y = 5.

Substituting 5 for y in the 2nd equation, we get:

6x + 7(5) = 11, or:

6x + 35 = 11, or

6x = -24, or x = -4.

Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.

Check: Is (-4, 5) a solution to this system?

Subst. -4 for x and 5 for y in the first equation:

-3(-4) - (5) = 7

12 - 5 = 7 YES

3 0

3 years ago

If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,

S_A_V [24]

Taking $y=y(x)$ and differentiating both sides with respect to $x$ yields

$\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0$

Solving for the first derivative, we have

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y$

Differentiating again gives

$\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0$

Solving for the second derivative, we have

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}$

Now, when $x=1$ and $y=2$ , we have

$\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63$

3 0

2 years ago

HELP!!!!!!!!!!!

liraira [26]

<span>A.The distributions are somewhat similar.

B.The means-to-MAD ratio is 4.

C.The distributions are different.

D.The means-to-MAD ratio is 3.

To get your answer </span>add all them together divide by 8.1 then multiply it to the second power.

8 0

2 years ago

Which is the equation of a line that has a slope of 2 and contains the point (0,5)

riadik2000 [5.3K]

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=2(x-0) \\\\\\ y-5=2x\implies y=2x+5$

7 0

2 years ago