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11 months ago

Select each expression that is equivalent to 3(n + 6). Select all that apply. (ANSWER ASAP)

Mathematics

2 answers:

rusak2 [61]11 months ago

7 0

Answer:

Step-by-step explanation:

This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.

3(n+6)

To simplify it, you have to multiply the first number by each number in the parenthesis, separately:

3(n+6)

3n + 3(6) or 3xn + 3x6 (same thing)

3n+18

Finally, we can check the other 4 choices to double check.

A. 3n+6 (wrong)

B. 2(n+6) + (n+6)=

2xn + 2x6 + n + 6

2n + 12 + n + 6

combine like terms, or all the terms that are the same. start with the Ns, then the numbers:

2n+n + 12+6

3n+18

C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12

D.3n+18

E. 2n+2+n+4= 2n+n+2+4= 3n+6

Answer= B and D

hope this helps :))

Salsk061 [2.6K]11 months ago

4 0

Answer: 3n+18 bcz of the distributive property

Step-by-step explanation:

b & d

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A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?

vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

Midpoints

If P(a,b) and Q(c,d) are points in $\mathbb{R} ^2$ , the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

$\displaystyle x_m=\frac{a+c}{2}$

$\displaystyle y_m=\frac{b+d}{2}$

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

5 0

3 years ago

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0

2 years ago

The product of the roots of the equation x2 + x=2 is: 0-2 01

gregori [183]

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0 x+2 = 0

x=1 x = -2

Product of the roots

1*-2 = -2

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2 years ago

3. WHAT IS THE END BEHAVIOR?SHOW WORK. - 10x -x+ 2

nekit [7.7K]

Answer:

Step-by-step explanatio

−10x−x+2

=−10x+−x+2

=(−10x+−x)+(2)

=−11x+2

Answer:

=−11x+2

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3 years ago

ASAP

Virty [35]

Answer:a: y=4.5+0.75x

B: y=2.5+1.25x

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Step-by-step explanation:

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3 years ago