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3 years ago

Solve 14n+6p-8n=18 for n

Mathematics

2 answers:

katrin [286]3 years ago

7 0

N = 3 - Y

- You isolate the variable by dividing each side by factors that don't contain any variables what so ever.

adell [148]3 years ago

3 0

Answer:

n = 3 - p

Step-by-step explanation:

Given

14n + 6p - 8n = 18 ← simplify left side

6n + 6p = 18 ( subtract 6p from both sides )

6n = 18 - 6p ( divide both sides by 6 )

n = $\frac{18-6p}{6}$ = $\frac{18}{6}$ - $\frac{6p}{6}$ = 3 - p

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A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.

S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

$x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)$

where:

$(x_A,y_A)=(-7,3)$ are the coordinates of point A

$(x_B,y_B)=(-1,0)$ are the coordinates of point B

$(x_C,y_C)$ are the coordinates of point C

Solving the equation for $x_C$ ,

$x_C = x_B + \frac{x_B-x_A}{3}=-1+\frac{-1-(-7)}{3}=1$

Solving the equation for $y_C$ ,

$y_C=y_B + \frac{y_B-y_A}{3}=0+\frac{0-3}{3}=-1$

So, the coordinates of point C are

$C(-1,1)$

Learn more about how to divide segments:

brainly.com/question/3269852

brainly.com/question/11280112

#LearnwithBrainly

4 0

3 years ago

Which is equivalent to (3 + 2i)(5 + i)?

zepelin [54]

(3 + 2i)(5 + i)
15 + 3i + 10i + 2i^2
15 + 13i - 2
13 + 13i

5 0

3 years ago

There are nine hundred eighty-five thousand, four hundred five people who watched a recent video on

stepan [7]

D is the correct answer because it’s greater than 985, 405

7 0

3 years ago

Read 2 more answers

Drag each tile to the correct box.

Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

$f(a)=h(3)=4$

$f(b)=h(5)=16$

$a=3$

$b=5$

Substitute

$\frac{16-4}{5-3}=6$

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

$f(b)=f(6)=35$

$a=3$

$b=6$

Substitute

$\frac{35-10}{6-3}=8.33$

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

$f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}$

$f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}$

$a=2$

$b=3$

Substitute

$\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6$

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0

3 years ago

Easy question.. giving brainliest<br> x/16 = 10/36<br> x=_

irina [24]

Answer:

x=40/9

Step-by-step explanation:

$\frac{x}{16} = \frac{10}{36} |first \: you \: cross \: multiply| \\ x(36) = 16(10) |open \: bracket | \\ 36x = 160 |divide \: both \: side \:by \: 36 | \\ \frac{36x}{36} = \frac{160}{36} \\ x = \frac{40}{9}$

6 0

3 years ago