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2 years ago

Simplify: 8x + 3 +6x-5

Mathematics

2 answers:

Sphinxa [80]2 years ago

6 0

Answer:

14x +2

Step-by-step explanation:

(8x + 6x) +3 -5 = (14x) +3-5

14x (+ 3-5) = 14x (+ 2)

fredd [130]2 years ago

3 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{14x - 2}}}}}$

Step-by-step explanation:

$\sf{8x + 3 + 6x - 5}$

Collect like terms.

Only coefficients of like terms can be added or subtracted

$\longrightarrow{ \sf{8x + 6x + 3 - 5}}$

$\longrightarrow{ \sf{14x + 3 - 5}}$

The negative and positive integers are always subtracted but posses the sign of the bigger integer

$\longrightarrow{ \sf{14x - 2}}$

Hope I helped!

Best regards! :D

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Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. what is the probability

Katyanochek1 [597]

Answer:

1/3

Step-by-step explanation:

3x3= 9

Make 3/9 a fraction and simplify it and it would give you 1/3

8 0

2 years ago

14+6×(9-6)<br><br>please answer

Andreas93 [3]

Answer:

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

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hope it helps

5 0

2 years ago

Read 2 more answers

Please help me<br> This is analytic geometry

Vlada [557]

Answer:

The coordinates of point B are (-3,-3).

Step-by-step explanation:

Let $A(x,y) = (6,-6)$ , $C(x,y) = (-6,-2)$ and $\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}$ , then we have the following formula by vectorial definition of a line segment:

$\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}$

$B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)]$

$B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)$

$B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)$

$B(x,y) = (-3, -3)$

5 0

2 years ago

How does graphing -3/4 different from graphing 3/4

katovenus [111]

Graph 1: y= -3/4, which means its (x,y) coordinate is (0, -3/4).

Graph 2: y= 3/4, which means its (x,y) coordinate is (0, 3/4).

Graph 1 would be the point -3/4 on the y-axis, while graph 2 would be the point 3/4 on the y-axis.

Therefore, graph 1 and graph 2 are symmetrical about the x-axis.

Hope this would help~

3 0

3 years ago