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bezimeni [28]
2 years ago
8

Add the two expressions. 3x + 7 and 9x−2

Mathematics
2 answers:
dexar [7]2 years ago
4 0

Answer:

  • 12x + 5

Step-by-step Solution:

  • (3x + 7) + (9x − 2)

[Opening the brackets]

  • => 3x + 7 + 9x - 2

[Combining Like terms]

  • => (3x + 9x) + (7 - 2)

[Simplifying]

  • => 12x + 5

aleksklad [387]2 years ago
3 0

Let's add

\\ \tt\hookrightarrow 3x+7+(9x-2)

  • Remove brackets

\\ \tt\hookrightarrow 3x+7+9x-2

Combine like variables

\\ \tt\hookrightarrow 3x+9x+7-2

\\ \tt\hookrightarrow 12x+5

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No one helped me with the last question but i got it can someone help me with this
andriy [413]

y = 2x

Step-by-step explanation:

The linear functions are given by:

y = mx+b

To find the slope, we have to find the change in x and y

The change in x is:

-14-(42) =-14+42 =28\\14+14= 28

The change in y is:

-28-(-84) = -28+84 = 56\\28-(-28) = 28+28 = 56

The slope is:

Slope = \frac{change\ in\ y}{Change\ in\ x}\\=\frac{56}{28}\\= 2

Putting slope in equation of linear function

y =2x+b

To find the value of b, we will put any pair of input and output in the slope-intercept form

So, putting (14,28)

28 = 2(14) + b\\28 = 28+b\\b = 28-28\\b = 0

Hence,

the linear equation for function is:

y = 2x

Keywords: Linear function, slope intercept form

Learn more about linear function at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

5 0
2 years ago
An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli
kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)=  ∑P(X=i)  from i=0 to i=50   =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

8 0
3 years ago
An education firm measures the high school dropout rate as the percentage of 16 to 24 year olds who are not enrolled in school a
posledela

Answer:

The value of the test statistic z = -0.6606

Step-by-step explanation:

From the question we are told that

      The high dropout rate is \mu  = 6.1%  = 0.061

      The  sample size is  n = 1000

       The  number of dropouts x = 56

       The probability of having a dropout in 1000 people  \= x  = \frac{56}{1000}  =  0.056

Now setting up Test Hypothesis

 Null  H_o :  p = 0.061

 Alternative  H_a : p < 0.061        

The Test statistics is mathematically represented as

                 z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }

substituting values

               z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }

               z = -0.6606

6 0
2 years ago
Find the midpoint of the segment whose endpoints are (8,6) and (-2,-8).
inna [77]

Answer:

\huge{ \fbox{ \sf{ \: ( \: 3 \: ,  \:  - 1 \: )}}}

Step-by-step explanation:

\star{ \sf { \: Let \: the \: points \:be \: A \: and \: B}}

\star{ \sf{ \: Let \: \: A (8,6) \: be \: (x1 \:, y1) and  \: B(-2,-8) \: be \: (x2 \:, y2)}}

\underline{ \sf{Finding \: the \: midpoint}}

\boxed{ \rm{Midpoint \:  =  \: ( \frac{x1 + x2}{2}  \: ,  \:  \frac{y1 + y2}{2} )}}

\mapsto{ \sf{Midpoint = ( \frac{8 + ( - 2)}{2}  \: ,  \:  \frac{6 + ( - 8)}{2} )}}

\mapsto { \sf{Midpoint = ( \frac{8 - 2}{2}  \: ,  \:  \frac{6 - 8}{2} }})

\mapsto{ \sf{Midpoint = ( \frac{6}{2}  \: ,  \:  \frac{ - 2}{2}) }}

\mapsto{ \sf{Midpoint = (3 \: \:  ,   - 1)}}

Hope I helped!

Best wishes!! :D

~\sf{TheAnimeGirl}

5 0
3 years ago
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST ANSWER NO TROLLS
IceJOKER [234]

Answer:the X factor is 7

Step-by-step explanation:

4 0
2 years ago
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