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2 years ago

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)

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

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the linear equation for function is:

y = 2x

Keywords: Linear function, slope intercept form

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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

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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

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

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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

~ $\sf{TheAnimeGirl}$

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