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Papessa [141]
4 years ago
13

If the domain of a function f is {x|0≤x≤7} and the domain of a function g is {x|-2≤x≤5}, then the domain of the sum of the funct

ion f+g is ______
Mathematics
1 answer:
IceJOKER [234]4 years ago
4 0

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

For function f:

x - 7 ≤ 0 and x ≥ 0

For function g:

x + 2 ≥ 0 and x - 5 ≤ 0

The sum of the f + g:

x - 7 + x - 5 ≤ 0

2x - 12 ≤ 0

2x ≤ 12

∴ x ≤ 6

Also, x + 2 ≥ 0

x ≥ -2

Hence, -2 ≤ x ≤ 6

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During the sixth grade lunch period, Paul asks every third student who enterd the lunchroom a survey question. Which question is
Neko [114]

Answer:

D

Step-by-step explanation:

You would have to eliminate A because the students have not yet been to other school districts especially if it's every third. You would also have to eliminate B because well, there really isnt any other place to eat but the lunchroom because otherwise it might pose a problem, and with C it can be difficult but again, if we were to try to change something the time they take really has no impact. D would have to be the correct answer because every third student will have various favorite lunch items and will ultimately tell the school that the gross macaroni that is like...unedible is bad and needs to be taken out...immediatley.

4 0
3 years ago
Read 2 more answers
No Links
Black_prince [1.1K]

Answer:

C

Step-by-step explanation:

A and B would be very expensive for 2 people, and D is too little, so C would be sensible! Hope this helps!

5 0
3 years ago
Kamal wrote the augmented matrix below to represent a system of equations
ra1l [238]

Consider the operation is R_2\to -3R_2.

Given:

The augmented matrix below represents a system of equations.

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

To find:

Matrix results from the operation R_2\to -3R_2.

Step-by-step explanation:

We have,

\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]

After applying R_2\to -3R_2, we get

\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]

\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]

Therefore, the correct option is A.

3 0
3 years ago
For the following paired data, (1) Calculate the correlation coefficient, r, and (2) at the 0.05 significance level, determine w
expeople1 [14]

Answer:

Linear correlation exists

Step-by-step explanation:

Given the data :

X : | 2 4 5 6

Y : | 6 9 8 10

Using technology to fit the data and obtain the correlation Coefficient of the regression model,

The Correlation Coefficient, r is 0.886

To test if there exists a linear correlation :

Test statistic :

T = r / √(1 - r²) / (n - 2)

n = number of observations

T = 0.886 / √(1 - 0.886²) / (4 - 2)

T = 0.866 / 0.3535845

T = 2.449

Comparing Pvalue with α

If Pvalue < α ; Reject H0

Pvalue = 0.1143

α = 0.05

Pvalue > α ; We reject the null and conclude that linear correlation exists

7 0
3 years ago
a third grader has a goal of solving 100 math facts in 5 minutes (or 300 seconds). how many seconds can he spend on each math fa
arsen [322]

Answer:

1 fact per 3 seconds because you divide 300 by 100

5 0
3 years ago
Read 2 more answers
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