MATHEMATICS MIDDLE SCHOOL

If f(x) = 1x1 + 9 and g(x) = -6, which describes the value of (f + g)(x)?(f + g)(x) > 3 for all values of x
(f + g)(x) < 3 for all values of x
(f + g)(x) < 6 for all values of x
(f + g)(x) 6 for all values of x
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Answers

Answer 1

Answer:

Answer:

The answers are "(f+g)(x)> 3 for all values of x" and "(f+g)(x)<6 for all values of x".

Step-by-step explanation:

If f(x) = 1x1 + 9 =10, then f(x) is a constant for every value of x, which means that y=f(x) will take the value of 10 no matter which value takes x.
If g(x)= -6, then g(x) is a constant for every value of x, which means that it will take the value of -6 no matter the value of x.
(f+g)(x)=10 + (-6) = 10 - 6= 4. Then, no matter the value of x, the function (f+g)(x) will equal 4 (a constant).

According to the available options, both "(f+g)(x)>3" and "(f+g)(x)<6" are true, because (f+g)(x)=4>3 and (f+g)(x)=4 <6.

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The square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

Answers

Answer:

(7x+3/4*[x-1])^2

Step-by-step explanation:

The square of the sum of 7 times x. and 3 divided by 4 times the difference of x and 1. This would mean that (7x+3/4*[x-1])^2 You would perform x - 1 in the [] first, which is why they are in the extra brackets. The whole thing is squared, so it is all in parenthesis, being squared. It says 3/4 into x-1. This would mean it's multiplying into x-1.

Solve using substitution or elimination. Remember, you must check your work.10x -15y = 10
4x + 6y = 0

Answers

Answer:

The answer to your question is: (1/2, -1/3)

Step-by-step explanation:

Elimination

10x - 15y = 10 (I)

4x + 6y = 0 (II)

Multiply (I) by 2 and (II) by -5

20x - 30y = 20

-20x - 30y = 0

Add both equations

0 - 60y = 20

y = -20/60

y = - 1/3

Substitute y in (II)

4x + 6(-1/3) = 0

4x - 2 = 0

4x = 2

x = 2/4

x = 1/2

4(1/2) + 6(-1/3) = 0

4/2 - 6/3 = 0

2 - 2 = 0

0 = 0

Answer:

(1/2, -1/3)

Step-by-step explanation:

To solve using elimination, you have to make one of the variables from both equations additive inverses. Let's make the x-variables additive inverses.

First, we multiply the first equation by -2.

-2(10x - 15y) = -2(10)

-20x + 30y = -20

Now, we muliply the second equation by 5.

5(4x + 6y) = 0

20x + 30y = 0

If you look at the x-variables, now they are additive inverses. Now we add the two equations together.

-20x + 30y = -20

20x + 30y = 0

60y = -20

/60 /60

y = -1/3

Now you plug in the known y-value into any of the first equations. Let's use 4x + 6y = 0

4x + 6(-1/3) = 0

4x - 2 = 0

+2 +2

4x = 2

/4 /4

x = 1/2

The solution to this system of equations is (1/2, -1/3). You can change to decimal form if you want. To check your work, you plug in the x and y-values into the two equations in the question.

10x - 15y = 10

10(1/2) - 15(-1/3) = 10

5 + 5 = 10

10 = 10

So, the solution is true for this equation. Let's check the second one.

4x + 6y = 0

4(1/2) + 6(-1/3) = 0

2 - 2 = 0

0 = 0

Yes! When you plug the solution into the equations, they are true! So, your solution is (1/2, -1/3).

At the ABC Electronics Store, a laptop computer was marked down 15% from its original price of $900. A store employee gets an additional 20% discount on the already marked-down price. How much does the employee pay for the laptop computer?

Answers

The answer is $612. You have to times by 0.85, then times by 0.8

List multiples to find the LCM of 27 and 45
A. 45
B. 675
C. 1, 215
D. 135

Answers

the answer is (D)135

The answer is 135

27- 27,54,81,108,135,162,189,216

45- 45,90,135,180,225

There are 25 students performing in the holiday concert. Of the students, 11 are boys. What percent of the students are boy's? Please show work

Answers

There are 25 students performing in the holiday concert. Of the students, 11 are boys. The percentage of students that are boys are 44%

From the given information;

In a holiday concert, there are 25 students participating actively in it.

If 25 students are equivalent to 100 percent;

The percentage for one student will be:

$\mathbf{= (1 \ student * 100 \%)/(25 \ students)}$

= 4%

The percentage of 1 student = 4%.

Now, of the students, 11 are boys and we are to determine the percentage of students that are boys:

∴

The number of students that are boys = 11 × 4%

= 44%

Therefore, we can conclude that the number of students that are boys is 44%.

Learn more about percentage here:

brainly.com/question/2155156?referrer=searchResults

Total students = 25

Boys = 11

Girls = 25-11 = 14

To find the percent of boys, you need to do:

11/25 * 100

1100/25 = 44

Therefore, 44% of boys are there in class.

Please help thank you BTW I ONLY HAVE 13 points so please don’t just answer to take my point because I swear I’m so close to crying and that’s not going to help