(30 points)

Mathematics

1 answer:

olchik [2.2K]3 years ago

7 0

Answer:

3, 4, 7

Step-by-step explanation:

In order to solve inequalities, you want to isolate the variable.

Subtract 3 from both sides to give you (I can't put the greater than or less than or equal to with the line underneath, so just imagine that it's there)

-8 <-4r

Divide both sides by -4 to get the r by itself.

-8÷-4=2

2<r

Two is less than or equal to r, or you can word it r is greater than or equal to 2. So now you look at your options, and choose the ones that are greater than 2. 3, 4, and 7 are all greater than 2.

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What is the geometric mean between 9/16 and 25/36

sergiy2304 [10]

Answer:

5/8

Step-by-step explanation:

Geometric mean is found by multiplying the n number of values and then taking the n-root.

To do this with these numbers, sqrt((9/16)*(25/36)) = (3/4)(5/6) = (1/4)(5/2)= 5/8

I hope this helps! :)

6 0

3 years ago

In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate

crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

8 0

2 years ago

Consider this linear function:

ivolga24 [154]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The attachment shows the ordered pairs (x, f(x)) and their graph.