All categories

3 years ago

3 and 6- solve by graphing other two solve by substitution

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

Answer:

3. (x, y) = (3, 2)

6. (x, y) = (10, 4/3)

9. (x, y) = (-2, -1)

12. (x, y) = (8, 3)

Step-by-step explanation:

3, 6. See the attachment. 3 is graphed in red/orange. 6 is graphed in blue, purple.

9. Use the expression for y in the second equation to substitute for y in the first equation:

4(3x +5) -x = -2

12x +20 -x = -2 . . . eliminate parentheses

11x = -22 . . . . . . . . subtract 20, collect terms

x = -2 . . . . . . . . . . . divide by 11

y = 3(-2) +5 = -1 . . .substitute for x in the second equation

The solution is (x, y) = (-2, -1).

12. Subtract 3/4x from the second equation to get an expression for y:

y = 9 - 3/4x

Substitute that into the first equation:

3(9 -3/4x) -5/4x = -1

27 -9/4x -5/4x = -1 . . . . eliminate parentheses

-14/4x = -28 . . . . . . . . . . collect terms, subtract 27

x = 8 . . . . . . . . . . . . . . . . multiply by -4/14

y = 9 -3/4(8) = 3 . . . . . . substitute into the expression for y

The solution is (x, y) = (8, 3).

You might be interested in

Whats the ration of 2 feet to 39 inches

monitta

Answer:

63 inches

Step-by-step explanation:

that's what I got.

7 0

3 years ago

Student scientific calculator 3×10^5 is displayed as 3 EE 5 in that case how was the panic of 80,000 and 5000 be displayed on Th

faltersainse [42]

Hello,
We know that
3×10^5= 3 EE 5
Change 80,000 to the scientific notation
8×10^4
Doing the same like 3×10^5, I can get 8 EE 4
Change 5000 to the scientific notation
5×10^3
Then it will appeared as 5 EE 3. Hope it help!

4 0

3 years ago

Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft

Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation: 6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

6 0

3 years ago

the faster a vehicle is going, the further it will continue to travel after the brakes are applied. Which is the independent var

nevsk [136]

I believe that the answer is speed in this situation but I'm not 100% sure

3 0

3 years ago

Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded his score for each

const2013 [10]

Answer:

The measure of variability should be used.

Step-by-step explanation:

It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.

Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.

This is because:

The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.

Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.

Thus, to answer his mother's question, the measure of variability should be used.

8 0

3 years ago