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hodyreva [135]
2 years ago
12

Which of the following points IS a solution to the system: y > - 3x + 4 / y > 2x / - y < 7 Selected answer is not corre

ct.

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
6 0

Answer:

Solution : Third Option

Step-by-step explanation:

The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.

\begin{bmatrix}y>-3x+4\\ y>2x\\ y>-7\end{bmatrix}

Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.

Therefore, the third option is a solution to the system.

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The ordered pairs model an exponential growth function. (−1,21.875), (0,35), (1,56), (2,89.6) What is the function equation? f(x
Karolina [17]

Answer:

Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.

Step-by-step explanation:

Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time.  Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6.  Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'.  Plugging in these values will give us the final equation f(x)=35(1.6)^x.

5 0
2 years ago
Are 2(x-5) and 2x-5 equivalent
Mandarinka [93]
No, because with the parentheses, you distribute the 2 to both the x and the 5, making that equation 2x-10
7 0
3 years ago
Read 2 more answers
3x + 5 = x - 3
dusya [7]

Answer:

x = -4

Step-by-step explanation:

3x + 5 = x - 3

Subtract x from each side

3x+5-x = x-3-x

2x+5 = -3

Subtract 5 from each side

2x+5-5 = -3-5

2x = -8

Divide each side by 2

2x/2 = -8/2

x = -4

7 0
2 years ago
Read 2 more answers
The area of a square garden is 1/36 mi 2 how long is each side<br><br>​
Vitek1552 [10]

Answer:

1/6 meters

Step-by-step explanation:

Let the side length be x.

Then the area of the square = x^2

∴ x^2 = 1/36

√(x^2) = √(1^2 / 6^2)

x        = 1/6

Therefore, the side length is 1/6 meters.

Hope it helped you!!!

6 0
3 years ago
Divide: -84 by -7 A) -14 B) -13 C) 12 D) 13
rewona [7]
C.12

Divide
-84•/•7=12
5 0
3 years ago
Read 2 more answers
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