Answer:
The solution set is the interval (-∞ , 6] <em>OR </em> {x : x ≤ 6}
Step-by-step explanation:
* Lets explain how to find the solution set of the inequality
- The inequality is 5x - 9 ≤ 21
∵ 5x - 9 ≤ 21
- At first add 9 to both sides of the inequality to separate x in one
side and the numbers in the other sides
∴ 5x - 9 + 9 ≤ 21 + 9
∴ 5x ≤ 30
- Lets divide both sides of the inequality by 5 to find the values of x
∴ (5x ÷ 5) ≤ (30 ÷ 5)
∴ x ≤ 6
- The solutions of the inequality is all real numbers smaller than
or equal to 6
∴ The solution set is the interval (-∞ , 6] <em>OR </em> {x : x ≤ 6}
- We can represent this inequality graphically to more understand
for the solution
- From the graph the solution set is the purple area
V = LWH
V = 7 * 2 * 3.5
V = 49
ANSWER
(0,-4)
EXPLANATION
The coordinates of J' are (0,-2).
Let the coordinates of J be (a,b).
Then we apply the rule of the dilation to get,
.
![J( a, b)\to J'( \frac{1}{2} a, \frac{1}{2} b)](https://tex.z-dn.net/?f=J%28%20a%2C%20b%29%5Cto%20J%27%28%20%5Cfrac%7B1%7D%7B2%7D%20a%2C%20%5Cfrac%7B1%7D%7B2%7D%20b%29)
This implies that,
![\frac{1}{2} a = 0](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20a%20%3D%200)
![a = 0](https://tex.z-dn.net/?f=a%20%3D%200)
And also,
![\frac{1}{2} b = - 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20b%20%3D%20%20-%202)
![b = - 4](https://tex.z-dn.net/?f=b%20%3D%20%20-%204)
Hence the vertex J of the preimage is
(0,-4)
The first choice is correct.
18 straws because 72 divided by 4 is 18 that is an example of summary number modeling.
Answer:
305
Step-by-step explanation:
61 x 5 = 305