Answer: 3 x 5
Step-by-step explanation: To find the prime factorization of 15, first create a factor tree with two branches. Since 15 ÷ 3 = 5, we know that 3 and 5 are factors of 15. So we write 3 and 5 at the bottom of the branches.
While 1 and 15 are also factors, we don't use them in out factor tree. That's because when finding the prime factorization, we always use numbers other than 1 and the number itself.
Next, we circle any prime factors in the factor tree. Since both 3 and 5 are prime, we circle both 3 and 5. Since we have circles at the bottom of all of our branches, we are finished.
So the prime factorization of 15 is 3 x 5.
Notice that we write our prime factorization as a multiplication problem. Think of the prime factorization of a number as the prime factors of the number that you multiply together to get the original number.
C is the answer because the X factors can’t repeat
Answer:
b. y ≤ x + 1 and y > x - 3
Explanation:
First of all, remember that a solid line means the inequality has a ≤ or ≥ sign, and a dotted line means the inequality has a < or > sign.
One way to solve this is to find a point inside the shaded region, like (0, 0) that you can test in the options to see which ones work. Another method is to figure out what the graph of each line is and then make sure the signs are turned the right direction so the shading is correct.
We know that the first inequality should have a greater/less than or equal to sign because the line is solid and the second inequality should just be a greater/less than sign because the line is dotted. That means it has to be B, because this is the only correct combination of signs.
But to be sure, you should check. Try (-1,0) and (0, 0)
y ≤ x + 1 and y > x - 3
0 ≤ -1 + 1 0 > - 1 - 3
0 ≤ 0 yes 0 > - 4 yes
0 ≤ 0 + 1 0 > 0 - 3
0 ≤ 1 yes 0 > -3 yes
People who cook, either professionally or for personal use, use simple algebraic expressions to adjust the ingredients in a dish depending on the number of servings desired. Medical professionals use algebra in a variety of applications, such as determining drug dosage and measuring the performance of body functions, such as cardiac output.
The answer is about 12.5 (when rounded to the nearest 10th).
This can be found using the distance formula between each point. One distance is 5, one is
and one is
. Added together gives you the answer above.
