Answer:
y-intercept: (0, 12/5) or (0, 2.4)
x-intercept: (12/7, 0) or (1.714, 0)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.
7x + 5y=12
7*0 + 5y = 12
y = 12/5 = 2.4
y-intercept: (0, 12/5) or (0, 2.4)
The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.
7x + 5y=12
7x + 5*0 = 12
x = 12/7 = 1.714
x-intercept: (12/7, 0) or (1.714, 0)
Finally, the graph is shown below.
Answer:
a=2^2
b=3^5
c=4^3x5^2
d=7^2x9^4
Step-by-step explanation:
All you have to do is write the number that is already there and power it by number of times it is repeated.
If there are two different numbers in a question (like c and d) you should start with the smaller number and then follow with the larger on with a x/times symbol between them.
Answer:
2 students study none of the subjects.
Step-by-step explanation:
Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).
We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.
Answer:
Step-by-step explanation:
In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.
Alternately, the nth term is first term times k^(n-1).
Here, that's 3×5^(10-1), 3×5^9=5859375
