Answer:
y-intercept = 3
Step-by-step explanation:
The given equation is :
6x-5y=-15
We can rewrite it ib slope-intercept form as follows :
Dividing both sides by 5
.....(1)
The general equation of slope-intercept form is:
y = mx +c ....(2)
On comparing equation (1) and (2) we get :
m = 6/5
c = 3
Hence, the y intercept of the graph of the equation is 3.
Answer:
When you're talking factors, you're talking about some sort of integer; that's because “factors” depends on the concept of divisibility, which are virtually exclusive to integers. When you're talking “greater than”, you're excluding complex numbers (where the concept of ordering doesn't exist) and you're probably assuming positive integers. If you are, then no; no positive integer has factors that are larger than it.
If you go beyond positive numbers, that changes. 0 is an integer, and has every integer, except itself, as factors; since its positive factors are greater than zero, there are factors of zero that are greater than zero. If you extend to include negative numbers, you always have both positive and negative factors; and since all positive integers are greater than all negative integers, all negative integers have factors that are greater than them.
Beyond zero, though, no integer has factors whose magnitudes are greater than its own. And that's a principle that can be extended even to the complex integers
Step-by-step explanation:
In order to write this quadratic equation in standard form, first note that standard form is ax^2+bx+c for quadratics, where c is the numerical value (constant), B is the coefficient of x, and a is the coefficient of x^2 and is the leading coefficient. Next, multiply the binomials of (x-7) and (x-1). You can do this by using FOIL, or by distributing each of the terms in a binomial to each of the other terms in the other binomial. (Please let me know if you need a walk through in this step in particular). Furthermore, you should then write y= (the simplified trinomial). Now, the quadratic is in standard form. To reiterate, just simplify the two binomials by multiplying them together and writing that they're equal to y.
Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.
Step-by-step explanation:
From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.
During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:
= 480/1000 × 100
= 48%
Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.
Answer:
6
Step-by-step explanation:
145-68.50 = 76.50
76.20/12.75 = no of t-shirts she can buy
ans= 6