Mathematics High School

What is the y-intercept of the line
with the equation y = - 4x - 12

Answers

Answer 1

Answer:

-12 is the y intercept while your slope is -4

Step-by-step explanation:

Related Questions

What is the Smallest Positive Integer with at least 8 odd Factors and at least 16 even Factors?

Answers

Therefore, the smallest positive integer with at least 8 odd factors and at least 16 even factors is N = 1800.

what is Combination?

In mathematics, combination is a way to count the number of possible selections of k objects from a set of n distinct objects, without regard to the order in which they are selected.

The number of combinations of k objects from a set of n objects is denoted by [tex]nCk[/tex] or [tex]C(n,k),[/tex] and is given by the formula:

[tex]nCk = n! / (k! *(n-k)!)[/tex]

where n! denotes the factorial of n, i.e., the product of all positive integers up to n.

by the question.

Now, let's consider the parity (evenness or oddness) of the factors of N. A factor of N is odd if and only if it has an odd number of factors of each odd prime factor of N. Similarly, a factor of N is even if and only if it has an even number of factors of each odd prime factor of N. Therefore, the condition that N has at least 8 odd factors and at least 16 even factors can be expressed as:

[tex](a_{1} +1) * (a_{2} +1) * ... * (an+1) = 8 * 2^{16}[/tex]

Let's consider the factor 2 separately. Since N has at least 16 even factors, it must have at least 16 factors of 2. Therefore, we have a_i >= 4 for at least one prime factor p_i=2. Let's assume without loss of generality that p[tex]1=2[/tex] and [tex]a1 > =4.[/tex]

Now, let's consider the remaining prime factors of N. Since N has at least 8 odd factors, it must have at least 8 factors that are not divisible by 2. Therefore, the product (a2+1) * ... * (an+1) must be at least 8. Let's assume without loss of generality that n>=2 (i.e., N has at least three distinct prime factors).

Since a_i >= 4 for i=1, we have:

[tex]N > = 2^4 * p2 * p3 > = 2^4 * 3 * 5 = 240[/tex]

Let's now try to find the smallest such N. To minimize N, we want to make the product (a2+1) * ... * (an+1) as small as possible. Since 8 = 2 * 2 * 2, we can try to distribute the factors 2, 2, 2 among the factors (a2+1), (a3+1), (a4+1) in such a way that their product is minimized. The only possibility is:

[tex](a2+1) = 2^2, (a3+1) = 2^1, (a4+1) = 2^1[/tex]

This gives us:

[tex]N = 2^4 * 3^2 * 5^2 = 1800[/tex]

To learn more about distribute:

https://brainly.com/question/29062095

#SPJ

y=x^2+7x-3
complete the square to re-write the quadratic function in vertex form.
pls help

Answers

Answer:

Y=x^2+7x-3

complete the square to re-write the quadratic function in vertex form.

pls help

Step-by-step explanation:

To complete the square, we need to add and subtract a constant term inside the parentheses, which when combined with the quadratic term will give us a perfect square trinomial.

y = x^2 + 7x - 3

y = (x^2 + 7x + ?) - ? - 3 (adding and subtracting the same constant)

y = (x^2 + 7x + (7/2)^2) - (7/2)^2 - 3 (the constant we need to add is half of the coefficient of the x-term squared)

y = (x + 7/2)^2 - 49/4 - 3

y = (x + 7/2)^2 - 61/4

So the quadratic function in vertex form is y = (x + 7/2)^2 - 61/4, which has a vertex at (-7/2, -61/4).

Other Questions
in data science, is when a data analyst uses their unique past experiences to understand the story the data is telling. 6. Examples of price discrimination Complete the following table by indicating whether or not each scenario is an example of price discrimination. Hint: To determine whether a scenario is an example of price discrimination, think about whether the market can be segmented into two groups that pay different prices for the same good. Price Discrimination Scenario Yes No A local boutique is having a sale on sweaters, but customers are not aware of the sale until they are already in the store. In other words, there is no advertising of the sale other than signs in the back of the store that cannot be seen from the outside. All sweaters are marked as 25% off. Southeast Airlines offers domestic flights to a variety of U.S. cities. The company's last-minute flight discount service, Ping, can be downloaded for free from its website. Each day, Ping will alert users to that day's deals. These deals are available for a short period of time and are good for travel only between certain locations during specified travel periods. Therefore, business travelers tend not to take advantage of these offers. HELP PLS combine the like terms 3x+5-x+3+4x In the astonishing hypothesis (1994, p. 49) sir francis crick noted, "when one neuron tells another neuron is simply how much it is excited. " using terms from the chapter, compare the neural communication when we are a) tapped gently on the arm, and b) slapped across the face A bus engine transfers chemical potential energy into ___ so that the bus moves.a. kinetic energyb. thermal energyc. gravitational potential energyd. electrical energy the poor state of facilities in your school is causing the student great concern as the senior prefect write a letter to the chairman of the board of the government highlighting the problems and requesting him to come to the aid of the school if (20x+10) and (10x+50) are altenative interior angle then find x Which of the following is the best example of an adaptation that improves an organism's "fitness"?A. Dark-colored lizards living on light rocks.B. A thick coat of fur on animals living in the hot desert.C. Lizards with sticky toe pads live among tall trees. which of the following includes all common types of radioactive decay? a. atomic number, beta particle emission, electron capture B. alpha particle emission, beta particle emission, half-life C. alpha particle emission, beta particle emission, radioactive parent isotope D. alpha particle emission, beta particle emission, electron capture E. alpha particle emission, stable daughter, electron capture what is convergent wind Charged ions such as sodium, potassium, and chloride are called ______. In preparing a company's statement of cash flows using the indirect method, the following information is available:Net income$59,000Accounts payable decreased by$25,000Accounts receivable increased by$32,000Inventories increased by$12,000Cash dividends paid$15,400Depreciation expense$27,000Net cash provided by operating activities was:a. $51,000b. $75,600c. $141,000d. $37,000e. $17,000 For a standard normal distribution, find:P(-2.11 < z < -0.85) Among full-time workers, women earn 79 percent as much as men. Among people approaching retirement age (forty-five to sixty-four years) women earn ________ as much as men in the same age category. Among people age sixty-five and older (who may or may not be working), women earn ________ as much as men in the same age category Data were collected on the amount, in dollars, that individual customers spent on dinner in an Italian restaurant. The quartiles for these data are shown. Which of the following statements must be true for these customers?answer choicesAt least half of the customers spent less than or equal to $44.27 and at least half spent more than or equal to $44.27.Seventy-five percent of the customer spent between $36.27 and $58.97Twenty-five percent of the customers spent less than or equal to $58.97 and the remaining 75 percent spent greater than or equal to $58.97The mean amount spent by customers is $44.27A majority of customers spent $44.27 What are the zeros of the function? Set the function = 0, factor, and use the zero-product property. Show your steps!f(x) = x + 7x 60(100 POINTS AND BRAINLIEST) if these two plants were to cross, what would the offspring look like? an offspring gets 1 allele from each parent for each trait. since there are two traits for each parent, the offspring will be represented by a four-letter genotype. fill in the genotype of the f1 offspring. standards promulgated by the fasb are most likely to be adhered to by which of the following governmental units? Find the distance from Link to the Octorok so Link can attack besides using existing graphics, what is one other approach to procuring graphics, according to chapter 8?