MATHEMATICS HIGH SCHOOL

Why might someone choose to use the the y-intercept and the slope to graph a line?

Answers

Answer 1

Answer:

For this case the generic equation of the line is given by:

y = mx + b

Where,

m: slope of the line

b: intersection with the y axis.

To graph a line it is necessary to know the values of m and b.

Answer:

y = mx + b

You need to know m and b to graph the function completely.

For this reason, someone would choose to use the y-intercept and the slope

Answer 2

Answer: If someone had an equation that was in slope intercept form, the y intercept and slope are easily accessible and easily calculable.

Therefore, if someone had a line that was in slope intercept form, then they would probably choose to use the y intercept and slope to graph that line.

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Math question please help

Which of the following functions is not written in explicit form? y=x
x^2-6xy-9y^2=0
y=0
y=-squrt (1-x2)

Answers

Answer:

Option 2 and 3 are not written in explicit form.

Step-by-step explanation:

We have four functions we have to find which one of them are not written in explicit form:

Explicit form is the form in which we can finc the value of n.

Option 1 is correct

y=x because

we can calculate y and x by substituting different values.

Option 2 is incorrect because we can not calculate y from the given equation

$x^2-6xy-9y^2=0$

Option 3 is incorrect because y=0 we can not find anything.

Option 4 is correct because we can find values of y by substituting different values of x in the given equation that is $y=-\sqrt{(1-x^2)$ .

Which value of n makes the following equation true? 4 1/2 x 2 2/3=(4 1/2 x n) + (4 1/2 x 2/3)

Answers

N equals zero is a possible answer

Answer:78

Step-by-step explanation:

An architect has a floor plan for a house is designing. The length of a room of the house on the floor plan is 10 inches. If the scale of the floor plan is 1/3 inch = 0.5 ft, what is actual length of the room?A) 5 ft
B) 6.7 ft
C) 10 ft
D) 15 ft

Answers

If 1/3 inch represents 0.5 ft, then 10 inches will represent (10 * 0.5)/(1/3) = 3 * 5 = 15ft

Final answer:

The actual length of the room is 15 ft.

Explanation:

To find the actual length of the room, we need to use the scale provided. The scale is 1/3 inch = 0.5 ft. We know that the length of the room on the floor plan is 10 inches. We can set up a proportion to solve for the actual length:

1/3 inch / 0.5 ft = 10 inches / x ft

Cross multiplying, we get:

1/3 * x = 0.5 * 10

Simplifying, we get:

x = 0.5 * 10 * 3

x = 15 ft

Therefore, the actual length of the room is 15 ft, which corresponds to the given length of 10 inches on the floor plan.

Learn more about Length here:

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Two towns are 1,100 miles apart. A group of hikers Starts from each town and walks down the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels 2 1/2 mile per hour slower than the other group, find the rate of each group.

Answers

Answer:

3.54 and 1.04

Step-by-step explanation:

Given:

Two towns are 1,100 miles apart.

A group of hikers Starts from each town and walks down the trail toward each other..

They meet after a total hiking time of 240 hours.

If one group travels 2 1/2 mile per hour slower than the other group.

Question asked:

Find the rate of each group.

Solution:

Let speed of faster hiker = $x\ mph$

Speed of slower hiker = $x-(5)/(2)\ mph$

As we know:

$Distance=speed* time$

Total distance between two town = Total combined speed of both hikers $*$ Total combined time taken

$1100=(x+x-(5)/(2) )*240\n \n Dividing\ both\ sides\ by\ 240\n \n 4.58=(x+x-(5)/(2) )\n \n 4.58=2x-(5)/(2) \n \nAdding\ both\ sides\ by\ (5)/(2) \n \n 4.58+ (5)/(2)=2x- (5)/(2)+ (5)/(2)\n \n (2*4.58+5)/(2) =2x\n \n (14.16)/(2) =2x\n \n By \ cross\ multiplication\n \n 2*2x=14.16\n \n 4x=14.16$

$By\ dividing\ both\ sides\ by \ 4\n \n x=3.54\ miles\ per\ hour$

Speed of faster hiker = $x\ mph$ = 3.54 miles per hour.

Speed of slower hiker = $x-(5)/(2)\ mph$ =

$3.54-(5)/(2) =3.54-2.5=1.04\ miles\ per\ hour$

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.

Can anyone help me i appreciate!!!!

Answers

Answer:

simplify :

(2+3)² - 16/2 =

5² - 8=

25-8 = 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2^2 + 2*2*3 + 3^2) - 16 / 2

25 - 16 / 2

boDmas

first divide 16 by 2 which gives 8

now subtract 8 from 25

answer = 17

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it?

Answers

The probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it is approximately 0.15808.

To determine the probability of exactly 2 voters favoring the proposed regulation and 4 opposing it in a random sample of 6 respondents, we need to use the concept of combinations and probability.

In the given survey, out of 25 voters, 17 favor the regulation and 8 oppose it. We want to select exactly 2 from the 17 favorable voters and exactly 4 from the 8 opposing voters.

To denote the probability of a voter favoring the regulation as p (probability of success) and the probability of a voter opposing the regulation as q (probability of failure).

We can calculate these probabilities as:

p = (number of favorable voters) / (total number of voters)

p = 17 / 25

q = (number of opposing voters) / (total number of voters)

q = 8 / 25

Now, the probability of selecting exactly k successes in n trials, known as the binomial probability:

$P(X = k) = (nC_k) (p^k) (q^(n-k))$