Indicate, in standard form, the equation or inequality that is shown by the graph. (0,4)(4,0)
Answers
slope = (0 - 4) / (4 - 0) = -4/4 = -1
y = mx + b
slope(m) = -1
use either of ur points....(0,4)...x = 0 and y = 4
sub and find b, the y int
4 = -1(0) + b
4 = b
equation is : y = -x + 4....in standard form, it is : x + y = 4
Answer:
standard form y = -x + b.
Step-by-step explanation:
Given : Graph and points (0,4)(4,0).
To find : Standard form of equation .
Solution : We have given that points (0,4)(4,0).
Let [tex]x_{1}[/tex] = 0 , [tex]x_{2}[/tex] = 4
[tex]y_{1}[/tex] =4 , [tex]y_{2}[/tex] = 0.
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Plugging values
Slope = [tex]\frac{0 - 4}{4 - 0}[/tex].
Slope = -1 .
Standard form y = m x + b
y = -1 x + b.
Plug (0,4)
4 = -1 ( 0)+ b
4 = b .
Now , plugging values b= 4 , m = -1.
y = -x + b.
Therefore, standard form y = -x + b.
Related Questions
Write 18/13 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 4.25
Answers
18/13 = 1.38
The answer is 1.38
Hope this helps! :)
A fraction is a way to describe a part of a whole. The given fraction 18/13 in the form of a decimal will be equal to 1.38.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The given fraction 18/13 in the form of a decimal can be written as,
18/13
= 1 5/13 (In the form of a mixed fraction)
= 1 + 0.384615
= 1.384615 ≈ 1.38 (In the form of a Decimal)
Hence, The given fraction 18/13 in the form of a decimal will be equal to 1.38.
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Create a scenario that leads to an inequality of the form ax + b > c.
Answers
Answer:
Ben needs more than 200 points to unlock the next level in the game
He already has 45 points
For every win, he receives 5 points
No. of wins required: x
5x + 45 > 200
Please I have no clue
Answers
In a public opinion poll,624 people from a sample of 1,100 indicated they would vote for a specific candidate.how many votes can the candidate expect to receive from a population of 40,000
Answers
-0.09 as a fraction , but the 09 is repeating
Answers
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Answers
You can either factor it or use the quadratic formula.
Factored:
y = x^2 + 2x - 15
(x + 5)(x - 3)
x = -5, 3
Quadratic Formula:
-b +/- √(b^2 - 4ac) / 2a
-2 +/- √(2^2 - 4(-15) / 2
-2 +/- √(4 + 60) / 2
-2 +/- √64 / 2
-2 +/- 8 / 2
-2 + 8 / 2
6/2
3
-2 - 8 / 2
-10/2
-5
x = -5, 3
Using both of these methods, you would get the x-intercepts 3 and -5.
Right x intercept ( 3,0)
A 1:35 scale model of a fishing hut is 17 cm tall, 18 cm wide, and 19.7 cm long. What are the dimensions of the actual ice fishing hut?
Answers
17*35 = 595 cm
18*35 = 630 cm
19.7 * 35 = 689.5 cm
in meters the dimensions are L = 6.895 m, W = 6.3 m and H = 5.95 m
To determine the actual size of an ice fishing hut from a 1:35 scale model, multiply each model dimension by 35, resulting in a real hut approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.
The dimensions of the actual ice fishing hut, based on the 1:35 scale model, can be found by multiplying each dimension of the model by 35. To find the height, multiply 17 cm by 35, which gives 595 cm or 5.95 meters. To find the width, multiply 18 cm by 35, which gives 630 cm or 6.3 meters. Finally, to find the length, multiply 19.7 cm by 35, resulting in 689.5 cm or 6.895 meters. Therefore, the actual dimensions of the ice fishing hut are approximately 5.95 meters tall, 6.3 meters wide, and 6.895 meters long.
What value does 4 represents in the number 487.009 ?
Answers
3rd place to the left of the decimal point is the hundreds place
so the number 4 represents 4 hundred
Which of these is mostly likely to describe the change received from a cash purchase?
A.Whole Number
B.Negative Integer
C.Rational Number
D.Irrational Number
Answers
the football team offense began a drive from their 20 yard line. They gained 8 yards, lost 12 yards and lost 2 yards before having to kick the ball. What yard line were they on when they had to kick the ball
Answers
20+8-12-2=14
hope this helped!! xx
expression:
20+8=28
28-12=16
16-2=14
OR
20+8-12-2=14
SRRY IF HAS MISTAKE!!!
DID NOT COPY!!!!
im telling the truth!!!
solve for w.
7w=11.2
Answers
To solve for w, all you have to do is divide both sides of the equation by 7. This will get rid of the coefficient on the variable, w, allowing you find out what it equals. 11.2/7 = 1.6, and 7w/7 = w, so w = 1.6.
the cost per month of one cell phone plan is $30 plus and additional nickel for each text. write an equation that defines the total monthly cost,c, as a function of the number of taxts,t
Answers
Silvia e Rebecca acquistano on line 10 cubi di polistirolo da rivestire di stoffa.Le dimensioni di ogni cubo riportate nel sito sono 150x150x150mm.
Possono essere sufficenti 2m^2 di stoffa?
Si perché?
No perché?
Answers
We need to find the area of full surface of cube. The formula is 6 * A^2.
150mm=15sm=0,15m.
0.15^2=0.0225 m^2 of fabric for one side.
Cube have 6 sides.
6*0.0225=0.135 m^2 of fabric for one cube.
And we need to cover 10 cubes, so we must to multiply 0.135 by 10.
10*0.135=1.35 m^2.
Answer: it's enough of 2 m^2
if x=2 , y=3 , and z=4 , what Is xyz?
Answers
2*3*4
6*4
24
Final answer: 24
1) Lee y plantea una ecuación que sea útil para resolver cada ecuación.
a. El perímetro de un jardín rectangular es de 58 m. Si el lado mayor mide 11 m mas que el lado menor.¿Cuanto mide los lados del jardín?
Answers
Pido perdón para mí español, pero creo que este es la ecuación.
What is the product of 4xy and y2 + 2x?
4xy + 4xy 3
8x 2y + 4xy2
8x 2 + 4xy 3
8x 2y + 4xy3
Answers
[tex]\text{Used:}\\\\a^n\cdot a^m=a^{n+m}\\\\a\cdot b=b\cdot a[/tex]
Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim worked for y weeks. Which expression shows the total money, in dollars, that Sue and Kim earned for delivering magazines? 64x + 52y 52x − 12 + 52y 52x + 64y 52x + 12 + 52y
Answers
The plant where you work has a cylindrical oil tank that is 2.5 feet across on the inside and 10 feet high. The depth of the oil in the tank is 2 feet. About how many gallons of oil ate in the tank
Answers
Answer:
There are 73.38 gallons in the tank.
Step-by-step explanation:
The diameter of the tank is = 2.5 feet
So, the radius is = [tex]2.5/2=1.25[/tex] feet
The depth of the tank = 2 feet
The volume of the cylinder is = [tex]\pi r^{2} h[/tex]
V=[tex]3.14\times(1.25)^{2} (2)[/tex]
= 9.81 cubic feet
Now, 1 cubic feet = 7.48 gallons
So, 9.81 cubic feet = [tex]7.48\times9.81=73.38[/tex] gallons
So, there are 73.38 gallons in the tank.
The coordinates of three vertices of rectangle are A(1,-5),B(1,3),and C(10,3). Find the coordinates of the fourth vertex. Then, find the area of the rectangle.
Answers
What is 6x+34=8x+14?
Answers
-6x -6x
34 = 2x + 14
-14 - 14
20 = 2x
/2 /2
10 = x
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received 5 fewer cookies than she would have received had all of the cookies been evenly divided among the h grandchildren.
How many cookies did Cindy receive?
Write your answer as an expression.
Answers
So Cindy received (96/h) - 5 cookies
even number= 96/n, Cindy gets 96/n-5, the rest receive the rest of the cookies:
96 - (96/n-5) = 96*(1-1/n) + 5 = 96*(n-1)/n + 5.
Then each of them (n-1) receive the previous number divided by (n-1) -Cindy is not there:
each of the other grandchildren receives:
96/n + 5/(n-1), and Cindy receives 96/n-5, it just needs to be positive.
So any number 'n' which divides 96 and 'n-1' divides 5 works.
Indeed ONLY n=6, makes 5/(6-1) possible.
So there are 6 grandchildren:
5 receive 17 cookies, and Cindy gets 11.
If it were evenly distributed, all would have got 96/6 = 16 cookies.
Now 5 get one more cookie, and Cindy 5 less.
WOW. Very nice problem!! Gonna share it :)
make a word problem with the problem of 30 + 2d ex the outcome of 1,000 divided by x
Answers
every day that he visits the store, he gets 2 free candies
if d represents the number of days he goes to the store, how many candies does he have after d days?
30+2d
HELP QUICK !!!!!! Give an example of an absolute value problem with no solution
Answers
Examples in real life and physics provide contexts for understanding situations where a direct solution is not possible or applicable.
An absolute value problem with no solution is one where the absolute value expression is set to a negative number. Since the absolute value of any number represents its distance from zero on a number line, it can never be negative. Consequently, an equation like |x| = -3 has no solution because there is no real number x that, when taken as an absolute value, results in a negative number.
Real-world Example...
In everyday life, think of a scenario such as locking oneself out of an encrypted system without any means of retrieval. The problem can't be solved directly (as there is no way to bypass encryption), but one might approach the matter sideways by resetting the system entirely, which doesn't address the original issue of being locked out.
Physics Context
In physics, an example of a situation where there is a force and a displacement but no work is done is when the force is applied perpendicular to the direction of the displacement. Since work is defined as the dot product of force and displacement, when the angle between them is 90 degrees, this product and thus work is zero.
Write the ordered pair that describes a point 12 units down from and 7 units to the right of the origin.
Answers
The profit that a company earns each month depend on the amount of product sold, p, for $855 each and the amount of money spent on rent, utilities, and other expenses, which always totals to $6,780. The CEO earns 15% of the profit. How much does the Ceo earn if the company sells 250 products in a given month?
Answers
that would be (250×$855)-$6780
=$213750-$6780
=$206970
the CEO amount would be 15% of $206970
=$31045.5
Which of the following expressions represents the value, in dollars, of a certain number of nickels, n, and dimes, d?
Answers
value = v
v = 0.05n + 0.10d
Answer: v = 0.05n + 0.10d
Step-by-step explanation:
et x be a random variable representing movement (in feet per year) of such sand dunes (measured from the crest of the dune). Let us assume that x has a normal distribution with μ = 11 feet per year and σ = 2 feet per year. Under the influence of prevailing wind patterns, what is the probability of each of the following? (Round your answers to four decimal places.) (a) an escape dune will move a total distance of more than 90 feet in 7 years
Answers
Given the following which is the mean and standard deviation of the dune’s movement over one year and need to find out what the ten year mean and the standard deviation will be.
The ten-year mean is ten times the one year mean or 110 feet per decade. The ten-year standard deviation is somewhat more complicated. Multiple independent trials accumulate standard deviation as the square root of the number of trials since an unusually high level of movement ten years in a row. The decade is going to be 2 feet per year x square root of ten will result to 6.32 feet.
The answer will to question A. will be:
90 < 110 + z (6.32 feet)
-20 < z (6.32 feet)
z > - 3.16
By using the z table, it shows the probability of 0.9992. This result shows that as 90 feet is lesser than the mean travel that is expected over decade.
To find the probability that a sand dune moves more than 90 feet in 7 years, one must calculate a z-score using the mean annual movement, standard deviation, and the 7-year period, then find the corresponding probability in a standard normal distribution table or calculator.
Explanation:The question involves calculating the probability that a random variable, X, will exceed a certain value over a period using the normal distribution. The random variable X in this context represents the movement of sand dunes per year, which is assumed to be normally distributed with mean (μ) of 11 feet per year and a standard deviation (σ) of 2 feet per year.
To find the probability of the dune moving more than 90 feet in 7 years, we first calculate the mean movement for 7 years, which is 7 × μ = 7 × 11 feet = 77 feet. Next, we calculate how much more than 77 feet does 90 feet represent. This difference is 90 - 77 = 13 feet. Then, we standardize this difference by dividing by the standard deviation over the square root of 7 years to get the z-score:
Z = (90 - 7×11) / (σ × √7) = (90 - 77) / (2 × √7) = 13 / (2 × √7)
The z-score helps us find the probability that X is more than the calculated mean for 7 years. We look up this z-score in the standard normal distribution table or use a calculator to find the probability that corresponds to this z-score. This gives us the probability that a dune will move more than 90 feet in 7 years. The answer should be rounded to four decimal places as per the instruction in the question.
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4 tulips to 6 daffodils in ratio
Answers
The ratio of 4 tulips to 6 daffodils will be 2:3.
What is a ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
The ratio of 4 tulips to 6 daffodils will be calculated as below:-
Ratio = 4 tulips : 6 daffodils = 2 tulips : 3 daffodils
Therefore, the ratio of 4 tulips to 6 daffodils will be 2:3.
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NEED HELP FAST!!!
2.
Two lines, C and D, are represented by the equations given below:
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why? (5 points)
(5, 17), because one of the lines passes through this point
(5, 17), because the point lies between the two axes
(4, 14), because the point does not lie on any axis
(4, 14), because both lines pass through this point
Answers
[tex]x+10 = 3x+2 \\ x+8=3x \\ 8=2x \\ x=4\\[/tex]
To find the value of y, just plug x back into one of the equations:
[tex]y=4+10 \\ y=14[/tex]
The answer to the system is (4,14), but there are two choices corresponding to that. Because this system has a solution that satisfies both x and y, they intersect at a certain point (4,14)
Your answer is (4, 14), because both lines pass through this point
Answer:
answer D
Step-by-step explanation:
A watering can dispenses water at a rate of 0.15 gallon per minute. The original volume of water in the can was 5 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water?
Answers
The initial volume of water in the can at time = 0 is 5 gallons
The function will be a linear function in the form of [tex]y=ax+b[/tex] where
[tex]y[/tex] is the volume of water in the can after [tex]x[/tex] minutes
[tex]a[/tex] is the changing rate
[tex]b[/tex] is the initial volume when time is 0
Substitute all the values into the form we have
[tex]y=0.15x+5[/tex]
Answer:
The changing rate of the amount of water in the watering can is a constant rate of 0.15 gallon per minute.
The initial volume of water in the can at time = 0 is 5 gallons
The function will be a linear function in the form of where
is the volume of water in the can after minutes
is the changing rate
is the initial volume when time is 0
Substitute all the values into the form we have
Step-by-step explanation:
y=0.15x +5