Answers
Answer:
Step-by-step explanation:
Mark the two points (-1,7) and (1,-1) on the graph. Then draw a straight line between them. To determine the equation that goes through these two points, we can use the two given points to find the slope of the line. The standard form of a straight line equation is
y = mx + b,
where m is the slope and y is the y-intercept (the value of y when x = 0).
Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x. We can use the two points to calculate this:
Rise (-1-(7) = -8 Run = (1 - (-1) = 2
The slope is therefore (-8/2) or -4.
y = -4x + b
We can find b by entering either of the two points in y = -4x + b and solve for b. I'll use (1,-1) since I have my 1's multiplication table memorized
y = -4x + b
-1 = -4(1) + b
b = 3
The straight line equation that connects the two points is
y = -4x + 3
You can graph this equation (e.g., on DESMOS) to see how it intersects the points. [Attached]
The coordinates of the y intercept are (0,3).
The coordinate of the y-intercept of the line is (0, 3)
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b.
where:
m is the slope the lineb is the y-interceptGiven the coordinate points (-1, 7) and (1, -1).
Get the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]
Get the y-intercept:
Recall that y = mx + b
Using the coordinate point (1, -1) and m = -4
-1 = -4(1) + b
-1 = -4 + b
b = -1 + 4
b = 3
The equation of the line is y = -4x + 3
Get the y-intercept:The y-intercept occurs at the point where x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
Hence the coordinate of the y-intercept of the line is (0, 3)
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Related Questions
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answers
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
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How many 7-letter passwords can you make from the letters A, B, C, D, E, F and G, if letters CANNOT be repeated?
Answers
Y=x-6 y=-x-+4
Substitute please.
Answers
Answer:
( 5 , − 1 )
Step-by-step explanation:
Someone, please help me with this MATH question.
Answers
Answer:
A
Step-by-step explanation:
Given the function [tex]f(x)=x^2-2x-5[/tex] , determine the average rate of change of the function over the interval [tex]-5\leq x\leq 6[/tex]
PLEASE HELP ASAPP
Answers
Answer:
- 1
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 5, 6 ] , then
f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19
f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30
Then
average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1
15 points!
A rock is dropped into a pond. What is the spread of the circular ripple after 25 seconds if the ripple travels outward at a speed of 20cm/sec?
Answers
Answer:
Since we are assuming a constant velocity, we know that v = d/t which means we can rearrange this formula to solve for distance:
d = v * t
d = (20 cm/sec) * (25 sec) = 500 cm
Step-by-step explanation:
BRAINLIEST?7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether
Answers
Answer:
1610
Step-by-step explanation:
230 is 1/8 percent, multiply it by 7, get 1610
€1 = £0.85. Change €345 into £.
Answers
£293.25
Step-by-step explanation:If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.
any help plz ??? thx in advance you'll get brainliest
Answers
Answer:
For (a)
Well let “x” be amount of sales
And let ”y” be total pay
so 1200 is the base pay/ weekly
And a 5 percent commission on amount of sales
5 percent can be written as 0.05
Now we can make an equation
1200+0.05x = Y
So that would be your equation
Now for (b)
If she sold 10,000 that week as commission we can just plug it into our equation
1200+0.05(10,000)=y
Now solve
5 percent of 10,000 is 500 dollars.
Now 1200+500=1700
(b) is 1700 earned that week
Now for (c)
We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.
So same equation
1200+0.05x=3000
x=36,000 have to be solve in order to make 3,000 income Per week.
you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price
Answers
g = 64.99 - 4.98
Step-by-step explanation:
If g is the original price then if you subtract the difference between the original price and the current price.
a point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2)=25 is?
Answers
The point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
(x-h)^2 + (y-k)^2 = r^2
The given equation is
(x+10)^(2)+(y+1)^(2)=25
Where,
h = - 10
k = -1
r = 5
If x = -6 and y = 2
then the given equation of circle is stidfy the given points.
Hence, the point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).
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Find x
pls help this is due tmr
Answers
Answer:
x = 60 degrees
Step-by-step explanation:
AOD is 360-240 which is 120 degrees
AOB is 120-90, so 30.
Since AOC is 90 degrees, BOC is 90-AOB, so 90-30, 60 degrees
x= 60 degrees
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Answers
Answer:
51.2578125
Step-by-step explanation:
3 * (3/2)^(8 - 1)
3 *(3/2)^7
51.2578125
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answers
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
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|21x-5|=37
x=?
i'm too lazy to solve it myself help
Answers
Answer:
21x+1=37
21x+1-1=37-1
21x=36
x=36/21
x=9/7
Answer:
X1=2 X2=-32/21
Step-by-step explanation:
21x-5=37
21x-5=-37
21x=37+5
21x=42
x=2
21x=-37+5
21x=-32
x=-32/21
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
Answers
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
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Josephine was charged $7.20 for a long distance call that lasted 1.5 hours. What was the cost per hour for her long distance call?
Answers
Based on the information given, the cost per hour for her long-distance call will be $4.80.
Amount that was charged for the call = $7.20
Number of hours used = 1.5 hours
The cost per hour for her long-distance call will be:
= Amount that was charged for the call / Number of hours used
= 7.20 / 1.5
= $4.80
In conclusion, the cost is $4.80.
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In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Cait chooses her 7 tiles and is surprised to discover that all of them are vowels. Can we use a binomial distribution to approximate this probability?
Answers
Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.
The tiles are chosen without replacement, hence, the hypergeometric distribution is used.
The population is composed by the 100 tiles.The sample is composed by 7 tiles.The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.
[tex]\frac{100}{7} = 14.28 < 20[/tex]
Hence, the binomial distribution cannot be used.
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Line segment XZ is congruent to line segment XZ because of the:
Answers
Answer:
They are both the same line
Step-by-step explanation:
Anybody know the answer?????
Answers
A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?
Answers
Answer:
364
Step-by-step explanation:
156/3 = 52 boxes/hour
52 boxes x 7 hours = 364
Aaron earned $57.35 selling some of his old video games. He bought another video game for $46.29. How much money, x, does Aaron have left?
Answers
Answer:
Aaron has $11.06 left over
Do these pairs of values (x 3,4,6,9,and y 5,7,10,15) represent two quantities that are propertional? A. No, becuase not all of the pairs represent the same ratio. B.....
Answers
Answer: No.
Step-by-step explanation:
The (4,7) point has a ratio of 0.5714, different than all the others at 0.6.
3 5 0.6
4 7 0.571428571
6 10 0.6
9 15 0.6
Express as simply as possible with a rational denominator
1/2√3
Answers
Rationalise the denominator of 1/2√3
Detailed answer is in the image attached.
Hope it helps you....
Please mark as Brainlliest!!!
Help? Find the exact value.
Answers
16 + ((15 + 5) + 32)
Answers
Answer:
68
Step-by-step explanation:
16 + ((15 + 5) + 32)
= 16 + (20+32)
= 16 + 52
= 68
* Use BODMAS to solve the sum
Write the number 0.000 000 7 in standard form.
Answers
I would like to know if somebody could help me on this math problem.
Answers
Answer:
$288
Step-by-step explanation:
.04 * 7,200= 288
Commission multiplied by Stocks sold= Answer
Hope this helps :)
You want to buy a new macbook. Apple will finance the macbook with no money down and no interest if paid in full within 2 years. The minimum monthly payment is $35 per month. If the macbook costs $1,799 and you only make the minimum payment, how much will you have to pay at the end to avoid paying interest?
Answers
Answer:
31482.5
Step-by-step explanation:
multipliy 1,799 by 35= 62965 the divide by 2.
need help with both questions please
Answers
Answer:
vertical angle are congruent
because BD and CE intersect and intersecting lines make vertical angle
Step-by-step explanation: