Answers
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
Related Questions
Please help me with this.
Answers
Answer:
y = (-1/2)x + 4
Step-by-step explanation:
Slope (m): (-1/2)
down one, right two
y-intercept (b): 4
y = mx + b
The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]
To find the slope, you must put the 2 points into the slope equation.
[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]
And to find the y-intercept, you must find where the line crosses the y-axis.
(0,4)
HELP ASAPPPPP PLEASE
Answers
Answer:
13. -200, balance on car loans
14. 8, monthly payments
15. linear eqn, y=ax+b
16.values of y will decrease.(although i think the graph will remain linear)
17. as the monthly payment decrease so does the balance on car loan decrease.
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answers
Answer:
576.97
Squared
Joyce paid $31.50 for an item at the store that was 55 percent off the original price. What was the original price?
Give your answer to the nearest cent.
Answers
The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the original price of the item. Then, we can write the equation:
x - 0.55x = 31.50
from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price
Simplifying the given equation, we get:
0.45x = 31.50
Dividing both sides by 0.45, we get:
x = 70
Therefore, the original price of the item was $70.
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
What is the quotient of -32/8?
Answers
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
Can someone help please ??
Answers
Answer:
a)1 , 5 , 9 , 13 , 17, 21 , 25
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.
Answers
Answer:
yes
Step-by-step explanation:
There are 90 people in a group.
A sixth of the people in the group are men.
The number of women in the group is 2 times the number of men in the group
The rest of the people in the group are children.
the number of children in the group : the number of men in the group = n: 1
Work out the value of n.
You must show how you get your answer.
Answers
Answer:
n=3
Step-by-step explanation:
90×1/6=15 men
15*2=30 women
90-15-30=45 children
45 children: 15 men
3:1 ratio of children to men
n=3
a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement
Answers
Answer:
TrueStep-by-step explanation:
Given the expression
y = 19.75x
let us see the solution from this angle
we know that
speed=distance/time
distance=speed*time
i.e quantity=rate*time
y = 19.75x
y=the quantity =number of gallons
19.5= the rate of flow
therefore
x= the time in minutes
Find the y-intercept of the equation y = -0.5x - 3
Answers
Answer: -3
Step-by-step explanation: When you graph this that’s what you get
Answer:
-3
Step-by-step explanation:
the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:
y = -0.5x0 -3
Now you can ignore that first part of the equation because it equates to 0, and so you get:
y= 0 - 3
which equals:
y=-3
what is the constant of proportionality of p=5a
Answers
Answer:
=5x
Step-by-step explanation:
your question might have a different variable witch is the letter at the end
what is 1/2- 1 and 1/5
Answers
Answer:
-0.7 is the answer to your question
Answer:
Answer:
-0.7 is the answer to your question
Step-by-step explanation:
What is an equation of the line that passes through the points (-2,-5) and (4,7)
Answers
Answer:
y=2x-1
Step-by-step explanation:
the other person is wrong
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answers
Answer:
40,000 songs, I think
Step-by-step explanation:
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answers
Answer:
83 points.
Step-by-step explanation:
Which relation is a function?
Answers
Answer: B
Step-by-step explanation:
If b = 3, then b ^-2 is equivalent to ... please help fast lol I’m in a test
Answers
Answer:1/9
Step-by-step explanation:
What is the value of the expression 5(X+3) when X=-3?
Answers
Answer:
0
Step-by-step explanation:
5(x+3) replace x with -3
5(-3+3)
5(0)
0
What expression is equivalent to: 100
Answers
Answer:
10 x 10, 2 x 50
Step-by-step explanation:
-c + 5d + 7c - 11d + d - 3c
Answers
Answer:
3c-5d
Step-by-step explanation:
Some helppppp!!!!! I’m having trouble
Answers
1.4*40=56cm, DVD’s he has
1.4*3=4.2cm
56+4.2=60.2cm, whoops too much. So instead 1.4*2= 2.8cm, 56+2.8=58.8cm Is Your Answer.
3xsquared +13x-10
HELPP PLEASE
Answers
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
Passes through (-2, 6) with a slope of -1/4.
Answers
or
1/4(x+26) decimal form 0.25(x+26)
x+7<13.
^^^^^ answer please & show work .
Answers
Step-by-step explanation:
Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian's first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Answers
Answer:
21.9 feet
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Given parameters
Altimeter of vivian at its lowest point = -9.6 feet
Altimeter of vivian at the top of the wheel = 12.3feet
Note that the sea level is at 0 feet.
change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:
= (12.3-0)+(0-(-9.6))
= 12.3+(0+9.6)
= 12.3+9.6
= 21.9 feet
From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.
The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.
Answer:Hide Sample Answer
The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.
Step-by-step explanation:Hide Sample Answer
The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.
On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.
A 0.3 second
B 0.6 second
C 1.6 seconds
D 3.2 seconds
Answers
Answer:
The correction is D
Step-by-step explanation:
From the question we are told that
The maximum height is [tex]h_m = 18 ft[/tex]
The minimum height is [tex]h_i = 4 ft[/tex]
The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds
Now at maximum height
[tex]18 = - 14 sin(x) + 18[/tex]
=> [tex]-14 sin(x) =0[/tex]
=> [tex]sin(x) =0[/tex]
=> [tex]x =sin^{-1}[0][/tex]
=> [tex]x =0 \ s[/tex]
Now at minimum height
[tex]4 = -14 sin(x) + 18[/tex]
=> [tex]-14 = -14 sin(x)[/tex]
=> [tex]sin (x) = 1[/tex]
=> [tex](x) = sin^{-1}[1][/tex]
=> [tex]x = 1.6 \ s[/tex]
Now this values is the time taken to move from the higher position of the blade to the lower position of the blade
Now it will take this same amount of time to complete the circle
So the total time take is
[tex]x_t = 2 * |x|[/tex]
=> [tex]x_t = 2 * 1.6[/tex]
=> [tex]x_t = 3.2 \ s[/tex]
Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answers
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges [tex]= 10+12t[/tex]
For Tami's Toning,
Total charges [tex]=14t[/tex]
Now solve [tex]10+12t=14t[/tex]
[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]
So, total cost of membership will be the same for both gyms after 5 months.
anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
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Answers
Answer:
Step-by-step explanation:
Coco butter
Jacks boat rental charges a $15 deposit fee $2 for each hour use to rent a paddle boat. Write an equation for C, the total cost,to rent the boat for h hours.
Answers
2h reprents the totals of hours times the 2 dollar hour use.
the 15 is added because its the deposit fee
Write 3.19×10−2 in standard form.
Answers
Answer:
It is already in standard form