Answer:
The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]
→ Simplify it by dividing up and down by 2
∴ m = [tex]\frac{4}{3}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{4}{3}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 2
∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Modeling Task 1
A cell phone company charges a monthly rate of $14 and $0.25 a minute per call.
Judy's total cell phone bill is $50. How many minutes, m, was Judy charged for?
Make sure to define your variable, write an equation, solve the equation, and
write a sentence.
Answer:
144 minutes
Step-by-step explanation:
The equation will be 14 + 0.25x = 50
50 - 14 = 36
0.25x = 36
36/0.25 = 144 minutes
What is the perimeter of the trapezoid? Round to the nearest hundredth.
If f(x) = 3x + 2, then find the value of x such that f(x) = -4.
Answer:
See Below
Step-by-step explanation:
Solve by substituting
-4 = 3x + 2
-2 -2
-6 = 3x
3x/3 = -6/3
x = -2
Answer:
x = -2
Step-by-step explanation:
So we are given the function f(x) = 3x + 2 and we are asked to find the value of x that makes f(x) = -4. To do this, we can replace f(x) with -4 in the given function and solve for x.
-4 = 3x + 2
Swap sides.
3x + 2 = -4
Subtract 2 from both sides.
3x = -6
Divide both sides by 3.
x = -2
So we have found that x = -2 when f(x) = -4. This means that when x = -2, f(x) = -4.
I hope you find my answer and explanation to be helpful. Happy studying.
p−1=5p+3p−8
Anyone help. Its due at 11:59 pm :( please help
Answer:
p = 1
Step-by-step explanation:
p - 1 = 5p + 3p - 8(collect like terms)
p - 1 = 8p - 8(add 1 on each side)
p = 8p - 7(subtract 8p on each side)
-7p = -7 (divide by -7)
p = 1
whats the slope intercept form of y=3x-2
What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=
Answer:
Step-by-step explanation:
-4
In which situation do the quantities combine to make 0?
A-Juan spent $20. The next day, he earned $10 per hour for 2 1/2 hours
of babysitting
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
C-The predicted high temperature for a winter day is 7°C and the predicted low temperature is -7°C.
D- A deep-sea diver descends 15 meters, pauses, and then descends another
15 meters.
Answer:
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
Step-by-step explanation:
Gina's family goes to a theme park. The family pays a $12 fee to park their car and buys admission tickets for all 5 family members. Her family pays a total of $132 . Which equation can be used to solve for t , the price of one admission ticket?
A.
5(12+t)=132
B.
5t+12=132
C.
5(12)+t=132
D.
5+12+t=132
Answer:
B
Step-by-step explanation:
5t + 12 = 132
We know the price of parking and we know what they paid in total. There are 5 members with the unknown price.
Answer:
B
Step-by-step explanation:
You're trying to find how much a ticket, which is t. you need 5 tickets for the family, plus the twelve dollar fee which is there anyways for the car, and it add up to 132. subtract 12 from 132 and you get 120. 120 divided by 5 is 24. so 24 dollars for a ticket, but the equation you would need is 5t+12=132
What is the slope of the line?
Help pleaseI don’t understand
Answer:
Angle 3 is 65
Angle 8 is 115
Step-by-step explanation:
The amount of money an employee earns is proportional to the number of hours worked. If the employee works 40 hours and earns $1,100, how much does the employee earn per hour?
Answer: $27.5
Step-by-step explanation:
From the question, we are informed that employee works 40 hours and earns $1,100, to calculate the amount that the employee earn per hour will be:
Amount earned = $1100
Number of hours worked = 40 hours
Amount earned per hour = $1100/40 = $27.5
Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8
If angle J and angle K are vertical angles, J and K are congruent.
Answer:
Yes they are congruent
Step-by-step explanation:
Hope this helps!!!!!!!
if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made?
Answer:
1:6
Step-by-step explanation:
8:48 the ratio
48/8 = 6 First you divide in this case both sides can be divided by 8, giving the answer in the most simplest form.
Josh swam 25 laps in 50 minutes. At that rate, how long will it take to swim 35 laps?
Answer:
70 Minutes
Step-by-step explanation:
Divide 25 into 50 to get 2 and then multiply 2 x 35 to get 70
what are the images of F and H
what? there are no images, i have no idea what you are saying
whats the rate of change?
Gavin doubles it then adds 15 to get the answer 44.2 what was the original number
Answer:
14.6
Step-by-step explanation:
44.2 - 15 = 29.2
29.2 / 2 = 14.6
Answer:
14.6
Step-by-step explanation:
If you take 44.2 and subtract 15, you get 29.2. You would then just divide 29.2 by 2 to get the original number. You're literally doing the equation backward.
passes through (-6,-1) and is parallel to y=-2/3x+1
39.99+0.45x=44.99+0.4x
Answer:
x=100
Step-by-step explanation:
39.99+0.45x=44.99+0.4x
0.45x=5+0.4x
0.05x=5
x=100
A yellowfin tuna weighs about 380 pounds. A bluefin tuna weighs 620 about pounds. If one fish of each species were caught per day, about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a week? Solve the problem two different ways.
Answer:
1680 pounds
Step-by-step explanation:
Given that :
Weight of yellow fin tuna = 380 pounds
Weight of bluefin tuna = 620 pounds
If one fish of each species were caught per day
about how many more pounds of bluefin tuna than yellowfin tuna would be caught in a week?
Total pound of bluefin tuna caught in a week:
7 * 620 = 4340
Total pound of yellow tuna caught in a week:
7 * 380 = 2660
(4340 - 2660) = 1680 pounds
What is the value of (-5)^4?
Answer:
-20
Step-by-step explanation:
Answer:
-625
Step-by-step explanation:
-5× -5 = 25
25 × 25= 625
Ten is no less then a number q multiplied by 6.
Answer:
10 > 6q
Step-by-step explanation:
Assuming you are asking what this word problem looks like as an equation, then it would be:
10 > 6q
which of the lines below is parallel to y = 5x + 7 ?
Any line with a slope of 5 is parallel, because parallel lines have the same slope.
Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.
Total cost represented by equation, [tex]C=200x+400[/tex]
Let number of phones is represented by x .
Since, She pays a cost of $200 per phone produced for materials and labor
For x phones, she will pay = 200x
Since, she also pays daily fixed cost of $400 to rent the building and equipment
Therefore, total cost is represented by equation shown below,
[tex]C=200x+400[/tex]
Learn more:
https://brainly.com/question/20335698
Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.
Answer:
30+2.50m=t
Step-by-step explanation:
where m represents the amount of miles driven and t represents the total of money owed
can i get brainliest please?
Answer:
joker is not see the following questions and the answers will come up on your site
Determine the y-intercept of the
equation below. Write your answer as
an ordered pair.
5x + 8y = 40
If the ratio of boys to girls in Mr. Mata’s class is exactly 2 to 3, then the class could have:
Answer:
Please your question isn't complete.
Answer:
20 boys and 30 girls
Step-by-step explanation:
Hope this helps!!!
Name 1 and 2 another name
Answer:
triangle, square, circle, pentagon, and horcux.
jk whats the question
Step-by-step explanation:
Hey there!
Answer:
One, two, three, delta, pi, hexagon, octagon, pentagram....
Step-by-step explanation:
Name another name of what??
Your question doesn't make a lot of sense but I thought that maybe I could share a few really cool shape and number names that maybe you didn't know!
Hope you enjoy!
:D
what is the price of 29.99 after a 33 1/3 markdown?
Answer:
$29.99*0.6667%= $19.99= markdown price
Step-by-step explanation:
Mkae me the brainlist plssss
Answer:
$29.99*0.6667%= $19.99= markdown price
Step-by-step explanation: