Answer:
[tex] \large \boxed{y = 7x + 12}[/tex]
Step-by-step explanation:
Goal
Write the equation of a line in slope-intercept form.Given
Coordinate points which are (0,12) and (-4,-16).Step 1
Find the slope by using slope formula or rise over run which is the changes of y over the changes of x[tex] \large{m = \frac{y_2-y_1}{x_2-x_1}}[/tex]
Substitute the coordinate points in the formula.
[tex]m = \frac{12 - ( - 16)}{0 - ( - 4)} \\ m = \frac{12 + 16}{0 + 4} \\ m = \frac{28}{4} \longrightarrow \frac{7}{1} \\ m = 7[/tex]
Step 2
Rewrite the equation by substituting the slope in slope-intercept form.[tex] \large{y = mx + b}[/tex]
Substitute m = 7.
[tex]y = 7x + b[/tex]
Step 3
Substitute any given coordinate points in the rewritten equation.Substituting any given coordinate points will give the same solution.
Step 3.1
Substitute (0,12) in the equation.[tex]y = 7x + b \\ 12 = 7(0) + b \\ 12 = 0 + b \\ 12 = b[/tex]
Step 3.2
Substitute (-4,-16) in the equation.[tex]y = 7x + b \\ - 16 = 7( - 4) + b \\ - 16 = - 28 + b \\ - 16 + 28 = b \\ 12 = b[/tex]
Step 4
Rewrite the equation again by substituting the value of b.[tex]y = 7x + b[/tex]
Substitute b = 12.
[tex]y = 7x + 12[/tex]
Hence, the solution is y = 7x+12.
Hope this helps! Any questions about my answer can be asked in comments.
~ Vectør ~
I NEED HELP NOW PLEASE! (Science)
A bowling ball is placed on the moon.
Which feature of the bowling ball stays the same?
A. force from gravity
B. weight
C. mass
Answer:
C. mass
Step-by-step explanation:
gravity is different on the moon
and weight is different because of that change in gravity
If the bowling ball is placed on the moon, the feature which will stays same, mass of the ball. So option C is correct
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Given that,
A bowling ball is placed on the moon
So, when ball is placed on moon, it affects the following factors,
Force from gravity - On the Earth and on the Moon the gravitational force will be different.
Weight - On the Earth and On the Moon the gravitational acceleration will be different so weight will be different on both the planets.
Mass- It is the property of the object and it is independent from the planets, it will be same on every planet.
Hence, the Mass is same on both the planets
To know more about Force check:
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Explain which hill is steeper: a hill woth rise of 5 and a run of 3 of a hill with rise of 3 and a run of 5.
How many solutions does this system of equations have?
Answer:
1 solution
Step-by-step explanation:
A system of linear equations has no solution when the graphs are parallel.
2-1: MathXL for School: Practice & Problem Solving
Assignment is past due (02/03/21 11
2.1.PS-8
Question Help
A package of 6
pairs of insulated gloves costs $47.94.What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.
Enter your answer in the answer box and then click Check Answer.
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Answer:
$7.99
Step-by-step explanation:
You take the total price and divide by the number of objects. So $47.94/6= $7.99
The unit price is $7.99 per pair of gloves.
Here,
A package of 6 pairs of insulated gloves costs $47.94.
We have to find the unit price of the pairs of gloves.
What is Divide rule?
To separate into parts or groups are called divide rule.
Now,
A package of 6 pairs of insulated gloves costs $47.94.
Hence,
The unit price of the pairs of gloves = $47.94 ÷ 6 = $7.99
Therefore, The unit price is $7.99 per pair of gloves.
Learn more about the divide visit:
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Mrs. Martinez spent $15.25 buying candy for the 17 students in her G
eometry class. If m & m's cost $0.75 and Snickers
cost $1.00 how many of each did she buy?
1st step identify the variables x-m & m's y=Snickers
2nd Step Write 2 Equations x+y=17 0.75x+1.00y-15.25
3rd Step Solve the System using method of your choice SHOW ALL WORK
Xuy-y-17-y
X-17-y
Substitute 0.75(17-y) +1.00y-15.25
12.75-75y+1.00y=15.25
12.75+.25y-15.25
-12.75 -12.75
.25y-2.5
Divide by 25 y 10
Substitute x+10-17 x 7
4th step Give your answer with labels 7 m&m's 10 Snickers
For your benefit write down which problem it sends you to next.
Failure to show all steps will result in points taken off.
You will need to submit your work by taking a picture. You can submit it as a ips.pdf or a picture file. Please it costs 5% of my grade and put step by step on text or paper
Step-by-step explanation:
If the process is fair, it can be expected to happen about 12.5% of the
time. (0.5)(0.5)(0.5) = 0.125
Step-by-step explanation:
Will give brainleist
Find the missing side.
Answer:
6.4
Step-by-step explanation:
Using Pythagoras Theorem
Where AB^2= AC^2+CB^2
Substitute,
C^2= 5^2+4^2
C2=25+16=41
Square root of √41= 6.4031
What is the area of a half circle with a radius of 40 cm?
Answer:
5027 square centimeters (cm2)
Step-by-step explanation:
Answer:
800π or 2513.3
Step-by-step explanation:
A = πr²/2
A = 1600π/2 or 800π
12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14
Answer:
3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of 6plus3 per mile. The total fare was $24, not including the tip. How many miles did Mike travel by taxi on this ride?
A 2
B 6
C 8
D 10
Answer:
6 miles.
Step-by-step explanation:
To solve this problem, lets make an equation in slope-intercept form (y = mx + b)
The initial fee is $6. This is our y-intercept (b) as it is unchanging.
Our slope (m) would be $3, as it changes value per mile, which will be represented by x.
$24 was the total fare, so this is our y.
We have:
24 = 3x + 6
Subtract 6 from both sides.
24 - 6 = 3x + 6 - 6
We get:
18 = 3x
Divide by 3 on both sides.
18/3 = 3x/3
We get:
6 = x
So, Mike traveled 6 miles.
I would appreciate brainliest, if not that's ok!
Write a reclusive rule for the sequence, then give the next two numbers in the sequence 6,1,7,8,15,23
Answer:
aₙ = aₙ₋₁ + aₙ₋₂
where:
a₁ = 6
a₂= 1.
Step-by-step explanation:
We have the sequence:
6, 1, 7, 8, 15, 23, ...
Is easy to see that this sequence works as follows:
You take 2 consecutive numbers, and the next number is the sum of these two.
Then we have:
6 + 1 = 7
1 + 7 = 8
7 + 8 = 15
8 + 15 = 23
Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.
This is written as:
aₙ = aₙ₋₁ + aₙ₋₂
Because in the recursive rule needs two previous terms, we need to specify the two first terms of the sequence.
Then we need to write also:
a₁ = 6
a₂= 1.
Which line is the graph of y= -2x+2? D B A C
What is the solution set for −4x − 10 ≤ 2?
A x ≤ −3
B x ≥ −3
C x ≤ 2
D x ≥ 2
helppppppppppppppppppppp
Math Help Me Please!!! Thank you
Answer:
B: Linear
Step-by-step explanation:
Linear can be all different patterns including inconsistent patters as you see on the screen.
Linear can also be provided in algebra.
Dots A: 5
Dots B: 7
All of the following could be rewritten as an addition problem of two integers with the same sign except _____.
-9 - (-12)
-9 - 12
-12 - 9
12 - (-9)
Answer:
Answer is - 9 + 12 because they have different signs in front of each integer. (if that is what the question means)
Step-by-step explanation:
Negative sign x negative sign = positive sign
-9 - (-12) = -9 + 12
-9 - 12
-12 - 9 = -9 - 12
12 - (-9) = 12 + 9 = 9 + 12
1. It's either B or D
Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.
A. c(p) = p + 0.42
B. c(p) = 42p
C. c(p) = p/0.42
D. c(p) = 0.42p
Answer:
D. c(p) = 0.42p
Step-by-step explanation:
total cost = .42(P)
Example: 5 lbs
$2.10 = $.42(5)
c(p) = 0.42p <== ur function
Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:
c(p) = 0.42p
Where: c(p) = total cost of sugar bought
p = pounds of sugar
c(p) is a function of p, because c(p) depends on p.
Answer: The function rule that gives the total cost is given by
Step-by-step explanation:
Let the number of pounds of sugar be 'p'.
Let the total cost would be C(p).
Cost of each pound = $0.42
So, the function rule would be
Hence, the function rule that gives the total cost is given by
A store pays $557.55 for a gaming system, and marks the price up 40%. What is the retail price?
Answer:
$780.57
Step-by-step explanation:
557.55*1.4 = 780.57
I need help.......,.......... ...... ..... .....
Answer:
its a
Step-by-step explanation:
i just did this
There are 12 dogs at the dog park on a busy Saturday. 3 of them are golden retrievers.
What is the probability that a randomly selected dog is a golden retriever?
Answer:
B
Step-by-step explanation:
-5x + 11 = -8(4 + 6x) What are the steps?
Answer:
[tex]x = - 1[/tex]
Step-by-step explanation:
[tex] - 5x + 11 = - 8(6x + 4)[/tex]
[tex] = > - 5x + 11 = - 48x - 32[/tex]
Lets keep the variable terms in L.H.S. and the constant terms in R.H.S.
[tex] = > 48x - 5x = - 32 - 11[/tex]
[tex] = > 43x = - 43[/tex]
Lets divide 43 on both the sides.
[tex] = > \frac{43x}{43} = \frac{ - 43}{43} [/tex]
[tex] = > x = - 1[/tex]
Order -5,-7,0, and 4 from least to greatest
Answer:
-7,-5,0 and 4 is from the least to the greatest.
Answer:
-5,-7,0,4
Step-by-step explanation:
-5
-7
0
4
Which of following is an example of a quadratic inequality?
Answer:
B
Step-by-step explanation:
Quadratic inequalities are inequalities involving quadratics.
A is not an inequality.
B is an inequality and we can rewrite B as:
[tex]x^2+x<0[/tex]
So, B is a quadratic inequality, and is the answer.
C is not a quadratic. The x terms are not squared.
Likewise, D is not a quadratic either since no x terms are being squared.
Use the GCF (Greatest common factor) to factor the expression 3.02
+ 8x
Answer:
hi
Step-by-step explanation:
Tessa is training for a marathon. She runs 13 km a day for 3 days. How many meters did Tessa run in all?
Answer:
39 km
Step-by-step explanation:
13 x 3 = 39km
Hope that helps!
A line has a slope of 1 and passes through the point (2, -17). What is its equation in
slope-intercept form?
Answer:
y = x - 19
Step-by-step explanation:
slope: 1/1x
(2,-17) Subtract by slope until x = 0, so you can get the y-intercept.
(1,-18)
(0,-19)
y - intercept: (0,-19)
Slope-intercept form: y = mx + b
y = x -19
To find 40% of 75, Priya calculates 2/5⋅75. Does her calculation give the correct value for 40% of 75? Explain how you know.*
Answer:
Answer: Yes , priya calculated correctly . The value of 40% of 75 is 30
Step-by-step explanation:
A family of 5 drove to a concert. They paid $4 one time for parking and all of their tickets were the same price. They paid $99 total. What equation would represent this situation?
Answer:
5 + (18,8 × 5) = 99
Explaination
one ticket costs: (99$ - 5$) ÷ 5 = $18,8
what is the answer?136,88,or 44?
Answer:
136
Step-by-step explanation:
Sports of the 25 baseball players on the baltimore orioles 2005 roster, 17 threw right handed, 12 were over 30 years old, and 9 both threw right handed and were over 30 years old. How many players on the team neither threw right handed nor were over 30 years old?
Answer: 5
Step-by-step explanation:
Let R be the event that players threw right-handed.
Let O be the event that players were over 30 years old.
Given: Total players = 25
n(R) = 17 , n(O) = 12 , n(R and O)=9
According to the probability formula,
n(R or O) = n(R)+n(O)-n(R and O)
⇒ n(R or O) =17+12-9
⇒ n(R or O) = 20
Now , n(neither R nor O) = Total - n(R or O)
= 25-20
=5
Hence, the number of players on the team neither threw right-handed nor were over 30 years old = 5
Help me with the matching pls
Answer:
boiling point Fahrenheit: 212
boiling point Celsius: 100
freezing point Fahrenheit: 32
freezing point Celsius: 0
Circle O has a radius of 5 centimeters and central angle AOB with a measure of 60°. Describe in complete sentences how to find the length, in terms of a radian measure, of AB.
Answer:
We can use the formula for finding arc length given ccx central angle and radius.(insert formula below) We then substitute 5 in for r and and 60 for x. We multiply 2 pi times 5 which gives us 10. We then reduce the fraction of 60/360 to 1/6. We multiply 10 pi by 1/6 and that gives us
10 pi/6 or 5 pi/3
Step-by-step explanation:
We can use the formula
[tex]2\pi \times r( \frac{x}{360} )[/tex]
to find the arc length where r is the radius.
and x is the arc measure.
Plug it in for the numbers
[tex]2\pi \times 5( \frac{60}{360} )[/tex]
Multiply 2 pi times 5=10 pi
[tex]10\pi( \frac{60}{360} )[/tex]
Simplify 60/360 to 1/6
[tex]10\pi \times \frac{1}{6} = \frac{10\pi}{6} [/tex]
Reduce it to
[tex] \frac{5\pi}{3} [/tex]