Answers
Answer:
The slope is [tex]\frac{3}{2}[/tex]
The y-intercept is 9
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:
Choose any two-point from the table
∵ The line passes through the points (2, 12) and (4, 15)
∴ x1 = 2 and x2 = 4
∴ y1 = 12 and y2 = 15
→ Use the rule of m to find it
∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]
∴ m = [tex]\frac{3}{2}[/tex]
∴ The slope is [tex]\frac{3}{2}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{3}{2}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b
∴ 12 = 3 + b
→ Subtract 3 from both sides
∴ 12 -3 = 3 - 3 + b
∴ 9 = b
∴ The y-intercept is 9
Related Questions
There were 3 boys for every 4 girls in the group if there was 20 girls how many students went on the trip.
Answers
Answer:
35 students
Step-by-step explanation:
If there are 4 girls, then there are 3 boys
You will multiply both by 5 to get 20
So 3×5 is 15
20+15 = 35
Answer: 35 students
Explanation: Divide 4 into 20 to see how many sets of 4 girls there are. So there are 5 sets of four girls.
Five times three is 15.
In total (15 + 20), there are 35 students.
Plz mark brainliest:)
The roots of x² - 4x = 5, in ascending order, are what?? PLEASE HELP
Answers
Answer:
Step-by-step explanation:
x^2 - 4x - 5 = 0
(x - 5)(x + 1) = 0
x - 5 = 0
x = 5
x + 1 = 0
x = -1
We want to find the roots of a quadratic equation, to do that, we will use the Bhaskara's formula.
For an equation like a*x^2 + b*x + c = 0
The solutions are given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Using that formula we will get that the solutions in ascending order are -1 and 5.
Now let's see how to get that:
We have expression: x^2 - 4x = 5
We can rewrite this as:
x^2 - 4x - 5 = 0
Now we can use the Bhaskara's formula to get:
[tex]x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*(-5)} }{2*1} = \frac{4 \pm6}{2*1}[/tex]
Then the two solutions are:
x = (4 + 6)/2 = 5
x = (4 - 6)/2 = -1
Then the solutions in ascending order are -1 and 5.
If you want to learn more, you can read:
https://brainly.com/question/23033812
Help me solve this problem please
Answers
7w = 49 Can anybody help me with this one too?
Answers
Answer:
w=7.
Step-by-step explanation:
Divide 7 on both sides of the equation.
Answer:
7w=49
7 × w = 49
w= 49÷7
w=7
The graph below showed the amount of money Jason saved over a 5 month period.
Part A write an equation that represents the graph
Answers
Answer:
owo
Step-by-step explanation:
Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.
Answers
The other answer is wrong
A small submarine starts at - 1.260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes What expression represents the new position of the submarine in relation to sea level?
Answers
Answer:
The submarine is at -1260 ft.
It descends 5 ft/min for 12 min.
12 min * 5 ft/min = 60 ft.
It descended 60 ft, so you must subtract 60 ft from -1260 ft.
-1260 ft + (-5)(12) ft = -1260 ft - 60 ft = -1320 ft
The error in the last line in the problem is that (-5)(12) = -60, not 60.
The correct line is:
-1260 + (-5)(12) = -1260 - 60 = -1320
Step-by-step explanation:
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line -8y=8x-32 ?
x-value of x-intercept _____
y- value of y-intercept _____
Answers
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. i already have 1 boy for every 6 girls
Answers
-4x = -1/2 ( 10x + 18 ) can anyone coment
Answers
9 = x
xxxxxxxxxxxxx
Answer:
Your answer is: x = -9
Solve for x by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
BRAINLIEST!
Find 78 divided by 13. Input your answer as a reduced fraction.
Answers
Answer:
The answer is 6 in reduced fraction form:)
Step-by-step explanation:
The reduced fraction of the given division is 6/1.
Given that, 78 divided by 13.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 78/13
= 6/1
Therefore, the reduced fraction of the given division is 6/1.
To learn more about the division visit:
https://brainly.com/question/1575906.
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The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28. What was the wholesale price of each water bottle?
Answers
Answer:
$0.84
Step-by-step explanation:
0.28 x 3 = 0.84
0.28 0.28 0.28
= 0.84
33% 33% 33%
Answer:
0.84
Step-by-step explanation: 0.28 + 0.28 + 0.28 = 0.84. i added it 3 times because you will divide by 3
HELPPPPPP
Question:
In pic
Answers
Answer:
68/12
Step-by-step explanation:
12x5 is 60 then add the 8
Answer:
5[tex]\frac{2}{3}[/tex] I believe
what is the slope of the line ?
Answers
Answer:
The slope is -1.
Step-by-step explanation:
Slope= y2-y1/x2-x1 So slope =2-1/-4-(-3)= 1/-1. 1/-1= -1, so the slope= -1.
NEED ANSWER STAT
A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases hot dogs and hamburgers, the amount of money he spends can be modeled by the expression below.
2.5d+3.5b+25
2.5d+3.5b+25
Which of the following are correct interpretations for parts of this expression? Choose ALL that apply.
A.
2.5d represents the cost of entering the park
B.
2.5d represents the cost of purchasing d hot dogs
C.
2.5d represents the cost of purchasing d hamburgers
D.
3.5b represents the cost of entering the park
E.
3.5b represents the cost of purchasing b hot dogs
F.
3.5b represents the cost of purchasing b hamburgers
G.
25 represents the cost of entering the park
Answers
Answer:
B, F, G
Step-by-step explanation:
Answer:
B, F, G
Step-by-step explanation:
Calculate the average atomic mass between the following isotopes of Copper. Cu63: 68% for mass of 62.93 amu , Cu65: 32% for a mass of 64.93 amu.
The person with correct answer will receive branliest answer, thank you and please help me :)
Answers
Answer:
the third one
Step-by-step explanation:
first you would multiply the mass and the "amu" of both of the isotopes of copper when you have what you multiplyed, you add that product and get your answer.
The XYZ Car Rental Agency charges a
flat rate of $39 per day plus $0.47 per mile driven.
Write an algebraic expression for the rental cost of a
car for x days that is driven y miles.
Answers
M
115°
Y
N
(4k + 5)º
(6k + 10)
X
Answers
Answer: 10
Step-by-step explanation:
Without solving, how can you tell that the inequality 4x + 8 = 4x - 3 has no solution?
Answers
Answer:
there are no x values of X that make the equation true
Step-by-step explanation:
The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution or the equation is wrong.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
Given the equation
4x + 8 = 4x - 3
Subtract 4x from both sides
4x + 8 - 4x = 4x - 3 - 4x
(4x - 4x) + 8 = (4x - 4x) - 3
8 ≠ 3
Since it is not satisfying so it will not have any solution.
Hence "The given equation is not the same on the left-hand side as on the right-hand side so there will be no solution".
For more about the equation,
brainly.com/question/10413253
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95 increased by 10%. SIMPLIFIED ANSWERS.
Answers
Answer:
104.5
Step-by-step explanation:
10% of 95 is 9.5 and if you add that to the original value you get the answer
Answer:
95, percentage increased by 10% (percent) of its value = 104.5
what is the answer?
Answers
At midnight, the temperature was 20.4°F. In the morning, the temperature was −5.2°F. Which statement describes the temperatures?
Please help will give brainliest
Answers
Answer:
Hey dabi, the statment that describes the tempertures is one is cold the other is colder i guess
Step-by-step explanation:
3x+1=27x-2
X=
I need help in this pleaseeeeeeeee
Answers
Answer:
hhdjeejhshhhqhahqhqhhwhhqhqhqhqhwhhehehehwhhehehejwjjw
Answer:
x=1/8
Step-by-step explanation:
First we need to isolate the variable. We can do that by subtracting 3 from each side. You then get: 24x-2=1. Then, to completely isolate it, add 2 to each side. We get 24x=3. Now divide 24 from each side to get only x. We get 3/24, which can be rewritten as 1/8.
HELP!!!
What is the equation of the line that passes through the point (-5,–6) and has a
slope of 3/5?
Answers
Answer:
y=3/5-3
Step-by-step explanation:
Is this Kumon LOL?
y=mx+b
y=3/5x+b
-6=3/5 times -5=b
b=-3
I need to know the missing angles
Answers
Answer:
71
Step-by-step explanation: 2x=142
x=71
Answer:
the missing angles are 71
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
142° is an exterior angle of the triangle, thus
x + x = 142
2x = 142 ( divide both sides by 2 )
x = 71
A number m plus 4 is greater than or equal to 7.
Answers
Answer:
m is greater than or equal to 3
Step-by-step explanation:
[tex]m \geqslant 3[/tex]
Answer:
[tex]m + 4 \geqslant 7 \\ m \geqslant 7 - 4 \\ m \geqslant 3[/tex]
Write −0.48 as a fraction in simplest form.
−0.48=
I would also like an explanation too please! HELP ASAP :(
Answers
Answer:
-12/25
Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48
5y[4-(y+2) ]+4y(y+2)
Answers
Answer: −y^2+18y
Let's simplify step-by-step.
5y(4−(y+2))+4y(y+2)
Distribute:
=(5y)(4)+(5y)(−y)+(5y)(−2)+(4y)(y)+(4y)(2)
=20y+−5y2+−10y+4y2+8y
Combine Like Terms:
=20y+−5y2+−10y+4y2+8y
=(−5y2+4y2)+(20y+−10y+8y)
=−y^2+18y
Answer:
= −y^2+18y
Hope this helps you!
Answer:
It could be 37y
Step-by-step explanation:
If q(x)=4/5x-9, find the value of x so that the function has the given value of q(x)=3
Answers
Answer: x = 15
Step-by-step explanation:
1) Set q(x) = 3 in the equation.
3 = (4/5)x - 9
2) Add 9 to both sides.
12 = (4/5)x
3) Multiply by 5/4 on both sides.
15 = x
x = 15
The probability that a randomly selected person at a show has seen the band play live before is 30%. A "superfan" is defined as someone who has seen the band play live at least 10 times. The probability that a person at a show is a "superfan" is 20%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are superfans?
Answers
Answer:
0.09 and 0.04
Step-by-step explanation:
The probability that a randomly-selected person at a show has seen the band play live before is 30%=0.30
The probability that a person at a show is a "superfan" is 20%=0.20
Two people are selected at random.
The probability that both people have both seen the band perform live before = The probability that the first person has seen the band live before and the second person also has seen the band live before.
=0.30 x 0.30
=0.09
Similarly, the probability that both are "superfans" = The probability that the first person is a superfan and the probability that the second person is a superfan.
=0.20 x 0.20
=0.04
Hence, the probability that both people have both seen the band perform live before, and are "superfans" are 0.09 and 0.04 respectively.