Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]
[tex]y=3x+b[/tex]
[tex]-3=3(4)+b[/tex]
[tex]-3=12+b[/tex]
[tex]-15=b[/tex]
[tex]y=3x-15[/tex]
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]
OK LOLOLOL HOW DO I SHOW MY WORK
Answer:
Yes, this equation is a system of equations because the two equations do intersect at the point, (0.323529411763, -1.23529411765), making them have a solution. *Work Below*
Step-by-step explanation:
Lets use the elimination method which is ...
4x-3y=5
2x+7y=-8
Multiply the bottom part by -2
(-2)2x+(-2)7y=(-2)-8
which equals...
-4x-14y=16
Rewrite the equations
4x-3y=5
-4x-14y=16
Add and the x's cancel making..
-17y=21
Divide by -17 to isolate y
y=-1.23529411765
Replace y with -1.23529411765 on one of the equations
4x-3(-1.23529411765) =5
x=0.323529411763
solution : (0.323529411763, -1.23529411765)
Someone please help this is soooooo hard
Step-by-step explanation:
1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then
2. QS=10*2-7=14;
3. SR=5*2+3=13;
4. m(∠PSR)=15*2+42=72°;
5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.
Which of the following values for x will make relation A shown below a function?
A={(3,5),(4,9),(7,2),(x,6)}
A 3
B 4
C 5
D7
a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length
Step-by-step explanation:
the answer thats it 12,4
Answer:
12.4 meters
Step-by-step explanation:
The area is the product of length and width. Fill in the given information in the formula and solve for length.
A = LW
198.4 = L×16
198.4/16 = L = 12.4
The length of the patio is 12.4 meters.
Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.
Answer:
3.3%
Step-by-step explanation:
77500-75000=2500
2500/75000 x100=3.3%
Rosanne is making a swirled pudding dessert to bring to her friend's barbecue. She mixes
chocolate and vanilla pudding in a large bowl for the adults. Then, she decides to make a smaller
portion for the kids. In a small bowl, Rosanne mixes half the amount of chocolate pudding and half
the amount of vanilla pudding. Which bowl of pudding is more chocolaty?
Answer:
None of the bowls
Step-by-step explanation:
It's because the amount of chocolate and vanilla in the pudding is the same,
which is why both are chocolatey; none are more chocolatey
Answer:
none
Step-by-step explanation:
what do I do here? please help
Answer:
x = 10
Step-by-step explanation:
8x - 12 and 6x + 8 are corresponding angles and are congruent , then
8x - 12 = 6x + 8 (subtract 6x from both sides )
2x - 12 = 8 ( add 12 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.
Answer:
x = 274 91/107
Step-by-step explanation:
This is called a "two-step linear equation" because it is solved in 2 steps.
Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.
2.14x -12.18 +12.18 = 576 +12.18
2.14x = 588.18
__
Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.
2.14x(1/2.14) = 588.18(1/2.14)
x = 274.850467... = 274 91/107 . . . the decimal fraction repeats
The solution to the equation is x = 274 91/107.
Answer:
x = 274 91/107
Step-by-step explanation:
Step-by-step explanation:
This is called a "two-step linear equation" because it is solved in 2 steps.
Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.
2.14x -12.18 +12.18 = 576 +12.18
2.14x = 588.18
__
Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.
2.14x(1/2.14) = 588.18(1/2.14)
x = 274.850467... = 274 91/107 . . . the decimal fraction repeats
The solution to the equation is x = 274 91/107.
solving the math function
Answer: the answer is C
Step-by-step explanation: trust me took the final yesterday ♀️
Answer:
C) [tex]f(x)=(x-1)^\frac{1}{2}[/tex]
Step-by-step explanation:
The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, [tex]f(x)=(x-1)^\frac{1}{2}[/tex] is correct.
show work! my teacher told me this was wrong, what's the correct answer?
Answer:
I do not know man but good luck
please help !!!!!!!!!!!plss
Answer:
4
Step-by-step explanation:
replace x with its value to get
8-2y+3y=12 then combine like terms
8+y=12 subtract 8 from both sides
y=4
Answer:
the answer is numbe 1 which is 0
Step by step explaination:
What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5
if any doubt leave a comment
HELP ME PLEASE GUYS ! :)
Answer:
(12, 1)
Step-by-step explanation:
Arbitrarily choose y = 1. Then x - 6y = 6 becomes
x = 6(1) + 6, or x = 12.
Thus, one (of many) point on the graph is (12, 1).
All 136 students in the Math Club went on a field trip. Some students rode in cars which hold 4
students each and some students rode in buses which hold 30 students each. How many of each type
of vehicle did they use if there were 8 vehicles total?
Answer:
They used 4 buses and 4 cars
Step-by-step explanation:
136/30= 4.5 (which means we can full 4 buses)
If we fill 4 buses : 4x30=120
We have 4 vehicles left and 16 students left too.
4x4= 16
We can fit every studens in the cars.
What is 2/3 divided by 4/9?
Answer:
3/2.Step-by-step explanation:
2/3 ÷ 4/9=> 2/3 x 9/4=> 18/12=> 3/2Conclusion:
Therefore, 2/3 divided by 4/9 is 3/2.
Hoped this helped.
[tex]GeniusUser[/tex]
Answer: 1 1/2
Step-by-step explanation: 2/3/4/9
(2/3)(9/4) 18/12/6/6 3/2 1 1/2
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
PLEASE CAN SOMEONE HELP ME
Answer:
u=ABCDEF
Step-by-step explanation:
b) Solve x ^ 2 + 5x - 14 = 0
[tex]x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7[/tex]
Answer:
x = -7 and x = 2
Step-by-step explanation:
x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.
Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.
Help i need help IM SO CONFUSED
Answer:
1. 3/8 are female
2. 1/6 ton
3. 1 and 31/40 kg
Step-by-step explanation:
1. 5/8-male, 8/8 - 5/8 = 3/8
2. 2/15 + 3/15 = 5/15, 5/15 = 1/3, 1/3 = 10/30, (1/2 = 15/30) 15 - 10 = 5, 5/30 = 1/6
3. 7/8 + 9/10 = 71/40
Answer:
Step-by-step explanation:
1) 5/8 of the staff is male, 5/12 of the staff works part time
the question askes what fraction of the workforce is female
if 5/8ths is male than the other 3/8ths are female
3/8 of the staff is female
2) how much food was fed at night
2/15 + (2/15 + 1/15) + x = 1/2
2/15 + (3/15) + x = 1/2
5/15 + x = 1/2
1/3 + x = 1/2
x = 1/6
1/6th of a ton was fed at night
3)
just add them
7/8 + 9/10 = 71/40 or 1 31/40
Need help l don’t understand
Step-by-step explanation:
open brackets and work out
Answer:
x = 12
Step-by-step explanation:
9(x - 11) = 9 ( divide both sides by 9 )
x - 11 = 1 ( add 11 to both sides )
x = 12
please help 50 pts and brainliest if correct
Answer:
C
Step-by-step explanation:
it makes sense yah?
Answer:
C) Three fourths of the fish he caught were less than 50.5 pounds
Sam and Annie find a box of marbles in their dad’s closet. Sam claims that the marbles can be used to model the structure of a solid.
Marbles are solid in nature, they can be used to form objects of any kind, this makes them suitable for Sam's claim, the marbles can be used to model a typical structure of a solid, even though it is can only be a prototype.
There are two main categories of solids: Crystalline Amorphous.Crystalline solids are well ordered at the atomic level, and amorphous solids are disordered.
Types of crystalline solidsThere are four types of crystalline solids: ionic solids, molecular solids, network covalent solids, and metallic solids
The constituents of a solid can be arranged in two general ways: they can form a regular repeating three-dimensional structure called a crystal lattice
Learn more:
https://brainly.com/question/9065761
How many fourth-fifths are in eight
Answer:
10
Step-by-step explanation:
8 ÷ 4/5 = 10
I hope this helps!!
Find a formula for the Nth term of sequence:
3,5,9,17
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
It takes 5 minutes to fill an empty aquarium to a depth of
5/8
meters. What is the unit rate in minutes per meter?
Answer:
1/8 meters per minute
Step-by-step explanation:
5/8 ÷ 5
I hope this helps!!
Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.
If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then
7 + t = P
1 + 3t = P
Solve for t :
7 + t = 1 + 3t
t - 3t = 1 - 7
-2t = -6
t = 3
So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.
110 < 2x + 10 pls helppppppp
110<2x+10
Step 1: Flip the equation.
2x+10>110
Step 2: Subtract 10 from both sides.
2x+10−10>110−10
2x>100
Step 3: Divide both sides by 2.
x>50
Step-by-step explanation:
Write as expression. The sum of 7, a number, and 8.
Answer:
7 +X + 8= Y
Step-by-step explanation:
The sum means addition, and "a number" is going to be replaced by X
you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words
Time needed to type 400 words is 13.3 minutes.
What is unit rate?A unit rate means a rate for one of something.
Given that, you are taking a typing class and can now type 30 words per minute.
For 30 word, you need 1 minute.
Let you need x minutes for 400 words,
Therefore, the proportion will be,
1/30 = x/400
x = 400/30
x= 40/3
x = 13.33333 ≈ 13.3
Hence, you need 13.3 minutes to type 400 words.
For more references on unit rate, click;
https://brainly.com/question/29781084
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what is the answer for this question 7(x+4)-7=48-2x
Answer:
x = 3
Step-by-step explanation:
7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side
7x + 28 - 7 = 48 - 2x
7x + 21 = 48 - 2x ( add 2x to both sides )
9x + 21 = 48 ( subtract 21 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer: the answer is x=3
Step-by-step explanation:
step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x
step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x
step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48
step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x
step 5: 9x=27 now divide both sides by 9 so 27/9= 3