Answer:
[tex]Point-Slope \: Form \: (using \: the \: point \: (1,9) \to \boxed{y-9=2x- 2}\\
Slope-Intercept \: Form \to \boxed{y = 2x + 7}\\
Standard \: Form\to\boxed{ 2x - y = - 7}[/tex]
Step-by-step explanation:
[tex]the \: equation \: is \: gotten \: by \: applying : \ \\ (m) = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} .............(the \: slope) \\ y-y_{1} =m (x- x_{1})..............(point \: slope \: form) \\ y = mx + c..............................(Slope-Intercept \: Form) \\ \alpha x + \beta y = c...................(Standard \: Form) \\ \\ part \: a. \to \\ Point-Slope \: Form \: (using \: the \: point (1, \: 9)): \\ y-y_{1}=m (x- x_{1}) \\ y-9=m (x- 1) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{9 - 7}{1 - 0} \\ m = 2. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y-9=2x- 2}. \\ \\ part \: b. \to \\ Slope-Intercept \: Form: \\ since \: m \: is \: already \: given \: then \: we \: apply : \\ y = m(x) + c \\ c = y - m(x) \\ c = 9 - 2(1) \\ c = 7. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y = 2x + 7}. \\ \\ part \: c. \\Standard \: Form: \\ the \: standard \: form \: is \: given \: by : \\ \alpha x + \beta y = c \\ \boxed{ 2x - y = - 7} \\ is \: the \: required \: equation.[/tex]
♨Rage♨
How do I find the percentile of someone with a certain number of things from a dot plot data set?
Answer:
percentile rank of x =
number of values before x 100
--------------------------------------------------- x ----------
number of total values on the dot plot 1
Step-by-step explanation:
you divide the number of values before x over the number of total values on the dot plot, and divide the quotient by 100 to get your percentile.
Which mathematical property is demonstrated?
5 + 3w + 2 = 5 + 2 + 3w
A. associative property of addition
B. commutative property of addition
C. commutative property of multiplication
D. associative property of multiplication
Answer:
Commutative property of addition
The commutative property is when parts of an equation can be moved around, but give the same answer.
Step-by-step explanation:
Answer:
Commutative property of addition
The commutative property is when parts of an equation can be moved around, but give the same answer.
Step-by-step explanation:
This year the winner of the New York Marathon ran the 8-kilometer event in 24 minutes. What is the runner’s unit rate?
8km - 24 minutes, to find the unit rate (how long it took to run 1km)
We would make a ratio,
8:24
Now just simplify,
8:24
=
1:3
Therefore the unit rate would be 1 kilometer covered for every 3 minutes.
Answer:
0.33 repeating kilometers per minute. 1km/3min
How many solutions does the system below have?
2x + 6y = 12
y =
= -x + 2
1 solution
2 solutions
no solutions
infinite solutions
5/12 use slope to determine if lines PQ and RS are parallel, perpendicular or neither
Answer:
3 and 3 and the type is Parallel Ig (Im doing the same thing xd
Find the slope between the two points.
(-3,4) & (1.-0)
Answer:
The answer is - 1Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
We have
[tex]m = \frac{0 - 4}{1 - - 3} = - \frac{4}{4} = - 1 \\ [/tex]
We have the final answer as
- 1Hope this helps you
PLZ HELP I WILL MARK BRAINLEIST!!!! Real World
1 point
21. For Dish it costs $40 each month for cable and $3.50 for every movie
you rent. For Direct TV it cost $75 each month for cable and $2,25 for every
movie you rent. Write and solve an equation to find the number of movies
you need to purchase for the cost to be the same each month. [No need
for a label.) •
Your a Tswer
This is required Question
Answer:
You would have to rent 28 movies.
Step-by-step explanation:
You would set up the problem as a system of equations. This means that you have to have two equations.
Dish: [tex]y=3.50x+40[/tex]
Direct TV: [tex]y=2.25x+75[/tex]
In order to find the answer to these, you can either graph them or set them equal to each other. If you graph them, the answer is where the two lines intersect. For this, we will set them equal to each other:
[tex]3.50x+40=2.25x+75[/tex]
To start, since there is a number with the same variable on both sides, we must subtract the lower one from both sides of the equation. In this case, we will subtract [tex]2.25x[/tex] from both sides, giving us:
[tex]1.25x+40=75[/tex]
Now, we solve like a normal two-step equation.
Subtract 40 from both sides:
[tex]1.25x=35[/tex]
After that, we will divide both sides of the equation by 1.25:
[tex]\frac{1.25x}{1.25}=\frac{35}{1.25}[/tex]
This gives us:
[tex]x=28[/tex]
Which means you would have to rent 28 movies exactly in order for their prices to match.
Which of the following lines is perpendicular to the line y = -3 x + 2 and passes through the point (–2, 8)?
Answer:
y = 1/3x + 26/3
Step-by-step explanation:
Original equation: y = -3x + 2
Perpendicular lines have the "opposite reciprocal" slopes of each other, meaning you flip the numbers and reverse the sign.
Slope of original equation: -3
Slope of perpendicular line: 1/3
How: Reciprocal, flip the numbers: -3/1 to -1/3, then reverse sign -1/3 to 1/3
Then you substitute (-2, 8) into the new equation: y = 1/3x + b
*there's b because you don't know the y-intercept yet
Substitute: 8 = 1/3(-2) + b
8 = -2/3 + b
Add 2/3 on both sides
b = 24/3 + 2/3
b = 26/3
*this is the y-intercept
Therefore, the perpendicular equation is: y = 1/3x + 26/3
Please help me fast
Step-by-step explanation:
5-(-2)
5+2 (a minus and a minus together gives a plus)
=7
9+ (-2)
9-2
=7 (a plus and a minus gives a minus)
Yes it will give you the same answer as a minus and a minus together gives a plus and a plus and a minus gives a minus
36. A group of 30 students from the senior class
charters a bus to an amusement park. The total
amount they spend on the bus and admission
to the park for each student is $1,770.
A group of 50 students from the junior class
also go to the amusement park, but they
require two buses. If the group from the junior
class spent $3,190 in total, how much does it
cost to charter one bus?
LESSON 4-3 Solving Systems of
I got $720 because i did x + 30y = 1770, and then 2x + 50y = 3190, 5x + 150y = 8850, 6x + 150y = 9570 and lastly x = 720.
The required cost of one charter bus would be 720 dollars.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that cost to charter one bus would be x and the spend on the student would be y
According to the given situation, we can write the equations as
x + 30y = 1,770 ....(i)
2x + 50y = 3,190 or
x + 25y = 1,595 .....(ii)
Subtracting equation (ii) from equation (i), and solving for y
x + 30y - (x + 25y) = 1,770 - 1,595
5y = 175
y = 35
Substitute the value of y= 35 in the equation (i), and solve for x
x + 30(35) = 1,770
x + 1,050 = 1,770
x = 1,770 - 1,050
x = 720
Therefore, the cost of one charter bus would be 720 dollars.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
Please helpppp what is the solution to this: 8 < 3x - 1 < 17
Answer:
3 < x < 6
Step-by-step explanation:
8 < 3x - 1 < 17
Add 1 to all sides
8+1 < 3x - 1+1 < 17+1
9 < 3x < 18
Divide all sides by 3
9/3 < 3x/3 < 18/3
3 < x < 6
Answer:
x=(3,6)
Step-by-step explanation:
3x-1>8 and 3x-1<17
3x>9 3x<18
x=3 x=6
a) Complete this prime factor tree:
36
3
12
2
6
2
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest
Answer:
here is the answer , just have a look
In the following problem, which step uses the additive identity to get to the next step?
-18 + 73 + 18
-18 + 18 + 73
0 + 73
73
please help! ill give brainliest.
Answer:
[tex] y = -\dfrac{4}{5}x + 11 [/tex]
Step-by-step explanation:
(5, 7), (10, 3)
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{3 - 7}{10 - 5} = -\dfrac{4}{5} [/tex]
[tex] y = mx + b [/tex]
[tex] y = -\dfrac{4}{5}x + b [/tex]
[tex] 7 = -\dfrac{4}{5} \times 5 + b [/tex]
[tex] 7 = -4 + b [/tex]
[tex] b = 11 [/tex]
Answer:
[tex] y = -\dfrac{4}{5}x + 11 [/tex]
Sequence: 2, 6, 10, ... What are the next two numbers in the sequence?
Answer:
14, 18,
Step-by-step explanation:
It goes by 4's. 2 ,6 ,10 ,14 ,18.
Answer:
2, 6, 10, 14, 18
Step-by-step explanation:
Yeah it going by 4's
A linear equation has a slope of 2 and goes through points (3,5). Write an
equation for this line in slope intercept form.
Answer:
y=2x-1
Step-by-step explanation:
In 2015, approximately 734.1 million tons of wheat were produced globally. China produced the most wheat of any country, at 130.2 million tons. What percentage of the world's wheat yield did China produce in 2015? Round your answer to the nearest whole number.
Answer:
China produced 18% of the world's wheat yield in 2015.
Step-by-step explanation:
To determine the percentage of the world's wheat yield China produced in 2015, we will divide the quantity of wheat China produced by the total quantity of wheat produced globally and then multiply by 100%.
From the question,
Wheat produced globally in 2015 = 734.1 million tons
Wheat produced by China in 2015 = 130.2 million tons
Percentage of the world's wheat yield China produced in 2015 =
(130.2 million tons / 734.1 million tons) × 100%
= 0.17736 × 100%
= 17.736%
= 18% ( to the nearest whole number)
Hence, China produced 18% of the world's wheat yield in 2015.
how many abtuse angles are there in a right angle?
Answer:
None
Step-by-step explanation:
In a right triangle there is one 90-degree angle and the other two have to be acute because the angles have to sum to be 180 degrees.
holly earns 30 babysitting 5hours she earns 28 dollars when she does chores 4 hours witch compares the unit rates
Answer:
c
Step-by-step explanation:
Sam purchases a used video game for GameStop. In order to make a profit,
GameStop marksup their used game 50% before reselling them. Sam paid $45 (without
tax). What was the original price of the game?
Answer:
$22.50
Step-by-step explanation:
50/100 = x/45
cross multiply
50 × 45 = 100 × x
2250 = 100x
divide both sides by 100
22.5 = x
*note: marksup the price means that $45 should be more than what the value of x is. $45 is more than $22.50. you can also check your work by looking at the fact $22.50 is exactly half (50%) the amount of $45*
What’s 0.5 divided by 808.0
Answer:
LoOk At ThE CaLcUlAtOr
Step-by-step explanation:
Fraction form: 1/1616
A club has 800 members. 100 of the members were randomly picked and were asked if the dues should be raised. 6 of the members said that dues should be raised. Based on these results, about how many members in the club would be expected to say that dues should be raised?
Answer:
About 48 members would be expected to say that dues be raised
Step-by-step explanation:
Here, we shall be using a case of a representative sampling to determine the actual.
Out of the 100 selected members, 6 said the dues should be raised;
This represents a percentage of 6/100 = 6%
So out of the 800, the expected number of members that would ask for a dues raising will be;
6/100 * 800 = 48
List the y intercept of this equation: Y=4x+1 *
Explain how you know these two figures are similar.
i need help please someone
What is the slope of the line represented by the equation y = 4/5x - 3?
A . -3
B. -4/5
C. 4/5
D. 3
Answer:
i think c but not positive
Step-by-step explanation:
heloppppp meeee agiinnnn
Answer:
x=3
Step-by-step explanation:
3(x-2)+x-1=5
3x-6+x-1=5
4x-7=5
4x=12
x=3
Answer:
3
Step-by-step explanation:
3(x-2)+x-1=5
3(x-2)+x=6
3x-6+x=6
3x+x=12
4x=12
x=3
A small scoop hold 75% as much as a large scoop. If the small scoop holds
36 units, how much does the large scoop hold?
Please help! This is 38 points for a simple question :(
Answer:
Large scoop holds 48 units.
Step-by-step explanation:
Large: x
Small: .75x = 36
x = 48 units
Type the correct answer in the box. Use numerals instead of words. Use the clues to find the mystery number. It is greater than 37,493. It is less than 37,503. It is an even number. The value of the mystery number rounded to the nearest ten is less than the mystery number. The value of the mystery number rounded to the nearest thousand is greater than the mystery number.
Answer:
37,502
Step-by-step explanation:
With the provided details we have:
Range of number = 37,493 - 37,503
The number is even number
Therefore, possible options are:
37,494
37,496
37,498
37,500
37,502
When number rounded to nearest tens, is less than the original number
Rounding off above numbers to nearest tens we have
37,490
37,500
37,500
37,500
37,500
There is only 2 numbers which full fill the condition of original number number being smaller than the rounded off number.
37,494 and 37,502
The next condition is on rounding to nearest 1,000's
37,494 rounded to 37,000
37,502 rounded to 38,000
Provided that the rounded number in 1000's is more than the original mystery number.
37,000 is less than 37,494 thus not feasible.
38,000 is more than 37,502
This is the mystery number.
Help plsssssssssss T.T
