Answers
Answer:
2y = x + 2
Step-by-step explanation:
Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;
From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:
[tex]m = \frac{dy}{dx} = \frac{1}{2}[/tex]
Joining the points gives a straight line, which means a constant gradient of ¹/₂
Use the line equation formula to get the function:
y - y₁ = m(x - x₁)
m = ¹/₂
x₁ = 0
y₁ = 1
y - 1 = ¹/₂.(x - 0)
y - 1 = ¹/₂.x
2y - 2 = x
2y = x + 2
Related Questions
4.3x - 6 = 8 + 2.3x*
Answers
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Follow the following steps
[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]
Given points A(9,3), B(-3,6), and C(-7,3). Which statement describe the vectors that include these points? Check all that apply
Answers
B C D F are the right answers
Step-by-step explanation:
Answer c,e
Step-by-step explanation: i just did it
Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.
How many toy cars are multicolor?
O 160
O 60
O 180
100
Answers
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
15 + 40 = 55, so 55% of the toy cars are not multicolor.
100 - 55 = 45 so 45% of the toy cars ARE multicolor.
To find what 45% of 400 is, we multiply 400 by 0.45
400*0.45 = 180 so there are 180 multicolor cars.
If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP
Answers
What is the area of this figure?
4 yd
2 yd
2 yd
2 yd
5 yd
5 yd
2 yd
6 yd
Answers
Answer:
4+8+10+6=28
Step-by-step explanation:
what is the x and y intercepts using this equation?
2y + 6 = 0
Answers
Answer:
x is 2 and 6 is y
Step-by-step explanation:
Decrease £2123 by 8%
Answers
2x -14 = -9 answer for this equation
Answers
Answer:the exact form is x=5/2 if its wrong then its probably wrote in a different way
Step-by-step explanation: Move all terms that don't contain
x
to the right side and solve.
Answer:
x= 2.5
Step-by-step explanation:
Simplifying
2x + -14 = -9
Reorder the terms:
-14 + 2x = -9
Solving
-14 + 2x = -9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '14' to each side of the equation.
-14 + 14 + 2x = -9 + 14
Combine like terms: -14 + 14 = 0
0 + 2x = -9 + 14
2x = -9 + 14
Combine like terms: -9 + 14 = 5
2x = 5
Divide each side by '2'.
x = 2.5
Simplifying
x = 2.5
Round 67,891 to the nearest hundred
Answers
Answer:
67,900
Step-by-step explanation:
Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce? Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old is Mrs.Stone now, if 9 years ago Alex was two times okder than Joyce?
Answers
Answer:
54 years
Step-by-step explanation:
Joyce age = x
Alex age = y
3x = 2y - - - (1)
y - 9 = 2(x - 9)
y - 9 = 2x - 18
-9 + 18 = 2x - y
9 = 2x - y
y = 2x - 9 - - (2)
3x = 2y
3x = 2(2x - 9)
3x = 4x - 18
18 = 4x - 3x
18 = x
Hence,
Mrs stone is 3 * 18 = 54 years
Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: thats a tuff one
Step-by-step explanation:
im not sure
The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15
Plz help I’m getting timed
Answers
Hope all is well
through: (3, 5) parallel to y=3x-1
Answers
Answer: y = 3x - 4 will be the parallel line to the line y= 3x -1
Step-by-step explanation:
Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b where m is the slope and b is the
y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.
5= 3(3) + b
5 = 9 + b
-9 -9
b = -4
Since the y intercept is negative 4, the equation will be y = 3x -4
help please im so confused
Answers
Answer:
well figure it out
Step-by-step explanation:
Please help, I have nothing great to offer you though.
Which set of numbers includes only integers?
Answers
Answer
-10,-7,0,98,145
Step-by-step explanation:
Integers are whole numbers negative or positive.
Hope that helped :)
Which graph best represents a system of equations that has no solution?
Answers
Answer:
D, because parallel lines never have a solution.
Step-by-step explanation:
The graphs which show no solution is required.
Option D has no solution.
When a system of linear equations have a solution means that the lines intersect each.
This means for a given [tex]x[/tex] value of both equations there exists the same [tex]y[/tex] value.
Options A, B and C all have lines that intersect each other at some point.
In option D the lines are parallel to each other.
So, option D has no solution.
Learn more:
https://brainly.com/question/15721976?referrer=searchResults
Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?
Answers
same question again. ugh
Answers
Answer:
-3
Step-by-step explanation:
the slope is -3 because it goes down 3 y for every 1 forward on x
Answer:
[tex]m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (1, -3)
Point (-1, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+3}{-1-1}[/tex]Add/Subtract: [tex]m=\frac{6}{-2}[/tex]Divide: [tex]m=-3[/tex]Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;
Answers
i did this last year lol ;-;
The function h(x) is h(x)=5/4 x² - 5/2 x.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)
So, 5=a(-2-0)²+0
5=4a
a=5/4
Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get
f(x)= 5/4 x²
Equation of straight line with coordinates (-2, 5) and (0, 0) is
Slope m=5/2
Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get
0=5/2(0)+c
c=0
Substitute, m=5/2 and c=0 in y=mx+c we get
y=5/2 x
So, g(x)=5/2 x
Now, h(x)=f(x)-g(x)
h(x)=5/4 x² - 5/2 x
h(x)=5/2 x(1/2 x-1)
1) h(x)=0
5/2 x(1/2 x-1) =0
1/2 x-1=0
1/2 x=1
x=2
2) For x=2, h(x) is 0
3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.
To learn more about the quadratic function visit:
https://brainly.com/question/27918223.
#SJ5
15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj
Answers
Answer:
x = −1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Original Equation:
15 + 4x = 12 + x
Subtract x from both sides
15 + 3x = 12
Subtract 15 from both sides
3x = -3
Divide both sides by 3
x = -1
Hope this helps :)
Please consider Brainliest :)
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answers
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
I will make you brainliest if correct. explain how you got it please
Answers
Answer:
Perpendicular
Step-by-step explanation:
Slope of l1=6\9 = 2\3
Slope of l2 =-3\2
perpendicular lines
Answer:
perpendicular
Step-by-step explanation:
l1 slope= 2/3
l2 slope= 3/2
Expand and simplify
(3x + 2)(x - 1)
Answers
I really need this done today please help PLEAASSSEEE
Answers
Answer:
A and C
Step-by-step explanation:
Answer:
If I am correct, the answer is A, C
Step-by-step explanation:
Autumn spent $32 of the $50 in her wallet. Which decimal represents the fraction of the $50 Autumn spent? please answer soon it's midnight and i need sleep
Answers
Answer:
0.64, she spent 64% of her money.
Step-by-step explanation:
A store sells tiles in the shape of a parallelogram. The perimeter of each tile is 37 inches. One side of each tile is 2.5 inches longer than another side. What are the side lengths of the tile? The side lengths of the tile are ___Inches and ___ Inches.
Answers
Answer:
The side lengths of the tile are 8 Inches and 10.5 Inches.
Step-by-step explanation:
Perimeter of a parallelogram = 2(a + b)
Let
a = shorter side
b = longer side
b = a + 2.5 inches
The perimeter of each tile is 37 inches
Perimeter of a parallelogram = 2(a + b)
37 = 2{a + (a + 2.5)}
37 = 2{a + a + 2.5}
37 = 2(2a + 2.5)
37 = 4a + 5
37 - 5 = 4a
32 = 4a
Divide both sides by 4
a = 32/4
= 8
a = 8 inches
b = a + 2.5 inches
= 8 + 2.5
= 10.5 inches
b = 10.5 inches
The side lengths of the tile are 8 Inches and 10.5 Inches.
I need help!!! Question: Elena has a pet parakeet the weighs 6 when measured in one unit and 170 when measured in a different unit.Which measurement is in ounces and which is in grams?
Answers
A gram is smaller than an ounce
Answer:
6 ounces equals to 170 grams
Step-by-step explanation:
Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
Answers
Starts at 6:15
Note: An hour is 60 minutes.
So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.
So the film ended at 8:25.
PLEASE HELP WILL GIVE BRAINLEST
Answers
=√40 = 6.32455 ≈ 6.3
Answer: B ) 6.3
What is y=6/5x+4/5 perpendicular
Answers
Answer:
y=-6/5xStep-by-step explanation: