Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.
What is the unit rate of change of flour (y) with respect to sugar (x)? That is, how much flour corresponds to one cup of sugar?
The unit rate of change is?
Graph the proportional relationship described above, with the x-coordinate representing cups of sugar, and the Y-coordinate representing cups of flour.
PLEASEEEEEE
Answers
the answer is 11/4
The unit rate of change between variables is the quotient between the difference between y-values and the difference between x-values
The unit rate of change is y = 2.25x
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the values of x be set A = { 2 , 3 , 4 }
Let the values of y be set B = { 4 1/2 , 6 3/4 , 9 }
So , the unit rate of change can be calculated by slope and linear equation of line
So , Slope m is
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 6 3/4 - 4 1/2 ) / ( 3 - 2 )
m = 2.25
So , the equation will be y = mx
y = 2.25x
Therefore , the unit rate of change is y = 2.25x
Hence ,
The unit rate of change is y = 2.25x and the graph is shown below
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Related Questions
please helppppppppppppppp fine x its high school geometry
Answers
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.
Write 0.03 as percents.
Answers
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
Given f(x)=-x+6 and g(x) =f(x+3), write an equation for function g.
Answers
Answer:
G(x)=-(x+3)+6
Step-by-step explanation:
f(x) means that whatevers in the parentheses is x. In g(x) x is equal to x+3
Which strategy may enable you to earn an associate's degree while you are
still in high school?
O A. Taking dual enrollment courses
B. Taking AP courses
C. Enrolling in extracurricular activities
O D. Passing the ACT exam
Help ‼️
Answers
ap courses don’t give you credits and neither do extracurriculars or the act
Given the graph below, which of the following statements is true?
Answers
Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .
Find x.
Explain how to find x using trigonometry
Explain how to find x using special right triangles.
Answers
Answer:
6
Step-by-step explanation:
[tex] \cos \: 60 \degree = \frac{3}{x} \\ \\ \frac{1}{2} = \frac{3}{x} \\ \\x = 2 \times 3 \\ \\ x = 6[/tex]
Find the x-intercept and y-intercept
from the following linear equation:
6x – 9y = 54
x - intercept ([?], [])
y - intercept ([],[])
Answers
x= (9,0)
That is the answer to this question I’m just hoping more because they won’t let me submit it if it’s under 20 characteristics
Answer:
X=(9,0)
Y=(0,-6)
Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5? Check all that apply.
Answers
Answer:A D and E
Step-by-step explanation:
Answer:
Step-by-step explanation:
A, D, and E.
Solve for x. answers: A) 4 B) 6 C) 7 D) 5
Answers
Answer:
D) 5
Step-by-step explanation:
The smaller triangle is similar to the big triangle with the big triangle with a scale factor of 1.8.
5x × 1.8 = 45
Divide both sides by 1.8
5x = 25
Divide both sides by 5
x = 5
Solve: 3 In x= In 216
O x= 3
0 x = 6
OX= 72
DONE
ANSWER IS B
X=6
Answers
Answer:
x = 6
Step-by-step explanation:
3 ln x = ln 216
Rewrite 216 as 6^3
3 ln x = ln 6^3
We know that ln a^b = b ln a
3 ln x = 3 ln 6
x = 6
Noah says:
I am thinking of a number,
When I subtract 17 and
multiply the answer by
8, I get 32.
What is Noah's number?
Answers
Explanation:
21 - 17 = 4
4 * 8 = 32
Therefore the number is 21
Answer:
21
Step-by-step explanation:
You subtract 17 (x - 17) and multiply the answer by 8 (8(x - 17)). This is equal to 32. Solve for x
8(x - 17) = 32
8x - 136 = 32
8x = 168
x = 21
Amelia rented a DVD and it was due to be returned on the 26 November she acctually returned it to the shop on the 12 December. The rental shop applies a fine of 9p for everyday the DVD is overdue
Answers
Answer:
144 p
Step-by-step explanation:
It was due to be returned on 26 November but she returned it on 12 December.
She was therefore with it for an extra 16 days.
The fine is 9p per day. Therefore, she will pay a fine of:
9 * 16 = 144 p
Answer:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
Consider the system of equations. y = –5x – 1 y = 2x + 6 Choose the correct answer to each question. What is the slope of the first line? What is the slope of the second line? How many times do the lines intersect? How many solutions does the system have?
Answers
What is the slope of the first line?
✔ –5
What is the slope of the second line?
✔ 2
How many times do the lines intersect?
✔ 1
How many solutions does the system have?
✔ 1
Answer:
Step-by-step explanation:
-5x - 1 = 2x + 6
-7x - 1 = 6
-7x = 7
x = -1
y = -5(-1) - 1 = 5 - 1 = 4
(-1. 4)
first slope: -5
second slope: 2
once
one
What two perfect squares does the square root of 15 fall between?
Answers
Answer:
3 & 4
Step-by-step explanation:
Perfect Squares Squares:
1, 4, 9, 16, 25.
15 is in between 9 and 16 which rooted is 3 and 4 so 15 falls between the perfect squares of 3 and 4. Another answer would be from 1 & 10 but I think it only asks for one answer. If they do, the best answer is between 3 & 4.
Solve log x= 3.
x=3
x= 30
x= 1,000
x= 10,000
Answers
The value of x must be equal to 1000
What is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as
For x > 0 , a > 0, and a ≠1,
y= logₐ x if and only if x = a^y
Then the function is given by
f(x) = logₐx
Given here log x= 3 ⇒x=10³
⇒x=1000
Hence, The value of x must be equal to 1000
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Express 72×12 in the exponential from
Answers
Answer:
72*12 = 2*2*2*2*2*3*3*3 = 2^5*3^3 this is the answer to the equation to express 72×12
Answer:
Step-by-step explanation:
Find the slope of a line through the points (-1,-9) and (4,-2).
Answers
The answer is 7/5
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
UP 7 OVER 5.( FORM POINT ( -1,-9))
Step-by-step explanation:
PLOT BOTH POINTS ON A GRAPH THAN JUST COUNT UP AND THEN OVER TILL YOU MEET THE OTHER POINT
If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).
Answers
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
If the cosine value is 80*, the secant value to the hundredths degree is: 0.98 0.17 5.76
Answers
Work Shown:
sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76
Make sure your calculator is in degree mode.
Which phrase bost describes the translation from the graph y=(x+2)^2 to the graph of
y=x^2 + 3?
Answers
Answer:
C
Step-by-step explanation:
2 units right and 3 units up
Find the solutions to the equation below.
Check all that apply.
2x^2+7x+3=0
O A. X=7
OB. X=4
OC. X=3
OD. X=-1/2
OE. X = 2
OF. X=-3
Answers
If X=4, the answer would be 63
If X=3, the answer would be 42
If X=-1/2, the answer would be 0
If X=2, the answer would be 25
If X=-3, the answer would be 0
Therefore, OD. X=-1/2 and OF X=-3 are the answers that apply
The solutions of the equation 2x²+7x+3=0 are x=-1/2 and x=-3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is 2x²+7x+3=0
Two times of x square plus seven times of x plus three equal to zero is the form of quadratic.
We can solve the quadratic equation 2x²+7x+3=0 using factoring
Let us find two numbers whose product is 2x²+7x+3=0 and
whose sum is 7.
We can see that 2x²+7x+3=0
Let us factor by grouping
2x²+6x+x+3=0
2x(x+3)+(x+3)
=(2x+1)(x+3).
x=-1/2 and x=-3
Therefore, the solutions are x=-3 and x=-1/2.
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How many days are in 6 weeks not including weekends ?
Answers
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
Given the diagram below with line DE║ line AC. Find BC.
Answers
Answer:
13.5
Step-by-step explanation:
In triangle ABC, DE || AC
Therefore by basic proportionality theorem:
[tex] \frac{BD}{DA} = \frac {BE}{EC} \\\\
\therefore \frac{4}{8} = \frac {BE}{9} \\\\
\therefore \frac{1}{2} = \frac {BE}{9} \\\\
\therefore BE = \frac{9}{2} \\\\
\therefore BE = 4.5\\
\because BC = BE + EC \\
\therefore BC = 4.5 + 9\\
\huge \red {\boxed {\therefore BC = 13.5}} \\[/tex]
If h(x) is the inverse of f(x), what is the value of h(f(x))?
N
0
х
f(x)
Answers
Answer:
If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
Step-by-step explanation:
Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain
Option C is correct
I would appreciate it if you marked me brainliest :)
factor x^2 + 12x + 36
Answers
Answer:
(x + 6 )(x + 6 )
2 numbers to add to 12 but also multiply to get 36
Answer:
(x+6)(x+6)
Step-by-step explanation:
x^2 + 12x + 36
What 2 numbers multiply to 36 and add to 12
6*6 =36
6+6 =12
(x+6)(x+6)
If f(x) = 5x + 40, what is f(x) when x = -5?
N
ܩ ܣ
15
Answers
Answer:
15
Step-by-step explanation:
f(x)=5x+40
so f(5)=5(-5)+40
f(5)= -25+40
f(5)=15
Write 3/10 as a division
Answers
Answer:
3 divided by 10.
Step-by-step explanation:
I'm slightly confused as to what you're asking about, but I could only assume that you want me to represent that fraction as a division problem. In that case, I have listed the answer above. If you want it in decimal form, it is 0.3.
Answer:
I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much
2. Solve this problem: There will be 460 people at the sport's award banquet. If each table seats 8 people, how many tables are needed?
A. 3,680 tables
B. 57 tables
C. 58 tables
D. 452 tables
Answers
Answer:
C. 58 tables
Step-by-step explanation:
If there are 460 people, and each table seats 8 people, then we divide 460 by 8, giving us 57.5 tables. We cannot have a half of a table, so the answer is 58 tables.
What steps should be taken to calculate the volume of the prism? Select three options.
24 ft
6 ft
oft
ft
Use the formula A = bh to find the area of the base.
Use the formula A= bh to find the area of the base.
Use the formula V=Bn to find the volume of the prism.
Answers
Answer:
the formula is V=BH
Step-by-step explanation:
if the prism is rectangular prism : it has three dimensions then V=length * height * width
V= L*H*W or V= base*H
or V=BH
in your question it does not show V=BH maybe it is misprint
The volume of the prism is V = Bh , where B is the base area and h is the height of the prism
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.
Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.
Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.
Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.
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Please help with this
Answers
Answer:
D
Step-by-step explanation:
∠ ABC = ∠ ABD + ∠ DBC , that is
85° = ∠ ABD + 61° ( subtract 61° from both sides )
24° = ∠ ABD → D
Answer:
D
Step-by-step explanation: