Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Step-by-step explanation:
We have,
Slope (m) = -3y-intercept (c) = 4We know that,
y = mx+c
y = -3x+4
Hence, option (D) is correct.
Five people, each working 8 hours a day, can assemble 400 toys in a 5-day work week. What is the average number of toys
assembled per hour, per person?
A 2
B 4
C 8
D 16
Answer:
A. 2
Step-by-step explanation:
First divide the 400 toys by the 5 people to see how many each did:
400 toys/5 people = 80 toys/person
Next let's see how many hours were worked by multiplying the hours per day by the number of days worked:
5 days x 8 hours/day
40 hours
Now to find how many toys were assembled per hour per person, let's divide the toys/person by the number of hours they each worked:
[tex]\frac{80 toys/person}{40 hours}[/tex]=2 toys/person/hour
The average number of toys per person per hour is 2.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
Total number of toys assembled = 400
Total days of work = 5
Each person work daily for = 8 hrs
Total number of people = 5
Then, the total toys assembled per day
400/5= 80
The number of hours worked by the 5 workers per day = 8 × 5= 40
So, the number of toys assembled per person per hour = 80 / 40= 2
Hence, the average number of toys per person per hour is 2.
Learn more about Ratio here:
brainly.com/question/1504221
#SPJ5
Simplify the expression to yield a quadratic trinomial in standard form.
6x(x-4)-(3x− 2)
Step-by-step explanation:
6x² - 24x - 3x + 2
6x² - 27x + 2
Solve the system of equations using subtraction.
4x - 2y = 10
4x + y = 19
Answer:
y=3 x=4
Step-by-step explanation:
4x - 2y = 10
4x + y = 19
-3y=-9
the 4x canceled out.
y=3
plug in y into one of the equations
4x + 3 = 19
4x=16
x=4
Hope this helps!
If not, I am sorry.
Answer:
(4, 3 )
Step-by-step explanation:
4x - 2y = 10 → (1)
4x + y = 19 → (2)
subtract (1) from (2) term by term
(4x - 4x) +y - (- 2y) = 19 - 10
0 + y + 2y = 9
3y = 9 ( divide both sides by 3 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
4x + 3 = 19 ( subtract 3 from both sides )
4x = 16 ( divide both sides by 4 )
x = 4
solution is (4, 3 )
Write 0.15 as a fraction in the simplest form.
Answer:
3/20
Step-by-step explanation:
0.15 = 15/100
This is not simplified though :
15/100 ÷ 5/5 = 3/20
This is simplified
Hope this helped and brainliest please.
What kind of relationship is expressed below?
5x+3=7
a. equation
b. function
c. inequality
Answer:
a. equation
Step-by-step explanation:
The LHS is equal to the RHS
Two or more expressions with an Equal sign is called as Equation. Hence Equation is the relationship of 5x+3=7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given is 5x+3=7
It is a equation because the left hand side is equal to the RHS side
It has a equal sign.
Where as in expressions there will be no equal sign.
Expression has only numbers, operators and variables.
5x+3=7 is not a function as it has no y variable or other variable.
Hence equation is the relationship of 5x+3=7.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25
Answer:
C 17.25
Step-by-step explanation:
i think aanswer its c
Question 9 of 10
If you vertically compress the absolute value parent function, F(x) = |x|, by
multiplying by 3/4 what is the equation of the new function?
A: G(x)= |x+3/4|
B: G(x)= 3/4 |x|
C: G(x)= |x|-3/4
D: G(x)= |3/4 x|
Answer:
B. g(x) = 3/4|x|
Step-by-step explanation:
Multiplying the function by a number in front will stretch, compress, and/or reflect the function over the x-axis.
So if the number in front is negative that will flip it upside down, over the x-axis.
If the number is greater than 1, the function will be vertically stretched, narrower, slimmer, skinnier, taller.
In this case, the graph is vertically compressed, making it flatter, fatter, wider smashed. In this case is where the number multiplied in front of the parent function is LESS than one.
g(x) = 3/4 |x|
What is the probability of a flowering plant bearing flowers in january if it is a tulip? a. 68% b. 72% c. 76% d. insufficient data
The probability of a flowering plant bearing flowers in January if it is a tulip is 68%.
How to find the Probability?
From the attached table, we see the respective probabilities of each flower bearing flowers in January as;
Tulip = 68%
Anemon = 81%
Manzanita = 77%
Peony = 70%
Fuschia Flowering currant = 74%
Total = 76%
Thus, it is clear that the probability of a flowering plant bearing flowers in January if it is a tulip is 68%.
Read more about Probability at; https://brainly.com/question/2612152
#SPJ1
Answer: insufficient data
Step-by-step explanation: Plato 100% right
Can someone help me with this please
Answer:
D
Step-by-step explanation:
A function input can only have ONE output value
so the number 5 can't output two different numbers
Represent each cylinder as a net. Find the surface area of each cylinder.
Answer:
113.04m^2
Step-by-step explanation:
Surface area for Base and top
[tex]2*\pi d=2*3.14*4=25.12[/tex]
Surface area for the other part
[tex]\pi d*h = 12.56*7 = 87.92[/tex]
you will get
113.04m^2
Evaluate the expression below when x = 3 54 ÷ 2•3-x²
Answer:
72
Step-by-step explanation:
54/2(3)−3^2
= 54/2(3)−3^2
=72
Estimate the amount of time she spent at ballet to the nearest hour
The amount of time that Lila spent at Yoga and Ballet are approximately equal to 26 hours and 13 hours respectively.
How to calculate the time spent?First of all, we would calculate the amount of time that Lila spent at Yoga by multiplying the total time spent by the percentage of time spent on Yoga as follows:
Yoga time = 92 × 28/100
Yoga time = 92 × 0.28
Yoga time = 25.76 ≈ 26 hours.
Part B.Next, we would calculate the amount of time that Lila spent at Ballet by multiplying the total time spent by the percentage of time spent on Ballet as follows:
Ballet time = 92 × 14/100
Ballet time = 92 × 0.14
Ballet time = 12.88 ≈ 13 hours.
Read more on circle graph here: https://brainly.com/question/23608372
#SPJ1
Complete Question:
The circle graph shows how Lila spent her after-school time during the month of October. Lila’s Activities Part A If Lila spent a total of 92 hours on these activities in the month of October, estimate the amount of time she spent at Yoga, to the nearest hour.
Part B. Estimate the amount of time she spent at Ballet, to the nearest hour.
The simplified ratio of 32/12 is:
Answer:
8/3
Divide both sides by the GCF, 4.
32 ÷ 4 = 8
12 ÷ 4 = 3
Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5
A)
6 < y ≤ 32
B)
–8 < y ≤ 8
C)
–8 ≤ y ≤ 8
D)
6 ≤ y ≤ 32
Which statement best describes the function? Help. Please
The correct answer is option c. Which is the function is increasing when x is greater than zero.
What is a function?A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
In the graph, we can see that at the origin the graph becomes zero. When the graph proceeds rightwards the value of the function is increasing as the value of x is increasing.
Therefore the correct answer is option c. Which is the function is increasing when x is greater than zero.
To know more about function follow
https://brainly.com/question/2833285
#SPJ1
What is x in the figure?
im not sure I'd need to see the figure
Describe a situation that can be represented by an equation and a situation that can be represented by an inequality. What features determine how the situation should be represented?
The inequality sign can be used when referring to two quantities that are not the same size.
What is an inequality?An inequality is used to express a condition whereby the two quantities are not the same.
For instance, if we have the same number of students inside and outside a classroom, we can use the equality sign. In a case where we do not have the same number of students inside and outside the classroom, we can use the inequality sign.
Learn more about inequality:https://brainly.com/question/20383699
#SPJ1
Suppose that the water level of a river is 4 feet and is increasing at a rate of 0.15 foot per day. Write the
variable expression to represent the depth of the river in terms of d, the number of days.
Answer:
The answer would be 4+0.15d.
Step-by-step explanation:
I hope this helps! :) I am so sorry if this is not right!
James surveyed 120 voters at random out of 12,600
registered voters in his town. based on the results of the
survey, what is the total number of registered voters
expected to vote for miss frizzle in the upcoming election
The expected number of votes for Miss Frizzle in the election is 4725
How to determine the expected number of votes for Miss Frizzle?The data that completes the question is as follows:
Miss Frizzle = 45
Miss Reynolds = 75
The expected number of votes for Frizzle is:
Frizzle = 45/120 * 12600
Evaluate
Frizzle = 4725
Hence, the expected number of votes for Miss Frizzle in the election is 4725
Read more about expected values at:
https://brainly.com/question/15858152
#SPJ1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the graph of the function . f(x) = ln x
Answer:
Behold! Try using Desmos or something
#PlatoAccuracyMatters
#WhaddyaMeanPlatoLives?
Step-by-step explanation:
The functions and their matching properties are:
[tex]h(x) = f(x - \frac{1}{2}) \to[/tex] x-intercept at (1.5,0)[tex]j(x) = f(x) - \frac{1}{2} \to[/tex] vertical asymptote x = 0[tex]g(x) = -\frac 12f(x - 2) \to[/tex] function decreases as x increasesHow to match the functions with their properties?To do this, we start by plotting the graphs of the functions h(x), j(x) and g(x)
Next, we list out the properties from the graphs
From the graphs of the functions (see attachment), we have the following highlights:
[tex]h(x) = f(x - \frac{1}{2})[/tex] has an x-intercept of (1.5,0)[tex]j(x) = f(x) - \frac{1}{2}[/tex] has a vertical asymptote of x = 0The function [tex]g(x) = -\frac 12f(x - 2)[/tex] decreases as x increasesRead more about functions at:
https://brainly.com/question/1851758
#SPJ1
B. Solve the following inequalities and graph their solution sets. Use red or blue marker and ruler for the graph. 1. 3x-7 ≤ 5 Solution:
Answer:
[tex]3x \leqslant 5 + 7 \\ 3x \leqslant 12 \\ x \leqslant 4[/tex]
Step-by-step explanation:
hope it helps
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.
Answer:
(a) (i) y-intercept = 3
(ii) Represents that the team won 3 matches without any practice.
(b) (i) Equation: y = 1.8x + 3,
(ii) 26 matches won
The approximate y-intercept can be determined by seeing when the best fit line crosses the y axis.
Part AHere the best line crosses the y-axis when y = 3. So coordinates: (0, 3)
Part BTake two best points touching the line: (0,3), (5, 12)
[tex]\sf slope \ (m) = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{12-3}{5-0} = 1.8[/tex]
Equation:
y - y₁ = m(x - x₁)
y - 3 = 1.8(x - 0)
y = 1.8x + 3
So, after 13 months of practice: y = 1.8(13) + 3 = 26.4 ≈ 26 matches won.
#1
The y intercept should represent how much matches the team won without practice
Here its 3
(0,3)#2
(0,3)(5,12)Slope
m=12-3/5m=9/5Equation in point slope form
y-3=9/5xy=9/5x+3After 13 months
y=9/5(13)+3=117/5+3Approximately 26matches
evaluate the expression and enter your answer in the box below |98|
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to evaluate [tex]\pmb{|98|}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
The notation |x| denotes absolute value.The absolute value of a number is its distance from zero.
Absolute value is always positive; distances can't be negative, right?
So we need to find the absolute value of 98, which is:
[tex]\star~\star\mathrm{98}~\star~\star[/tex]
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Working alone, steve can complete a task in 6 hours. working simultaneously at their respective constant rates, he and mike can complete the same task in 4 hours. how long will it take mike working alone to complete the task
Answer:
It would take him 4 hrs.
Step-by-step explanation:
Hope this helps!
Time taken by mike alone to finish the Task is 12 hours.
steve can complete a task in 6 hours.
he and mike can complete the same task in 4 hours.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Rate of steve finishing task per hour = 1/6
Rate at which both finishes the task per hour = 1/4
Rate at which mike finishes the task per hour = M
now
M = 1/4-1/6
M = 3-2/12
M = 1/12
here, mike finishes his task at 12 hours
Thus, Time taken by mike alone to finish the Task is 12 hours.
Learn more about rate of change here: https://brainly.com/question/13103052
#SPJ2
In each problem below, find the total area of the shaded regions.
Thanks!
The area of the shaded region = area of semicircle - area of triangle ACB = 11.32 cm².
What is the Area of a Semi-circle and Triangle?Area of a triangle = 1/2(base)(height).
Area of a semi-circle = 1/2(πr²).
m∠ACB is a right triangle based on the central angle theorem. Therefore, ΔACB is a right triangle.
Radius of circle = OC = 4 cm
CB = 4 cm
Diameter AB = 2(4) = 8 cm
Using the Pythagorean theorem, find AC in ΔACB:
AC = √(AB² - CB²)
AC = √(8² - 4²)
AC ≈ 6.9 cm
Area of ΔACB = 1/2(CB)(AC)
Area of ΔACB = 1/2(4)(6.9)
Area of ΔACB ≈ 13.8 cm²
Area of semicircle = 1/2(πr²) = 1/2(π)(4²)
Area of semicircle ≈ 25.12 cm²
Area of the shaded region = area of semicircle - area of triangle ACB = 25.12 - 13.8
Area of the shaded region = 11.32 cm²
Learn more about the area of semicircle and triangle on:
https://brainly.com/question/14711792
#SPJ1
Step 5: to isolate x, multiply both sides by:
To isolate x , multiply both the sides by ( 5/23 )
What is an Equation ?An equation is formed when two algebraic expressions are equated using an equal sign.
The given equation is
(3/5)(x-10) = 18-4x-1
(3/5)x - 6 = 18-4x-1
(3/5)x - 6 = 17-4x
(3/5)x = 23 -4x
(23/5)x = 23
Step 5 says To isolate x , multiply both the sides by (5/23)
x = 5
To know more about Equation
https://brainly.com/question/10413253
#SPJ1
what is the volume of a cube if the diagonal of one side is 5sqrt(2)
Must include diagram
The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
What is a square?A square is a shape with 4 sides
Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;
x² + x² = (5√2)²
2x² = 25(2)
x² = 25
x = 5 units
Determine the volume
V = x³
V = 5³
V = 125 cubic units
Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units
Learn more on volume of cube here: https://brainly.com/question/1972490
#SPJ1
PLEASE HELP ILL MAKE YOU THE BRAINIEST
Find the value of x
Answer:
12.04
Step-by-step explanation:
add 8 and 9 by the power of two: 8^2+9^2
that equals to 145
find the square root of 145 and that equals to 12.04
Which equation can be used to solve for x in the following diagram?
The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.
What are Complementary Angles?Angles that give a sum of 90 degrees when added are referred to as complementary angles.
The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).
Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.
Learn more about complementary angles on:
https://brainly.com/question/16281260
#SPJ1
Jamie had seven posters, but only three could fit on his closet door. How many different ways can he arrange the three posters out of the seven on his closet door?
A. 52.5
B. 210
C. 1260
D. 5,040
Explanation:
Jamie has 7 choices for the first slot, then 6 choices for the next, and 5 choices for the final slot. Order matters. He has 7*6*5 = 210 permutations.
Alternatively you can use the nPr permutation formula with n = 7 and r = 3.
That formula is
[tex]nPr = \frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate factorials. For instance, 4! = 4*3*2*1 = 24.
Answer:
B. 210 is correct!
Step-by-step explanation:
I got it correct on the quiz.