Complete Question:
A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?
Answer:
If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.
Step-by-step explanation:
Given:
[tex] y = 0.3x - 6 [/tex]
Required:
Find x, if y = -6; -3; and 0.
SOLUTION:
x = the independent variable
y = dependent variable
To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -6 = 0.3x - 6 [/tex]
[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 0 = 0.3x [/tex]
[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 0 = x [/tex]
[tex] x = 0 [/tex]
To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -3 = 0.3x - 6 [/tex]
[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 3 = 0.3x [/tex]
[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] 0 = 0.3x - 6 [/tex]
[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 6 = 0.3x [/tex]
[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 20 = x [/tex]
[tex] x = 20 [/tex]
What is the slope-intercept form of equation of the line with a slope of 3 and y-intercept at origin?
Answer:
y=3x
Step-by-step explanation:
Equation is y=mx+b
Slope is 3/1 or 3x.
Y-intercept is at the origin or (0,0), so you take the y-coordinate.
Plug them into the equation.
y=3x+0 or y=3x
The sum of three consecutive odd integers is-219. What is the first number in the set?
Answer:
-75
Step-by-step explanation:
Let us consider the first odd number to be 'x'.
Thus:
1st odd number: x2nd odd number: x+23rd odd number: x+3According to the question, the sum of these three consecutive ODD numbers should be equal to -219
So,
x + x + 2 + x + 4 = -219
3x + 6 = -219
3x = -225
x = -75
A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.
Answer:
a. A continuous graph
b. a straight line graph with a gentle positive slope
c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line
Step-by-step explanation:
a. A continuous graph
Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous
b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;
i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches
c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;
i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)
ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line
iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight line with a gentle positive slope of 0.2.
Do you like online classes?
Answer:
no its stupid
Step-by-step explanation:
i wanna go back to school
walking at a speed of 12 feet per second. How many feet per hour is this? *
Answer:
43200 feet per hour
Step-by-step explanation:
"One less than the quotient of a number and -5.
Answer:
(x/-5) - 1
"The quotient of a number x and - 5 " x/-5
"one less" means you will subtract 1 from it.
What is an algebraic expression?
an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Example of an algebraic expression
3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising the power, is also an algebraic expression
seven divided by twice a number 7 ÷ 2n or
three times a number decreased by 11 3n - 11
what is the answer
Answer:
not a function
Step-by-step explanation:
Since the x value of 2 goes to two different y values of 5 and 4, this cannot be a function
Abe is going to plant 54 oak trees and 27 pine trees.
Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.
What is the greatest number of trees Abe can have in each row?
Answer: There are 27 trees he can plant in one row. There is one pine tree and 2 oak trees in each row
Step-by-step explanation:
I need help pls , Solve: 5a + 4 = 19
5a+4=19 this is the equation to solve for a 5a=19-4
5a=15
a=15÷3
a=3
HELP ME PLS
GRADES ARE DUE TODAY
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
Drag each value to the correct location on the equation. Each value can be used more than once, but not all values will be used. A jet is flying at 350 miles/hour in still air. It is traveling in the direction of 210°, where 90° represents North. Find the component form of vector r, which represents the jet's motion. -303.11 -175 350 -320.72 210 150 240 r = <__ cos __ , __ sin __> = <__ , __>
Answer:
-303.11 -175
Step-by-step explanation:
The jet has a speed of magnitude 350 miles/hour and travelling in a direction of 210°. Hence the jet can be represented with |r| = 350, θ = 210°.
The component form of the vector has both the x component (horizontal component) and the y component (vertical component) Therefore:
The horizontal component = [tex]r_x=|r|cos\theta=350*cos(210^o)= -303.11[/tex]
The vertical component = [tex]r_y=|r|sin\theta=350*sin(210^o)= -175[/tex]
Answer:
Step-by-step explanation:
(3) An estate was to be divided among five people. The first person received 1/8 of the estate. The next two people each received 1/5 of the estate. The fourth person received 1/10 of the estate. What fractional part of the estate did the last person receive?
Answer:
3/8
Step-by-step explanation:
An estate has to be divided among the 5 persons.
Given that the 1st person received 1/8 of the estate,
the 2nd person received 1/5 of the estate,
the 3rd person received 1/5 of the estate,
and the 4th person received 1/10 of the estate.
Let the 5th person received the x part of the estate.
The sum of all the fractional parts of one estate equals to 1, so
[tex]\frac 1 8+\frac 1 5+\frac 1 5+\frac 1 {10}+x=1[/tex]
[tex]\Rightarrow \frac 5 8 +x =1[/tex]
[tex]\Rightarrow x =1-\frac 5 8 =\frac 3 8.[/tex]
Hence, the last person received 3/8 of the estate.
A 24-roll package of toilet paper is $14.88. If the price per roll stays the same, what would be the price of a ten-roll package?
Answer:
Step-by-step explanation:
The equation y = -3x + 5 represents a ____ function. The -3 represents the ____ of the line. This means that the slope is _____ . The 5 in the equation represents the ____ of the line. This is where the graph crosses the ____ axis.
Answer:
Step-by-step explanation:
The equation y = -3x + 5 represents a linear function. The -3 represents the slope of the line. This means that the slope is -3 . The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y-axis.
Compare the original equation with the standard form to get all the values.
[tex]y=-3x+5\\y=mx+c[/tex]
If we compare m= -3 and c=+5 where m is the slope/gradient and c is the y-intercept.
The equation y = -3x + 5 represents a Linear function. The -3 represents the slope of the line. This means that the slope is -3. The 5 in the equation represents the y-intercept of the line. This is where the graph crosses the y axis.
What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. So the way to describe linear functions is that for any given change in x, the change in y will always be the same value.Therefore,
Compare the original equation with the standard form to get all the values.
y = -3x + 5
y = mx +c
If we compare m = -3 and c = 5 where m is the slope/gradient and c is the y-intercept.
To learn more about Linear function, refer to:
https://brainly.com/question/15602982
#SPJ2
Can someone please help me out ?
Answer:
the correct answer is D.
Answer:
-.25 + 2 keep adding a number to -.25 and youll figure it out, also without the x itll need 8.25 more to equal 10 or more to get past 10.
Step-by-step explanation:
I need help if you can.
Answer:
I cant see the equation that well, but i got 5/16
Step-by-step explanation:
Hope this helps!
Answer:
I got C) 1 and 1/4
Step-by-step explanation:
-0.5 + 0.75 = 0.25
1/5 = 0.20
0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.
0.25 divided by 0.20 = 1.25
√64
A. 4√2
B. 8
Which one?
Answer:
Its B.
Step-by-step explanation:
If its right plz give me Brainliest :)
Answer:
√64 = 8
Step-by-step explanation:
The Square root of 64 is 8
Square of ( +/-8) is 64. Since the negative numbers inside square root results in an imaginary number, so the square root must be positive and hence +8 is a square root of 64. The Answer is 8.
What is the simplest radical form of the square root of 64?
The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.
-2 (3x - 6) + 4 (5x - 8) = 92
Answer: x=7
Step-by-step explanation:
El dueño de una cafeteria contrata dos
empleadas para la atencion de las mesos.
A la primera, que trabaja 8 horas diarias, le
paga $100.000 cada 6 dias; a la segunda, que
trabaja 12 horas diarias, le paga $200.0oo.
si el precio de una hora de trabajo es el
mismo para ambas, a ¿Cada cuantos dias le
paga a la Segunda empleada?
Write an equation for the line that passes through the given point and is parallel to the
graph of the given equation. Write your final equation in slope-intercept form.
2. 3x + 4y = 12; (-4,7)
What’s the answer
Apparently didn’t paid attention in class
This equation can be written as :-
= 6 + 4x = x + 15
= 4x+6=x+15
= 4x + 6 − x = x + 15 − x
= 3x + 6 = 15
= 3x + 6 − 6 = 15 − 6
= 3x = 9
= 3 x 3 = 9
= x = 9 ÷ 3
= x = 3
Using this , let us solve the equation :-
= 6 + 4 × 3 = 3 + 15
= 6 + 12 = 3 + 15
= 18 = 18
Therefore , 6 + 4x = x + 15 = 18 ( x = 3 ) .
6/8 time is twice as fast as 3/4
True or False
Answer:
False
Step-by-step explanation:
Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.
Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.
To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).
Answer:
False
Step-by-step explanation:
image.......................
Answer:
10.75
Step-by-step explanation:
The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.
Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
so, a childs ticket is 4.75
now to find the cost of an adult ticket you add 6,
4.75 + 6
= 10.75
Select the correct answer.
Which of these graphs represents a function?
Question:
Select the correct answer.
Which of these graphs represents a function?
Answer:
B. X
Explanation:
D. Z is not the answer
Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.
Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.
Answer:
C = t * 3
Step-by-step explanation:
how to find the sequence
X. Y
0. 0
1. 1.5
2. 4
3. 7.5
4. 12
Answer:
they add one half to each number
Which of the following is equal to 10-5?
1
105
0.00001
1
10-5
1
100,000
16
10
Answer:
Step-by-step explanation:
[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100000}=0.00001[/tex]
Answer: 0.00001
[tex]10^{-5}[/tex] = [tex]\frac{1}{10^{-5} }[/tex] = 1 over 100,000.
100,000 = 0.00001
Hope this helps you!
Pls pls Pls pls pls helpppp meee asappppp i will give BRAINLIEST!!!!!!
Answer:
27ft
Step-by-step explanation:
Answer:
its simple you will need 5ft of carpet
Step-by-step explanation:
Enter the correct value so that each expression is a perfect-square trinomial. x2 + 1/2 x +
Answer: 1/16
Step-by-step explanation:
edge2020
Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation: