A car is said to get 25 miles per gallon on a highway, but this value can fluctuate by 6 miles per gallon, at most. Which of the following absolute value inequalities matches this scenario?
Question 1 options:
A)
|x + 25| > 6
B)
|x – 25| ≤ 6
C)
|x + 25| ≤ 6
D)
|x – 6| > 25
Answer:
|x – 25| ≤ 6
Step-by-step explanation:
Given:
Car run per gallon = 25 miles per gallon
Fluctuate value = 6 miles per gallon
Find:
Equation
Computation:
x ≤ 25 ± 6
|x – 25| ≤ 6
Answer: x-25[<6
by-step explanation:
find the equation
y=4x-7 is this function or non function
Answer:
your equation is:
4x - y = 7
Step-by-step explanation:
Algebra: Graphs, graphing equations and inequalities
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Question 272643: The problem is: 4x - y =7
I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.
(Scroll Down for Answer!)
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Answer by Theo(11118) About Me (Show Source):
You can put this solution on YOUR website!
a linear equation is an equation in which the highest order of exponent is 1.
your equation is:
4x - y = 7
it's a linear equation.
none of the variables has an exponent larger than 1.
x = x^1
y = y^1
to find your ordered pairs, just take 3 values for x at random and plug them into the equation.
let x = 1,2,3
your equation is:
4x - y = 7
if you solve for y, it makes it easier to find the y value given the x value.
solve for y to get:
y = 4x - 7
when x = 1, y = -3
when x = 2, y = 1
when x = 3, y = 5
placing the equation into this form also allows you to graph it.
placing the equation into this form also gives you the slope-intercept form of the equation.
what you started with was the standard form of the equation for a straight line.
that standard form is ax + by = c
your equation is:
4x - y = 7
a = 4 and b = -1
the slope intercept form of the equation of a straight line is y = mx + b
m is the slope and b is the y intercept.
when you solved for y, you placed the equation into this form.
your slope is 4
your y intercept is -7
graph of your equation looks like this:
Click here to see ALL problems on Graphs
Question 272643: The problem is: 4x - y =7
I need to determine if it is a linear equation or not. i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation.
(Scroll Down for Answer!)
Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!
OR get immediate PAID help on:
Type Your Question
Go!!!
Answer by Theo(11118) About Me (Show Source):
You can put this solution on YOUR website!
a linear equation is an equation in which the highest order of exponent is 1.
your equation is:
4x - y = 7
it's a linear equation.
none of the variables has an exponent larger than 1.
x = x^1
y = y^1
to find your ordered pairs, just take 3 values for x at random and plug them into the equation.
let x = 1,2,3
your equation is:
4x - y = 7
if you solve for y, it makes it easier to find the y value given the x value.
solve for y to get:
y = 4x - 7
when x = 1, y = -3
when x = 2, y = 1
when x = 3, y = 5
placing the equation into this form also allows you to graph it.
placing the equation into this form also gives you the slope-intercept form of the equation.
what you started with was the standard form of the equation for a straight line.
that standard form is ax + by = c
your equation is:
4x - y = 7
a = 4 and b = -1
the slope intercept form of the equation of a straight line is y = mx + b
m is the slope and b is the y intercept.
when you solved for y, you placed the equation into this form.
your slope is 4
your y intercept is -7
graph of your equation looks like this:
graph%28600%2C600%2C-1%2C4%2C-10%2C10%2C4x-7%2C-3%2C1%2C5%29
I placed horizontal lines at y = -3, 1, 5.
If you trace a vertical line down from the intersections of those lines with the line created by your equation, you will see that the value of x at those intersection points is 1,2,3
the points on the line formed by your equation are:
(x1,y1) = (1,-3)
(x2,y2) = (2,1)
(x3,y3) = (3,5)
you can take any other values of x and find the corresponding value of y by just replacing x in the equation with the value of x.
the equation is y = 4x - 7
when x = 5, y = 20-7 = 13, etc. brainlest pls
Alex asked her friend Beau to bring his robots to the fair. Guests can buy tickets to play with the robots. Beau needs to rope off an area to the fair grounds keep his robots in sight. Read his notes.
The area should be rectangular.
It needs to more then 100 feet long and less then 100 feet wide
The area needs to be between 7,500 and 10,000 square feet
Answer:
length = 100< l > 150
breadth = 50 < b> 100
Step-by-step explanation:
The area of the rectangle is given by the formula
Area= Length * Breadth
A= L*B
Suppose both the length and the breadth are 100 feet then the area would become
A= 100*100= 10,000 square feet.
The length and the breadth of the square are equal in size and we dont need a square we need a rectangle therefore these values cannot be inclusive for lenght and breadth.
It is given that the length is longer than 100 feet and breadth is shorter than 100 feet.Therefore
length can be 110 feet and breadth 90 feet
Again the area = A= l*b = 110 *90= 9,900 square feet.
Similarly putting different value from 50 to 150 feet for breadth and length we can obtain different results .
Area = l*b = 150*50 = 7500 square feet
for all values of the length between 100 to 150 feet and for breadth 50- 100 feet we can have the values of the area between 7500 to 10,000 square feet.
length = 100< l > 150
breadth = 50 < b> 100
A peristaltic pump delivers a unit flow (Q1) of a highly viscous fluid. The network is depicted in Fig. P9.14. Every pipe section has the same length and diameter. The mass and mechanical energy balance can be simplified to obtain the flows in every pipe. Solve the following system of equations to obtain the flow in every stream.
Q3 + 2Q4 - 2Q2 = 0
Q5 + 2Q6 - 2Q4 = 0
3Q7 - 2Q6 = 0
Q1 = Q2 + Q3
Q3 = Q4 + Q5
Q5 = Q6 + Q7
Answer:
hello your question has some missing parts attached below is the missing part
answer : Q = A/BQ = 0.5059 0.4941 0.2588 0.2353 0.1412 0.0941
Step-by-step explanation:
Attached below is the detailed solution
resolved using MATLAB to determine the flow in every stream
For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0 x 5?
Answer:
The correct answer is true because functions are exponential. (2,3)
The pair of functions that satisfies your question is y = 2x 2 and y = 2 x.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Interval= 0 x 5
Now,
The exponential function is growing faster than the quadratic function over the interval 0 x 5, because it is above it for most of the interval.
Here is a table of values for these functions:
x y = 2x 2 y = 2 x
0 0 1
1 2 2
2 8 4
3 18 8
4 32 16
5 50 32
The y-values for the exponential function are larger than the y-values for the quadratic function for all x-values except x = 0.
Therefore, by the function the answer will be y = 2x 2 and y = 2 x.
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A scale drawing of a boat is 15 centimeters long. If the drawing uses a scale of 1 centimeter = 1.5 feet, how long many feet long is the actual boat?
Answer:
22.5 ft
Step-by-step explanation:
1/1.5=15/x
cross multiply and solve
22.5
PLZ HELP ME WITH MY HW????
Answer:
alam ko sagot pero mataas
in the first week of July, a record 1,040 people went to the local swimming pool. In the
second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more
people went to the pool than in the second week. In the fourth week, 290 fewer people went to the
pool than in the third week. What is the percent decrease in the number of people who went to the
pool over these four weeks?
Answer: 25%
Step-by-step explanation:
First week of July = 1040 people
Fourth week of July = 1040- 100 + 130 - 290 = 780
The number of people that went to the swimming pool in 1st week was 1040 while the 4th week had 780. The percentage decrease will be:
= (1040 - 780) / 1040 × 100
= (260 / 1040) × 100
= 0.25 × 100
= 25%
Bob 's daily commute time is randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes, and the most common length is 30 minutes. What is the probability that his commute today took more than 35 minutes?
Answer:
0.6341 = 63.41% probability that his commute today took more than 35 minutes
Step-by-step explanation:
Randomly distributed = Uniform distribution.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes.
This means that [tex]a = 20, b = 61[/tex].
What is the probability that his commute today took more than 35 minutes?
[tex]P(X > 35) = \frac{61 - 35}{61 - 20} = 0.6341[/tex]
0.6341 = 63.41% probability that his commute today took more than 35 minutes
I NEED HELP please! I literally don’t understand
Answer:
length = 7 in
width = 42 in
Step-by-step explanation:
length = x
width = 6x
perimeter = 98 in
[tex]2(x) + 2(6x) = 98 \\ 2x + 12x = 98 \\ 14x = 98 \\ x = \frac{98}{14} \\ x = 7[/tex]
length = x = 7 in
width = 6x = 6(7) = 42 in
So far you have completed 816 miles
which is 43% of the trail.
Can you find about how many miles for the total trip?
Total Distance
Answer: 1898 miles
Step-by-step explanation:
Let the total distance of the trail be represented by x.
We are informed that 43% of the trail has been completed which is 816 miles, the total miles will then be:
43% × x = 816
43/100 × x = 816
0.43 × x = 816
0.43x = 816
x = 816/0.43
x = 1897.67
x = 1898 miles approximately
The total trip is 1898 miles
teresa says the two expressions below are equivalent: 2(5x-3) + 6x and 16x -3 is teresa correct? Explain why or why not
Answer:
No.
Step-by-step explanation:
2(5x-3) + 6x is equal to 16x-6:
Distribute:
=(2)(5x)+(2)(−3)+6x
=10x+−6+6x
Combine Like Terms:
=10x+−6+6x
=(10x+6x)+(−6)
=16x+−6,
Which is not equal to 16x-3
Analyzing cofunctions consider LMN
Answer:
EREREREREREEE TE RWRWRERE TE J
help asap
Han ran 10 meters in 2.7 seconds. At this rate how long would it
take him to run 50 meters?
30.5 seconds
6
13.5 seconds
2.7 seconds
D.
12 seconds
Select the correct answer. Which relation is a function?
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
2x/3 divided by 3x/2 if x does not equal 0
The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x/3 ÷ 3x/2 when x ≠ 0.
This can be written as,
= (2x/3) x (2/3x)
= 2/3 x 2/3
= 4/9
Thus,
The value of the expression is 4/9.
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seven less than 50 times a number *
Answer:
50x - 7
Step-by-step explanation:
a number: x
50 times a number: 50x
7 less than 50 times a number: 50x - 7
Elke lives mile from 1/10school. Haresh lives 2/3 mile from school.
How much closer to school does Elke live than Haresh?
Simplify the answer if possible.
Answer: 17/30
Step-by-step explanation:
From the question, Elke lives 1/10 mile from school while Haresh lives 2/3 mile from school.
The closer to school Elke is than Haresh will be:
= 2/3 - 1/10
We can change the fractions to have thesame denominator which will be:
= 2/3 - 1/10
= 20/30 - 3/30
= 17/30
The distance between them is 17/30 miles
nina ran 2.5 miles in 20 minutes at the same pace how long would it take her to run 6 miles
Answer:
48 minutes
Step-by-step explanation:
first divide 6 miles by 2.5 miles, that will be 2.4 miles, then multiply by 20
Answer:
for 6 miles,it would take 48 minutes
Step-by-step explanation:
2.5 : 20
so
5 : 40
8 min for 1 mile
so
6 : 48
can someone please help me figure this out
Answer:
32/40
Step-by-step explanation:
1: Sin= Soh
Soh= Opposite over Hypotenuse
2. A's opposite is 32
3. A's Hypotenuse is 40
4. A = 32/40
A clothing store marked all of their summer clothing down 50%. A sign in the store indicates that an additional 20% is to be taken off the clearance prices. What is the final price of a top that originally sold for $58?
Answer:
17.04$
Step-by-step explanation:
Follow the steps and write the equation represented by this graph.
Step 1: Write the general equation.
Step 2: Identify b, the Y intercept (x = 0) b=
Step 3: The second point from graph (x, y) P=
,
Step 4: Define m as ratio of rise / run m = rise /
Step 5: Put coordinates into ratio and get (7 -
) / (
- 0)
Step 6: Perform subtraction; get slope
/ 1
Step 7: Substitute values into y = mx + b
Step 8: Write answer y =
x +
Answer:
y = 4x + 3
Step-by-step explanation:
Step 1: Write the general equation
y = mx + b
Step 2: Identify b, the Y intercept (x = 0)
b is the value of y when x = 0.
From the graph, when x = 0, y = 3.
Therefore, b = 3
Step 3: The second point from graph (x, y):
P = (1, 7)
Step 4: Define m as ratio of rise / run:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Step 5: Put coordinates into ratio:
Using the two coordinates, (0, 3) and (1, 7), we would have,
[tex] m = \frac{7 - 3}{1 - 0} [/tex]
Step 6: Perform subtraction to get slope:
[tex] m = \frac{4}{1} [/tex]
m = 4
Step 7: Substitute values into y = mx + b:
Thus, plug in the values of m and b into the slope-intercept equation.
b = 3, m = 4, therefore:
y = (4)x + (3)
Step 8: Write answer:
y = 4x + 3
What is the slope of the line represented by the equation 2x+3y= –12 ?
–32
–23
23
32
Answer:
-2/3
Step-by-step explanation:
i took the quiz on k12
Jeremy is building a ramp to the entrance of a school. If the ramp needs to vertically rise 6 ft
Answer:
The height is 6 feet, and the length of the ramp is the hypotenuse of a right triangle with angle 28 degrees with the ground
Step-by-step explanation:sin
28=6/x
x*sin 28=6
x=6/sin 28=12.78 ft.
Help Plz!!!!!!!! I need help immediately
Answer: A
Step-by-step explanation: i hope this helps
Emiliana runs a restaurant that receives a shipment of 505050 tangerines every day. According to the supplier, approximately 12\, percent of the population of these tangerines is overripe. Suppose that Emiliana calculates the daily proportion of overripe tangerines in her sample of 505050. We can assume the supplier's claim is true, and that the tangerines each day represent a random sample. What will be the shape of the sampling distribution of the daily proportions of overripe tangerines
Answer:
skewed to the right
Step-by-step explanation:
1.8 (x – 6) = 36
I need this fast. I think it’s 26... (x=26) but it says I’m wrong.. Help please!!!!
Answer:
26
Step-by-step explanation
You're right about it being 26
Answer:
Umm I think it has to be like this first 1.8 x x is 1.8x and 1.8 x 6 is 10.8 and 36 so now I gonna do 1.8x is 36-10.8 is 25.2 and 1.8x / 25.2 is 14 so x is 14
Find the measure of one interior angle in each regular polygon. Plz
Answer:
108°
Step-by-step explanation:
If regular polygon has n sides, then each interior angle = 180° - (360/n)°.
When n = 5, interior angle = 180° - (360/5)° = 108°
Combine like terms to simplify the expression below 5y - 8x - y + 12x
Answer:
4x + 4y
Step-by-step explanation:
5y - 8x - y + 12x
4y + 4x
Answer:
4y + 4x
Step-by-step explanation:
There are 4 terms in the equation 5y - 8x - y + 12x: 5y, -8x, -y, and 12x. WE have to add like terms to make a simplified equation. 5y and -y are alike, as are -8x and 12x. Subtract 1y from 5y to get 4y. Add 12x to -8x to get +4x. As a result, the expression becomes 4y + 4x.
(he was flunking school to get out of school plus he worked at kfc and loved his job, during the 11th grade btw)
summerize this:
I didn’t know what I was doing or what I believed in, except the United States of America and the Cleveland Browns. Sometimes, to break my addiction to the tube[1], I spent the night in a derelict shed with mushrooms growing from the rafter boards. Back-yard rehab. I used to read in there, or, anyway, swing my eyes over the pages of library books: “Out of Africa” (the girl I was in love with loved the move); Donal Trump’s autobiography; Kierkegaard; “Leaves of Grass”; a book about how to make a robot from an eight-track player. As long as nobody had assigned the book, I could stick with it. I didn’t know what I was reading. I didn’t really know how to read. Reading messed with my brain in an unaccountable way. It made me happy; or something. I copied out the first paragraph of Annie Dillard’s “An American Childhood” on my bedroom’s dormer wall. The book was a present from an ace teacher, a literary evangelist in classy shoes, who also flunked me, of course, with good reason. Even to myself I was a lost cause.
Answer:
Step-by-step explanation:
