Answers
1. The inequality that represents the graph is x ≥ 8
2. The inequality that represents the graph is x < 3
3. The inequality that represents the graph is x ≤ 3
4. x ≤ 8
5. x < 8
6. x ≥ 3
Writing InequalitiesFrom the question, we are to determine the inequalities that represent the given graphs
1. The inequality that represents the graph is x ≥ 8
2. The inequality that represents the graph is x < 3
3. The inequality that represents the graph is x ≤ 3
4. "Shaun refuse to read for more than 8 minutes"
Let x represent the number of minute she reads
Thus,
x ≤ 8
5. "Jade says she has less than eight cats"
Let x represent the number of cats Jade has
∴ x < 8
6. "Davon runs at least 3 miles everyday after school"
Let the number of miles Devon runs be x
Then, we can write that
x ≥ 3
Hence,
1. The inequality that represents the graph is x ≥ 8
2. The inequality that represents the graph is x < 3
3. The inequality that represents the graph is x ≤ 3
4. x ≤ 8
5. x < 8
6. x ≥ 3
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Related Questions
20 points!!!What is a two step problem with variables on each side equal 20? (Please help)
Answers
5x • 4 = 2 • 10x
20x = 20x
5x-15=5+4x
+15 +5
5x=20+4x
-4x -4x
x= 20
Step-by-step explanation:
what is the domain and range of the question below
domain=
range =
Answers
The Domain is [-4, -2] U [-1, 1) and range is [4, 0)
What is Domain and Range?The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
Given:
The left piece has its other endpoint at x = -2.
So, the interval for the domain is [-4, -2] and the other part is [-1, 1)
So, the domain is [-4, -2] U [-1, 1)
and the range is the vertical range of the right part.
So, range is [4, 0)
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Полоску бумаги разрезали на 7 частей. После этого самую большую
из полученных частей снова разрезали на 7 частей. Затем снова самую большую
из полученных частей разрезали на 7 частей. Так поступили много раз: на
каждом шаге самую большую часть разрезали на 7 частей. Могло ли в итоге
получиться 500 частей?
Answers
Answer:
2556285=68358556
Step-by-step explanation:
+58385-5838688(68589)8999=9858288
Express 88 kilometers per hour in miles per hour.
mi/hr
(Round to the nearest hundredth as needed.)
Answers
88 kilometers per hour in miles per hour is 54.68 mi/hr
Converting kilometers per hour to miles per hourNote that:
1 km = 0.6214 miles
The measurement to convert is 88 kilometers per hour
Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour
88 kilometers per hour = 88 x 0.6214 miles per hour
88 kilometers per hour = 54.6832 miles per hour
88 kilometers per hour = 54.68 mi/hr
Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr
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Calculate (multiply (1-2i)(6+5i)
Answers
Answer:
-7 i + 16
Step-by-step explanation:
Simplify the following:
(-2 i + 1) (5 i + 6)
(1 - 2 i) (6 + 5 i) = (1) (6) + (1) (5 i) + (-2 i) (6) + (-2 i) (5 i):
6 + 5 i - 2 i×6 - 2 i×5 i
-2×6 = -12:
6 + 5 i + -12 i - 2 i×5 i
-2 i×5 i = -2 i^2 5:
6 + 5 i - 12 i + -2 i^2×5
i^2 = -1:
6 + 5 i - 12 i - 2-1×5
-2 (-5) = 10:
6 + 5 i - 12 i + 10
6 + 5 i - 12 i + 10 = (6 + 10) + (5 i - 12 i) = 16 - 7 i:
Answer: -7 i + 16
Answer: your answer to this question would be 16-7i
Step-by-step explanation:
The sum of three consecutive odd numbers is 177. Find the number. Step by step please
Answers
Answer:
57, 59 and 61
Step-by-step explanation:
Let the first odd number be n The next consecutive odd number is n + 2 and the next one after that is n + 4
(consecutive odd numbers have difference of 2 between them. For example if 7 is the first odd number next one is 9(7+2) and the next one is 11(7+4)
We are given that the sum of the numbers is 177. So we have the following equation:
n + (n + 2) + (n +4) = 177
Simplifying gives
n + n + 2 + n + 4 = 177
Collect like terms:
n + n + n + 2 + 4 = 177
3n + 6 = 177
Subtract 6 from both sides
==> 3n = 177 - 6
==> 3n = 171
Divide by 3 both sides
3n/3 = 171/3
n = 57 and this is the first of the odd numbers
The next odd number is 57+ 2 = 59
and the next one after that is 59 + 2 = 61 (same as 57 + 4)
For the piecewise function, find the values g(-6), g(1), and g(8).
Answers
The output values of g(-6), g(1), and g(8) in the given piecewise function are -1, 6 and -6 respectively.
What are the output values of g(-6), g(1), and g(8) in the given piecewise function?Given the piecewise function in the question;
x + 5, for x ≤ 1
g(x) = {2 - x, for x > 1
g(-6) = ?g(1) = ?g(8) = ?Determine the output value of g(-6), -6 falls in the domain of x ≤ 1,
Hence;
g(x) = x + 5
g(-6) = -6 + 5
g(-6) = -1
Determine the output value of g(1), 1 falls in the domain of x ≤ 1,
Hence;
g(x) = x + 5
g(1) = 1 + 5
g(1) = 6
Determine the output value of g(8), 8 falls in the domain of x > 1,
Hence;
g(x) = 2 - x
g(8) = 2 - 8
g(8) = -6
Therefore the output values of g(-6), g(1), and g(8) in the given piecewise function are -1, 6 and -6 respectively.
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finding the common difference
5,11,____ , 23,29,____…
Answers
Answer:
5,11 , 17, 23, 29, 35
Step-by-step explanation:
Answer:
5, 11, 17, 23, 29, 36
Step-by-step explanation:
To get from 5 to 11, we add 6. Similarly, to get from 11 to _, we add 6, and get 17. This also works with 29 to _. We get 36.
I need help to find x and y
Answers
The system of nonlinear equations have two solutions: (x, y) = (0.114, 0.354), (x, y) = (1.432, 1.103).
What is the solution of a system of nonlinear equations?In this problem we find a system of two nonlinear equations involving radical expressions. We proceed to resolve the system of nonlinear equations by algebra properties:
(2 · x - 1)² + 8√(2 · x · y) = 4
8√(2 · x · y) = 4 - (2 · x - 1)²
8√(2 · x · y) = 4 - 4 · x² + 4 · x - 1
8√(2 · x · y) = 4 · x - 4 · x² + 3
64 · (2 · x · y) = [(4 · x + 3) - 4 · x²]²
128 · x · y = (4 · x + 3)² - 8 · (4 · x + 3) · x² + 64 · x⁴
128 · x · y = 16 · x² + 24 · x + 9 - 32 · x³ - 24 · x² + 64 · x⁴ (1)
4 · y - √(8 · x · y - 1) = 1
4 · y - 1 = √(8 · x · y - 1)
(4 · y - 1)² = 8 · x · y - 1
16 · y² - 8 · y + 2 = 8 · x · y (2)
Now we plot two equations on a graphing tool and find that the system has the following two solutions: (x, y) = (0.114, 0.354), (x, y) = (1.432, 1.103).
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help please rn please help
Answers
Answer: the answer is MO=5
Step-by-step explanation:
A plumber has a 20Foot
Answers
Answer:
14
Step-by-step explanation:
I think the question is whether: "a plumber has a 20-foot piece of PVC pipe. how many 7/5 foot pieces can be cut from the 20-foot piece?"
explain square root of 3 rational number
Answers
Answer:
[tex]\sqrt{4}[/tex], [tex]\sqrt{9}[/tex], [tex]\sqrt{16}[/tex]
Step-by-step explanation:
I think that you are asking for 3 examples of square roots that are rational. All perfect squares are rational. If the square root is not a perfect square then the number is irrational.
[tex]\sqrt{4[/tex] = 2 and -2. The number multiplied by itself is an integer. Integers are the whole numbers and their opposites: ...-3, -2, -1, 0, 1, 2, 3...
1/2 is not an integers. 0.75 is not an integer.
[tex]\sqrt{9}[/tex] is 3 and -3
[tex]\sqrt{16}[/tex] is 4 and -4
Numbers like:
[tex]\sqrt{3}[/tex] is irrational because this number in a decimal form never terminates or repeats.
EASY QUESTION 20 POINTS
Answers
Answer:(7/9)^12
Step-by-step explanation:
Answer:
C. (7/9)^12
Step-by-step explanation:
(49/81)^6 = (7^2/9^2)^6 = (7/9)^(2x6) = (7/9)^12
hans bought three books at a bookstore. Here are the prices(in dollars). 6,19.1,6.97 what is the total amount Hans paid at the bookstore
Answers
Answer:
$32.07
Step-by-step explanation:
Just add them together.
Kristen goes on a cave tour with her family. They climb down to 8 meters below ground level.
Then they climb the opposite of -8 meters to return to ground level.
How many meters did they climb in all? Enter your answer in the box
Answers
Answer:
16 meters is the answer of this question
[tex] \rm \int_{0}^1 \int_{0}^1x \bigg \{ \frac{1}{1 - xy} \bigg \}dydx \\ [/tex]
Answers
The fractional part vanishes when the argument is an integer; in this case, for
[tex]\left\{\dfrac1{1-xy}\right\} = 0 \iff \dfrac1{1-xy} = n \iff xy = \dfrac{n-1}n[/tex]
which are hyperbolas in the [tex](x,y)[/tex]-plane.
Observe that between neighboring hyperbolas, we have
[tex]\dfrac{n-1}n < xy < \dfrac n{n+1} \\\\ ~~~~ \implies \dfrac1{n+1} < 1-xy < \dfrac1n \\\\ ~~~~ \implies n < \dfrac1{1-xy} < n+1 \\\\ ~~~~ \implies \left\{\dfrac1{1-xy}\right\} = \dfrac1{1-xy} - \left\lfloor\dfrac1{1-xy}\right\rfloor = \dfrac1{1-xy} - n[/tex]
Split up the integral over [tex][0,1)^2[/tex] along the curves [tex]xy=\frac{n-1}n[/tex]. The subregions somewhat resemble the layers or scales of an onion (see attached plot with the first 5 "scales").
Let [tex]S_n[/tex] denote the [tex]n[/tex]-th ([tex]n\in\Bbb N[/tex]) "scale", starting from the blue region closest to the origin and counting diagonally upward in the direction of (1, 1).
In Cartesian coordinates, the integral over [tex]n[/tex]-th "scale" is
[tex]\displaystyle \iint_{S_n} x \left(\frac1{1-xy} - n\right) \, dy \, dx \\\\\\ ~~~~~~~~= \int_{(n-1)/n}^{n/(n+1)} \int_{(n-1)/(nx)}^1 x \left(\frac1{1-xy} - n\right) \, dy dx \\\\\\ ~~~~~~~~~~~~~ + \int_{n/(n+1)}^1 \int_{(n-1)/(nx)}^{n/((n+1)x)} x \left(\frac1{1-xy} - n\right) \, dx[/tex]
(see attached plot of the 2nd "scale" for reference)
The integral is trivial, so I'll leave it to you to confirm that it drastically reduces to
[tex]\displaystyle \iint_{S_n} x \left(\frac1{1-xy} - n\right) \, dy \, dx = \frac1{2n (n+1)^2} = \frac12 \left(\frac1n - \frac1{n+1} - \frac1{(n+1)^2}\right)[/tex]
Now we recover the original integral by summing over [tex]\Bbb N[/tex].
[tex]\displaystyle \int_0^1 \int_0^1 x \left\{\frac1{1-xy}\right\} \, dy \, dx = \frac12 \sum_{n=1}^\infty \left(\frac1n - \frac1{n+1} - \frac1{(n+1)^2}\right) \\\\ ~~~~~~~~ = \frac12 \left(\left(1-\frac12\right)+\left(\frac12-\frac13\right)+\left(\frac13-\frac14\right)+\cdots\right) - \frac12 \sum_{n=2}^\infty \frac1{n^2} \\\\ ~~~~~~~~ = \frac12 - \frac12 \left(\sum_{n=1}^\infty \frac1{n^2} - 1\right) \\\\ ~~~~~~~~ = \frac12 - \frac12 \left(\frac{\pi^2}6 - 1\right) = \boxed{1 - \frac{\pi^2}{12}}[/tex]
Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch = 4 feet. The actual length of a room in the hotel is 20 feet. How long is the room in the drawing
Answers
Answer:
The room is 5 inches in the drawing.
Step-by-step explanation:
If the room is 20 feet and each inch in his drawing measures 4 feet what you need to do is see how many times 4 goes into 20.
4 times 5 = 20
So the answer would be 5
Hope it helps! =D
One state has a 6% sales tax on clothing items priced at $75 or higher, and no sales tax on clothing items priced under $75. What is the total tax on the items in the table above?
Answers
For percentages, we turn it into a decimal (move it 2 places to the left) and then multiply by the number. Let’s use the example of 75 dollars. To find its tax, we would multiply $75 by .06. This equals $4.5. This means that the tax is equal to $4.5. Now we need to add this tax to our $75. 75 + 4.5 = $79.5. Our total price for this piece of clothing would be $79.5.
Let’s use another random price as an example - $84.95. $84.95 times .06 = $5.097. Now we add the tax. We would get a total of $90.047 (or $90.05, since we round to our nearest tenth in money).
For your table, you would find the tax for every individual clothing above $75. Your table says to add the total tax (NOT the totals of the prices) together. So, using the numbers I did, we would add $4.5 + $5.097. This equals $9.597, or $9.60 total tax for these items. (Note: You can just ignore items under $75)
Solve.
3z +2y-z = 8
2z+22=-4
z+3y=4
Answers
Answer:
(1, 1,-3)
Step-by-step explanation:
5 1/2 x 1 1/4
put in simplest form
Answers
Answer:
6 7/8
Step-by-step explanation:
First we would need to turn the 5 1/2 into a improper fraction. Then, do the same for the 1 1/4 as well. To do this, multiply the denominator by the whole number and then add the numerator. Once you get those values, you simply multiply across, meaning the numerators get multiplied together and the denominators get multiplied together. The value you get is the improper fraction form of the simplest form. Then you can convert it back to a mixed fraction if that is the form you need. To do this divide the numerator by the denominator. Now we have a value of 11/2 x 5/4 = 55/8. So divide 55 by 8 and leave the remainder in fraction form. Therefore the answer should be 6 7/8, after it is reduced.
I hope this helps, have a blessed day! :)
At Keller's Bike Rentals, it costs $15 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?
Answers
Answer:
3.75
Step-by-step explanation:
15/4=3.75
Answer:
12 1/3
Step-by-step explanation:
because when you find the total cost plus divide it gives u the answer
Given the graphs of f(x) and g(z) below, find the composition of functions f(g(-1)).
Answers
The composition of the functions, f(g(-1)) = 2.
How to Find the Composition of Functions?To find the composition of the functions, f(g(-1)), first, find the function, g(-1) by tracing the value of y that will give an x-value of -1 on the function graph.
The next step is to use the value you get in the first step to trace which value of y will give an x-value equivalent to what you got in the first step on the second function graph.
Thus, from the graph of g(x), g(-1) = 0. Using the graph of f(x), the value of y when x = 0 is 2.
Therefore, the composition of the functions, f(g(-1)) = 2.
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two complementary angles are X + 4 degree and 2 x - 7 degree find the value of x
Answers
Answer:
x+4+2x-7=180
3x-3=180
3x=183
x=61
Tom bought a pencil case for $60 and sold it to gain a profit of 20% on his cost price.
(a) How much money did he gain? (b) How much money did he sell the pencil case for?
Answers
a. $12
b. $72
The radius of a circle is 12 inches. What is
the diameter?
Answers
Answer:
diameter is 24 inches
Step-by-step explanation:
diameter is basically two times the radius
Solve the equation by the zero factor property
b^2-8b+15=0
Answers
Answer:
(b-5)(b-3)
Step-by-step explanation:
To factor this equation we have to find 2 numbers that combine to equal -8 and multiply together to equal 15
these numbers would be -3 and -5
after that you just put them in an equation like so:
(b-5)(b-3)
you can check your work by just multiplying those back together
If you want future explanation on how to do this just ask
hope this helps :D
Graph the line with a slope of 1/3 passing through point (-1, -1)
Answers
Considering the expression of a line, the line is y= 1/3x -2/3 and the graph of this line is shown in the attached image.
Definition of lineA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing the value of slope m, substituting this value and the value of the point in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.
Line in this caseIn this case, you know:
The line has a slope of 1/3The line passes through point (x,y)=(-1, -1)Substituting the value of the slope m:
y= 1/3x +b
Substituting the point to calculate the value of b:
-1= 1/3×(-1) + b
-1= -1/3 + b
-1 + 1/3= b
-2/3= b
Finally, the line is y= 1/3x -2/3 and the graph of this line is shown in the attached image.
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One side of a rectangle is 4 m longer than four times another side. The area of the rectangle is 224 m².
Find the length of the shorter side.
m
Answers
Let the another side be x m.
Therefore, the longer side = (4 + 4x) m.
Now,
[tex]{\sf{→x \times (4 + 4x) = 224 \\ →4x + 4x {}^{2} - 224 = 0 \\→ x {}^{2} + x - 56 = 0 \\ →x {}^{2} + 8x - 7x - 56 = 0 \\ →x(x + 8) - 7(x + 8) = 0 \\ →(x - 7)(x +8 ) = 0 \\ →x = 7 \: or \: x = - 8 \\ \\ length \: cannot \: be \: negative \\ possible \: solution \: (x) = 7}}[/tex]
Length of shorter side = x = 7 metres.
[tex]{\sf{answer\: \\ss}}[/tex]
Make a conjecture about each pattern. Then write the next two items. 4. 1, 2, 2, 4, 8, 32, . . .
Answers
Answer:
256, 8192
{This is an educated guess}
Step-by-step explanation:
The problem seems to be a variation of the Fibonacci sequence: 1, 1, 2, 3, 5, 8...
1 ⇒ 2: 1*2
2 ⇒ 2: 2*1
2 ⇒ 4: 2*2
4⇒8:4*2
8⇒32:8*4
32⇒256: 32*8
256*32 = 8192
Rewrite using an exponent.
Answers
Answer:
2[tex] {}^{5} [/tex]
Step-by-step explanation:
2×2×2×2×2 = 2[tex] {}^{5} [/tex]