7. Graph both of the linear inequalities and shade in the possible solutions. (Usef as the y-axis and c as theX-axis.)This has already been started for you, but there is more to do.Hint: It may help to write the inequalities in slope-intercept form first.
Answers
From the information provided, the inequality representing the combination of codebooks and flashlights is
\(c+f\ge50\)The variable f represents the y variable while the variable c reprsents the x variable. In other words, what we have here could also be written as;
\(x+y\ge50\)In slope-intercept form, this is written as;
\(y\ge-x+50\)Therefore, the inequality here would be expressed in slope-intercept form as;
\(f\ge-c+50\)The other inequality is written out as
\(2c+5f\le175\)In slope-intercept form, this becomes;
\(\begin{gathered} 5f\le-2c+175 \\ \text{Divide both sides by 5} \\ \frac{5f}{5}\le-\frac{2c+175}{5} \\ f\le-\frac{2c}{5}+\frac{175}{5} \\ f\le-\frac{2c}{5}+35 \\ f\le-\frac{2}{5}c+35 \end{gathered}\)We can now graph both inequalities as follows;
\(\begin{gathered} \text{Note that the green region represents the inequality,} \\ f\ge-c+50 \end{gathered}\)\(\begin{gathered} \text{Also the purple region represents the inequality,} \\ f\le-\frac{2}{5}c+35 \end{gathered}\)The possible solutions for both inequalities is represented by the region where both colors intersect.
Related Questions
if a car makes a trip of 422 miles in 8 hours, what is its average speed per hour?
Answers
Answer:
52.75 miles per hour (MPH)
Step-by-step explanation:
422÷8 is equal to 52.75
Answer:
52.75
Step-by-step explanation:
In order to get the "speed" you would have to do distance/time, so 422/8=52.75.
You can never multiply distance, it will always divide. For speed and time you would multiply "time * speed" or "speed * time", and for distance it would be "distance/time" or "distance/speed".
There is a "speed distance time triangle" for this as well, it'll help.
how to find the missing angle when given two sides of a right triangle?
Answers
Answer:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
All the songs all the figures except a _____ have to bases
Answers
Answer:
Square pyramid
Step-by-step explanation:
Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
Answers
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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Simplify the expression. Justify that the expressions are equivalent using x = 2.
-4(5x + 2) - 6(x - 3)
What is the simplified expression?
What is the value for both expressions when x = 2
Answers
Answer:
1.) -26x + 10 2.) -42
Step-by-step explanation:
1.) -4(5x + 2) - 6(x-3)
-20x - 8 -6x + 18
-26x + 10
2.) -4(5(2) + 2) - 6(2) -3)
-4(10+2) -6(-1)
-4(12) -6(-1)
-48 + 6
-42
Answer:
Simplify the expression. Justify that the expressions are equivalent using x = 2.
–4(5x + 2) – 6(x – 3)
What is the simplified expression?
✔ –26x + 10
What is the value for both expressions when x = 2
✔ –42
this is the answer on edgunuity!
The next model of a sports car will cost 4.2% more than the current model. The current model costs $46,000. How much will the price increase in dollars? What will be the price of the next model?
Answers
The price of the next car model given the percentage increase is $47,932.
What will be the price of the next model?
Percentage is the ratio of an amount that is raised as a number out of 100. The sign that is used to represent percentage is %. In order to convert a number as a percentage, multiply the number by 100.
The cost of the next model of the sports car would be 4.2% higher than the current model.
The equation that can be used to determine the price of the next car model is:
Price of the next car model = (1 + percentage increase) x current price of the car
(1 + 0.042) x $46,000
1.042 x $46,000 = $47,932
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You throw two dice. What is the probability of rolling a 2 on at least one of the dice?
I'll give brainliest to correct answer. Please explain why
Answers
Answer:
0,027
Step-by-step explanation:
Rolling two fair dice more than doubles the difficulty of calculating probabilities. This is because rolling one die is independent of rolling a second one. One roll has no effect on the other. When dealing with independent events we use the multiplication rule. The use of a tree diagram demonstrates that there are 6 x 6 = 36 possible outcomes from rolling two dice.
Answer:
11/36
Step-by-step explanation:
There are 36 possible outcomes from rolling 2 dice because the first die has 6 possible outcomes and so does the second.
If the first dice is a 2, the second die can be from 1 to 6. So, there are 6 ways that one dice can show a 2. Since it can happen to both die, you double it to be 12.
But, we have counted the roll of 2,2 twice. So we minus 1 possibility.
Thus, there are 11 ways to roll at least one 2 and 36 possibilities.
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab)(x)
Ol
(x)
(a - b)(x)
(a + b)(x)
Answers
Answer:
(ab)(x)
Step-by-step explanation:
The sum or difference of two linear functions will be a linear function. The product of two linear functions will be a quadratic function.
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Daysha's plant grew 100 of a centimeter. India's plant grew of a centimeter.
How many centimeters did the plants grow in all? Write your answer as a decimal.
Answers
The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.
What is centimetres?Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.
This can be written as a decimal as 2.00 centimeters.
To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.
Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.
Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.
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What's the slope of the line that goes thought (2, -2) and (9, 3)?
Answers
Answer: 5/7
Step-by-step explanation:
Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out
Answers
HELLOOPLPPPPPPPPPPPPPPPPP
Answers
Answer:
D. 55%
Step-by-step explanation:
Step 1: We make the assumption that 280 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100% = 280
Step 4: In the same vein, x% = 154.
Step 5: This gives us a pair of simple equations: 100% = 280. x% = 154.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
\(\frac{100}{x} = \frac{280}{154}\)
( The 100 and X both have % at the end of them the equation thing wasn't allowing that though)
Step 7: Taking the inverse (or reciprocal) of both sides yields
\(\frac{x}{100} =\frac{154}{280}\)
( Again the 100 and X both have % at the end of them the equation thing wasn't allowing that though)
\(- > x=55%\)%
Therefore, 154 is 55% of 280.
Hope this helps :)
3/16/2022
Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), Y(0, -4b), and Z(-2a, 0).
Prove: The segments joining the midpoints of a rhombus form a rectangle.
As part of the proof, find the midpoint of YZ.
Answers
The midpoint of segment YZ is (-a, -2b).
Given the coordinates of the rhombus WXYZ:
W(0, 4b)
X(2a, 0)
Y(0, -4b)
Z(-2a, 0)
Find the midpoint of YZ:The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the coordinates of Y and Z:
Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)
= (-a, -2b)
Therefore, the midpoint of segment YZ is (-a, -2b).
Show that the segments joining the midpoints are perpendicular:To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.
Let's consider the segments joining the midpoints:
Segment joining the midpoints of WX and YZ:
Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)
Midpoint of YZ: (-a, -2b)
Slope of WX = (2b - 4b) / (a - 0) = -2b / a
Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a
The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.
Conclusion:We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.
Additionally, the midpoint of segment YZ is (-a, -2b).
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100 POINTS BRAINLIEST AND THANKS!!!!
Answers
Answer:
1. $19,282.025
2.$3698
Step-by-step explanation:
1.
In order to calculate this, we can use the following formula:
\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)
Where:
FV = Future Value PV = Present Value r = Annual interest rate n = Number of times interest is compounded per year t = Number of yearsIn this case, the following values would be used:
FV = ?PV = $3,294 r = 15%=0.15 n = 4t = 12Plugging these values into the formula, we get:
\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)
= $19,282.025
2
In order to calculate this, we can use the following formula:
\(\boxed{\bold{FV = PVe^{rt}}}\)
Where:
FV = Future Value PV = Present Value r = Annual interest rate t = Number of yearsIn this case, the following values would be used:
FV = ?PV = $2,580r = 3%=0.03t = 12value of e= 2.7183Plugging these values into the formula, we get:
\(FV = 2,580e^{0.03*12}\)
= $3,697.99=$3698
2y/5-y/4=-3 what is the common denominator
Answers
Answer:
20
Step-by-step explanation:
Which graph represents the solution set of this inequality?
119 +5 < 49
Choose 1 answer:
Answers
Answer:
to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.
Find the gradient of the line segment between the points (-2,3) and (0,2).
Give your answer in its simplest form.
Answers
Answer:
\(\dfrac{-1}{2}\)
Step-by-step explanation:
Slope or gradient:(-2 , 3) ⇒ x₁ = -2 & y₁ = 3
(0 , 2) ⇒ x₂ = 0 & y₂ = 2
\(\boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf = \dfrac{2-3}{0-[-2]}\\\\\\=\dfrac{-1}{0+2}\\\\=\dfrac{-1}{2}\)
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
Answers
The practical domain of the situation is all real numbers, since there is no restriction on the number of hours the child can spend at the arcade.
The practical range of the situation is [1,140], since the minimum value of the function is 1 and the maximum value is 140.
28
In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C', A', and B' after the dilation. What is the length of ? Use the distance formula to help you decide: .
Graph of properties of dilations on a coordinate plane. Circle is centered at point C equals (8, 10) in quadrant 1. Point A equals (8, 15) on top, and point B equals (12, 13) on top right are marked on circumference.
A.
5 units
B.
15 units
C.
21 units
D.
24 units
E.
45 units
Answers
Given that;
A three-scale-factor dilation of the circle will occur near the origin.After the dilation, the points C, A, and B correspond to C', A', and B'.The centre of the circle lies at (8, 10) in quadrant C.On the circumference, points A and B are marked: point A equals (8, 15) on top, and point B equals (12, 13) on top right.To find;
What is the length of CB. (distance of point C and B)Original coordinates of the points:
A (8,15)
B (12,13) and
C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8)
= 24 ;
3y = 3(15)
= 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12)
= 36 ;
3y = 3(13)
= 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8)
= 24 ;
3y = 3(10)
= 30 ⇒ C' (24, 30)
Right triangle is formed by the given image. I will therefore use the right triangle's short and long legs to solve for the hypotenuse, or length of CB.
Short leg: B and C's y values
39 - 30 = 9
Long leg: B and C's x values
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length (distance of point C and B) of CB is 15 units.
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3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
Answers
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
Answers
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
find the length of the arc of a circle whose central angle is 122 and it's radius is 18ft
Answers
We know that the lenght of the arc is:
\(s=\theta r\)So we can replace the information in our problem to have:
\(\begin{gathered} s=122º\cdot18 \\ s=2196ft \end{gathered}\)What is the meaning of "\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\)"?
![What is the meaning of "[tex] \mathbb{N}=\bigcap \left \{X:X inductive \right \}[/tex]"?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/MNBWazTJH6rrqRMGv9XGZlF09a3XoahD.png)
Answers
The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.
What does the set show ?The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.
In other words, a set is inductive if it satisfies the following two conditions:
The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.
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What is the slope formula to (-13,9 ) and (20, 9)?
Answers
The slope formula is
\(m=\frac{y_2-y_1}{x_2-x_1}\)in this case, we have
(-13,9)=(x1,y1)
(20,9)=(x2,y2)
then we can substitute the values
\(m=\frac{9-9}{20+13}=\frac{0}{33}=0\)m=0
The ratio 81:108 in the simplest form
Answers
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
I’ll give points + brainalist for the correct answer (:
Answers
Answer:
x=18
Step-by-step explanation:
since they are vertical angle they are the same so since its 2x divide 36/2=18
Answer:
x=18
Step-by-step explanation:
\(2x = 36 \\ x = \frac{36}{2} \\ x = 18\)
The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)
Answers
Answer:
c
Step-by-step explanation:
Since the image was created by reflecting across the x-axis,
that means that the original triangle was in the fourth quadrant
the image however is in the first quadrant
the coordinates of something in the fourth quadrant is (x, -y)
the coordinates of something in the first quadrant is (x, y)
so the answer is "c" since (x, -(y)) = (x, -y)
Richard and Teo have a combined age of 36 Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Answers
Answer:
Richard is twenty-six and Teo is ten.
Step-by-step explanation:
Let x = Richard's age and y = Teo's age
x = 2y + 6
(2y + 6) + y = 36
3y + 6 = 36
-6 -6
3y = 30
y = 10
x = 2(10) + 6
x = 20 + 6
x = 26
Richard is 26
Teo is 10
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Factor completely and then place the factors in the proper location on the grid.
4n^2 +28n +49
Answers
Answer:
n = -7/2Step-by-step explanation:
Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;
= 4n² +28n +49
Using the general formula n = -b±√b²-4ac/2a
from the equation: a = 4, b = 28 and c = 49
n = -b±√b²-4ac/2a
n = -28±√28²-4(4)(49)/2(4)
n = -28±√784-784/8
n = -28±√0/8
n = -28/8
n = -7/2
The factor of the given function is -7/2