Answers
The ordered pair which is not a solution to the inequality y - 3x < 10 is (-6,0).
Which ordered pair is not a solution to the inequality?Given the inequality in the question:
y - 3x < 10
Given the ordered pairs: (0,-4), (0,-1), and (-6,0). To determine which ordered pair is not a solution, we need to plug the values into the inequality and check.
For (0,-4):
y - 3x < 10
Plug in x = 0 and y = -4
-4 - 3(0) < 10
-4 < 10
True: -4 is less than 10.
For (0,-1):
y - 3x < 10
Plug in x = 0 and y = -1
-1 - 3(0) < 10
-1 < 10
True: -1 is less than 10.
For (-6,0):
y - 3x < 10
Plug in x = -6 and y = 0
0 - 3(-6) < 10
18 < 10
False: 18 is Not less than 10.
Therefore, (-6,0) is not a solution to the inequality.
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Related Questions
Pls help it’s for my homework
Answers
Answer: I think it is 5
Therefore, The Volume of ORNAMENT ( B ) is 5^3 = 125 TIMES LARGER than the VOLUME of ORNAMENT ( A ).
Hence, The VOLUME of ORNAMENT (B) is 125 TIMES LARGER than the VOLUME of ORNAMENT (A).
Step-by-step explanation:MAKE A PLAN:
We know that the Height of ORNAMENT ( B ) is FIVE (5) Times Larger than the Height of ORNAMENT ( A ). We need to Find the Ratio of their Volumes.
SOLVE THE PROBLEM:1) - Let the height of Ornament ( A ) be hA and the height of Ornament
( B ) be, hB
2) - We know the hB = 5 * hA
3) - Since the Ornaments are Mathematically Similar, Their Volumes are Proportional to the Cube of their heights.
4) - Calculate The Ratio of their Volumes:
(hB )^3 / (hA )^3 (5 * hA )^3 / (hA )^3
Draw the conclusion:Therefore, The Volume of ORNAMENT ( B ) is 5^3 = 125 TIMES LARGER than the VOLUME of ORNAMENT ( A ).
Hence, The VOLUME of ORNAMENT (B) is 125 TIMES LARGER than the VOLUME of ORNAMENT (A).
I hope this helps you!
you can approximate e by substituting large values for n into what expression
Answers
This method of approximation is derived from the mathematical concept of limits and the definition of the number e as the limit of (1 + 1/n)^n as n approaches infinity. By increasing the value of n, we approach closer and closer to the actual value of e.
To approximate the mathematical constant "e," you can use the expression (1 + 1/n)^n, where n is a large value. As n approaches infinity, this expression converges to the value of e. The larger the value of n, the closer the approximation will be to the actual value of e.
For example, let's substitute a large value, say n = 10,000, into the expression:
Approximation of e ≈ (1 + 1/10,000)^10,000
Calculating this expression, we get an approximation of e as approximately 2.7181459. Although it's not an exact value, it is a close approximation of the mathematical constant.
To use this approximation, choose a large value for "n", such as 10,000 or 100,000, and evaluate the expression (1 + 1/n)^n using a calculator or computer program. The result will be a close approximation of the value of "e". The larger the value of "n", the more accurate the approximation will be.
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are these functions. {(2, 3), (1, 3), (5, 3), (2, 6)}
Answers
(2, 3) means that the x-coordinate is 2, and the y-coordinate is 3.
(1, 3) means that the x-coordinate is 1, and the y-coordinate is 3.
(5, 3) means that the x-coordinate is 5, and the y-coordinate is 3.
(2, 6) means that the x-coordinate is 2, and the y-coordinate is 6.
These points do not represent functions on their own, but they can be used to define a relationship between x and y values. To determine a function, we need to ensure that each x-coordinate is associated with only one y-coordinate. If any x-coordinate is associated with multiple y-coordinates, it would not represent a function.
In this case, the x-coordinate 2 is associated with both y-coordinates 3 and 6. Therefore, the set of points {(2, 3), (1, 3), (5, 3), (2, 6)} does not represent a function since the x-coordinate 2 is paired with different y-coordinates.
How many 9/4 hours are there in 3/4 hour?
1/3
3
1/4
4
Answers
Answer: 1/4
Step-by-step explanation:
graph the line with slope of 4 and y-intercept 1
Answers
The graph of the line y = 4x + 1 is on the graph at the end.
How to graph the line?A linear equation in the slope-intercept form is written as:
y = ax + b
Where a is the slope and b is the intercept of the y-axis.
Here we know that:
slope = 4 ---> a = 4
y-intercept = 1 ---> b = 1
Then our line is:
y = 4x + 1
To graph this we just need two points on the linear equation, that then we can graph and connect with a line.
when x = 0
y = 4*0 + 1 = 1
So we have (0, 1)
when x = 1
y = 4*1 + 1 = 5
So we have (1,5)
With these two points we will get the graph of the line that you can see below.
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The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
6 ounces
12 ounces
18 ounces
27 ounces
Answers
The correct Option is C. Dominic buys about 18 ounces of romaine lettuce in the 64-ounce container of salad mix.
From the pie chart, we can infer that the percentage of romaine lettuce in the salad mix is 27%.
We can find the number of ounces of romaine lettuce in a 64-ounce container of salad mix by multiplying 64 by 27/100.
This is because we want to find what fraction of the whole salad mix is romaine lettuce, and then multiply it by the total number of ounces in the container.
Using proportions, we can find that:Let x be the number of ounces of romaine lettuce in a 64-ounce container of salad mix.
27/100 = x/64
Solving for x, we get:x = (27/100) * 64 = 18.28
Therefore, there are about 18.28 ounces of romaine lettuce in a 64-ounce container of salad mix.
However, since we are asked to give an approximate answer, we can round this to the nearest whole number, which is 18.
So, Dominic buys about 18 ounces of romaine lettuce in the 64-ounce container of salad mix.
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Question for experts !
Recommend books for partial differential equations from beginner to advanced
Answers
Answer:
Here are some recommended books on partial differential equations (PDEs) from beginner to advanced level:
1. "Partial Differential Equations: An Introduction" by Walter A. Strauss: This is a great introductory book on PDEs that covers the basics of first-order equations, second-order equations, and higher-order equations.
2. "Partial Differential Equations" by Lawrence C. Evans: This is a more advanced textbook that covers a wide range of topics in PDEs, including elliptic equations, parabolic equations, hyperbolic equations, and conservation laws.
3. "Nonlinear Partial Differential Equations" by Peter J. Olver: This is an advanced book that covers the theory and applications of nonlinear PDEs, including Hamiltonian systems, solitons, and integrable systems.
4. "Introduction to the Theory of Nonlinear Elliptic Equations" by V. G. Maz'ya and S. Poborchi: This is an advanced book that provides a comprehensive introduction to the theory of nonlinear elliptic equations.
5. "Geometric Partial Differential Equations and Image Analysis" by Guillermo Sapiro: This is an advanced book that covers the application of PDEs to image analysis, including topics such as denoising, segmentation, and registration.
These books provide a good foundation for understanding PDEs and their applications, and can be useful for students and researchers at various levels of expertise.
Use the equation of the line to identify a point the line passes through and the slope of the line. Then, graph the line.
y+3=1/3(x+3)
Answers
The point is (3, 2 1/3).
Given the equation of the line,y + 3 = 1/3(x + 3)
To identify a point the line passes through and the slope of the line, we first need to convert the equation of the line into slope-intercept form.y + 3 = 1/3(x + 3) y = 1/3x + 1
As we can see from the slope-intercept form of the equation, the slope of the line is 1/3.
To graph the line, we need to choose two points on the line and connect them with a straight line.
Let's choose the y-intercept and another point on the line.
The y-intercept is (0,1). To find another point, we can choose x = 3.y = 1/3x + 1y = 1/3(3) + 1y = 2(1/3)
Thus, the point is (3, 2 1/3).
We can now plot these points and connect them with a straight line to get the graph of the line. Graph of the line y + 3 = 1/3(x + 3)
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What is the simplified form of the expression (-3x^2 + x + 5) − (4x^2 − 2x)
Answers
The simplified form of the expression (-3x² + x + 5) - (4x² - 2x) is -7x² + 3x + 5.
To simplify the expression (-3x² + x + 5) - (4x² - 2x)
you will have to perform the subtraction of the two polynomials.
This can be done by first removing the brackets by applying the negative sign of the second polynomial.
After removing the brackets, you can combine like terms.
Hence;
(-3x² + x + 5) - (4x² - 2x)
= -3x²+ x + 5 - 4x²+ 2x (applying negative sign)
= -3x² - 4x² + x + 2x + 5 (combining like terms)
= -7x² + 3x + 5
Therefore, the simplified form of the given expression is -7x² + 3x + 5.
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please help find g(12)
Answers
Answer:
g(12) = 10
Step-by-step explanation:
To find g(12)
here t = 12 and lies in the range 6 ≤ t ≤ 12
so we use g(t) = [tex]\frac{5t}{6}[/tex]
⇒ g(12) = [tex]\frac{5*12}{6}[/tex]
= 5*2
= 10
g(12) = 10
Suppose f is a one-to-one function with the following values. f(−7)f(−2)=−8=5 Which of the following must be true? Select all correct answers. Select all that apply: f−1(−8)=5 f−1(−7)=8 f−1(5)=−2 f−1(−2)=−5 f−1(−8)=−7 f−1(5)=−7
Answers
Based on the analysis, the only statement that must be true is: -[tex]f^{(-1)(-8)} = -7[/tex]
How to determine the statement that must be trueGiven that f is a one-to-one function, it implies that it has an inverse function denoted as [tex]f^{(-1)}.[/tex] The inverse function undoes the operation of the original function, such that [tex]f(f^{(-1)(x))} = x[/tex] for any x in the domain.
Now let's analyze the given options:
1. [tex]f^{(-1)(-8)} = 5[/tex]: We cannot determine the truth of this statement based on the given information. It depends on the behavior of the function f and its inverse.
2.[tex]f^{(-1)(-7)} = 8:[/tex] This option contradicts the given information. The value of f(-7) is -8, so the inverse function evaluated at -8 should yield -7, not 8.
3. [tex]f^{(-1)(5)} = -2[/tex]: We cannot determine the truth of this statement based on the given information. It depends on the behavior of the function f and its inverse.
4.[tex]f^{(-1)(-2)} = -5:[/tex]We cannot determine the truth of this statement based on the given information. It depends on the behavior of the function f and its inverse.
5.[tex]f^{(-1)(-8)} = -7:[/tex] This option aligns with the given information. The value of f(-7) is -8, so the inverse function evaluated at -8 should yield -7.
6. [tex]f^{(-1)(5)} = -7:[/tex] We cannot determine the truth of this statement based on the given information. It depends on the behavior of the function f and its inverse.
Based on the analysis, the only statement that must be true is:
[tex]f^{(-1)(-8)} = -7[/tex]
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Use the graph to estimate the median cost of a home in 2014 (19 years after 1995).
Answers
Using the given graph, we can see that the median cost is 480 thousands of dollars.
How to estimate the cost in 2014?To find the cost in 2014, 19 years after 1995 which is the zero in the horizontal axis, first we need to locate the value x = 19 in the horizontal axis.
Once we do, we move vertically upwards until we meet the graph (in this case, the blue line).
Once we meet with the graph of the line, we move horizontally until we hit the vertical axis, and we record the correspondent value.
Doing that, we can see that the median cost of a home in 2014 is 480 thousands of dollars.
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which of the following situations has a straight line and passes through the origin? • Kevin gets $2 for each point he scores in a basketball match. • The area of district and its population. • The cost of a pie is $3.50 and the base charge is $2. • All of the choices.
Answers
The situation that has a straight line and passes through the origin is when "All of the choices" are true.
A straight line equation in slope-intercept form is given by; y = mx + b, where m is the slope and b is the y-intercept.However, when the straight line passes through the origin, then the value of b becomes zero, which means the equation becomes; y = mx.
Therefore, among the given situations, the one that has a straight line and passes through the origin is "All of the choices."
Since all the given situations have a proportional relationship, which means as one variable increases, the other variable increases, then they all form a straight line that passes through the origin.
Therefore, all the given situations have a straight line and passes through the origin.
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Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler terms to differentiate.
y=(3-x^2)(x^3-5x+5)
a. Apply the Product Rule. Let u=(3-x^2) and v=(x^3-5x+5).
b. Multiply the factors of the original expression, u and v to produce a sum of simpler terms.
Find y'.
Answers
The factors of the original expression, u and v to produce a sum of simpler terms, the derivative of y with respect to x is: y' = -2x⁴ - x² - 10x + 15
Given the expression y = (3 - x²) (x³ - 5x + 5),
We need to find the derivative of y with respect to x.
We can find y' using two methods:
Method 1: Applying the Product RuleIf y = uv, then we know that y' = u'v + uv'Applying this formula to the given expression, We get:
y = (3 - x²) (x³ - 5x + 5)u = (3 - x²) and v = (x³ - 5x + 5)
Differentiating u and v, we get:u' = -2x and v' = 3x² - 5
Substituting these values into the formula for y', we get:
y' = u'v + uv' = (-2x) (x³ - 5x + 5) + (3 - x²) (3x² - 5)
Simplifying this expression, we get:
y' = -2x⁴ + 10x² - 10x - 3x² + 15 = -2x⁴ - x² - 10x + 15
Method 2: Multiplying the Factors to Produce a Sum of Simpler Terms to Differentiate
Expanding the given expression, we get:
y = 3x³ - 15x + 15 - x⁵ + 5x³ - 5x - 3x² + 15x² - 15x
Differentiating this expression, we get: y' = 9x² - 15 + 0 - 5x⁴ + 15x² - 5 - 6x + 30x - 15
Simplifying this expression, we get:
y' = -2x⁴ - x² - 10x + 15
Therefore, the derivative of y with respect to x is:y' = -2x⁴ - x² - 10x + 15
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2. Find x if the mZFED= 1190, mZIED= x+61, and m/FEI= x + 66, is
Answers
Answer:
x = - 4
Step-by-step explanation:
∠ FEI and ∠ IED form ∠ FED , that is
∠ FEI + ∠ IED = ∠ FED ( substitute values )
x + 66 + x + 61 = 119
2x + 127 = 119 ( subtract 127 from both sides )
2x = - 8 ( divide both sides by 2 )
x = - 4
Two number in ratio 4:1 sum is 60 find largest number
Answers
Answer:
48
Step-by-step explanation:
4 : 1
4 + 1 = 5
60/5 = 12
12 × 4 = 48
12 × 1 = 12
48 : 12 are numbers in a 4:1 ratio and add to 60.
Answer: 48
Answer:
larger # is 48
look at attachment
Step-by-step explanation:
4x+1x=60
This is the input-output table for the linear function y = 3x. Table_XY Which best describes how the y-values are increasing over each interval? Subtract 10 over each interval. Multiply by 2 over each interval. Add 3 over each interval..
Answers
Step-by-step explanation:
Can you provide an image please?
Answer:
C
Step-by-step explanation:
Alan solved the proportion StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction as shown.
StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction. (8) (x) = (25) (200). 8 x = 5,000. StartFraction 8 x over 8 EndFraction = StartFraction 5,000 over 8 EndFraction. X = 625.
What is Alan’s error?
He got the wrong product when he multiplied 25 by 200.
He got the wrong quotient when he divided 5,000 by 8.
He mixed up the positions of 8 and 25 in the equation (8) (x) = (25) (200).
He mixed up the positions of 8 and 200 in the equation (8) (x) = (25) (200).
Answers
The correct answer is that Alan mixed up the positions of 8 and 25 in the equation (8)(x) = (25)(200). This mistake led to incorrect calculations and the wrong answer.
Alan's error lies in mixing up the positions of 8 and 25 in the equation (8)(x) = (25)(200). In the original proportion, the correct equation is (x/200) = (8/25).
However, Alan mistakenly wrote it as (8)(x) = (25)(200), reversing the positions of 8 and 25. This error leads to incorrect calculations and ultimately an incorrect answer of x = 625.
Let's break down Alan's steps to understand his mistake:
StartFraction x over 200 EndFraction = StartFraction 8 over 25 EndFraction.
Alan correctly writes down the proportion.
(8)(x) = (25)(200).
Here is where Alan's error occurs. Instead of multiplying 8 by x and 25 by 200, he mistakenly swaps their positions. This mistake results in incorrect products.
8x = 5,000.
Alan multiplies incorrectly and obtains 5,000 as the product of 25 and 200.
StartFraction 8x over 8 EndFraction = StartFraction 5,000 over 8 EndFraction.
Alan divides both sides of the equation by 8, which is the correct step.
x = 625.
Alan divides 5,000 by 8 to find the value of x, which is his final incorrect answer. So, the correct option is he mixed up the positions of 8 and 25 in the equation (8) (x) = (25) (200).
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Cant figure this out,not even for the life of me.
Find f(1) for the
piece-wise function.
f(x) =
2x
NIT
if x < 1
+/ ifx>1
x+
f(1) = [?]
Answers
well, f(1) is indicating that x = 1, hmmm for the piecewise, on what section is that?
well, x < 1 is just whenever "x" is less than 1, but not 1.
x ⩾ 1 is whenever "x" is either 1 or greater than 1, so that's our guy, so we use that subfunction to get it.
[tex]f(x)= \begin{cases} 2x&x < 1\\\\ \cfrac{1}{2}x+\cfrac{5}{2}&x\geqslant 1\hspace{3em}\textit{f(1) is in this section} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ f(1)=\cfrac{1}{2}(1)+\cfrac{5}{2}\implies f(1)=3[/tex]
[tex] \frac{x}{n} + 2 = w[/tex]
make x the subject
Answers
The variable x as the subject of the equation is x = n(w - 2)
How to make x the subject of the equationFrom the question, we have the following parameters that can be used in our computation:
x/n + 2 = w
Subtract 2 frm both sides of the equation
So, we have
x/n = w - 2
Next, we have
x = n(w - 2)
Hence, the solution is x = n(w - 2)
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Geometry
Answer fast
Answers
Answer:
Your correct
Step-by-step explanation:
The transversal,a, creates right angles for line b, c, and d. This they are parallel
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of four fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(−3.2, 4.8), B′(−1.6, 1.6), C′(3.2, −1.6), D′(3.2, 3.2)
A′(−16, 24), B′(−8, 8), C′(16, −24), D′(16, 16)
A′(3.2, −4.8), B′(1.6, −1.6), C′(−3.2, 1.6), D′(−3.2, −3.2)
A′(4.5, −3), B′(1.5, −1.5), C′(−1.5, 3), D′(3, 3)
Answers
Answer:
A.
Step-by-step explanation:
New x-coordinate = (-4) * (4/5) = -16/5 = -3.2
New y-coordinate = 6 * (4/5) = 24/5 = 4.8
that's the only option with a -3.2 for A
please awnser ASAP i will brainlist
Answers
The second coordinate of the given first coordinate is determined as;
f(0) = 1
(1) = 6.06.
What is the second coordinate of the given coordinate?
The second coordinate of the given first coordinate is calculated by applying the following method as follows;
The given function;
F(x) = [tex]4^{1.3x}[/tex]
The value of f(0) is calculated as;
f (0) = [tex]4^{1.3 \times 0}[/tex] = 4⁰ = 1
The value of f(1) is calculated as;.
f (1) = [tex]4^{1.3 \times 1} = 4^{1.3}[/tex] = 6.06
Thus, the second coordinate of the given first coordinate is determined by applying the appropriate substittue of the function as shown above.
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An investor invested a total of $3,300 in two mutual funds. One fund earned a 4% profit while the other earned 2% profit. If the investors total profit was $94, how much was invested in each mutual fund
Answers
Answer:
.04x + .02($3,300 - x) = $94
.04x + $66 - .02x = $94
.02x = $28
x = $1,400 in 4% fund
$3,300 - $1,400 = $1,900 invested in 2% fund
Kayla can see that the measure of Angle I and Angle J
form a straight line. Since Kayla knows that a straight line has
an angle measure of 180°, what is the measure (in degrees) of
Angle J? please answer as quickly as you can
Answers
Angle J is equal to 90°.Hence, the measure of Angle J is 90°.
Kayla can see that the measure of Angle I and Angle J form a straight line. Since Kayla knows that a straight line has an angle measure of 180°, what is the measure (in degrees) of Angle J
Given,The angle formed by angle I and J is a straight line which measures 180°.We need to find the measure of angle J.To find the measure of angle J, we need to find out the angle measure of angle I.
From the above information, we know that the angle formed by angle I and J is a straight line that measures 180°.So,Angle I + Angle J = 180°Substitute Angle I in terms of Angle J. We know that the angles are supplementary and they add up to 180 degrees.
If we know the measure of one of the angles, we can find the measure of the other angle as well.So ,Angle I = 180° - Angle JNow, substitute the value of Angle I in the above equation.Angle I + Angle J = 180°(180° - Angle J) + Angle J = 180°180° - Angle J + Angle J = 180°
Thus, Angle J is equal to 90°.Hence, the measure of Angle J is 90°.
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2. A company owns two flourmills (A and B) which have different production capacities for HIGH, MEDIUM and LOW grade flour. This company has entered contract supply flour to a firm every week with 12, 8, and 24 quintals of HIGH, MEDIUM and LOW grade respectively. It costs the Co. $1000 and $800 per day to run mill A and mill B respectively. On a day, mill A produces 6, 2, and 4 quintals of HIGH, MEDIUM and Low grade flour respectively. Mill B produces 2, 2 and 12 quintals of HIGH, MEDIUM and LOW grade flour respectively. How many days per week should each mill be operated in order to meet the contract order most economically. Solve the problem graphically.
Answers
Mill A and Mill B should be operated for 6 days each in order to meet the contract order most economically
Understanding Economic Production of FlourLet's define the variables:
- Let 'x' represent the number of days mill A is operated per week.
- Let 'y' represent the number of days mill B is operated per week.
We need to minimize the cost function, which is the sum of the operating costs for both mills:
Cost = 1000x + 800y
Now, let's consider the production constraints:
For the HIGH grade flour:
Mill A produces 6 quintals per day, so the total weekly production is 6x.
Mill B produces 2 quintals per day, so the total weekly production is 2y.
To meet the contract requirement of 12 quintals per week, we have the constraint:
6x + 2y ≥ 12
For the MEDIUM grade flour:
Mill A produces 2 quintals per day, so the total weekly production is 2x.
Mill B produces 2 quintals per day, so the total weekly production is 2y.
To meet the contract requirement of 8 quintals per week, we have the constraint:
2x + 2y ≥ 8
For the LOW grade flour:
Mill A produces 4 quintals per day, so the total weekly production is 4x.
Mill B produces 12 quintals per day, so the total weekly production is 12y.
To meet the contract requirement of 24 quintals per week, we have the constraint:
4x + 12y ≥ 24
The graph will have the axes 'x' and 'y' representing the number of days mill A and mill B are operated, respectively.
Let's solve the problem graphically:
To plot each constraint, we can convert them into linear equations:
1) 6x + 2y ≥ 12
Rewrite as: 3x + y ≥ 6
Plot the line: 3x + y = 6
From the graph, Mill A should be operated for 2 days per week while Mill B should be operated for 6 days per week.
2) 2x + 2y ≥ 8
Rewrite as: x + y ≥ 4
Plot the line: x + y = 4
From the graph, Mill A should be operated for 4 days per week while Mill B should be operated for 4 days per week.
3) 4x + 12y ≥ 24
Rewrite as: x + 3y ≥ 6
Plot the line: x + 3y = 6
From the graph, Mill A should be operated for 6 days per week while Mill B should be operated for 2 days per week.
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You have a 12 inch by 14 inch picture that you framed. When you hung the picture, you found that the entire area is 261.44 inches squared. What is the width of the frame?
Answers
The width of the frame is 1 inch.
To determine the width of the frame, we must subtract the area of the picture from the total area.
Therefore: total area - picture area = frame area
261.44 - 168 = 93.44 square inches
The frame area can also be calculated by multiplying the frame width by 2 (since there are two sides of the frame) and adding it to the picture dimensions.
Thus:2w + 12 = length2w + 14 = width where w is the width of the frame.
Using the above equations, we can solve for w: 2w + 12 = 14, 2w = 2, and w = 1
Therefore, the width of the frame is 1 inch.
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HELP FIND TRIANGLE GRAPH TRANSFORMATION
Answers
The triangle after the reflection over the line y = x has image points: (x'k), (5,-2), and (-6,-1). The corresponding preimage points are: (3,4), (4,3), and (-2,5).
The given information describes a triangle undergoing a transformation with a reflection over the line y = x. Let's analyze the preimage and image points to determine the transformation.
Preimage points: (3,4), (4,3), and (-2,5)
Image points: (x'k), (5,-2), and (-6,-1)
Since we know the reflection is over the line y = x, we can determine the image points by swapping the x and y coordinates of the preimage points. Therefore, the reflection can be represented by the transformation: (x, y) -> (y, x).
Applying this transformation to the preimage points, we get the image points as follows:
(3,4) -> (4,3)
(4,3) -> (3,4)
(-2,5) -> (5,-2)
Now we can check if the image points match the given image points:
(4,3) matches (x'k)
(3,4) matches (5,-2)
(5,-2) matches (-6,-1)
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Using Company A's calling plan, the cost of an overseas phone call is a $0.85 connection fee plus 28 cents per minute. If the total cost of the call is $14.85, how long is the phone call?
Answers
Answer:
50 minutes
Step-by-step explanation:
28 cents = $0.28
Let the call be for x minutes
Total cost = connection fee + x*cost per minute
14.85 = 0.85 + 0.28x
14.85 - 0.85 = 0.28x
0.28x = 14
x = 14/0.28
x = 50
Answer:
50 min
Step-by-step explanation:
Let the call be for x minutes
14.85 = 0.85 + 0.28x
0.28x = 14
x = 14/0.28 = 50
1. Solve for x.
(4x + 1)º
47°
Answers
Answer:
x = 33
Step-by-step explanation:
(4x + 1)° and 47° lie on a straight line and sum to 180° , that is
4x + 1 + 47 = 180
4x + 48 = 180 ( subtract 48 from both sides )
4x = 132 ( divide both sides by 4 )
x = 33
The value of x is:
x = 33Work/explanation:
The two angles form a linear pair, which means they add to [tex]\sf{180^o}[/tex].
Because they add up to 180, we can set up an equation to find x.
[tex]\sf{4x+1+47=180}[/tex]
Combine like terms on the left side
[tex]\sf{4x+48=180}[/tex]
Subtract 48 on each side
[tex]\sf{4x=132}[/tex]
Divide each side by 4
[tex]\sf{x=33}[/tex]
Hence, x = 33.