Answer: y=-3x+5
Step-by-step explanation:
6x+2y=10
Solve for y
2y=-6x+10
y=-3x+5
Answer: y = -3x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b so all you need to do is put the equation into that format.
6x + 2y = 10
2y = 10 - 6x
y = -3x + 5
Una fracción con denominador 5 entre 0 y 1 ?
Answer:
1/5, 2/5, 3/5, and 4/5
Step-by-step explanation:
Dimensions of Box 2:x by 4x-1 by x^3
The volume of Box 2 is given by
Answer:
4x^5 – x^4
Step-by-step explanation:
i took it and was correct
How do you find the y-intercept with two ordered pairs?
Equation employing the slope-intercept method for two points
The slope-intercept version of the equation may be used to calculate the two-point Y-intercept.
The shape of a point-slope is\(\mathbf{Y-Y_{1} = m(X-X_{1})}.\)
Steps to find the y-intercept with two ordered pairs?
Determine the slope using two points.
\(Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}\)
As an illustration, two points are (3, 5) and (6, 11)
Slope = \(\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{11 - 5}{6 - 3} = \frac{6}{3} = 2\)
In the slope-intercept form of the equation, substitute the slope(m).
\(\\y = mx+b \\y = 2x+b\)
Either point may be substituted in the equation. You may either use (3,5) or (6,11).
\(\\y = 2x+b \\5 = 2(3)+b\)
Find the answer to the equation for b, the line's y-intercept.
\(\\5 \ \ \ = 2(3) + b \\5 \ \ \ = 6 + b \\\underline{-6\ = -6 \ \ \ \ \ \ \ } \\-1 = b\)
Substitute b, into the equation.
\(\\y = 2x + b \\y = 2x - 1\)
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problems 10−14, given the parent function and a description of the transformation, write the equation of th transformed function, f(x). 10. Absolute value-vertical shift down 5 , horizontal shift right 3 ..................................... 11. Linear-vertical shift up 5.......................... . 12. Square Root -vertical shift down 2 , horizontal shift left 7............................... 13. Quadratic-horizontal shift left 8................................... 14. Quadratic-vertex at (−5,−2)..............................
The transformed absolute value function has a vertical shift down 5 and a horizontal shift right 3. Its equation is f(x) = |x - 3| - 5.
The transformed linear function has a vertical shift up 5. Its equation is f(x) = x + 5.
The transformed square root function has a vertical shift down 2 and a horizontal shift left 7. Its equation is f(x) = √(x + 7) - 2.
The transformed quadratic function has a horizontal shift left 8. Its equation is f(x) = (x + 8)^2.
The transformed quadratic function has a vertex at (-5, -2). Its equation is f(x) = (x + 5)^2 - 2.
For the absolute value function, shifting it down 5 units means subtracting 5 from the function, and shifting it right 3 units means subtracting 3 from the input value. Thus, the transformed equation is f(x) = |x - 3| - 5.
For the linear function, shifting it up 5 units means adding 5 to the function. Therefore, the equation of the transformed function is f(x) = x + 5.
For the square root function, shifting it down 2 units means subtracting 2 from the function, and shifting it left 7 units means subtracting 7 from the input value. Hence, the transformed equation is f(x) = √(x + 7) - 2.
For the quadratic function, shifting it left 8 units means subtracting 8 from the input value. Therefore, the equation of the transformed function is f(x) = (x + 8)^2.
For the quadratic function, having a vertex at (-5, -2) means the vertex of the parabola is located at that point. The equation of the transformed function can be obtained by shifting the standard quadratic equation f(x) = x^2 to the left 5 units and down 2 units. Thus, the equation is f(x) = (x + 5)^2 - 2.
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Rewrite in simplest terms: (10x-5)-(8x-6)
Answer:
2x-1
Step-by-step explanation:
(10x-5)-(8x+6)
10x-8x-5+6
2x-1
The table above shows selected values for the function p .If p is a quadratic polynomial, what is the value of p(10) ? please show work
The value of p(10) we get as 123.
What is Quadratic polynomial ?
A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.
We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:
p(x) = ax² + bx + c
where a, b, and c are constants.
To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:
p(10) = a(10)² + b(10) + c
p(10) = 100a + 10b + c
We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.
From the table, we can see that:
p(0) = c = 3
p(1) = a + b + c = 6
p(2) = 4a + 2b + c = 11
Solving this system of equations, we get:
a = 1
b = 2
c = 3
Therefore, the quadratic polynomial p is:
p(x) = x² + 2x + 3
To find p(10), we substitute x = 10 in the above equation:
p(10) = (10)² + 2(10) + 3
p(10) = 100 + 20 + 3
p(10) = 123
Therefore, the value of p(10) is 123.
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The US consumes an average of 5.25 million metric tons of bananas per year. There are 317 million people in the US and there are 1000 kg in 1 metric ton. It costs $2.10 per kilogram of bananas. And how much money will this be per person every day?
Consumption of Bananas per year = 5, 250, 000 metric tons
We know 1000 kg = 1 metric ton, so
Consumption of Bananas per year (in kg) = 5, 250, 000 x 1000 = 5, 250, 000, 000 kgs
Cost of Banana = $2.10 per kg
So,
Cost of all bananas = 5, 250, 000, 000 x 2.10 = $ 11,025,000,000 (per year)
Taking a year to be 365 days, let's find the cost for a day:
\(\frac{11,025,000,000}{365}=\$30,205,479.4521\)Since there are 317 million [317,000,000] people in the US, the cost per person every day is:
\(\frac{30,205,479.4521}{317,000,000}\approx\$0.0952854\)Rounding to the nearest cent,
$0.10So, the amount (in dollars) per person every day = $0.10Answer$0.10You have reached the right row of shelves to find a book with the call number GT2853 A515 A48 2012. Which specific shelf would contain your book
Based on the call number GT2853 A515 A48 2012, your book would be located on the shelf that is labeled with the letters "GT" which typically corresponds to the subject area of anthropology.
Within the GT section, you would then look for the number range of 2853, followed by the letters A515, which further narrow down the subject matter of your book. Finally, the letters A48 indicate the author's last name, and the publication year of 2012 helps to differentiate any other books with similar call numbers. So, the specific shelf that would contain your book would be the one labeled with "GT 2853 A515."
To locate the book with the call number GT2853 A515 A48 2012, follow these steps:
1. Look for the shelves labeled with "GT" (the alphabetical portion of the call number).
2. Within the "GT" section, search for the numeric range that includes "2853" (the first number in the call number).
3. Once you've found the 2853 section, look for the "A515" subsection (the second part of the call number, usually in alphabetical and numerical order).
4. Lastly, locate the specific shelf containing "A48 2012" (the third part of the call number). This will lead you to the book you are looking for.
By following these steps, you will find the specific shelf that contains your book with the call number GT2853 A515 A48 2012.
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Does the table below represent a function? Why or Why Not?
Answer:
A.
Step-by-step explanation:
For the x value (6) there are two different output values(y) 5 and 6.
If it's a function then there must be one output value for every input.
an outlier in a data set can significantly affect the value of the mean but not the median. True or False
The required statement "outlier in a data set can significantly affect the value of the mean but not the median" is true.
What is mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
According to question:The average of a group of variables is referred to as the mean in mathematics and statistics.
There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Thus, given statement is true.
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What is the missing information for Statement 4 and 5?
The missing information for parts 4 and 5 will be the definition of midpoint and AH ≅ AH respectively.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that, ΔMAT is isosceles and point H is the midpoint of the MT.
The statement with their valid reasons is explained below,
As we know that in an isosceles triangle two sides are the same.As a result,
MA = TA
As H is the midpoint of the MT.
MH=TH
From the reflex property of congruence, AH≅AH
Thus, the missing information for parts 4 and 5 will be the definition of midpoint and AH ≅ AH respectively.
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Help me with the lesson performance task please !!!!
EASY PLS HELP i know it’s not C so pls tell me if it’s A B or D
at a picnic there are 10 sprites and 5 cokes. there are also 8 bags of cheetos and 12 bags of doritos. if you grab a drink and a bag of chips without looking, what is the probability that you grab a sprite and bag of cheetos?
The probability of grabbing a Sprite and a bag of Cheetos without looking is 4/15 or approximately 0.267 .
To calculate the probability of grabbing a Sprite and a bag of Cheetos, we need to determine the total number of possible outcomes and the number of favorable outcomes. There are 10 Sprites and 5 Cokes, so the total number of drink options is 10 + 5 = 15. Similarly, there are 8 bags of Cheetos and 12 bags of Doritos, so the total number of chip options is 8 + 12 = 20. To calculate the probability of grabbing a Sprite and a bag of Cheetos, we multiply the probabilities of each event.
The probability of grabbing a Sprite is 10/15, as there are 10 Sprites out of a total of 15 drink options. The probability of grabbing a bag of Cheetos is 8/20, as there are 8 bags of Cheetos out of a total of 20 chip options. Multiplying these probabilities together: (10/15) * (8/20) = 2/3 * 2/5 = 4/15. Therefore, the probability of grabbing a Sprite and a bag of Cheetos without looking is 4/15 or approximately 0.267 (rounded to three decimal places).
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Which of the following are not polynomials?
Please help asap! 100 points
A,C and D
Step-by-step explanation:
Option A,C and D are not polynomials.
Step-by-step explanation:
Polynomial functions are given by
p(x) = a₀ + a₁x¹+ a₂x²+ ...........+aₙxⁿ
Where a₀, a₁, a₂, ..., an are constant coefficients and n is non negative integer.
Option A
Here one exponent of x is -2, so this is not a polynomial function.
Option B
Here all the exponents are non negative integer, so this is a polynomial.
Option C
Here one exponent of x is 0.5, so this is not a polynomial function.
Option D
p(x)= x⁻²+x+1
Here one exponent of x is -2, so this is not a polynomial function.
Option E
Here all the exponents are non negative integer, so this is a polynomial.
Option A,C and D are not polynomials.
Answer:
A
D
Step-by-step explanation:
I believe those are correct however im not that good at this soooooo.
Good luck
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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i need to find x please help me with steps
Answer:
x = 19
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
154 = 6x+40
Subtract 40 from each side
154-40 = 6x+40-40
114= 6x
Divide by 6
114/6 = 6x/6
19 =x
Which equation and solution can be used to solve this problem?
Twenty-two less than a number is twenty-four.
A:q+22=24: Subtract 22 from both sides. The answer is 2.
O B:24+q=22: Subtract 22 from both sides. The answer is 2.
O C:q-24 22: Add 24 to both sides. The answer is 46.
O D:q-22-24: Add 22 to both sides. The answer is 46.
4
The equation that could be used to solve the problem q -22 = 24. The answer is 46. The correct option is D
Linear expressionsFrom the question, we are to determine which equation could be used to solve the given word problem.
The statement is
Twenty-two less than a number is twenty-four
If the number is q, twenty-two less than a number is
q -22
Thus,
Twenty-two less than a number is twenty-four means
q -22 = 24
This is the equation that could be used to solve the problem
Solving the problem
q -22 = 24
Add 22 to both sides
q -22 +22 = 24+22
q = 46
Hence, the equation that could be used to solve the problem q -22 = 24. The answer is 46. The correct option is D
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Point M is the midpoint of AB. The coordinates of point A are (-8, 1) and the coordinates of M are (-3,3).
What are the coordinates of point B?
The coordinates of point B are
Answer:
The coordinates of point B are (2, 5)Step-by-step explanation:
Point M being midpoint of AB means:
\(x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-(-3)=-3-(-8)\qquad\quad\wedge\quad\quad y_B-3=3-1\\\\x_B=-3+8-3\qquad\qquad\ \wedge\qquad\quad y_B=2+3\\\\x_B=2\qquad\qquad\ \wedge\qquad\qquad y_B=5\)
I need help with this I forgot
Answer:
x-axis is the horizontal line
y-axis is the vertical line
Top right= Quadrant 1
Top left=Quadrant 2
Bottom left=Quadrant 3
Bottom right=Quadrant 4
Y-axis (top to bottom)
6
5
4
3
2
1
0
-1
-2
-3
-4
-5
-6
x-axis(left to right)
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
Step-by-step explanation:
2. Trey decides to raise
the price of his
tomatoes from $5 a
basket to $6 a basket.
What is the percent of
increase?
Answer:
1
Step-by-step explanation:
Answer:
the answer to the question listed above would be 1
Step-by-step explanation:
pls pls help due in an hour if you get it right you'll get marked brainliest
Answer:
the first option
Step-by-step explanation:
the table does not have a constant rate of change so it is not linear.
x + 6 = 24
-6 = -6
_________
X = 18
━━━━━━━☆☆━━━━━━━
▹ Answer
This is correct.
▹ Step-by-Step Explanation
x + 6 = 24
-6 -6
↓
x = 18
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Simplify the following expression. 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4
Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p.
Here, we have,
Given, the expression 6(4 - 2p) + 9p
On simplifying, we get
24 - 12p + 9p
24 - 3p
So, on simplifying the given expression, we get
24 - 3p
Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p
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how to determine if a function crosses the horizontal asymptote
To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.
1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.
2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.
3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.
4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.
If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.
It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.
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for the person helping me ty
Step-by-step explanation:
I'm going to help you an edit this post
1 no
2 yes
3 no
4 no
5 yes
6 yes
Please someone help with this cone volume please
Answer:
the answer is
235.62m^3.
To construct a line passing through point c that is parallel to the line ab, the first step is to create a line through c perpendicular to ab. what is the next step?
Answer: Parallel lines are simply lines that extend in both directions, and do not intersect.
Line CD is guaranteed to be parallel to AB
From the attachment, we have the following observations
The line drawn from CD to AB is perpendicular to AB
Points C and D are on the same straight horizontal level
This means that, the line drawn from CD to AB:
Is perpendicular to CD
is perpendicular to AB
If a line is perpendicular to two other lines, then the two other lines are parallel.
So, we can conclude that:
Lines CD and AB are parallel
Step-by-step explanation:
Answer the question provided in the picture below. (Write a paragraph) 70 points and a brainiest.
en la escuela de Mario se construye una cancha de baloncesto a partir del dibujo a escala
Answer:que?
Step-by-step explanation:
Answer:
· Dibuja la cancha de Baloncesto con medidas a escala #escudomania #aprenderadibujar #dibujarfacil Hola, bienvenido a este canal #escudomania, aqui encontraras...
Step-by-step explanation: