The graph equation to be plotted will be: y = 2x + 4
How to draw graphs from equations?
Use the equation y=mx+b. All you have to do is change the variables in this formula to graph a linear equation.
Make a graph. The easiest type of graphing is a linear equation because there are no calculations necessary before graphing. Draw a simple Cartesian coordinate plane.
Locate the graph's y-intercept (b). If we use the equation y=2x-1 as an example, we can see that the number "-1" is where you would find the letter "b" in the equation. As a result, the y-intercept is "-1."
Locate the slope. The slope in the case of y=2x-1 is the value that corresponds to the letter "m." Therefore, based on our example, the slope is "2."
Draw a boundary. Once you have used the slope to indicate at least one additional coordinate, you may join that coordinate with your y-intercept coordinate to create a line. The line should be extended to the graph's edges, and arrow points should be added to its ends to indicate that it never ends.
Hence, The line equation is y = 2x + 4.
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Express the ratio below in its simplest form.
15:10
Answer:
3:2
Step-by-step explanation:
Divide 15 and 10 by 5.
1
2
4
5
Beth filled 56 jars with paint.
If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
Beth used
gallons of paint
Answer:
7
Step-by-step explanation:
store A charges 12.50 for a custom shirt with 0.40 per each custom character store b charges 14.75 for the same shirt but charges 0.25 per each custom characyer would make the cost from both stores the same
Answer:
15 shirts
Step-by-step explanation:
Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same
A: 12.5 + 0.40x
B: 14.75 + 0.25x
12.5 + 0.40x = 14.75 + 0.25x
subtract 12.5 from both sides:
12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5
0.40x = 2.25 + 0.25x
subtract 0.25x from both sides:
0.40x - 0.25x = 2.25 + 0.25x - 0.25x
0.15x = 2.25
divide both sides by 0.15:
0.15x/0.15 = 2.25/0.15
x = 15
I will mark brainliest if u answer this question right! REMEMBER TO EXPLAIN ON HOW U KNOW!
Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? Explain why or why not.
Answer:
No
Step-by-step explanation:
To calculate how much fence is needed we need to calculate the perimeter NOT area.
P = 2L+2W
P =2(6.75)+2(4 2/3)
P = 13.5 + 9 1/3
P = 22 5/6
Because she only has 22 yards she does not have enough to go all the way around.
Hope this helps and brainliest please
Answer:
No
Step-by-step explanation:
the perimeter is 22.7 she is approximately .7 off
Learning Task 1: Perform the in
your notebook.
1.) (12 + 3) - 7 = N
2.) 4 (6 + 8) = N
3.) 25 = 5 + 9 = N
Answer:
Step-by-step explanation:
1. 8
2. 56
3. 45
Consider the function shown on the graph.
8
6
4
N
-8
-10
0
-6
→X
10
-2
2
4
0
8
이
-2
-4
-6
-8
Complete the statements to make them true.
9514 1404 393
Answer:
domain: x ≥ -5range: y ≥ -2Step-by-step explanation:
The domain is the horizontal extent of the graph. The graph extends to higher x-values from a minimum of -5. The domain is x ≥ -5.
The range is the vertical extent of the graph. The graph extends to higher y-values from a minimum of -2. The range is y ≥ -2.
Write the Roman Numeral CXXXIV in standard???
Answer:
Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add
C=100 3X=30 IV=4
100+30+4=134
CXXXIV=134
You want to restrict the domain of the function shown in the graph below to make it one-to-one so that it will have an inverse. What are the largest domains, in interval notation you could use
Answer:
(-∞, -3] or [-3, ∞)
Step-by-step explanation:
You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.
One-to-oneA one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.
ApplicationFor that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).
The largest intervals on which the function has an inverse are ...
(-∞, -3] or [-3, ∞)
<95141404393>
To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.
Explanation:To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.
If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.
For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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convert this statement into a conditional statement: 2 angles that add up to 180 degrees are supplementary
large rectangle below is divided into two
smaller regions; shaded and unshaded. The area of
the whole rectangle is: 5x² + 4x - 8. The area of
the shaded region is: 2x² + 7x. What is the area of
the unshaded region?
The area of the unshaded region is 3x²-3x-8
What is area of rectangle?
A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
The area of a rectangle is expressed as;
A = l× w
Area of the unshaded part = Area of the whole rectangle - area of shaded part
Therefore area of the unshaded part =
5x²+4x-8 -(2x²+7x)
= 5x²+4x-8 -2x²-7x
collect like terms
5x²-2x²+4x-7x-8
= 3x²-3x-8
therefore the area of the unshaded part is 3x²-3x-8
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Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
Simplify.
2567 · 162
Answer:
151 * 17 * 3^4 * 2
Step-by-step explanation:
2567 | 17
151 | 151
1
162 | 2
81 | 3
27 | 3
9 | 3
3 | 3
1
Answer:
415854.
Step-by-step explanation:
A multiplication.
Using a calculator it is:
415854,
Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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Use the distributive property to remove the parentheses (x+12)8
15 pies a m regla de 3
Answer:
5m
Step-by-step explanation:
regla de 3:
1m = 3ft
15 pies ÷ 3 = 5m
experimento aleatorio con orden,remplazo y sin repeticion
A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
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Random experiment with order, replacement and without repetition
Can you help me in this question?
(Also please write me how to solve it and ill check the answer if it is true then i will make you the brainliest.)
Answer:
C
Step-by-step explanation:
2m + 3m = 5m
9m - 5m = 4m
11m - 6m = 5m
Therefore, the expression 11m - 6m is equivalent to 2m + 3m
(as they both equal 5m)
Answer:
C. The expression 11m - 6m is equivalent to 2m + 3m.
Step-by-step explanation:
9m - 5m = 4m
11m - 6m = 5m
2m + 3m = 5m
HELP!! The total cost for four people to bowl one game is $21. Each person paid $1.50 to rent their shoes, in addition to the cost of the game, c. Which of the following equations could be used to find the value of c?
4( c + 1.5) = 21
4( c + 6) = 21
4 c + 1.5 = 21
4 c - 6 = 21
Answer:
4(c + 1.5) =21
Step-by-step explanation:
the answer is up below
2. Solve the following pair of simultaneous equations
0.6x - 4y=-1
1
0.8x -3.5y =0.5
2
Answer:
After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}
Step-by-step explanation:
We need to solve the pair of simultaneous equations
\(0.6x-4y=-1\\0.8x-3.5y=0.5\)
We can solve using substitution method.
Let:
\(0.6x-4y=-1--eq(1)\\0.8x-3.5y=0.5--eq(2)\)
Find value of x from eq(1) and put it in eq(2)
\(From \ eq(1):\\0.6x-4y=-1\\0.6x=-1+4y\\x=\frac{-1+4y}{0.6}\)
Putting in equation 2
\(0.8x -3.5y =0.5\\0.8(\frac{-1+4y}{0.6})-3.5y=0.5\\1.33(-1+4y)-3.5y=0.5\\-1.33+5.32y-3.5y=0.5\\-1.33+1.82y=0.5\\1.82y=0.5+1.33\\1.82y=1.83\\y=\frac{1.83}{1.82}\\y=1.00\)
So, we get value of y= 1.00
Now finding value of x by putting value of y in eq(1)
\(x=\frac{-1+4y}{0.6}\\x= \frac{-1+4(1.00)}{0.6}\\x=\frac{3}{0.6}\\x=5\)
We get value of x = 5
So, After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}
I have about 10 minutes pls help
In triangles ABC and PQR, the ratio of the measure of side AB and side PQ is 2 : 3 and the ratio of the measure of sides BC and QR is 2 : 3. Thus, AB/PQ = BC/QR. Also, the m∠B = m∠Q. The ratio of two pairs of corresponding sides is congruent and the included angle is equal. Hence, ΔABC ~ ΔPQR by SAS similarity theorem.
What is SAS similarity theorem?SAS similarity theorem is a theorem in geometry that stands for "Side-Angle-Side Similarity Theorem".
This theorem states that if two triangles have two pairs of corresponding sides that are proportional in length, and the included angles between these sides are congruent (have the same measure), then the two triangles are similar.
We can see that examining the two triangles, it is clear that it is in line with SAS similarity theorem.
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A portion of the quadratic formula proof is shown. Fill in the missing statement
Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation
x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation
the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Rewrite the perfect square trinomial on the left side of the equation as a binomial squared
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a squared Take the square root of both sides of the equation
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a Simplify the right side of the equation
? Subtract the quantity b over 2 times a from both sides of the equation
x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
The missing statement is the quadratic formula and the correct option therefore is the third option;
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times aWhat is the quadratic formula?The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)
The statements and reasons can be presented algebraically as follows;
Statements \({}\) Reasons
\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\) Find a common denominator on the
right side of the equation
\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\) Add the fractions together on the
\({}\) right side of the equation
\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\) Rewrite the perfect squared equation
\({}\) to the left side of the equation as a
\({}\) binomial squared
\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\) Take the square root of both sides of the
\({}\) equation
\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\) Simplify the right side of the equation
The correct option is therefore;
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Answer:
A
Step-by-step explanation:
i took the test
have a great day :) .!
A cylinder of radius 12cm and height 9cm.
f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than f; the maximum value of g and y-intercept are not equal; first g increases and the it decreases. Graph function g
The equation is \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\) Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
Define the term graph?To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:
\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)
Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
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Angela bought 4 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? Use 1 gallon = 3.785 liters
Answer:
no sé amigo Thu tcug
Step-by-step explanation:
v8ftuuurk
If the polygon is translated 2 units down and 4 units left what will the coordinates of the new image be? Use prime notation in expressing the new coordinate
Answer:
A’ is (3,-3)
B’ is (-1,-4)
C’ is (-1,2)
D’ is (3,1)
Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me
Question 9 Multiple Choice Worth 5 points)
(02.07 HC)
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior
Step 1: m2x +mzy + mzz = 90 degrees (sum of adjacent angles)
Step 2: mzw+mzz = 180 degrees (supplementary angles)
Step 3: Therefore, mzx+may+mzz = mzw+mzz
Step 4: So, m2x + m2y = mzw
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be mex + m2y + m2z = 180 degrees (sum of angles of a triangle)
Step 1; it should be mex + m2y + m2z = 180 degrees (corresponding angles)
Step 2; it should be mzw+mzz = 90 degrees (supplementary angles)
Step 2; it should be mzw+mzz = 90 degrees (adjacent angles)
Answer: Option (1)
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
please show the formula and answer
Answer: The answer should be 35.98 ( or 7π + 14 )
Step-by-step explanation:
The perimeter of a semicircle is half of the circumference plus the diameter. First, we find the circumference, which is (2πr). π * 7 * 2 = 14π. Since we have the circumference, we have to divide it by 2 since it's a semicircle. 14π/2 = 7π. Our next step is to find the diameter. Since the radius of the semicircle is 7, we multiply it by 2. 7 * 2 = 14. Now, let's say that (π = 3.14). So (7 * 3.14) + 14, 21.98 + 14 = 35.98. The answer should be 35.98.
Hope this helps. (and please respond if I'm wrong)
An Economist consultant needs to forecast the unit cost of a product for the next year. He notes
that each unit of the product requires 10 labor hours and 5 kg of raw material. In addition, each
unit of the product is assigned an overhead cost of ETB 200. He estimates that the cost of a labor
hour next year will be normally distributed with an expected value of ETB 45 and a standard
de useviation of ETB 2; the cost of raw material will be normally distributed with an expected value
of ETB 60 and a standard deviation of ETB 3.
A. Find the distribution of the unit cost of the product.
B. Find its expected value and variance.
A. The unit cost of the product follows a normal distribution with an expected value of ETB 305 and a standard deviation of ETB 5.
B. The expected value of the unit cost of the product is ETB 305 and the variance is ETB 25.
How do you calculate a standard deviation?In order to calculate the standard deviation, follow the following steps:
1. Calculate the mean (average) of your data set.
2. For each data point, subtract the mean and square the result (the squared difference).
3. Sum all of the squared differences.
4. Divide the sum by the number of data points. This gives you the variance.
5. Take the square root of the variance to get the standard deviation.
Therefore, the correct answer is as given above
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Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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