Construct the graph of the equation given by solving for the intercepts. Show all of the steps in finding the intercepts and then
plot the intercepts to create the graph. Label the intercepts, as well as the axis on the graph.
2x+3y=6
Answers
The slope and the intercepts of the graph are determined.
Given:
the equation is :
2x+3y=6
we first find the slope of the equation:
m = -a/b
m = -2/3
now solve the intercepts:
to find x intercept, substitute in 0 for y and solve for x.
⇒ 2x+3y=6
⇒ 2x+3(0)=6
⇒ 2x+0=6
⇒ 2x=6
⇒ x=6/2
⇒ x=3
hence we get (3,0)
now, to find y intercept, substitute in 0 for x and solve for y.
⇒ 2x+3y=6
⇒ 2(0)+3y=6
⇒ 0+3y=6
⇒ 3y=6
⇒ y=6/3
⇒ y=2
hence we get (0,2) as the intercepts.
Therefore we plot the required graph.
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Related Questions
A sphere has a diameter of 24 mm.
What is the volume of the sphere?
O 487 mm³
O 1927 mm³
O 23047 mm³
O I don't know.
Answers
The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Given:
A sphere has a diameter of 24 mm.
Radius r = diameter/2
= 24/2
r = 12 mm.
volume of sphere = 4/3π[tex]r^{3}[/tex]
= 4/3 * 22/7 * [tex]12^{3}[/tex]
= 88*[tex]12^{3}[/tex]/21
= 88*1728/21
= 152064/21
= 7241.142 m[tex]m^{3}[/tex].
Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
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what is 10x - 5 = 105
Answers
Answer:
x =11
Step-by-step explanation:
report this so that girl in the comments can give you an answer
Answer: -50
Step-by-step explanation:
Please help, what is the common side of the triangles ABC and DCB?
Answers
BC is the common side of both the triangles.
Answer:
BC
Step-by-step explanation:
Common side in both triangles is BC
Sides of ΔABC,
AB ; BC and AC
Sides of ΔDCB,
DC, BC and DB
12 < y (8 - y)
SHOW WORK PLS
Answers
Answer:
2<y<6
Step-by-step explanation:
12 < 8y-y^2
y^2 -8y +12 <0
(y-6)(y-2)<0
y < 6
y < 2
2. 6
- - +
- +. +
+. - +
2<y<6
the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years? responses 0.05 0.05 0.06 0.06 0.10 0.10 0.40 0.40 0.50
Answers
Option D is the right choice.
It is discovered through the use of conditional probability that there is a 0.4 = 40% chance that it will stop working in less than 2 years.
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Conditional Probability:
P (B / A) = P (A∩B) / P (A)
Here:
P(B / A) is the likelihood that event B will occur in the absence of event A.
P (A∩B) is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
As per the question:
Event A: Delivery was harmed.
Event B: Fails to function after less than two years.
P (A) = 0.1 due to the probability of being damaged during delivery being 0.1.
P (A∩B) = 0.04 because there is a 0.04 likelihood that it will be damaged during the delivery and stop working.
The likelihood under the condition is:
P (B / A) = P (A∩B) / P (A) = 0.04 / 0.1 = 0.4
0.4 = 40% chance that it will stop working in under two years.
Therefore, option D is correct.
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1/4(8x+12)=-15 ''solve''
Answers
After solving the value of x in the equation is x [tex]=[/tex] -9 .
In the question ,
it is given that ,
the equation is 1/4(8x+12) = -15
Applying the associative property of multiplication ,
we get ,
8x/4 + 12/4 = -15
cancelling out the common factor 2 from numerator and denominator ,
we get ,
2x + 3 = -15
Subtracting the number 3 from both sides of the equation ,
we get ,
2x = -15 - 3
2x = -18
Dividing both sides of the equation above by the number 2 ,
we get ,
x = -18/2
x = -9
Therefore , After solving the value of x in the equation is x [tex]=[/tex] -9 .
The given question is incomplete , the complete question is
Solve the given equation for x ?
1/4(8x+12)= -15
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square tile measures 12 inches on each side. If 1 inch = 2.54 centimeters, determine the area of the tile in square centimeters. Round the answer to the nearest square centimeter. 30 cm2 144 cm2 366 cm2 929 cm2
Answers
The area of the tile in square centimeters is 929cm2
The area in square centimeters is calculated as follows
First, let convert the tile measures 12 inches on each side into centimeters
1 inch = 2.54 centimeters
= 12 x 2.54
= 30.48 centimeters
Next is to find the area of the tile in square centimeters
The area of square = (side) x (side) square units
= 30.48 centimeters x 30.48 centimeters
= 929.0304
= 929 square centimeters (rounded)
So, the area of the tile in square centimeters is 929 square centimeters
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Answer:
The area of the tile in square centimeters is 929cm2
Step-by-step explanation:
I took the exam and got it right
Triangles UVW and VUX are congruent identifier common sides are angles.
Answers
Answer:
Common side: UV
Step-by-step explanation:
Rotate the yellow dot to a location of two pi radians. After you rotate the angle, determine the value of cos 2pi, to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
What is the m (See image)
Answers
From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
As given in the question,
For the given figure,
Two lines AC and BD intersect each other at point E.
Measure of angles in the form of x is given as :
m∠AEB = (3x + 54)°
m∠DEC = (7x -30)°
∠AEB and ∠DEC are vertically opposite angles.
⇒m∠AEB = m∠DEC
⇒ (3x + 54)°= (7x -30)°
⇒ 7x - 3x = ( 54 + 30 )°
⇒ 4x = 84°
⇒ x = 21°
Hence,
m∠AEB = (3x + 54)°
⇒m∠AEB = (3(21) + 54)°
⇒m∠AEB = 117°
Therefore, from the given figure m∠AEB = (3x + 54)° and
m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
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write a congruence statement for the pair of triangles
Answers
The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.
What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.If two triangles satisfy one of the following conditions, they are congruent: The three corresponding side pairings are all equal. The comparable angles between two pairs of corresponding sides are equal. The corresponding sides between two pairs of corresponding angles are equal.So, the congruence statement of the given 2 triangles is as follows:
△RGB ≅ △DCS
∠G = ∠CGB = CS∠B = ∠SHence, △RGB ≅ △DCS under ASA condition.
Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.
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1. what would the effect have been on the calculated formula weight ([9] above) of your unknown as compared to the true formula weight if the solution had been blue green when you filtered your product? too high, too low, or unchanged? explain.
Answers
If the solution is blue-green, this indicates that some copper is still present in the solution and that not all of it has precipitated. Expect it to be too low because you will have less mass.
With very few exceptions, all copper(I) (cuprous) compounds are diamagnetic and colorless. Cu2O, Cu2Cl2, and cuprous sulfide are a few of the significant commercial compounds of copper(I) (Cu2S).
The molar mass of the element copper is determined by looking at its average atomic mass, which is 63.55 AMU on the periodic table. Since it is also our molar mass, we will now put it in a different unit: grams over moles (63.55 gmol). That is copper's molar mass.
If the solution is blue-green, there is still copper in the solution and not all of it has precipitated. Because you will have less bulk, anticipate it to be too low.
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720 divided by 50 gives the same answer as x divided by 100
what is the value of X
Answers
Answer:
Value of x is 1440
Step-by-step explanation:
According to the question,
720 ÷ 50 gives same answer as x ÷ 100
[tex] \therefore[/tex]
[tex] \rm \implies \dfrac{720}{50} = \dfrac{x}{100} \\ \\ \rm \implies x = \frac{720}{50} \times 100 \\ \\ \rm \implies x = 720 \times 2 \\ \\ \rm \implies x = 1440[/tex]
Write equations of the horizontal and vertical lines that pass through (-3,12).
Answers
Answer:
horizontal line: y = 12
vertical line: x = -3
Step-by-step explanation:
The horizontal line has 12 as the y-coordinate for all its points.
y = 12
The vertical line has -3 as the x-coordinate for all its points.
x = -3
Answer:
x = -3
y = 12
Step-by-step explanation:
For a point (x, y):
The first number represents the point's position on the x-axis.The second number represents the point's position on the y-axis.A horizontal line is represented by the equation y = a where (0, a) is the y-intercept of the line.
A vertical line is represented by the equation x = a where (a, 0) is the x-intercept of the line.
Therefore, for the given point (-3, 12):
x = -3y = 12the sum of 12 terms of an arithmetic series is 186 and the 20th term is 83. find the sum of 40 terms of the series.
Answers
The Sum of 40 terms of the Arithmetic Sequence is 3,420..
Arithmetic Series is defined as a sum of the terms of arithmetic progression or sequence.
An Arithmetic progression is a sequence of terms in which the difference between two consecutive terms is a constant number.
We have following information about series
sum of 12 terms of an arithmetic series (S₁₂) = 186
the 20th term of arithmetic sequence = 83
i.e., a₂₀ = 83
As we know that nth term of arithmetic progression is aₙ= a + (n-1)d
where , a---> first term of sequence
n ----> nth term
d -----> constant difference between two consecutive terms
put n= 20 in above formula we get,
83 = a + (20-1 )d = a+ 19d ----(1)
Now , Using the sum of n arithmetic terms formula, Sₙ = n/2 ( 2a + (n-1)d)
so, for n = 12
186 = 12/2 ( 2a + 11d ) => 2a + 11d = 31 ---(2)
Solving equations (1) and (2) we get,
27d = 135 => d = 5
putting the value of d in equation (1)
83 = a + 19×5 => a = 83 - 95 = -12
thus sequence is like as -12, -7 , -2 , ------
Sum of first 40 terms of arithmetic sequence (S₄₀) = 40/2 ( 2× (-12) + 39d ) = 20 ( -24 + 39×5)
= 20( 171) = 3,420
So, required result is 3,420..
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In the figure, m<7=100 degrees. Find the measure of each angle.
22.) <6
23.) <8
24.) <2
25.) <5
26.) <11
Answers
The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees
How to determine the measure of each angle?
Given: m<7=100 degrees
To find <6, <8, <2, <5 and <11
In the <7 is vertically opposite <5. Since vertically opposite angles are equal.
Thus, <5 = <7 = 100 degrees
Also, <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:
<5 + <6 = 180
100 + <6 = 180
<6 = 180 -100 = 80 degrees
Also, <6 and <8 are vertically opposite.
Thus, <8 = <6 = 80 degrees
<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees
Likewise, <11 and <7 are corresponding angles
Thus, <11 = <7 = 100 degrees
Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively
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M3L3
As Long, As Wide
David's kitchen has an area of 60 square feet. The kitchen is 6 times as many square feet as
David's pantry. If the pantry is 2 feet wide, what is the length of the pantry? ")
First find the area of the pantry.
Solve on paper and check you answer on Zearn. -->
The area of the pantry is square ft.
8
9
Enter ✓
Answers
The area of the David's pantry = 10 square feet.
The length of the pantry = 5 feet.
Define the term area of the rectangle?The territory inhabited by a rectangle inside its 4 sides or limits is known as its area. The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.For the given question.
David's kitchen is 60 square feet in size. The kitchen is six times the size of the living room.Thus,
Area of kitchen = 6 x area of the pantry
60 = 6 x area of the pantry
area of the pantry = 60 / 6 = 10 square feet.
Area of the pantry = length x breadth
10 = length x 2
length = 10/2 = 5 feet.
Thus, the length of the pantry is found as the 5 feet.
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What is the slope of the line that contains points (2, 9) and (8, 7)?
Answers
Answer:
-1/3
Step-by-step explanation:
m = y2-y1/x2-x1 formula for slope
m = 7-9/8-2 Plug in the numbers
m = -2/6 Subtract 7-9 and 8-2
m = -1/3 Simplify
bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?
Answers
The current age of Jenny is 6 years.
Let the current age of Phil be = x years
So the current age of Bill is = 2x years
The current age of Jenny is = 2x-2 years
Sum of their ages is = x+2x+2x-2 = 5x-2 years
Now the age of their dad is = 2(5x-2) = 10x-4 years
Now after nine years,
Age of Phil = x+9
Age of Bill = 2x+9
Age of Jenny = 2x-2+9 = 2x+7
Sum of their ages = x+9+2x+9+2x+7 = 5x+25
New age of their father = 10x-4+9 = 10x+5
According to question, the required linear equation to solve the question is,
5x+25 = 10x+5
5x = 20
x = 4
Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years
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What is an equation of the line that passes through the points (-4, -3) and (8, 6)?
Answers
Answer: [tex]y=\frac{3}{4} x[/tex]
Step-by-step explanation:
We will create a point-slope equation to solve.
First, we need to find the slope.
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}= \frac{6--3}{8--4} =\frac{9}{12} =\frac{3}{4}[/tex]
Next, we will create our point-slope equation.
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
[tex]\displaystyle y--3=\frac{3}{4} (x--4)[/tex]
[tex]\displaystyle y+3=\frac{3}{4} (x+4)[/tex]
[tex]\displaystyle y=\frac{3}{4} x+3 -3[/tex]
[tex]\displaystyle y=\frac{3}{4} x[/tex]
a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?
Answers
The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.
What is scatterplot?A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.
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Help needed immediately!!!
By reading the 2 water levels below and subtracting them, work out the volume of the gold nugget in mL
(Show working out)
Answers
Answer:
volume = 3 ml
Step-by-step explanation:
the reading on the left without the nugget is 17 ml
the reading on the right with the nugget is 20 ml
volume of nugget = 20 - 17 = 3 ml
24m/s into mph. If your answer is a decimal, give it to 1 d.p
Answers
24 meters per second = 53.6865 miles per hour
53.6865 to 1 d.p = 53.7
Answer: 53.7
7. If f(x) = -3x² + 2x - 1 and f(x) = -1, solve for x.
Answers
The required values are x=0 and x=2/3.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
f(x) = -3x² + 2x - 1
Substitute f(x) = -1
-1 = -3x² + 2x - 1
-3x² + 2x - 1+1=0
-3x² + 2x = 0
x( -3x+2)=0
=> x=0,
-3x+2 = 0
-3x=-2
x=2/3
The required values are x=0 and x=2/3.
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A lines Y intercept is changed from -1 to 0 which way did it shift
Answers
By studying the change of the y-intercept, we can see that the shift is of one unit upwards.
In which way did the line shift?
We know that the original y-intercept of the line is y = -1, then the line is of the form:
y = a*x - 1
Where a is the slope.
Now we apply a vertical shift of N units, this is written as:
y = a*x - 1 + N
And we know that the new y-intercept is 0, so:
y = a*0 - 1 + N = 0
y = -1 + N = 0
-1 + N = 0
N = 1
The shift is of 1 unit up.
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The l of a rectangular field is 5 metres longer than its width. if the perimeter is 150 metres , find the width
Answers
Answer:
width = 35 m
Step-by-step explanation:
w is the width, then l = w + 5
Perimeter P = 2(l + w)
=> 150 =2(w + 5 + w)
75 = 2w + 5
2w = 70
w = 35
Here are the first 4 terms of a sequence.
3 9 15 21
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.
Answers
(ii) every time it adds on six (other than three)
b) 57
Higher Order Thinking You use a garden hose to fill a
vading pool. If the water level rises 11 centimeters every
minutes and you record the data point of (10, y), what is
he value of y? Use slope to justify your answer
Answers
The value of y = 110.
What is slope intercept form?
The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.
Rise of the water = 11
run = 1 min
slope m = 11/1 = 11.
The slope intercept form is
y = mx +b
after substituting the values, we get
m = 11,
x = 10and y = ?
y = 10 (11)
y = 110.
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A dam has a floodgate. When it is open, it lets out 10,000 gallons of water per minute.
How many gallons of water will it let out in 10 minutes?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000
Answers
Answer: C. 100,000 gallons
Step-by-step explanation:
10,000 gallons a minute.
10 minutes.
10,000 x 10 = 100,000.
Gallons: 10,000 20,000 30,000 40,000 50,000 60,000
Minutes: 1 2 3 4 5 6
... 70,000 80,000 90,000 100,000
... 7 8 9 10
18. Richard measured a house and its lot and made a scale drawing. The scale of the drawing was 1 inch: 2 feet. The backyard is 74 feet long in real life. How long is the yard in the drawing?
Answers
The length of backyard in drawing is 37 inch when 74 feet long in real life and scale of drawing is 1 inch: 2 feet.
What is proportion?A proportion is a form of ratio in which the denominator also contains the numerator. For example, the fraction of male deaths would be deaths to men divided by deaths to males + deaths to females (i.e. the total population). A population proportion is a percentage of the population that possesses a specific feature. Assume you have 1,000 persons in your population, with 237 of them having blue eyes. Blue eyes account for 237 of every 1,000 persons, or 237/1000.
Here,
as the given scale is 1 inch: 2 feet.
actual length of backyard=74 feet
length of backyard in drawing is x inch,
1/2=x/74
2x=74
x=37 inch
The length of the backyard in the drawing is 37 inches, although it is 74 feet long in real life, and the scale of the drawing is 1 inch: 2 feet.
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