The Equivalent equation using the Subtraction Property of Equality is y = 2.
what is Subtraction Property of Equality?According to the Subtraction Property of Equality, if two equal items have an equal value subtracted from them or deleted, the result is a new equal amount. When two equivalent sides of a mathematical statement are separated by an equal sign, an equation is being expressed. The subtraction property is expressed as follows: If a = b, then a - c = b - c.In order to balance an equation, one must apply the same mathematical operation on both sides, which is known as the subtraction property of equality.If we have an expression as ( a + b ) = c
Then as per subtraction property of equality [ (a + b ) - b = c - b ]
Here given 9y = 4y + 10
Simplifying this equation, we get
⇒9y - 4y = 10
⇒( 9 - 4 )y = 10
⇒5y = 10
therefore, y = ( 10 ÷ 5 )
⇒y = 2
Therefore the equivalent equation is y = 2.
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A line passes through the point (10,2) and has a slope of -3/2
Write an equation in point-slope form for this line
Answer:
y=-1,5x+17
Step-by-step explanation:
(10,2) => x=10, y=2
a - slope
a=-1,5
y=ax+b -linear equation
2=(-1,5)*10+b
2=-15+b
b=17
y=-1,5x+17
Solve the following equation: 45-3x=18
I tried x=9 but it said it was wrong
Answer: x = [tex]\frac{15}{7}[/tex]
Step-by-step explanation:
To solve, we will isolate the variable by using reverse operations. You commented the proper equation is 45 - 3x = 18x
Given:
45 - 3x = 18x
Add 3x to both sides of the equation:
45 = 21x
Divide both sides of the equation by 21:
x = [tex]\frac{15}{7}[/tex]
each side of a square is increasing at a rate of 2 cm/s. at what rate is the area of the square increasing when the area of the square is 81 cm2?
The area of the square is increasing at a rate of 36 cm/s2.
What is the rate of expansion of a solid?
For physics, The term "thermal expansion" refers to a material's change in length, width, height, or volume when its temperature is raised or lowered. Solids exhibit particularly noticeable thermal expansion due to their closely packed atoms. There are numerous uses for the thermal expansion of solids in daily life.
A solid's atoms vibrate more quickly around their fixed positions when it is heated. As a result, there is little relative growth in the size of solids during heating. In order to prevent buckling when exposed to heat from the sun, metal train tracks feature tiny gaps.
Calculation
L = length of a side
A = L2
dA/dt = 2L dL/dt
dL/dt = 2 cm/s
A = 81 sqcm ⇒ L = √A = √81 cm = 9 cm
dA/dt = 2(9cm)(2 cm/s) = 36 sqcm
Hence the rate is the area of the square increasing is 36sqcm
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Using the rate of change of area ,
If the area of a square is 81 cm² the area of the square increases at a rate of 36 cm²/s.
Suppose that initially there were no squares, but suddenly squares began to form at a constant rate. At the end of the first second, the sides were 2 cm long each, and at the end of the second second they were 4 cm each. Therefore, we can say that the rate of change of increasing sides is 2 cm/s. If a square has a side of S cm, this is expressed mathematically.
dS/dt = 2 cm/s ---(1)
Since we know the area of the square is given by
A=S² cm²
the derivative of the area function shows the variation of area with respect to side S
dA/dS=2S
So , when area of square is 81 cm² , its side length is 9 cm. Since we need rate of change of area w.r.t. time, we need to multiply both the sides by dS/dt .
dA/dS×dS/dt=2S×dS/dt
=> dA/dt=2S×dS/dt
=> dA/dt = 2×9 ×2 = 36 cm²/s
Hence, the required area increasing rate is 36 cm²/s.
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15 divided by 5 plus 8 plus 2 times 8 using pemdas
Answer:
19
Step-by-step explanation:
P.E.M.D.A.S
2X8=16
15/5= 3
Answer:
27
Step-by-step explanation:
1) Write it out using operations
15 divide by 5 = 15 ÷ 515 ÷ 5 plus 8 = 15 ÷ 5 + 815 ÷ 5 + 8 plus 2 = 15 ÷ 5 + 8 + 215 ÷ 5 + 8 + 2 times 8 = 15 ÷ 5 + 8 + 2 × 82) Organise it into PEMDAS
P: There are no brackets
E: There are no exponents (powers)
M: We need to put 2 × 8 in brackets (to make sure we know what to do first
D: We need to put 15 ÷ 5 in brackets
A&S: As the numbers we need to add and subtract will be part of the brackets we can move on!
3) Solve!
First we need to do the brackets
2 × 8 = 1615 ÷ 5 = 3Then the rest
3 + 8 = 1111 + 16 = 27Hope this helps, have a great day!!
How do I make sure a parabola(quadratic function) equation goes through specific points using standard form? An example is an equation that goes through the points (-4,0), (3,0) and (2,-18).
NO TROLLS, PLEASE!
An equation that goes through the given points is [tex]y=3x^{2} +3x-36.[/tex]
What is the parabola equation?
A parabola is a graph of a quadratic function. An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.
Given points are (-4,0), (3,0), and (2,-18).
The equation of a parabola is [tex]y = \frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2}[/tex]
Since the point (−4,0) lies on the parabola, then [tex]0 = \frac{1}{4 \left(f - k\right)} \left(-4 - h\right)^{2} + k[/tex]
Since point (3,0) lies on the parabola, then [tex]0 = \frac{1}{4 \left(f - k\right)} \left(3 - h\right)^{2} + k[/tex]
Since point (2,−18) lies on the parabola, then [tex]-18 = \frac{1}{4 \left(f - k\right)} \left(2 - h\right)^{2} + k[/tex]
Solving the above all three systems, we get that [tex]h= -\frac{1}{2} , k = - \frac{147}{4}, f = -\frac{110}{3}[/tex]
Substituting the above value in the equation of a parabola, we get
The standard form is [tex]y=3x^{2} +3x-36.[/tex]
Hence, the required equation is [tex]y=3x^{2} +3x-36.[/tex]
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perfect square number is closer to 11
Answer:
9
Step-by-step explanation:
3 x 3 = 9
4 x 4 = 16
16 - 11 = 5
11 - 9 = 2
2 is less than 5 which makes it closer to 11.
Answer:
Ans = 9
Step-by-step explanation:
3 x 3 =9
4 x 4 =16
2 x 2 =4
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots)., Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sum is an odd number.
Write your answers as fractions.
5/36 is the probability that the sum will be bigger than 9, and 9/36 is the likelihood that the number will be divisible by either 5 or 6.
How to calculate a probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Probability has been incorporated into mathematics to predict the likelihood of different events.
Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.
Given ,
It may take the following forms:
(4,6),(5,5),(5,6),(6,5),(6,6)
The likelihood that the total exceeds 9 is 1/36+1/36+1/36+1/36+1/36
=5/36.
B) It can occur in the following ways:
(1,4),(4,1),(3,3),(3,2),(4,2),(5,1),(1,5),(6,4),(4,6)
the probability that the number is getting divisible by 5 or 6 or both is
1/36 +8 times
=9/36
Hence the probabilities are5/36 and 9/36.
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292500 to the nearest 1000
Answer:
293,000.
Step-by-step explanation:
Just round to the nearest thousandth, and add 500 since you originally had 292,500.
Answer:
Step-by-step explanation:
292500 to the nearest 1000 is 293000.
Julia measured a line to be 16.1 inches long. if the actual length of the line is 17.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement , to the nearest tenth of a percent is 5.9% .
In the question ,
it is given that
the actual length of the line = 17.1 inches
the length of the line measured by Julia = 16.1 inches
the percent error can be calculated using the formula
percent error = (actual length - measured length)/(actual length)
Substituting the actual and measured value in the formula ,
we get
percent error = (17.1 - 16.1)/17.1
= 1/17.1
= 5.84795
≈ 5.9%
Therefore ,The percent error of the measurement , to the nearest tenth of a percent is 5.9% .
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100 points + brainliest if its correct (; kinda bad at math
Explain the process to determine how many solutions the equation 16 - 2t = 5t + 2
has. Be specific.
Answer:
One solution which is x = 2
Step-by-step explanation:
Equations like these most often won't have more than one solution unless they are the exact same equation.
If the equation was x + 1 = x + 1, it would have infinitely many solutions because both sides are the same.
Equations with absolute value and quadratic equations most often have 2 solutions have there is a negative answer and a positive answer.
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
From the given exponential function y = 7.1(1.03)ˣ, the amount produced in 2006 was approximately 7.8 billion pounds and the estimated amount in 2014 will be approximately 9.8 billion pounds
Exponential FunctionAn exponential function is a function of form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
In the function given;
y = 7.1(1.03)ˣ
x = number of years after 2003a) What is the estimated number in 2006
x in 2006 = 3
x = 3
Insert the values into the formula above;
y = 7.1(1.03)³
y = 7.76 ≅ 7.8 billion pounds
b)
The cheese produced in 2014
x in 2014 = 11
Insert in the value and solve
y = 7.1(1.03)¹¹
y = 9.83 ≅ 9.8 billion pounds
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Ryan will drive his car in spain. the speedometer in the car shows the speed in miles per hour only. he will be driving on a road with a speed limit of 100 kilometres per hour. ryan uses this rule to find this speed in miles per hour.
Answer:
the conversion factor
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
Step-by-step explanation:
Finn is filling up an ice cream cone with a diameter of 4 cm. If the height of the cone is 6
cm, how much ice cream will the cone itself hold?
The cone can hold 8π [tex]cm^{3}[/tex] of ice cream or volume of cone is 8π [tex]cm^{3}[/tex] .
According to the question,
We have the following information:
Finn is filling up an ice cream cone with a diameter of 4 cm. And the height of the cone is 6 cm.
Diameter is twice that of the radius.
Radius of the cone = 4/2
Radius of the cone = 2 cm
We know that following formula is used to find the volume of the cone:
π[tex]r^{2} h[/tex]/3
Putting the value of r and h in this formula:
π*2*2*6/3
8π [tex]cm^{3}[/tex]
Hence, the cone can hold 8π [tex]cm^{3}[/tex] of ice cream.
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e.) if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour explain ?
pa help plsss with explanation
If the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour it is not possible.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour
Time = 2 hours
Distance = speed x time
Distance(for car ) = (65)(2) = 130 km
Distance(for bus ) = (75)(2) = 150 km
Total distance = 130 + 150 = 280 km
But the distance between car and bus is 350 km.
Thus, if the car's speed is 65 kilometers per hour if it possible that the bus speed 75 kilometers per hour it is not possible.
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The lengths of the four sides of a quadrilateral (in feet) are consecutive even integers
If the perimeter is 92 feet, find the value of the longest of the four side lengths.
The value of the longest of the four side lengths is 26 feet.
How to calculate the value?Let the integers be x, x + 2, x + 4 and x + 6.
Since the perimeter is given as 92 feet. This will be:
x + x + 2 + x + 4 + x + 6 = 92
4x + 12 = 92
Collect like terms
4x = 92 - 12
4x = 80
Divide
x = 80 / 4
x = 20
The longest side will be:
= x + 6.
= 20 + 6.
= 26 feet.
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HELP I DONT UNDERSTAND
the sampling distributions used for both matched/related/paired samples and independent samples statistical tests have what value at the center of the distribution for hypothesis testing?
The sampling distributions are used for statistical tets.
What is sampling distributions?A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a particular statistic based on a random sample. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.The use of sampling distributions in statistics is crucial because they significantly simplify the process of drawing conclusions from statistical data. They specifically enable analytical considerations to be based on a statistic's probability distribution rather than the joint distribution of the data.Hence,The sampling distributions are used for statistical tets.
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Graph f(x)=3x+4 and h(x)=f(x+3). pls
The graph of f(x) = 3x + 4 and h(x) = f(x + 3) are attached.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A linear function is represented as:
y = mx + b
Where m is the slope (rate of change) and b is the initial value of y.
f(x) = 3x + 4
h(x) = f(x + 3) = 3(x + 3) + 4 = 3x + 9 + 4
h(x) = 3x + 13
The graph of f(x) = 3x + 4 have a slope of 3 and y intercept of 4, while the graph of h(x) = f(x + 3) have a slope of 3 and y intercept of 13.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the value of x?
21
xº
38°
21
Drawing not to scale
The measure, x, which is of one of the base angles of the isosceles triangle in the question is 71°
The value of x is 71°
What is an isosceles triangle?An isosceles triangle is a triangle that has congruent base angles
The description of the specified triangle mare as follows;
The length of the sides are;
21 and 21
Therefore;
The triangle is an isosceles triangle
The base angles of an isosceles triangle are congruent, therefore;
The measure of the angle adjacent the angle x is also m∠x
Which indicates;
38° + x° + x° = 180° (Angle sum property of a triangle)
38° + 2·x° = 180°
2·x° = 180° - 38° = 142°
x = 142° ÷ 2 = 71°
x = 71°
The measure of the angle x is 71°
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3. Write an integer to represent 25 feet underground. Explain your answer.
Answer:
-25
Step-by-step explanation:
if you are 25 feet underground, you can use ground level as zero and go down from there.
Describe the transformation from f(x) to C(x). F(x) = IxI G(x) = |x - 31 + 5
The transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up
The parent function function is
f(x) = |x|
The second function is
g(x) = |x - 3| + 5
The transformation of the function or the shape is the change of the coordinates of the shape. The shape and the size will be same only the coordinates will change
The parent function
f(x) = |x|
First there is a horizontal shift, that is 3 units right
Then there will be a vertical shift, that is 5 units up
There is no reflection about x axis or any vertical compression
Hence, the transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up
The complete question is.
Describe the transformation from f(x) of g(x) where f(x) = |x| and g(x) = |x-3| + 5.
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The graph shows the height of a plant after a certain amount of time measured in days. Do you think that there may be a proportional Do you think that there may be a proportional relationship between the number of hours and the amount of snow that fell? Explain your reasoningrelationship between the number of days and the height of the plant? Explain your reasoning. The graph shows how much snow fell after a certain amount of time measured in hours.
None of the two graphs in this problem represents proportional relationships, as pairs of (input,output) have different ratios in each case.
What is a proportional relationship?A proportional relationship is modeled as follows:
y = kx.
Then the constant is given by:
k = y/x.
A relationship will be proportional only if for all points of the relationship, the constant k assumes the same value.
Two points of the relation between height and days are:
(30,10) and (50,20).
The constants are:
k = 10/30 = 1/3.k = 20/50 = 2/5.Different constants, hence not proportional.
For the second graph, the different constants are 2/2 and 2/3, as the two points of the second graph on the image at the end of the answer are:
(2,2) and (2,3).
Missing InformationThe image presented at the end of the answer give the two graphs in which we verify if they are proportional or not.
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Please help me! I have 15 minutes of the test left
Answer:
(0,15) The time it take to fill the ball with air
Step-by-step explanation:
On edge 2022
The points (-1 14) and (2 r) lie on a line with slope -2. Find the missing coordinate r.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{r}) \hspace{5em} \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{14}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-2} \\\\\\ \cfrac{r-14}{2+1}=-2\implies \cfrac{r-14}{3}=-2\implies r-14=-6\implies r=8[/tex]
Find the distance between each pair of parallel lines with the given equations.
1) y = -2
y = 4
2) x = 3
x =7
3) y = 5x - 22
y = 5x + 4
Select all the values of x that make the equation |3x + 4| − 9 = 0 true.
A. 1 2/3
B. −1 2/3
C. 4 1/3
D. −4 1/3
E. 5 2/3
F. −5 2/3
Answer:
A and D
Step-by-step explanation:
|3x + 4| − 9 = 0
|3x + 4| = 9
3x+4 = 9 v 3x+4 = -9
3x=5 v 3x=-13
x=⁵/₃ v x=-¹³/₃
x=1 ²/₃ v x=-4¹/₃
What is the y intercept?
Answer:
0
Step-by-step explanation:
The y -axis intercept also called the y intercept occurs when x = 0
y = 4/3 x put in x = 0
y = 4/3 (0) = 0
Answer:
The y-intercept is 0.
Step-by-step explanation:
The y-intercept is where the graph meets the y-axis.
maths question please help
The oven that has a higher price is the combination oven.
How to calculate the price?The normal price of the microwave will be illustrated as x. This will be:
(x - 1/3x) = 90.
2/3x = 90.
Cross multiply
2x = 3 × 90.
2x = 270
Divide
x = 270/2
x = 135
The normal price is £135
For the combination oven, the normal price will be:
(x - 0.4x) = 84
0.6x = 84
Divide
x = 84/0.6
x = 140
The price is £140
The combination oven is costlier.
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Estimate the difference.
17.98-2.596
Answer:
15.4
Step-by-step explanation:
Round: 17.98 to 18 and 2.596 to 2.6
Do the math: 18-2.6=15.4
Conclusion: We rounded the numbers (17.98 to 18 and 2.596 to 2.6). Then we did the subtraction and got our answer.
Therefore, your answer is 15.4.
