Answer:
What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?
Step-by-step explanation:
The equation of line that is parallel to the given line having slope m = -1 and passes through the point ( -3 , 1 ) is y = -x - 2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( -3 , 1 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
The slope of the line m = -1
Now , the line is parallel to the line passing through P
So , the slopes of the lines are equal
And , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 1 = -1 ( x - ( -3 ) )
y - 1 = -1 ( x + 3 )
Adding 1 on both sides , we get
y = -x - 3 + 1
y = -x - 2
Hence , the equation of line is y - 1 = -1 ( x + 3 )
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The table shows the outputs, y, for different inputs, x: Input (x) 2 5 9 12 Output (y) 20 15 12 8 Part A: Do the data in this table represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the relation f(x) = 5x + 14. Which relation has a greater value when x = 9? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 64? (5 points) (10 points)
The table is a function and the relation f(x) = 5x + 14 has a greater value when x = 9
Is the table a function?The table of values is given as:
Input (x) 2 5 9 12
Output (y) 20 15 12 8
In the above table of values, each x value have a unique y value.
This means that the table is a one-to-one relation
A one-to-one relation is a function
Hence, the table is a function.
The greater relation at x = 9The function is given as:
f(x) = 5x + 14
This gives
f(9) = 5 * 9 + 14
Evaluate
f(9) = 59
From the table, we have:
y = 12 when x = 9
Hence, the relation f(x) = 5x + 14 has a greater value when x = 9
The value of x if f(x) = 64We have
f(x) = 5x + 14
This gives
5x + 14 = 64
Subtract 14 from both sides
5x = 50
Divide by 5
x = 10
Hence, the value of x when f(x) = 64 is 10
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Please help answer needed asap
Answer:
A
Step-by-step explanation:
a = 3n-30 solve for 'n'
a + 30 = 3n
n = (a+30)/3
n(a) = (a+30)/3
what is the gradient and y-intercept of y+2n=5
Answer:
Step-by-step explanation:
A square garden has a side length of 5 ft. What is the area of the garden?
O 5ft²
O 10ft²
O 20ft²
O 25 ft²
formula is lsquare so answer is 25ft
Hi, can someone help please? Thanks! Calculate the correlation coefficient of the following data
Answer:
Option C is correct
Correlation coefficient of the following data is 0.37
Step-by-step explanation:
Correlation coefficient formula :
r = Σ [([tex]x - x_{m}[/tex]) × ([tex]y - y_{m}[/tex])] ÷ √ [Σ [tex](x - x_{m})^{2}[/tex] × Σ [tex](y - y_{m}) ^{2}[/tex]]
x = Data points in Data set x
y = Data points in Data set y
[tex]x_{m}[/tex]= Mean of Data set x
[tex]y_{m}[/tex]= Mean of Data set y
Now put all the values and sumation it as of given in the formula
Mean of Data set x = (1+4+8+6+2)÷5 = 21÷5 = 4.2
Mean of Data set y = (16+20+15+22+9)÷5 = 82÷5 = 16.4
Now put the values in the equation
r = Σ [(x - 4.2) × (y - 16.4)] ÷ √ [Σ [tex](x - 4.2)^{2}[/tex] × Σ [tex](y - 16.4) ^{2}[/tex]]
Now put every single value of x and y and after we will get the required Correlation coefficient.
And that is Correlation coefficient of the following data is 0.37
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30 POINTS AND BRAINLIEST PLS HELPP - Vanessa's bedroom floor is a rectangle 3m wide and 5m long. She chooses a new carpet that costs £20 per m squared. How much does the carpet cost??
Answer:
Carpet costs = 300£
Step-by-step explanation:
• First calculate the area of the floor:
Area of floor = length x width
= 5m² x 3m²
= 15m²
• As one m² of carpet costs £20, 15m² of carpet costs:
15 x 20
= 300£
please help me on how to solve for the distances
Answer:
B
Step-by-step explanation:
Suppose a simple random sample of size n = 36 is obtained from a population that is skewed right with μ = 75 and o = 24. What is P x > 80 ? Suppose a simple random sample of size n = 36 is obtained from a population that is skewed right with μ = 75 and o = 24. What is P x > 80 ?
Using the normal distribution, it is found that the probability that the sample mean is above 80 is of 0.1056 = 10.56%.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 75, \sigma = 24, n = 36, s = \frac{24}{\sqrt{36}} = 4[/tex].
The probability that the sample mean is above 80 is one subtracted by the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{80 - 75}{4}[/tex]
Z = 1.25
Z = 1.25 has a p-value of 0.8944.
1 - 0.8944 = 0.1056.
0.1056 = 10.56% probability that the sample mean is greater than 80.
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The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
(x minus 1) + x + (x + 1) = 42
(x minus 2) + x + (x + 2) = 42
x + 2 x + 3 x = 42
PLS HELP
Answer:
x+(x+1)+(x+2)=42
3x+3=42
3x=42-3
3x/3=39/3
x=13
Step-by-step explanation:
hope I helped
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
1 European euro = 1.3687 US dollars
Answer:
44.70 US dollars
Step-by-step explanation:
Begin by converting the Euros to US dollars by dividing 250 by 1.3687
250/1.3687=182.655
Then subtract 150
182.655-150=32.655
Multiply by 1.3687 to convert back to US dollars
32.655x1.3687=44.70
12.
(05.05 MC)
A survey asked, "If you were to buy a new vehicle, would you want a sport car or a sedan?" The results are presented in the following two-way table:
table:
Sedan Sport Total
Male 21 39 60
Female 135 45 180
Total 156 84 240
Which of the following is a two-way conditional frequency table for gender? (1 point)
A two-way conditional frequency table for this gender is shown in table A.
What is a frequency table?A frequency table can be defined as a type of table which is typically used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.
In this scenario, a two-way conditional frequency table for this gender would be constructed as follows:
Gender Sedan Sport Total
Male 0.35 0.65 1
Female 0.75 0.25 1
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2+2 I
dont know how but 4 was wrong guys am I not thinking right?
Answer:
Maybe the question could've been 2+2+1. I'd say read the question properly.
Step-by-step explanation:
In which case, 2+2+1= 5
D is the midpoint of AB and E is the midpoint of BC. If AC=48, what is the length of DE ?
Answer:
24 is the answer for the following
Step-by-step explanation:
please mark me as brainlest
Solve this question please
The expansion of the polynomial is given as:
[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The expansion is given as:
[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]
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please help!!!!
picture below
Answer:
7 ^ 6x + 2 = 7^15
taking log on both the sides
log 7^6x + 2 = log 7^15
6x + 2 log 7 = 15 log 7
log 7
solve the linear system by elimination. 4x-2y=15 2x+2y=3
Answer:
x=3 and y = -3/2
What is the elimination method?A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.
___________________________________
Let's solve your system by elimination.
4x−2y=15;2x+2y=3
4x−2y=15
2x+2y=3
Add these equations to eliminate y:
6x=18
Then solve 6x=18 for x:
6x=18
6x/6 = 18/6 (Divide both sides by 6)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x−2y=15
Substitute3 for x in 4x−2y=15:
(4)(3)−2y=15
−2y+12=15(Simplify both sides of the equation)
−2y+12+−12=15+−12(Add -12 to both sides)
−2y=3
-2y/-2 = 3/-2 (Divide both sides by -2)
y = -3/2
Answer:
x=3 and y = -3/2
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The sum of three consecutive multiples of 7 is 693. Find the no
Let x be a multiple of 7
The next two consecutive multiples of 7 are x + 7 and x + 7 + 7 (i.e. x + 14)Three consecutive multiples of 7 are
xx + 7x + 14According to the condition[tex] \\ \large\blue\longrightarrow\rm \large \:x \: + \: (x \: + \: 7) + (x \: + \: 14) \: = \: 693[/tex]
[tex] \large\blue\longrightarrow \rm \large \:3x \: + \: 21 \: = \: 693[/tex]
[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 693 \: - \: 21[/tex]
[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 672[/tex]
Dividing both sides by 3 , we have
[tex]\large\blue\longrightarrow \rm \large \: \frac{3x}{3} \: = \: \frac{672}{3} \\ [/tex]
[tex]\large\blue\longrightarrow \rm \large \: \ \: \frac{ \cancel3x}{ \cancel3} \: = \: \frac{ \cancel{672} \: \: ^{ \red{224}} }{ \cancel3} \\ [/tex]
[tex]\large\blue\longrightarrow \rm \large \:x \: = \: 224 \\[/tex]
x = 224x + 7 = 224 + 7 = 231x + 14 = 224 + 14 = 238Three consecutive multiples of 7 are
2242312382) You translate an object point 3 units to the right and 2 units down. Explain (with the aid of an equation) how you would find the coordinates of the image point. (4 marks)
Answer: By adding 2 to y and subtracting x by 3.
Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answer:
1/11
Step-by-step explanation:
probability =total number of items ÷ 1
=11÷1
=1/11
What is (-2)-(-2 1/6) and how do i get that answer?
Answer:
1/6
Step-by-step explanation:
-2 - (-2 1/6)
multiply the number in the parentheses by -1
-2 + 2 1/6
-2 + 2 cancels out
Leaving 1/6 as your answer.
georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1. if the length of side dc equals twelve inches, what is the length of side ut in the scale drawing?
The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.
The length DC = 12 inches
DC/UT = 4/1
12/UT = 4/1
UT = 12/4 = 3 inches
Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
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Answer:
3 in.
Step-by-step explanation:
Keep it simple :)
What is the measure (in radians) of central angle & in the circle below?
O
O
O
옥
26
ㅇ 역
12 cmy
0
14 cm
Answer:
7pi/6
Step-by-step explanation:
Using the formula for arc length in radians, we get:
14pi = 12(theta)theta = 7pi/6 [divide both sides by 12]Solve for w.
w^2-9w+18=0
Answer:
w = 3 or 6
Step-by-step explanation:
[tex]w {}^{2} - 9w + 18 = 0 \\ w {}^{2} - 6w - 3w + 18 = 0 \\w(w - 6) - 3(w - 6) = 0 \\ w - 3 = 0 \\ w - 6 = 0 \\ w = 3 \: or \: 6[/tex]
Absolute value of (-1, -3/7)
The absolute value of -1 is 1 and -3/7 is 3/7.
We have given that,
(-1, -3/7)
We have to determine the absolute value of (-1, -3/7)
What is the absolute value?The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].
Therefore the absolute value of -1 is 1 and -3/7 is 3/7.
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Someone please explain this step by step:
If\begin{align*}
2x-y&=3,\\
x+y &=1,
\end{align*}compute $8x-7y$.
Answer:
13
Step-by-step explanation:
Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.
__
solving the systemWe notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.
(2x -y) +(x +y) = (3) +(1)
3x = 4 . . . . . . simplify
x = 4/3 . . . . . divide by 3
The value of y can be found from the second equation:
4/3 +y = 1 . . . . substitute for x
y = -1/3 . . . . . . subtract 4/3
expression valueThe value of 8x-7y is found by substituting the x- and y-values into this expression:
8(4/3) -7(-1/3) = 32/3 +7/3 = 39/3 = 13
The value of 8x-7y is 13.
_____
Additional comment
You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:
5(2x -y) -2(x +y) = 5(3) -2(1)
10x -5y -2x -2y = 15 -2
8x -7y = 13
__
The coefficients 5 and -2 are found by solving the system of equations ...
a(2x -y) +b(x +y) ≡ 8x -7y ⇒ {2a +b = 8, -a +b = -7}
Work out the bearing of Y from W.
(Not drawn accurately)
Answer:
206°
Step-by-step explanation:
The bearing of y from w is the angle y makes with w moving from the north pole in clockwise direction.
So from the north pole, move in clockwise direction and stop at the line joining w and y
the angles there are 90+116= 206°
Therefore the bearing of Y from W is 206°
Here is an equation: 5x - 2y = 10
Create 3 equations that result in…
1. 1 solution
2. No Solutions
3. Infinitely many solutions
You should provide three different answers and an explanation why your equations work.
Answer:
one solution from the amount of numbers
the tabel show the time merrida spent driving and the number of miles she drove she drove the same number of miles each other
Answer:
35 miles per hour
Step-by-step explanation:
Speed of a car or any other object is given by distance divided by time taken.
therefore,
according to the given data in the table :
speed = miles covered/ time taken
= 140/4 = 35 miles per hour
= 175/5 = 35 miles per hour
= 210/6 = 35 miles per hour
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О A. 24
B. 12
О с. 92
D. 46
A
12
46°
46°
C
Answer:
I think A or C.
Step-by-step explanation:
Which statements about the location of the point are true? Select three options.
