hi
let take two points :
( 0; -1) and (4 ; 2)
here is a = 0 ; f(a) = -1
b = 4 ; f(b) = 2
Slope is : f(a) -f(b) / a-b
let's apply : -1 - 2 / 0-4 = -3/-4 = 3/4
Slope is 3/4
if you want to check result, you can calculate the coordonate of an other point and see if it match.
here I read that there is a point on the line for -4 ; -4
here I can read that Y axis value for X = 0 is -1
as a line is defined by : mx+p
with m = slope and p value for x = 0
so : p = - 1
with m = 3/4 ; x = -4 and p = -1
I can test my line equation and see if it match the result :
3/4 ( -4) - 1 = -12/4 - 1 = -3 -1 = -4
Result match what I see on the graph, so previous result is correct.
: Slope is 3/4
ps : if line grows, the slope can only be positive. if line decrease, slope is negative, if line is constant, then slope is still and equal 0
Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on blue)
The probability that the point of the spinner land on blue is 8.34%.
What is a pie chart?A pie chart is a type of chart that shows data in a circular graph.
We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:
We use the following formula to calculate a percentage of the data set: (Frequency ÷ Total Frequency) × 100We use the following formula to convert the data to degrees: (Given Data ÷ Total value of Data) × 360°On complete rotation of circle forms 360 degrees at the centre.
The total percentage of the all the colours is 100%.
Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.
The total percentage of blue shown by the pointer of spinner is 30%.
Probability P (pointer landing on blue) = 30/3.6
Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)
Therefore, the probability that the pointer lands on the blue is 8.4.
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Temperature Conversion
Show how you got your answer please!!
The formula for the temperature in ºC is:
[tex]C = \frac{5}{9}(F - 32)[/tex]
What is the temperature in Fahrenheit, given the temperature in Celsius?As shown in the problem, the rule is as follows:
F(C) = 9C/5 + 32.
We want to find the temperature in Celsius given the Fahrenheit temperature, hence we have to solve for C the above formula, hence:
9C/5 = F - 32
9C = 5(F - 32)
C = 5/9(F - 32).
For better notation I will use Latex, as follows:
[tex]C = \frac{5}{9}(F - 32)[/tex]
The above formula is the formula for the temperature in ºC.
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Which expressions are equivalent to 7^-2 x 7^6
Step-by-step explanation:
first find the answer of 7^2 and swap it then it will be 1 over 49 multiply with 1 over 7^6
Which of the following expressions are equivalent to (z+0)+y+0?
Choose all answers that apply:
A
z+y
® 1+0+ (y+0)
B
None of the above
The algebraic expression (z+0)+y+0 is equivalent to (z+y) by the identity property of addition.
An algebraic expression is a simple and random combination of constants and variables .
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
The identity property of addition states that when a constant number is added to zero the value of the expression remains the same.
Since the absolute value of 0 is nothing so adding or subtracting zero from a constant does not change the value of the constant.
I.e, g+0=0 here the value of g does not change.
Given (z+0)+y+0
We know from the identity property of addition:
z+0=z and y+0=y
Therefore the value of the expression is (z+y) .
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Work out the equation of the line which has a gradient of -2 and
passes through the point (1, 7)
Answer:
y = -2x + 9
Step-by-step explanation:
1) Use the equation y = mx + c (m being gradient and c being y-intercept)
2) Substitute all the values to get 7 = -2(1) + c
3) Solve to get c:
7 = -2 + c9 = c4) Final answer: y = -2x + 9
what's the slope-intercept form of the equation of (-5, -2) and (5, 4
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
What is the equation of the a in slop-intercept form?
Linear equations are first order polynomials whose slope-intercept form is introduced below:
y - y₁ = m · (x - x₁) (1)
Where:
(x₁, y₁) - Coordinates of a point lying on the line.m - Slopex - Independent variabley - Dependent variableAnd the slope of the line is determined by the secant line formula:
m = Δy / Δx (2)
Now we proceed to determine the equation of the line in slope-intercept form:
m = [5 - (-5)] / [4 - (- 2)]
m = 10 / 6
m = 5 / 3
y + 2 = (5 / 3) · (x + 5)
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
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WILL MARK BRAINLEST
Write a function g whose graph is a translation 4 units up of of the graph of f(x)=|x|-5
g(x)=
Answer:
Step-by-step explanation:
Can ya'll help me please? 50 points!!
-3/4
The | \ symbol mean how far it is from 0. - means its negative.
What is the probability of drawing a blue marble?
Service
Restaurant
Florist
Cab Fare
Dog
Groomer
Cost Gratuity Tax
$40
18%
$94
$32
12%
20%
8.5%
12%
0%
$62 26% 5.75%
Approximate the amount of tip for the florist by
rounding the cost and the percent gratuity to the
nearest ten.
$
Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9
What is the tip?When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.
When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.
The approximate tip is:
= 10% x 90
= $9
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d. What is the sum of the first ten terms of any Fibonacci-like sequence?
The sum of the first ten terms of any Fibonacci-like sequence is 88.
How to find the sum of the first ten terms of any Fibonacci-like sequence?The Fibonacci numbers, sometimes known as Fn in mathematics, are a series. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.
means
0+1 = 1
1+1 = 2
1+2 = 3
2+3 = 5,like this.
The Fibonacci sequence includes the numbers 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.
Sum = 0 + 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 = 88 is what we get when we add up the numbers in the series.
The first ten Fibonacci numbers sum is 88.
Hence, The sum of the first ten terms of any Fibonacci-like sequence is 88.
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Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 1,4,9,16, . . . . . .
The sequence 1,4,9,16, . . . is neither an arithmetic nor a geometric sequence. In fact, it is a quadratic sequence. The next two terms are: 25 and 36
Given a sequence:
1,4,9,16, . . . .
To determine whether the sequence is an arithmetic, geometric, or neither, we need to check the relation between two consecutive terms.
Arithmetic sequence:
a(n) = a(n-1) + d
or a(n) - a(n-1) = d for all n
where d is a constant and is usually called common difference.
Geometric sequence:
a(n) = a(n -1) . r
or a(n)/a(n-1) = r, for all n
In the given sequence:
a(1) = 1
a(2) = 4
a(3) = 9
a(4) = 16
Check the difference:
a(2) - a(1) = 4 - 1 = 3
a(3) - a(2) = 9 - 4 = 5
Since the difference between 2 consecutive sequence is not a constant, then the sequence is not an arithmetic one.
Check the ratio:
a(2)/a(1) = 4
a(3)/a(2) = 9/4
Since the ratio of 2 consecutive sequence is not a constant, then the sequence is not a geometric one.
Thus the given sequence is neither an arithmetic, nor a geometric sequence. In fact, it is a quadratic sequence. Notice that:
a(n) = n²
Hence, the next two terms are: 25 and 36
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What are the coordinates of the y-intercept? (-8, 3) and (-3, -4.5)
Based on the calculations, the coordinates of the y-intercept are (0, -9).
What is the y-intercept?In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0). Similarly, the x-intercept refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given parameters into the formula, we have;
Slope, m = (-4.5 - 3)/(-3 + 8)
Slope, m = -7.5/5
Slope, m = -1.5.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (-8, 3), we have:
y - 3 = -1.5(x + 8)
y - 3 = -1.5x - 12
y = -1.5x - 12 + 3
y = -1.5x - 9
Therefore, the coordinates of the y-intercept are (0, -9).
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F(x)=|x|+5; horizontal shrink of factor 3
the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
How to apply a horizontal shrink to a function?
For any function f(x), we define a horizontal shrink or compression by a scale factor K as:
g(x) = f(K*x)
In this case the function is:
f(x) = |x| + 5
And the scale factor is K = 3.
Then we can write the compression as:
g(x) = f(3*x)
Replacing the actual function we will get:
g(x) = f(3*x) = |3*x| + 5
Then the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
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a₁ is the first term of a sequence, r is a common ratio, and d is a common difference. Write the first five terms. a₁=2, r=-2
The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32
The given parameters:
a₁ = 2, r = -2
r is the common ratio, hence, the given sequence is a geometric sequence.
In a geometric sequence, the formula for the nth term is given by:
a(n) = a(1) . rⁿ⁻¹
We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,
a(n) = a(n -1) . r
Let us start from n = 1
a(1) = 2 (given)
a(2) = a(1) . r = 2 . (-2) = -4
a(3) = a(2) . r = -4 . (-2) = 8
a(4) = a(3) . r = 8 . (-2) = -16
a(5) = a(4) . r = -16 . (-2) = 32
Thus, the first five terms are 2, -4, 8, -16, 32
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Determine if the conjectures below are true or false. If false, give a counterexample. Two right angles are always supplemetary.
The conjecture is always true, two right angles are always supplementary.
A pair of angles are supplementary only when the sum of those angles equals to 180°. In such a case each angle is said to be the supplement of another.
In case of parallel lines and a transversal two co-interior angles are supplementary. The opposite angles of a cyclic quadrilateral are supplementary angles .
For two angles to be supplementary only the sum of the angles matter and they should always be 180°.
The numerical value of right angle is 90° .
Therefore the sum of two right angles will be 90°+ 90° = 180°
So the conjecture which states that two right angles are supplementary will always stand as the sum of two 90°s is always 180°.
Hence the conjecture is true.
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5.
Solve 0 = 4+ q.
9=0
Which statement shows the correct justification for the step used to solve the
equation?
O Add 0 to each side.
O Add 4 to each side.
O Subtract 0 from each side.
Subtract 4 from each side.
Answer:
subtract 4from each side
A strawberry milk recipe uses 3 teaspoons of strawberry syrup for every 8 ounces of milk. Part A: How many teaspoons of strawberry syrup per ounce of milk does this recipe use? Show Part B: your work. How many ounces of milk are needed per teaspoon of strawberry syrup? Show your work.
The number of teaspoons of strawberry syrup per ounce of milk this recipe use is 0.375 and the number of ounces of milk needed per teaspoon of strawberry syrup is 2.67
Part A: How many teaspoons of strawberry syrup per ounce of milk does this recipe use?The given parameters are
Teaspoons = 3
Ounces of milk = 8
The number of teaspoons of strawberry syrup per ounce of milk this recipe use is calculated as
Rate = Teaspoons/Ounces of milk
So, we have
Rate = 3/8
Evaluate
Rate = 0.375
Part B: How many ounces of milk are needed per teaspoon of strawberry syrupThe number of ounces of milk needed per teaspoon of strawberry syrup is
Rate = Ounces of milk/Teaspoons
So, we have
Rate = 8/3
Evaluate
Rate = 2.67
Hence, the number of teaspoons of strawberry syrup per ounce of milk this recipe use is 0.375 and the number of ounces of milk needed per teaspoon of strawberry syrup is 2.67
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help me please please
Answer:
It would be at the coordinates 4,5
Step-by-step explanation:
Determine the slope of the line that contains the given points.
E(5,-1), F(2,-4)
The slope of the line containing (4,2) and (4,-3) is 1.
The slope of a straight line can be written as follows,
m = ( [tex]y_{2} - y_{1}[/tex])/([tex]x_{2} - x_{1}[/tex]) equation1
The line is containing the points (5,-1) and (2,-4). So, we can write
[tex]y_{2}[/tex] = -4 , [tex]y_{1}[/tex] = -1 , [tex]x_{1}[/tex] = 5 , and [tex]x_{2}[/tex] = 2 .
On substituting the values of variables in equation1, we will get
m = (-4-(-1))/(2-5) = (-3/-3) = 1.
As the slope of a line is 1 , so we can conclude that the given line is a straight line.
Here,
m = the slope of the line
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.
The slope of the line containing (5 , -1) and ( 2 , -4 ) is 1.
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Use the table to determine whether the relationship is proportional.
If so, write an equation for the relationship. represents.
The equation of the proportional relationship in the table attached below is: y = 40x.
How to Determine the Equation of a Proportional Relationship?Equation of a proportional relation is modelled as, y = kx. k = y/x, using any pairs of values for a given table. If the table is represents a proportional relationship, y/x for every pair of values would be the same.
Distance in miles = y
Time in hours = x
k = y/x = 80/2 = 120/3 = 160/4 = 40.
The relation represented by the table is proportional because y/x is the same for all pairs of values.
Substitute k = 40 into y = kx
y = 40x.
Thus, the equation of the proportional relationship in the table attached below is: y = 40x.
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
G(-3,-4,6) and H(5,-3,-5)
The midpoint is at (1 , -7/2 ,1/2)
In the given statement is
To find the midpoint of the line segment joining the pair of points
G(-3,-4,6) and H(5,-3,-5)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =( [tex]\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points G(-3,-4,6) and H(5,-3,-5)
Solving for the midpoint , we have,
m = ([tex]\frac{-3+5}{2},\frac{-4+(-3)}{2} ,\frac{6+(-5)}{2}[/tex])
m = (1 , -7/2 ,1/2)
Therefore, the midpoint is at (1 , -7/2 ,1/2)
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a. The table below shows pork production in China from 2000 to 2007 . Use a calculator to find the line of best fit.
The line of best fit for pork production in China in x years after 2000 is given by:
y = 2053.17x + 39758.67.
What is the missing information?The values of the table are missing, and are given as follows:
Year: 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008.Production: 40475, 42010, 43413, 45331, 47177, 50254, 52407, 54491.How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, we insert the points (Year - 2000, Production) given in the table, and the line of best fit, using a calculator, is given by:
y = 2053.17x + 39758.67.
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what doe mean (x,y)→(x+2,y-4)
Answer: shift 2 units right, and 4 units down
==================================================
Explanation:
The x+2 means to shift the point 2 units to the right.
For instance, the point (5,13) moves to (7,13) after adding 2 to the x coordinate.
The y-4 means to shift the point 4 units down. Example: (10,8) moves to (10,4) after subtracting 4 from the y coordinate.
Overall, (x,y)→(x+2,y-4) means "shift 2 units right, and 4 units down"
------------
Example:
Let's apply the rule to the point (1, 7)
(x,y)→(x+2,y-4)
(1,7)→(1+2,7-4)
(1,7)→(3,3)
can anyone work this out?
80.94cm² is the area of the parallelogram.
What is a parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.The formula of the area of a parallelogram: bh (base × height)
Now, substitute the values in the formula as follows:
A = bhA = 11.4 × 7.1A = 80.94Therefore, the area of a parallelogram is 80.94cm².
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solve 3(2x-5)=9(10-x)
Answer:
x=7
Step-by-step explanation:
Find the Missing Angle *
Answer:
53degree
82+45=127
We know
There is 180 degree in the angle
For the missing value
180-127= 53
Answer:
Answer is in the attached screenshot! :)
Step-by-step explanation:
Please let me know if you have any questions! :)
6−3+4x+1= no solution one
solution
Answer:
The answer is 4x+(any number other than 4)
Step-by-step explanation:
If there are no solutions, then the equation will be equal to 4x + (any number other than 4).
Examples: 4x + 1, 4x + 2, 4x + 3
Each triangle shown below is a right triangle.
Answer:
Yes, Triangle A
Step-by-step explanation:
Perpendicular legs of the triangle A are equal in measure (each 4 units)-> Triangle A is an isosceles right triangle.
Read the problem. Identify what you need to know. Then use the information in the problem to solve. Show your work.
Write an equation of the line containing the points (2,4) and (0,-2) .
The equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.
It is given that a line contains points (2,4) and (0,-2).
We have to find out the equation of the line.
What is the equation of line in slope intercept form ?
The equation of line in slope intercept form is y = mx + c , where m is the slope and c is the y-intercept.
As per the question ;
Line contains points (2,4) and (0,-2)
We know that slope intercept form of line is ;
y = mx + c
∴ (2,4) and (0,-2) must satisfy the equation because the line contains them.
So ,
For x = 2 and y = 4 ;
the equation y = mx + c becomes ;
4 = 2m + c ------ ------ ------ ---- (1)
Also ;
For x = 0 and y = -2 ;
the equation y = mx + c becomes ;
-2 = 0 + c
or
c = -2
Put the value of c in equation 1 ;
i.e.,
4 = 2m - 2
2m = 6
or
m = 3
So ,
the equation of line which contains points (2,4) and (0,-2) will be ;
y = (3 × x) - 2
y = 3x -2
Thus , the equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.
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