The equation in the slope-intercept form is y = x + 3.8
What is a slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that contains the points (–6.4, –2.6) and (5.2, 9).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
So, the equation,
y + 2.6 = {(9 + 2.6)/(5.2 + 6.4)} (x + 6.4)
y + 2.6 = x + 6.4
y = x + 6.4 - 2.6
y = x + 3.8
Therefore, the equation y = x + 3.8 is in the slope-intercept form.
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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the trinomials with their factors.
a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
arrowRight
(a − 10)(a − 2)
arrowRight
(a − 4)(a + 5)
arrowRight
(a − 10)(a + 2)
arrowRight
Answer:
2with1
4with2
1with3
3wth4
Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.
Line Speed Number of Defective Parts Found
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11
Required:
a. Use the least squares method to develop the estimated regression equation (to 1 decimal).
b. Predict the number of defective parts found for a line speed of 25 feet per minute.
Answer:
a. y = 27.5 - 0.3X
b. 20
Step-by-step explanation:
y = a + bX
usin the table in the attachment i added, we so for the regression equaion
n = 8
∑xy = 4460
∑x = 280
∑y = 136
∑x²= 10800
[tex]b=\frac{8(4460)-(280)(136)}{8(10800)-280^{2} } \\b=\frac{35680-38080}{86400-78400} \\b=\frac{-2400}{8000} \\b = -0.3[/tex]
from here we solve for a
[tex]a= \frac{136-(-0.3)(280)}{8} \\a =\frac{136+84}{8} \\a=\frac{220}{8} \\a = 27.5[/tex]
a. the estimated regression equation
y = 27.5 - 0.3X
b. at x = 25
y = 27.5 - 0.3(25)
y = 20 is the number of defective parts.
Find the equation of the line below. If necessary, use a slash ( / ) to indicate a division bar.
Answer:
y=4x
Step-by-step explanation:
Rise= 8
Run= 2
8/2 = 4/1 = 4
y=(slope)x+(y intercept)
y=4x+0
y=4x
y=4x
To make a solution for an experiment, Gunther needs to add 40 g of a solute to 100 g of water. When making the
solution at room temperature, he could only add 34 grams before the solute settled out.
What could he do to dissolve the remaining 6 grams of the solute?
Put the solution in an ice bath, dissolve the solute, and let the solution return to room temperature.
O Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled out.
O Add more water, boil the solution, and dissolve the solute until the some of the water evaporates.
O Keep the solution at room temperature, add more water, and dissolve the excess solute.
Answer:
Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled....(B)
Step-by-step explanation:
hope this helps
Gunther could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
Solubility of a substance refers to the amount of the substance that dissolves in a given amount of water. The most important factor that affects solubility is the temperature of the system. When the temperature is increased, more solute can be dissolved in the solvent.
Since Gunther needs to add 40 g of a solute to 100 g of water but only 34 grams were added before the solute settled out at room temperature. He could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
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Determine the correct set up for solving the equation using the quadratic formula.
Answer: B
Begin by simplifying the given equation, so it's rearranged into standard form. Move all the terms onto one side, so they equal 0. This would result with [tex]4x^{2}[/tex]-3x-9=0. Quadratic formula is (-b±√(b²-4ac))/(2a). Standard form follow this variable format: [tex]ax^{2}[/tex]+bx+c. Use the numbers that correspond with each variable to substitute them into the quadratic formula. This would be
(-(-3)±√(-3²-4(4)(-9)/2(4).
A data set is made up of the values 5, 6, 9, 12, and 18.
The table shows the distance between each value and the mean of 10.
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
i will give Brainiest if you are right
Answer:
H is the answer because 15/32 is the largest so it is in the back
Answer:
J. [tex]\frac{9}{32}, \frac{5}{16},\frac{3}{8},\frac{7}{16},\frac{15}{32},\frac{1}{2}[/tex]
Step-by-step explanation:
7/16 = .4375
1/2 = .5
3/8 = .375
9/32 = .28125
5/16 = .3125
15/32 = .46875
If a < b, c > b, d > c, and c < e < d, order the letters from least to greatest
The order of a,b,c,d,e from least to greatest is a<b<c<e<d.
What is order of numbers?Order is basically a series which contains a particular operation like addition, subtraction, multiplication,division and size of numbers may be from greater to least and least to greater numbers.
How to arrange a order?We have been given a<b,c>b,d>c, and c<e<d and we have to order the letter from least to greatest.
a is greater than b, c is greater than b so a is also lesser than c. So,a<b<c will be order of a,b and c. Now we include d in the order. because c is greater than a and b but less than d so the order increases as under:
a<b<c<d. e lies between c and d so we will write e in between c and d in order. Final order will be a<b<c<e<d.
Hence the order of a,b,c,d,e from least to greatest is a<b<c<d<e.
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Using the following list of data, which statement is true?
Answer:
Range>Mean
Step-by-step explanation:
Range: find the largest(100) subtract lowest(50)=50
Mean: add all the numbers (790), then divide how many numbers there are(10)= 79
50>79
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PLS HELP!!!!!
1.4(3x+0.5)=1/3(6x+2.7)
I WILL GIVE BRAINLIEST
NOT ACCEPTING LINKS
Answer:
x= 1/11
hope this helps someway
find the square root of 3.6 upto 2 decimal places
What happens when you combine -3x+2x
please answer in full process question
In the given figure l ||m and p || q. Find the measure of angles √1,2,3,4
Step-by-step explanation:
angle 1=68°
angle 3 = 68°
angle 2= 180-68= 112°
angle 4 = 180-68= 112°
Which graph represents the solution to 1/7 m < - 1/22
The graph representing the solution will be of the form a line tending towards left from the point -7/22.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Here the given inequality is less than inequality.
1/7 m < -1/22
Dividing both sides by 1/7, we get,
m < -1/22 ÷ 1/7
m < -1/22 × 7/1
m < -7/22
Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.
Hence the graph of the given inequality is a straight line tending leftwards from -7/22.
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In the construction of bridges, engineers use a formula to help
determine the allowable stress on a bridge rocker, a component of the
bridge that handles the stress and weight placed on the pavement of the
bridge. The engineers use the formula F =11/300d (F − 13), where F is the
strength of the steel in kilopound per square inch and d is the diameter
of the rocker in millimeters.
Solve the formula F =11/300d (F − 13) for d.
From the engineers formula given, making d the subject of the formula gives us; d = 300F/(11(F - 13))
How to change the subject of the formula?
We are given the engineers formula as;
F = (¹¹/₃₀₀)d(F - 13)
Where;
F is the strength of the steel in kilopound per square inch.
d is the diameter of the rocker in millimeters.
From the given formula, we can start by;
Multiply both sides by 300 to get;
300F = 11d(F - 13)
Divide both sides by 11(F - 13) to get;
d = 300F/(11(F - 13))
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Complete table with the Y-values for the equation y=ײ+1
The complete table of values of the function is
x 0 1 2 3
y 0 2 5 10
How to complete the table of values of the function?From the question, we have the following parameters that can be used in our computation:
The equation of the function is given as
y = x² + 1
The above function is a quadratic function
This is so because it has the following representation
y = ax² + bx + c
When this function is compared to the equation y = x² + 1, we have the following notations
a = 1
b = 0
c = 1
From the incomplete table of values, we have the x values to be
x = 1, 2, 3
Substitute x = 1, 2, 3 in the equation y = x² + 1
So, we have
When x = 1, y = (1)² + 1 = 2
When x = 2, y = (2)² + 1 = 5
When x = 3, y = (3)² + 1 = 10
When these values are represented on a table, we have
x 0 1 2 3
y 0 2 5 10
The above represents the complete table
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Complete question
Complete table with the Y-values for the equation y=ײ+1
x 0 1 2 3
y 0
I’ll mark brainlist :)
NO LINKSSSSS
What is the distance between the points (-4, 8) and (10,-3)?
Answer:
17.8
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
then plug it in
[tex]d=\sqrt{(10+4)^2+(-3-8)^2}[/tex]
then solve inside the parentheses
[tex]d=\sqrt{(14)^2+(-11)^2}[/tex]
then simplify
[tex]d=\sqrt{196+121}[/tex]
keep simplifying
[tex]d= \sqrt{317}[/tex]
solve the square root
[tex]d=17.80449381[/tex]
round
[tex]d=17.8[/tex]
Q:write the equation of the line that is given slope an y-intercept?
Slope=Undefined y-intercept= -4
[tex]y = mx + b[/tex]
Answer:
y = mx - 4
Step-by-step explanation:
m is the slope, while -4 is the y intercept
What are the coordinates of D' when the quadrilateral is reflected across the line y = X?
Answer:
[tex]D' = (1,3)[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find D'
From the attachment, we have:
[tex]D = (3,1)[/tex]
When reflected across y = x.
The rule is:
[tex](x,y) \ to (y,x)[/tex]
So, if [tex]D = (3,1)[/tex]
Then:
[tex]D' = (1,3)[/tex]
Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>
The image for P(9, 1.5) after Translation is P'( 12, 1).
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
P(9, 1.5) with Translating Vector (3, -0.5).
So, Applying the Translation we get
P(9 + 3, 1.5 + (-0.5))
= P(12 , 1.5- 0.5)
= P(12, 1)
hence, the image is P'( 12, 1).
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is 7.787878— a rational number?
Answer:
yes it is a rational number.
Step-by-step explanation:
stock splits will not..
Answer:
Thank you for the points...
Step-by-step explanation:
Using the Binomial distribution,
If n=10 and p=0.3, find P(x=4)
Answer:
P(x=4)
Step-by-step explanation:
0.3(10=4)
what is the question. Wrong question asked.
Can someone please help
One square is shaded. Translate the shaded square 3 units left and 2 units down.
Click on the square to shade it.
A B C
E F G H
J K L M
NO P
Q
help no links u will get BRAINLIEST
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
The correct correct answer is box J
Original price of concert tickets: $101.00
Markup: 21%
What's the selling price of the concert tickets?
Answer:
122.21
Step-by-step explanation:
So our orginal value is 101 dollars,
Markup is increase in value.
The markup in this problem is 21%
We can thikn of this as 121%.
So to find the markup price, we must multiply 121% by 101.
We can thibk of 121% being myltiplying by 101 as:
1.21*101
This will get you:
122.21
So this is your answer!
Hope this helps! :)
In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?
well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.
now, of those 62.5% fellows only 40% have finished only half of it, how many are those?
well, what's 62.5% of 32? what's 40% of that much?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]
Can y’all help me on question 15?!
Answer:
J = 33
Step-by-step explanation:
43 - 2k = 33
43 - 10 = 33
33 = 33
Below are graphs of several functions. Which functions have the specified domain and range ? There may be more than one correct answer
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x 3/2 and it's output that is y exists between (-∞ , 2).
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