Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.
\(-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b\)
Step 3: We now need to write the equation of the line in slope-intercept form.
\(y = 3x + 9\)
Step 3: Now we convert the above equation from slope-intercept form to standard form.
\(y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0\)
Our equation in standard form is: B. -3x + y - 9 = 0.
Which of the following is an example of a permutation?
OA. The number of ways to choose 3 students to represent a school at
a national competition
OB. The number of ways 7 books can be selected from 50
OC. Picking 5 sets of towels from 25 different sets
OD. Selecting a first-, second-, and third-place winner at a baking
competition
SUBMIT
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is D.
What are Permutation and Combination?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
The example which is an example of permutation is Selecting a first-, second-, and third-place winner at baking.
Hence, the correct option is D.
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The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Answer:
15x^2 - 9x - 42
Step-by-step explanation:
(3x+6)(5x+7)
15x^2 +21x - 30x -42
15x^2 - 9x - 42
A cliff diver leaps from a 100-foot cliff into the Pacific. The diver's height above the water is modeled by the
function
P(x) = -16x2 + 10x + 100, where x is time in seconds.
During which interval is the diver at least halfway down?
A.2.0
B.2.1
C.3.0
D.3.4
Answer:
2.1
Step-by-step explanation:
Use F ookin desmos
Answer:
2.1 < x <2.5
Step-by-step explanation:
edge
On subtracting 20 from twice a number we get 50, then the number is
On subtracting 20 from twice a number we get 50, then the number is 35 in this context.
What is Subtraction?This is referred to as a type of mathematical operation in which one number is taken or deducted from the other and the sign is ( - ). this expression is used in every facet of life for their daily activities.
We were told that 20 was subtracted from twice a number to give 50 which means that twice the number is 70. The exact number will therefore be 70/2 which will then result in 35 and is therefore the most appropriate choice.
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Select all the methods you can use to display a relation.
Table
Ordered list
Graph
Mapping diagram
Answer: Mapping Diagram, Graph and Table
Step-by-step explanation: I just got the answer right on a quiz
A principal randomly chose 50 students from
grade 7. Of these students, 13 were wearing
sweaters. Based on this information, what is the
most reasonable prediction of the number of
students not wearing sweaters in a group of 350
students from grade 7?
Answer:
Because it was probaly just warm or getting hot and a few people were cold
Step-by-step explanation:
based on the data shownin the graph how many boxes can the shipping company to pack in a 18 hour period
The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes
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 number of hours be x
Let the number of boxes be y
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 5 , 60 )
Now , the slope of the line m = y/x
Substituting the values in the equation , we get
Slope m = 60 / 5 = 12
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 60 = 12 ( x - 5 )
y - 60 = 12x - 60
y = 12x
Now , when x = 18 hours
y = 12 ( 18 ) boxes
y = 216 boxes
Hence , the number of boxes is 216 boxes
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If a=3 and b=4 wat is it ?
Answer:
what is what?
Step-by-step explanation:
What is the relative minimum of the function?
Enter your answer in the box.
A grid with x axis increments of two increasing from negative ten to ten and y axis increments of two increasing from negative ten to ten. The grid contains a parabola opening up with a vertex at x equals negative three and y equals negative two.
The relative minimum of the function include the following: -2.
What is the vertex form of a quadratic equation?In this exercise, you are required to determine the relative minimum of the function with respect to the vertex form of a quadratic function h(x) that is written in standard form. Mathematically, the vertex form of a quadratic equation is given by this formula:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about this quadratic function, we can reasonably infer and logically deduce that that its vertex is at x equals negative three and y equals negative two.;
Vertex (h, k) = (-3, -2)
Therefore, the relative minimum is equal to -2.
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Help Find kif (2, k) lies on the line with equation 2x + 7y = 41
Answer:
i think 11y
Step-by-step explanation:
find the coordinates of A' after a reflection across the y-axis and then across the line y = -2. write your answer in the form (a, b).
Answer:
(3,1)
Step-by-step explanation:
When a point is reflected across the y axis, the sign of its x coordinate flips. Since point A is at (-3,-5), when it is reflected across the y axis its new position will be (3,-5). Now, point A is 3 units from the line y=-2, meaning that when it is reflected across it will be 3 units away from the other direction. (-2+(3))=1, meaning that the final coordinates of point A are (3,1). Hope this helps!
Taylor plans on raising a total of $3000 for Relay for Life for her school. His goal is to raise 1/3 of that money by the end of the month. Unfortunately, Taylor was only able to raise 1/5 of his goal for the month. How much money did Taylor actually raise?
Answer:
\(\$600\)
Step-by-step explanation:
Total amount raised for relay for life = $3000
Although goal is to raise \(\frac{1}{3}\) of the total amount by the end of the month. But unfortunately, Taylor was only able to raise 1/5 of his goal for the month.
Therefore,
Ratio of amount raised for the month \(=\frac{1}{5}\) of the goal.
So,
amount raised for the month \(=\frac{1}{5} (3000)=\$600\)
If daily demand is constant at 10 units per day, and lead time averages 12 days with a standard deviation of 3 days, 95 percent service requires how much safety stock?A) 28 unitsB) 30 unitsC) 49 unitsD) 59 unitsE) 114 units
If daily demand is constant at 10 units per day, and lead time averages 12 days with a standard deviation of 3 days, 95 percent service requires 49 units safety stock .Option (C) is correct.
To calculate safety stock, we need to consider the deviation in lead time and the desired service level. The formula for safety stock is:
Safety Stock = (Z-score for desired service level * Standard deviation of lead time * Average daily demand)
Assuming a normal distribution, the Z-score for 95% service level is 1.645. Substituting the given values, we get:
Safety Stock = (1.645 * 3 * 10)
=49.35 units
Rounding up to the nearest whole number, the answer is option C) 49 units.
It is important to note that safety stock is not the same as average inventory level. Safety stock is a buffer that protects against variability in demand and lead time, and it helps ensure that we can meet customer demand without stockouts. Averages, on the other hand, represent typical values over time.
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Which of the objects shown above are pyramids?
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
solve the literal equation for x.
g=4x+5xy
The literal equation for x is g/4+5y
Subject of formulaThis is a way of representing a variable in terms of another
Given the equation below;
g=4x+5xy
Factor out x to have
g=x(4 + 5y)
Divide both sides by 4 +5y to have:
g/4+5y = x
x = g/4+5y
Hence the literal equation for x is g/4+5y
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A membership costs for $40 for each month.
The cost of the membership for 12 months will be $
PLEASE HELP ASAP 100 POINTS BRAINLIST
uppose you toss a coin and then roll a number cube.
What is the sample space for the compound event?
Question 9 options:
H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6
TH1 TH2 TH3 TH4 TH5 TH6
H T 1 2 3 4 5 6
H1 T1 H6 T6
Two at once
So
Sample space for coin
{H,T}Sample space for cube
{1,2,3,4,5,6}Combine sample space
{H1,H2,H3,H4,H5,H6,T1,T2,TE,T4,T5,T6}Option A
the homeowner is replacing the laminate countertop with granite. Bob purchased a slab of granite that is 18 square feet. if the slab is 6 feet long. how wide is it? answers
For a rectangular granite slab purchased by Bob with area 18 sq. feet who replacing the laminate countertop, the width of slab is three feet.
We have a homeowner is replacing the laminate countertop with granite. For this he purchased a slab of granite that is 18 square feet. That is area of slab = 18 sq. feet
Length of slab, l = 6 feet
We have to determine the wide of slab. The shape of slab is rectangular. So, we have calculate the width of rectangular slab. Let the width be equal to ' x feet' . As we know, area of rectangle is written as product of length and width of rectangle. Thus, Area = l × x
=> 18 feet² = 6 feet × x
dividing both sides by 6
=> x = 3 feet
Hence, required width is 3 feet.
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Find the surface area of a regular hexagonal pyramid with side length = 8, and a slant height = 16. Round to the nearest tenth.
Answer Immediately
The surface area of the regular hexagonal pyramid would be =550.28.
How to calculate the surface area of a hexagonal pyramid?To calculate the surface area of a hexagonal pyramid, the formula that should be used would be given as follows;
S.A. = P×h/2 + B
P = Perimeter of base = 8×6 = 48
h = Slant height = 16
B = area of base = (3√3/2)a²
= 3√3/2)8²
= 3√3/2)64
= 166.28
S.A. = 48×16/2 + 166.28
= 384+166.28
= 550.28
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What was the overall shape of the distribution of soldiers’ foot lengths? About where was the center of the distribution?
The overall shape of the distribution of soldiers' foot lengths was likely symmetric or approximately bell-shaped.
The distribution of soldiers' foot lengths can be described as symmetric or bell-shaped. The majority of foot lengths cluster around the center, with fewer foot lengths deviating significantly. The center of the distribution, representing the average foot length, can be determined using the mean.
Analyzing the shape through a histogram or box plot helps identify symmetry. A symmetric shape with a peak in the middle and evenly tapering tails indicates a bell-shaped distribution.
Understanding the distribution's shape and center allows us to infer the overall characteristics of the soldiers' foot lengths.
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8 in
6 in.
5 in.
Pls help
Answer:
this is volume, right?
Step-by-step explanation:
i have no idea though hahahahahah
frjghherhnetjhnjkg fgfhgheriugheriughierg
renjgregnjergjerbgg rehgbjregbjergjerbgj
Determine the scale factor.
Ruby’s model for a Fourth of July party hat is shown. The model is composed of a rectangle and 2 right triangles. What is the area of Ruby’s model for a Fourth of July party hat?
Total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.
What is Area of Rectangle?The area of Rectangle is length times of width.
Let us find the area of the red colour right triangle.
Area of red triangle=1/2×13.5×9
=60.75 square cm.
Area of blue triangle=1/2×8×9
=36 square cm.
Area of rectangle=Length×breadth
=(13.5+8)4
=21.5×4
=86 square cm.
The total area of Ruby’s model for a Fourth of July party hat is
60.75+36+86
182.75 square centimeter.
Hence, total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.
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f(x) =x^2-3x-18 vertex?
Answer:
(3/2, -81/4)Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex (h, k).
Answer:
\(\sf Vertex \left(\dfrac{3}{2}, \dfrac{-81}{4}\right)\)
Step-by-step explanation:
Vertex of quadratic function: Write the equation in vertex form by using the method completing the square.y = x² - 3x - 18
Add 18 to both sides.
y + 18 = x² - 3x
Divide the co-efficient of x by 2 and square the result and then add it to both sides.
Co-efficient of x = 3. Divide 3 by 2and add (3/2)² to both sides
\(\sf y + 18 + \left(\dfrac{3}{2}\right)^2= x^2 - 3x + \left(\dfrac{3}{2}\right)^2\\\\\\y + 18+\dfrac{9}{4}=x^2 - 3x + \dfrac{9}{4}\\\\\\\)
\(\sf y + \dfrac{18*4}{1*4}+\dfrac{9}{4}=\left(x - \dfrac{3}{2}\right)^2\\\\\\y + \dfrac{72}{4}+\dfrac{9}{4}=\left(x - \dfrac{3}{2}\right)^2\\\\\\y + \dfrac{81}{4}=\left(x-\dfrac{3}{2}\right)^2\\\\ y = \left(x-\dfrac{3}{2}\right)^2 -\dfrac{81}{4}\\\\\)
Vertex form: f(x) = (x - h)² + k
where h and k are the vertex co-ordinates.
\(\sf \boxed{\bf Vertex \left(\dfrac{3}{2}, \dfrac{-81}{4}\right)}\)
moya picked 3 dozen apples she wents to share her apes in equal groups. show how many different way can she do this
A car has a mass of 2400 kg, correct to the nearest hundred kilograms.
A caravan has a mass of 1460 kg, correct to the nearest ten kilograms.
Calculate the lower bound for the total mass of the car and caravan.
Please help me friends :(
Answer:
3805kg
Step-by-step explanation:
2400 ≥ 2350
1460 ≥ 1455
2400 + 1460≥ 2350 + 1455 = 3805
The lower bound is 3805kg
Factor the following:
36x^2 - 49
What is the vocabulary word describing the factors that result in this answer?
Answer:
(6x+7)(6x-7)
Step-by-step explanation:
This is an example of "Difference Of Squares".
Answer:
(6x - 7)(6x + 7).
The difference of 2 squares.
Step-by-step explanation:
Note that 36x^2 and 49 are perfect squares.
36x^2 - 49
= (6x - 7)(6x + 7).
3. Haley ran 14 miles in 84 minutes. She ran each mile in the same amount of time. How long
did it take Haley to run 1 mile?
Answer:
i took her 6 minutes to run 1 mile
Step-by-step explanation:
84 divided by 14 you get 6
Answer:
Hailey takes 6 minutes to run 1 mile
Step-by-step explanation:
84 divided by 14 = 6 ; you divide the minutes by miles
HELP I WILL GIVE BRAINLIEST!!!!!
Answer:
4/10 or 2/5 chance of pulling an even card that is alos divisible by 60.
Step-by-step explanation: