Describe the graph of g?
The given points gives us a line with constant slope of -2.
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
The points are in the form of ( x, y) , where y= g(x)
Plot these points on the graph and join the points through a line.
Refer to the attachment for the graph.
The slope is constant.
consider any 2 points:
(x,y) = (0,7)
(m,n) =(2,3)
Slope = change in y values/ change in x values
= (7-3)/(0-2) = 4/-2 = -2
The given points gives us a line with constant slope of -2.
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i) Factorise 3x^2-13x-10
⇒[tex]3x^{2} -13x-10\\=3x^{2} -15x+2x-10\\=(3x^{2} -15x)+(2x-10)\\=3x(x-5)+2(x-5)\\=(x-5)(3x+2)[/tex]
⇒The answer is (x-5)(3x+2)
f(x) = -x³ + 3x² +9
x=4
[tex]{ \pink{ \boxed{ \red{ \sf{f(4) = - 7}}}}}[/tex]
Step-by-step explanation:
[tex]{ \green{ \sf{f(x) = { - x}^{3} + 3 {x}^{2} + 9}}}[/tex]
[tex]{ \green{ \sf{f(4) = ( { - 4})^{3} + 3( {4})^{2} + 9}}}[/tex]
[tex]{ \green{ \sf{f(4) = - 64 + 3(16) + 9}}}[/tex]
[tex]{ \green{ \sf{ f(4) = - 64 + 48 + 9}}}[/tex]
[tex]{ \green{ \sf{f(4) = - 64 + 57}}}[/tex]
[tex]{ \blue{ \boxed{ \orange{ \sf{f(4) = - 7}}}}}[/tex]
Solve the inequality.
3-x≤-19 or -x ≥ 24
x> [?] or x ≤
x≤[
Enter
The solution to the given inequality 3 - x ≤ 19
or - x ≥ 24 is x ≥ -16 or x ≤ -24
What is the solution of the inequality?An inequality is a statement that is of two quantities; one is specifically less than or greater than another. Inequality symbols are:
Less than < Less than or equal to ≤ Greater than > Greater than or equal to ≥ equal to =3 - x ≤ 19
or
- x ≥ 24
3 - x ≤ 19
substract 3 from both sides-x ≤ 19 - 3
- x ≤ 16
divide both sides by -1
x ≤ 16/-1
x ≥ -16
or
- x ≥ 24
divide both sides by -1x ≥ 24/-1
x ≤ -24
In conclusion, the solution to the inequality is given by x ≥ -16 or x ≤ -24
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JMP made a profit of $85,000 last year. If the profit margin increased by 20% this year what is the amount of profit made by JMP
The amount of profit made by JMP is 102000.
Given,
In the question;
JMP made a profit of $85,000 last year.
If the profit margin increased by 20% this year.
To find the amount of profit made by JMP.
Now, According to the question:
Based on the given condition:
Formulate:
= 85000 x (20% + 1)
Calculate;
85000 x (0.2 + 1)
Calculate the sum or difference
85000 x 1.2
= 102000
Hence, The amount of profit made by JMP is 102000.
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Rationalize the denominator 1/ square root of 2
Answer:
Multiply and divide by √2 . You'll get √22
Step-by-step explanation:
A speed of 60 mph is equal to 88 ft/sec. Find the speed to the nearest mile per hour of an aircraft that travels 1000 ft/sec.
The speed of the aircraft is 682 mph
How to determine the speed of the aircraft to the nearest mile per hour?Given that: A speed of 60 mph is equal to 88 ft/sec
If an aircraft travels at a speed of 1000 ft/sec, the speed to the nearest mile per hour can be calculated by using the unit ratio of
of mph to ft/s, that is:
60/88 = m/1000
m = 6x1000/ 88 = 60000/88 = 682 mph
Therefore, the speed of the aircraft to the nearest mile per hour is 682 mph
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In a raffle, 100 tickets are sold. George buys 10 tickets Julia by 5 tickets. There is one winning ticket. Find a probability that
a. George will win
b. jullia will win
The probability that George will win is 1/10 and the probability that Julia will win is 1/20.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.The probability is calculated by dividing the total number of outcomes by the total number of potential events.So, calculate the probability as follows:
Probability formula: P(E) = Favourable events/Total eventsWe know,
The total number of tickets sold is 100.George has 10 tickets and Julia has 5.(A) George's probability of winning:
P(E) = Favourable events/Total eventsP(E) = 10/100P(E) = 1/10(B) Julia's probability of winning:
P(E) = Favourable events/Total eventsP(E) = 5/100P(E) = 1/20Therefore, the probability that George will win is 1/10 and the probability that Julia will win is 1/20.
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Order these numbers from least to greatest.
2.9042, 2.9, 4.419, 2.94
What is 1+1? is it 11-de-7 or 2
Answer:
2
Step-by-step explanation:
This is because yes. If you add 1 and 1 (use your fingers) and count the two, you simply get 2.
Consider the equation and the following ordered pairs: (−3,y) and (x,2).
y=−3x−1
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Complete the table below.
x y
row 1−3 Answer
row 2 Answer
2
The missing values of the ordered pairs using the given equation are:
x = -1; y = 8
The computed table is:
x | y
-3 8
-1, 2
How to Complete a table Using Equation?To complete a table of values, we can plug in the known value of each of the ordered pairs that are represented in a table into the given equation that models the relationship, then find the value of the missing variable.
The equation that represents the relationship between x and y is given as y = -3x - 1.
Find the value y in the ordered pair (-3, y) by substituting x = -3 into y = -3x - 1:
y = -3(-3) - 1 = 8
y = 8
Find the value x in the ordered pair (x, 2) by substituting y = 2 into y = -3x - 1:
2 = -3x - 1
Add 1 to both sides
3 = -3x
Divide both sides by -3
x = 3/-3
x = -1
The ordered pairs with the missing values are: (-3, 8) and (-1, 2).
The table would be computed as:
x | y
-3 8
-1, 2
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Evaluate the given function for f (2).
The value of f(2) is 2.
What is graph function?
The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function.
All y-coordinates of the graph function are an output of the graph function.
All x-coordinates of the graph function are an input of the graph function.
f(2) is an output of the function.
Here find the y-coordinates of the point on the graph when the value of x is 2.
(2,3) is a point on the graph.
Thus f(2) = 3
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hamilton elementary had 1264 students in 2017. in 2018 the numbers of students increased to 1592 students what was the percent increase rounded to the nearest hundredth
Answer: 25.949%
Step-by-step explanation:
Use the formula F = mg-3t²
m = 4, g = 6 and t = 2
Use the definition of exponents as repeated multiplication to simplify. Enter only the simplified expression (2/3)^2
The expression (2/3)² when simplified by repeated multiplication is 4/9
How to evaluate the expression?From the question. the expression is given as
(2/3)²
We start by rewriting the expression using repeated multiplication
This in other words means that:
We rewrite the (2/3)² as repeated multiplication
To do this, we apply the exponent rule of indices
This rule states that:
a^m = a * a * a .... in m places
So, we have
(2/3)² = (2/3) x (2/3)
Evaluate the products
(2/3)² = 4/9
Hence, the equivalent expression is 4/9
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Which ordered pair is a solution of the equation? 2 x + 4 y = 6 x − y 2x+4y=6x−y
The solution to the equation given as 2x + 4y = 6x − y has the ordered pair of (3, 4)
How to determine the ordered pair of the solution?From the question, we have the following equation that can be used in our computation:
2x+4y=6x−y
Solving further, we need to collect the like terms
So, the equation becomes
2x - 6x = -4y - y
Next, we evaluate the like terms in the above equation
So, we have the following representation
-4x = -3y
Divide both sides by -3
The equation becomes
x = 3/4y
At this point, we assume any value for y and then solve for x
Assume that the value of y is 4
So, we have the following representation
x = 3/4 * 4
Evaluate the products
x = 3
So, we have
x = 3 and y = 4
Express as ordered pairs
(x, y) = (3, 4)
Hence, the ordered pair of the solution is (3, 4)
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If a truck weighs 20% more than a car, then the truck's weight is % of the car's weight.
A home developer is planning to build h houses with identical floor plans. Each house will have 3 smaller bedrooms that each require 150 square feet of carpet and 1 larger bedroom that requires 270 square feet of carpet.
The required expression is 3h(150) + h(270) which is the correct answer would be an option (D).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Since each house will have 3 smaller bedrooms that required 150 square feet of carpet
⇒ 3 × 150
Each house will have 1 larger bedroom that requires 270 square feet of carpet.
⇒ 270
So, (3 × 150 + 270) × h
⇒ 3h(150) + h(270)
Thus, The required expression is 3h(150) + h(270).
Hence, the correct answer would be an option (D).
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The question seems to be incomplete the completed part has been attached below
Given (0.25 x 12.3) x 8, which two numbers are compatible, and which
property would you use to calculate this mentally?
4a) Two numbers
4b) Property
The two numbers that are compatible are 0.25 and 8. The property which helps to calculate it is commutative property.
What is the commutative property?
This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution.
Given numerical expression is (0.25 x 12.3) x 8.
First remove the parenthesis from the numerical expression:
(0.25 x 12.3) x 8 = 0.25 x 12.3 x 8
Now apply commutative property:
(0.25 x 12.3) x 8 = (0.25 x 8) x 12.3
(0.25 x 12.3) x 8 = 2.00 x 12.3
(0.25 x 12.3) x 8 = 24.6
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What is the equation of the line shown in the graph? Drag and drop the expressions to write the equation of the line in slope-intercept form. Giving Brainlist
y =_+_
Answer:
Step-by-step explanation:
Pass journal entries using the perpetual system of inventory-
Purchased 1000 units of shoes from Indiana International at $300 each on account
Sold 200 units to Ceridian Corporation at $500 each on account
Sold 500 units to Semed Inc. at 550 each on cash
Paid cash in full to Indiana International
Purchased 800 units of shoes from CITS at $450 each on cash
Sold 100 units to Deeman Corp at $600 each on cash
The passage of journal entries to record the transactions, using the perpetual system of inventory with the First-in, First-out (FIFO) method, is as follows:
Journal Entries:Account Titles Debit Credit
Inventory $300,000
Accounts Payable (Indiana International) $300,000
To record the purchase of 1000 units of shoes at $300 each.Accounts Receivable
(Ceridian Corporation) $100,000
Sales Revenue $100,000
To record the sale of 200 units at $500 each on account.Cost of goods sold $60,000
Inventory $60,000
To record the cost of 200 units sold.Cash $275,000
Sales Revenue $275,000
To record the sale of 500 units at $550 each.Cost of goods sold $150,000
Inventory $150,000
To record the cost of 500 units sold.Accounts Payable
(Indiana International) $300,000
Cash $300,000
To record the cash payment on account.Inventory $360,000
Cash $360,000
To record the purchase of 800 units at $450 each.Cash $60,000
Sales Revenue $60,000
To record the sale of 100 units at $600 each.Cost of goods sold $30,000
Inventory $30,000
To record the cost of 100 units sold.Transaction Analysis:Inventory $300,000 Accounts Payable (Indiana International) $300,000
Accounts Receivable (Ceridian Corporation) $100,000 Sales Revenue $100,000
Cost of goods sold $60,000 Inventory $60,000
Cash $275,000 Sales Revenue $275,000
Cost of goods sold $150,000 Inventory $150,000
Accounts Payable (Indiana International) $300,000 Cash $300,000
Inventory $360,000 Cash $360,000
Cash $60,000 Sales Revenue $60,000
Cost of goods sold $30,000 Inventory $30,000
Thus, with the perpetual system using FIFO, inventory movements are recorded in the Inventory account as they occur and not at the period's end.
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Select all of the descriptions which describe a transformation of the graph of f(x) = x that could result in the graph of g(x) = 7x.
A: The graph is translated 7 units to the right.
B: The graph is rotated about (0, 0), becoming steeper.
C: The graph is reflected across the x−axis.
D: The graph is vertically shrunk.
E: The graph is translated 7 units up.
F: The graph is vertically stretched.
Answer:
A,C,D
Step-by-step explanation:
consider the ellipse given by x^2+xy+2y^2=7. Find the y-coordinate(s) of all points where the ellipse has a vertical tangent line.
The ellipse given by x^2+xy+2y^2=7. The y-coordinate(s) of all points are -11.3, 11.2, -5.665, 5.585 where the ellipse has a vertical tangent line.
Define differentiation.Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives.
Given,
Ellipse given,
x²+ xy + y ² = 7
Differentiating:
dy/dx
x²+ xy + y² = 7
d/dx(x² + xy + y²) = d/dx(7)
2x + 1y + x dy/dx + 2y dy/dx = 0
dy/dx = 2x + y/ x + 2y
dy/dx = 0
2x + y = 0
x + 2y = 0
Now, we have 2 equations,
x² + xy + y² = 0
y = -2x
Solving equations by substitution method,
x² + x(-2x) + (-2x)² = 7
x² - 2x² + 4x² = 7
3x² = 7
x = ±√21/3
Using y = -2x
Points are:
( -2√21/3 , √21/3) and (2√21/3 , -√21/3)
±√21/3 = ±1.528
x² + xy + y² = 7 [-11.3, 11.2, -5.665, 5.585]}
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Point KK is located at (-2,-5)(−2,−5) on the coordinate plane. Point KK is reflected over the yy-axis to create point K'K ′ . Point K'K ′ is then reflected over the xx-axis to create point K''K ′′ . What ordered pair describes the location of K''?K ′′ ?
The sign of coordinate of x of a point after the reflection along the y-axis will be interchanged thus the coordinate of K'(2,5).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
The given point K(-2,-5)
If we reflect a point(x,y) along the y-axis then the coordinate after reflection converts as K'(-x,y)
The reflection of K(-2,-5) along the y-axis will be K'(2,5).
Hence "The sign of coordinate of x of a point after the reflection along the y-axis will be interchanged thus the coordinate of K'(2,5)".
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IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ greater than 95) = % b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ less than 125) = % c) In a sample of 600 people, how many people would have an IQ less than 110? people d) In a sample of 600 people, how many people would have an IQ greater than 140? people
The expression on the left side of an equation is shown below.
3(x+1)+9-
k
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Q3(x+4)
O 2(x+6)+x
O 4(x-3)-x
O 3(x+1)+9x
Answer:
3x + 12
Step-by-step explanation:
3(x+1)+9
= 3x + 3 + 9
= 3x + 12
calculate the length of a scarf with sections if each section is 1/2 foot long
Answer:
depends on how many sections there are
Step-by-step explanation:
if there were 2 then it would be one foot 4 sections equal 2 and so on. the ratio for this 2:1 meaning there has to be 2 sections for there to be one foot.
Ingia went to the farmers market to get ingredients. Determine the price per item of each vegetable.
4.1 6 onions for $1.80
12 mushrooms for $3 4.3 5 peppers for $5.50
4.2
The perimeter of a triangle is 42 feet. One side of the triangle is one foot longer than the second side. The third side is five feet longer than the second side. Find the lengths of all three sides (in feet). (Enter your answers as a comma-separated list.)
Answer:
12 ft, 13 ft , 17 ft
Step-by-step explanation:
let x be the length of the second side , then
one side is x + 1
third side is x + 5
the perimeter P is the sum of the 3 sides, then
P = x + x + 1 + x + 5 ← collect like terms
P = 3x + 6
given P = 42 , then equating gives
3x + 6 = 42 ( subtract 6 from both sides )
3x = 36 ( divide both sides by 3 )
x = 12
x + 1 = 12 + 1 = 13
x + 5 = 12 + 5 = 17
the 3 sides are 12 ft, 13 ft , 17 ft
Write the equation of a line, in slope-intercept form, that is perpendicular to y = - 1/3 x + 4 and passes through the point (-2-5)
The equation of the line perpendicular to the given line is, y = 3x + 1.
What is slope of the line?
The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The symbols Δy and Δx stand for the net change in the y-coordinate and the net change in the x-coordinate, respectively. where "m" denotes a line's gradient. tanθ then represents the slope of a line.
Consider, the given equation of line
[tex]y = -\frac{1}{3}x+4[/tex]
We have to find the equation of line passes through the point (-2, -5) and perpendicular to the given line.
Here, the point is (-2, 5).
First to find the slope of the line.
Since, the slope of the line, perpendicular to the given line is negative reciprocal of the slope of given line.
Here, the slope of given line is, -1/3.
So, the slope of perpendicular line is [tex]-(\frac{1}{(-\frac{1}{3}) }) = 3[/tex]
Therefore, the slope of the line is 3.
Now to find the equation of the line.
Consider, the point - slope form of the line
[tex]y-y_1=m(x-x_1)[/tex]
Plug [tex](x_1, y_1) = (-2, -5) , m = 3[/tex]
⇒
[tex]y-(-5)=3(x-(-2))\\y+5=3(x+2)\\y+5=3x+6\\y=3x+6-5\\y=3x+1[/tex]
Hence, the equation of line in slope - intercept form, is y = 3x + 1.
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