Answer:
The y's are 1, 3, 5, 7
Step-by-step explanation:
You have equation y = 2x + 3
You can think of this as a "rule" So whenever you're given a number (a value for x) you put the number in place of the x and times by two then add three.
you were given a list of numbers. They will go one at a time and have a turn being acted on by the rule.
It looks like this: first when x is -1.
take the -1 times by 2 >>>> that's -2 and then add 3 >>>> so you get 1.
y = 2x +3, x= -1
y = 2(-1) + 3
y = 1
You might have a column to write the answers in like next to their x's. Or sometimes we write them in pairs (-1 , 1)
y = 2x + 3; x = 0
y = 2(0) + 3
y = 3
(0, 3)
y = 2x + 3; x = 1
y = 2(1) + 3
y = 5
(1, 5)
y = 2x + 3; x = 2
y = 2(2) + 3
y = 7
(2, 7)
Which of the following is the graph of the function shown above? See file
Answer:
what we have to tell
Step-by-step explanation:
please send the correct information
Answer:
The answer on PLATO is Graph Z.
Step-by-step explanation:
I just had this question and got it right!!!
Hope this Helps!!!
What is the area of the parallelogram 60ftx67ft-52ft
To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.
New height = 67ft - 52ft = 15ft
Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.
Therefore, the area of the parallelogram is 900 square feet.
~~~Harsha~~~
A car purchased for $20,000 depreciates annually at a rate of 8%. What will be the approximate value of the car in the 10th year?
Answer:
$4000
Step-by-step explanation:
20000x0.08=1600
1600x10=16000
20000-16000=4000
Answer:
$8687.76
Step-by-step explanation:
100-8=92
20,000*0.92=18400 (This is after one year)
20,000*0.92^10= 8687.7690 (After 10 years)
Use the triangle sound determine whether the given angles or side represents corresponding angles corresponding sides or neither
As given by the question
There are given that the two triangle
Now,
The correspondings angle of the given triangle is:
\(\begin{gathered} \angle A=\angle D \\ \angle C=\angle F \\ \angle B=\angle E \end{gathered}\)And
The corresponding sies are:
\(\begin{gathered} AC=DF \\ AB=DE \\ BC=EF \end{gathered}\)Hence, the correct option is 2 and 3.
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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Lauren has a garden in the shape of a rectangle where the length is 5.4 meters and 1.5 meters. She plans on increasing both the length and width by 40%
Answer:
5.4 = 7.56
1.5 = 2.1
Step-by-step explanation:
Just find the answer for 40% of the given meters.
I need help with this please
Answer:
30°
Step-by-step explanation:
cos Ф = 35/38
arccos (.92105) = 30°
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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Roman numerals of 900
Answer:
900 = CM
900 = 1000 - 100
= M - C
= CM
Answer: CM
A triangle has vertices at (-8,7)(1,-6)(5,9).find the area of the triangle using 3 methods.
1.herrons formula
2.find the height of the triangle by finding the equations of the base and altitude The using the formula A=1/2bh
3.using rectangle formula
After answering the provided question, we can conclude that Therefore, the area of the triangle is approximately 49.808 square units.
What precisely is a triangle?A triangle is a closed, double-symmetrical object that consists of three line segments called ends of the spectrum that intersect at three points called vertices. Triangles can be distinguished by their sides and angles. Triangles can be equilateral (equal factions), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), okay (one angle equal to 90 degrees), or orbicular (all angles greater than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is its height.
1. Using Heron's Formula:
a = √[(-8-1)² + (7-(-6))²] = √170
b = √[(1-5)² + (-6-9)²] = √221
c = √[(-8-5)² + (7-9)²] = √170
where a, b, c are the lengths of the sides of the triangle.
\(s = (a+b+c)/2 = (\sqrt170 + \sqrt 221 + \sqrt 170)/2 = 10.231\\A = \sqrt s(s-a)(s-b)(s-c)= \sqrt 10.231(10.231-\sqrt 170)(10.231-\sqrt 221)(10.231-\sqrt 170)= 49.808\)
Therefore, the area of the triangle is approximately 49.808 square units.
2. Using the Base and Altitude:
\((y - 7)/(x + 8) = (9 - 7)/(5 + 8)\\(y - 7)/(x + 8) = 2/13\\y = (2/13)x + (101/13)\\\)
slope line passing through (-8,7) and (1,-6) is:
(\(-6 - 7)/(1 + 8) = -13/9\\(y + 6)/(x - 1) = 9/13\\y = (9/13)x - (63/13)\\\)
height of the triangle:
\((2/13)x + (101/13) = (9/13)x - (63/13)\\x = 32/11\\y = (9/13)(32/11) - (63/13) = -2.231\\\)
Using the formula A = (1/2)bh, we have:
\(A = (1/2)(\sqrt(1-(-8))² + (-6-7)^2)(2.231) = 49.808\)
Therefore, the area of the triangle is approximately 49.808 square units.
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0.2-0.3 what is the midpoint?
Answer:
0.25
Step-by-step explanation:
Fill in the missing numbers below.
5 feet + 12 inches = blank
yard(s)
Blank inches = 1 foot + 1 yard
Blank feet = 3 feet + 24 inches
Answer:
5 feet + 12 inches = 2 yards
48 inches = 1 foot + 1 yard
5 feet = 3 feet + 24 inches
Step-by-step explanation:
To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:
1 feet = 12 inches
3 feet = 1 yard
To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.
12 inches = 1 feet
Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.
Blank inches = 1 foot + 1 yard
To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.
Blank feet = 3 feet + 24 inches
Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.
For a pyroclastic flow travelling at a constant speed, the relationship between distance traveled (d), rate (speed), and time (t) is d=rt.
Find the time in minutes at which a pyroclastic flow will reach a town 30 kilometers (~19 miles) away if the flow is travelling at a constant rate of 3 km/min (~100 miles per hour). (Give answer to 1 decimal place.)
Find a function t that gives the time it takes for a pyroclastic flow to travel 30 kilometers at a constant rate of r kilometers per minute, and state the domain of t.
Find a function r that gives the speed of the pyroclastic flow when 30 kilometers are covered in t minutes, and state the domain of r. (Note however that the maximum speed of a pyroclastic flow is 10 km/min, that is, the maximum value of the function r(t) is 10 km/min).
Find a function d that gives the distance that the flow will travel in 30 minutes at a constant rate of r km/min, and state the domain of d.
The time in minutes at which a pyroclastic flow will reach the town is 0.3 minutes and the functions are t = 30/r, r = 30/t and d = 30r
Find the time in minutes at which a pyroclastic flow will reach a town 30 kilometers (~19 miles) awayHere, we have:
Distance = 30 kilometers
Rate = 100 kilometers per minute
The time is calculated as:
Time = Distance/Rate
So, we have
Time = 30/100
Evaluate
Time = 0.30
Hence, the time in minutes at which a pyroclastic flow will reach the town is 0.3 minutes
Find a function t that gives the time it takes for a pyroclastic flow to travel 30 kilometersHere, we have
Distance = 30 kilometers
Rate = r
The time is calculated as:
Time = Distance/Rate
So, we have
t = 30/r
Hence, the function for time is t = 30/r and the domain is r > 0
Find a function r that gives the speed of the pyroclastic flow when 30 kilometers are covered in t minutesHere, we have
Distance = 30 kilometers
Time = t
The time is calculated as:
Time = Distance/Rate
So, we have
t = 30/r
The maximum speed is 10 km/min
So, we have:
t = 30/10 = 3
Rewrite t = 30/r as:
r = 30/t
Hence, the function for rate is r = 30/t and the domain is 0 < t < 3
Find a function d that gives the distance that the flow will travel in 30 minutes at a constant rate of r km/minHere, we have
time = 30 minutes
Rate = r
The time is calculated as:
Time = Distance/Rate
So, we have
30 = d/r
So, we have
d = 30r
Hence, the function for time is d = 30r and the domain is r > 0
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In the similar triangles below , what is the measure of D
The measure of angle D is 45°
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.
And also the ratio of corresponding sides of similar triangles are equal.
To know the corresponding angles
side AC is corresponding to side EF, therefore angle D is congruent to angle A
angle D = 45°
OR , we can use the sum of angles In a triangle , which is 180°
angle D = 180 -( 72+63)
= 180 - 135
= 45°
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If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
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Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
Decimal points are sometimes used in hotel room numbers. If you were assigned to room 6.10, where you expect to find it?
Answer:
the 10th room on the 6th floor
Step-by-step explanation:
I would guess that the 6 would be the floor number since is a whole number than the 10 would be the room on said floor because it after the 6.
If you were assigned to room 6.10, you would expect to find it in 6th floor and room number 10.
What is decimal?Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.
Given:
Decimal points are sometimes used in hotel room numbers.
Any decimal number has whole part and fractional part.
Then whole part = number of floor.
Fractional part = number of rooms.
Then if number is 6.10,
then 6th floor and room number 10.
Therefore, 6th floor and room number 10.
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13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.
The evaluation of the statements with regards to the graph of a function are;
The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.What is a function?A function maps an input value to an output based on a definition or rule.
First part of the statement;
The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞
The equation of a straight line function is of the form; y = m·x + c
Therefore;
The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.
Second part of the statement.
The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.
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Is x = 3 a solution to the equation 8= 2x + 3
yes or no
Answer:
NO
Step-by-step explanation:
substitute x=3 into the equation
2(3)+3
=9
Therefore x=3 is not a solution
Answer:
No, it is not a solution.
Step-by-step explanation:
x = 3
8 = 2x + 3
8 = 2 (3) + 3
8 = 6 + 3
8 ≠ 9
. Predict how the display may look after another 20 minutes.
erature
Answer:
creature
Step-by-step explanation:
it's definitely creature
what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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There are 27
basketball players on the Greenland Basketball Team.
Of the 27 players, 1/9 of them are left-handed. How
many players are left handed? Be sure to show your
Answer:
3 players
Step-by-step explanation:
So, all you have to do is multiply 27 by 1/9 to get 3. Or, you could try figure out what number needs to be multiplied by 9 to get 27, which is also 3.
the sum of four number is 20500.three of the numbers are 2341.578 and 10690.What is the fourth number?
Answer:
5216.844
Step-by-step explanation:
Let x be the fourth number.
We know that the sum of the four numbers is 20500:
2341.578 + 10690 + x + 2341.578 = 20500
Simplifying and solving for x:
x = 20500 - 2341.578 - 10690 - 2341.578
x = 5216.844
Perimeter of the computer chip. Length 7.18×10⁻⁷ meters, width 3.4×10⁻⁹ meters
Perimeter of computer chip = 14.428 * ( \(10^{-7}\) ) meters .
Given : length = 7.18×10⁻⁷ meters
breadth = 3.4×10⁻⁹ meters
To find = perimeter of computer chip
Formula for perimeter of a rectangle :
Perimeter = 2 ( length + breadth )
Calculations :
Perimeter = 2 [ ( 7.18×10⁻⁷ ) + ( 3.4×10⁻⁹ ) ]
On simplifying ,
= 2 [ \(10^{-7}\) ( 7.18 + 0.034 )
= 2 [ \(10^{-7}\) ( 7.214 ) ]
= 14.428 * ( \(10^{-7}\) ) meters
Hence , perimeter = 14.428 * ( \(10^{-7}\) ) meters .
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DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two
Answer:
1. d)
4.a)
2.a)
5.d)
Step-by-step explanation:
Which system of equations has infinitely many solutions?
O A. 3y = -5x + 7
3x = -5y - 7
B. 3y = x - 4
3x - 9y = -12
C. 2x + y = 2
-4x - 2y = 4
OD. 2y = 3x + 6
4y = 6x + 12
Answer:
\( \frac{56}{64 |3y| } \)
Step-by-step explanation:
hope it help
Answer:
2y = 3x + 6
4y = 6x + 12
Step-by-step explanation:
This is the only one with infinite solutions
Misty surgery lasted 2 1/4 hours. Convert the time to seconds
======================================================
Work Shown:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
1/4 hour = 15 minutes (divide both sides of the first equation by 4)
2 & 1/4 hours = 2 hours + 1/4 hour
2 & 1/4 hours = 120 minutes + 15 minutes
2 & 1/4 hours = 135 minutes
---------------------
1 minute = 60 seconds
135 minutes = 8100 seconds (multiply both sides by 135)
2 & 1/4 hours = 8100 seconds
Select the correct answer.
The daytime temperature in Apple Valley is falling by 2.5 degrees each day. What will the net change in the daily temperature be after one calendar week?
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:
Using matrices the simultaneous equation is solved to get x = 3 and y = 5
How to solve the simultaneous equation using matricesThis method required finding determinants in three occasions then dividing
The given equation
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)
the determinant is
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)
3 * 1 - 2 * 1 = 3 - 2 = 1
Solving for x
determinant while replacing x values
\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)
19 * 1 - 2 * 8 = 19 - 16 = 3
solving for x = 3/1 = 3
Solving for y
determinant while replacing y values
\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)
3 * 8 - 19 * 1 = 24 - 19 = 5
solving for y = 5/1 = 5
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There are 35 boys in band and 49 girls in band. Ryan says that the ratio of 10 poi boys to girls is 5 to 7. Which statement is true?
A He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
B. He is wrong because the ratio of 5 to 7 is smaller than the ratio 35 to 49.
C. He is right because 35 and 49 are larger numbers than 5 and 7.
D. He is wrong because 35 and 49 are larger numbers than 5 and 7.
Answer:
A. He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.
Step-by-step explanation:
Explained in the answer.
Please choose the option that would best fit the empty space above: Group of answer choices only one optimal solution multiple optimal solutions no solution, since it is infeasible no best solution, since it is unbounded None of the above
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In this question, some of the data is missing, that's why this question can be defined as follows:
It Includes an objective feature coefficient, its sensitivity ratio is the ratio for values on which the current ideal approach will remain optimal.
When there is Just one perfect solution(optimal solution) then the equation is:
\(Max \ Z = \$ 5x_1 + \$10x_2\\\\Subject\ to: \\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0\)
When there are Several perfect solutions then the equation is:
\(Max \ Z = \$ \ 200x_1 + \$ \ 100x_2\\\\ Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \leq 100\\\\x1, x2 \geq 0\)
When there is also no solution, since it is unlikely then the equation is:
\(Max \ Z = \$40x_1 + \$10x_2 \\\\Subject \ to:\\\\8x_1 + 5x_2 \leq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\)
When there is no best solution since it is unbounded then the equation is:
\(Max \ Z = \$ 30x_1 + \$15x_2 \\\\Subject to:\\\\8x_1 + 5x_2 \geq 80\\\\2x_1 + 1x_2 \geq 100\\\\x_1, x_2 \geq 0\\\)