Answer:
x = -2
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
x - 5(-x + 1) - 3x - 1 = -12
Step 2: Solve for x
Distribute -5: x + 5x - 5 - 3x - 1 = -12Combine like terms: 3x - 6 = -12Add 6 to both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12Multiply: -2 - 5(2 + 1) + 6 - 1 = -12Add: -2 - 5(3) + 6 - 1 = -12Multiply: -2 - 15 + 6 - 1 = -12Subtract: -17 + 6 - 1 = -12Add: -11 - 1 = -12Subtract: -12 = -12The data in this table represents a linear function.
What is the slope of this line?
27
13
3
72
x y
2 7
5 16
7 22
9 28
The equation of a line is given by:
y = mx + c
Where m is the slope.
Slope = (d - b) / (c - a)
Where (a, b) and (c, d) are the two points.
The slope of the linear function is 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example: y = -3x - 4
Slope = -3 and y-intercept is -4.
We have,
A table that represents a linear function.
x y
2 7
5 16
7 22
9 28
We can have points such as:
(x, y) = (2, 7), (5, 16), (7, 22), and (9, 28)
We can select any two points and find the slope.
(2, 7) = (a, b)
(5, 16) = (c, d)
Slope:
= (d - b) / (c - a)
= 16 - 7 / 5 - 2
= 9 / 3
= 3
Slope = 3
Thus,
The slope of the linear function is 3.
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A retail store is buying a 500 count for a device and another 200 count for another version of the same device that costs $100 less than the original. What is the maximum cost of the original device, given that the store did not go over the budget of $155,000?(1 point)
no more than $150
less than $250
less than $150
no more than $250
Answer less than 250
Step-by-step explanation:
Answer: no more than 250
Step-by-step explanation:
please help
c. (3,6)
d. (9,6)
Answer:
I believe that the answer is A. (-3,0)
Step-by-step explanation:
I reflected it over y=3 and that is what I got as an answer. Let me know if I am wrong.
(3x²y)2
How do you simplify?
Answer:
answer 6x^2 × 2y
Step-by-step explanation:
multiply 2 with the parentheses
Answer:
the answer is 6x²y.......
can someone please help me.
Find the distance between (-6,8) and (10,-4)
Answer:
use the distance formula you can find it on the net
The distance between (-6,8) and (10,-4) is 20 units.
What is the distance between two points ( p,q) and (x,y)?
The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We are given that;
The points (-6,8) and (10,-4)
Now,
To use the formula, you need to plug in the values of x1, y1, x2 and y2 into the formula and simplify. For example, to find the distance between (-6,8) and (10,-4), you can do:
d = (10 - (-6))^2 + (-4 - 8)^2
d = (16)^2 + (-12)^2
d = 256 + 144
d = 400
d = sqrt(400)
d = 20
Therefore, the distance formula the answer will be 20 units.
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A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65.000
b 60,840
С 58,500
d. 52,650
Please select the best answer from the choices provided
A
D
Malwarebytes
Save and Exit
Moth this and return
Update A
Answer:
C
Step-by-step explanation:
Answer:
A, 65000
Step-by-step explanation:
I don’t understand this please help
Answer:
2
Step-by-step explanation:
The answer is "The graph is incorrect. He should have shaded ro the right"
plsss I need help !!!!! 100 points!!!
Linda is playing a game.
-On each turn that she takes, she can earn 2 points or 3 points.
-She has taken 16 turns and has earned a total of 34 points.
On how many turns has Linda earned 2 points?
I think it's 8 this is my opinion btw
can someone use the Pythagorean theorem to solve these?!?!
I tried it yesterday and i didn't solve it correctly ;c
just read it and try to solve plzzzzzz ;c
Answer:
127.3
Step-by-step explanation:
90^2+90^2=16200
[tex]\sqrt{16200}[/tex]=127.2792206
127.3 to the nearest tenth
I NEED HELP DUE IN 2min pleaseeee
Caroline, Krutika and Natasha share some sweets in the ratio 2:5:3. Caroline gets 12 sweets. How many more sweets does Krutika get over Natasha?
Answer:
12 sweets
Step-by-step explanation:
2:5:3.
caroline gets 12 so multiply the ratio by 6.
12:30:18
Krutika has 30, Natasha has 18.
30-18=12
so 12 sweets
Hope this helps plz mark brainliest :D
The price that a company charged for a computer accessory is given by the equation 100-10x2 where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories
produced yields approximately the same profit?
O 1.45 million
O 3.45 million
O 40 million
O 48 million
Answer: 1.45 million is your answer
Step-by-step explanation:
edge
The number of accessories produced that yields approximately the same profit as 2 million is 3.45 million. The correct option is B.
What is Revenue?
Revenue is defined as the money generated by normal business operations and is calculated by multiplying the average sales price by the number of items sold.
The profit (P) made by the company can be calculated as follows:
P = (Revenue) - (Costs)
Where Revenue = (Price per accessory) × (Number of accessories produced), and Costs = (Cost per accessory) × (Number of accessories produced).
So, using the given information, we can write:
P = (100-10x^2) x - (10x)
where x is the number of accessories produced in millions.
We know that the company makes a profit of 100 million dollars when it produces 2 million accessories, so we can set P = 100 and x = 2, and solve for the constant of proportionality k:
100 = (100-10(2)^2)(2) - (10)(2) + k
k = 200
Now, we can set P ≈ 100 again and solve for x, using k = 200:
100 = (100-10x^2)x - (10x) + 200
0 = -10x^3 + 10x^2 + 10x + 100
0 = -x^3 + x^2 + x + 10
We can solve this equation using synthetic division or by using a graphing calculator, and we find that there is a root between x = 3 and x = 4.
Therefore, the number of accessories produced that yields approximately the same profit as 2 million is 3.45 million, which is option B.
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Which values represent solutions to the equation?
Tangent (StartFraction 3 pi Over 4 EndFraction minus 2 x) = negative where x Is an element of [0, Pi]
The solution set for the given expression is {0, π/2, π}.
Which values of x are solutions for the given expression?Here we have the expression:
[tex]tan(\frac{3\pi}{4} -2x) = -1[/tex]
First, we know that:
[tex]tan(\frac{3\pi}{4}) = -1[/tex]
So, if x = 0, the equation is true, which means that x = 0 is a solution.
And the tangent function as a period of pi.
This means that:
tan(x) = tan(x - π) = tan(x - 2*π) etc.
Then if x = π/2 and x = π also are solutions, so we conclude that the solution set is:
{0, π/2, π}
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►
Find the difference. You may find using a number line to be helpful. Enter your answer as a simplified
mixed number.
Answer:
-2/9 - (-2) = -2 2/9 :)
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$1.99 for 16 lb
The unit rate is $ /lb.
Answer:
the unit rate is $0.29/lb
Answer:
Step-by-step explanation:
1.99/16= 0.1243 a pound
Round to 0.12
if John had 1/10 of a pizza, and wanted to between 8
friends , how much would each person get?
I’m not good at math and I need this so please help me
Answer:
If there are 10 slices and he wants to split between 8 friends and himself. Each friend would get a slice and there would be one remaining.
Step-by-step explanation:
Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Write an equation to determine the distance in miles (x) between the airport and Ann's home
Find the distance between the airport and Ann's home.
Answer:
$2.10x + 5= $49.10
x=21
Step-by-step explanation:
the x is used for a variable that changes and in this case the mph changes which lead x being the amount of miles that they had drove which at the end ends up multi. with the $2.10 . as for the 5 it was an initial as in it doesn't change.
for the second part
you subtract 5 from each side so you have the total of 2.10x= 44.10 then u divide 2.10 from each side and that will give you x = 21
Write multiplication expression to represent the change in temperature after the plane ascends 10,000 feet .... Above it says there is a 1.3°F drop in temperature for every thousand feet that an airplane climbs into the sky the temperature on the ground is -2.8°F... part b says what will the temperature b when the plane reach's an altitude of 10,000 feet
Answer:
1.3°F * 10 = 13°F
10.2°F
Step-by-step explanation:
Given that:
Temperature on the ground = - 2.8°F
Change in temperature per 1000 ft rise = 1.3°F
Change in temperature after the plane ascends 10000 ft
Change in temperature per 1000ft rise * (10000/1000)
1.3°F * 10 = 13°F
B.) Temperature at 10,000 feets
Temperature on ground + change in temperature at 10,000ft
-2.8°F + 13°F
= 10.2°F
Richard is 11 years older than Sushil. Caroline is 8 years younger than Sushil. If the total of their ages is 60, how old is the youngest of them?
Answer:
s=19, r=30,c=11
Caroline is young
Step-by-step explanation:
Hope this helps !
A car travels 71 feet each second. How many feet
does it travel in 12 seconds?
U
Answer:
852 feet after 12 seconds
Step-by-step explanation:
Students are learning a new dance. The students move forward 2.0 meters and tap their feet. Then they move backward 1.0 meter and clap their hands. Finally, they move 0.5 meter forward and stop. What is the displacement of the dancers from their starting part
Answer:
1.5 meters
Step-by-step explanation:
they first move forward 2 meters and then move backwards 1 meter (1 meter from their starting point, and then they move forward 0.5 meters. So the displacement of the dancers from their starting point is 1.5 meters.
0 + 2 = 2
2 - 1 = 1
1 + 0.5 = 1.5
hope this helps!
Write an equation of the perpendicular bisector of the segment with endpoints (4,0) and (2,-4) Write your equation in slope intercept form
Answer:
nsnsjsjsnsnznnznzznznz
A recipe requires 7/8 stick of butter for each 1 1/4 cups of flour. Find the unit rate of sticks of butter to cups of flour.
Answer:
Let R = unit rate
R = (7/8) ÷ 1_1/4
R = (7/8) ÷ (5/4)
R = (7/8) • (4/5)
R = (7/2) • (1/5)
R = 7/10
Step-by-step explanation:
By what number should 81 be divided to get a perfect cube
Answer:
9, I think, I hope this is right
Answer:
3
Step-by-step explanation:
This is because 81/3 is 27 which is a perfect cube
Hope this helps you.
If solving a system of linear equations by elimination or substitution I get that 0=0, as final or intermediate step depending on the system, it means (check all that apply)
I have definitely made a mistake and need to review the result
If the system of equations is 2 linear equations in 2 variables, there is infinity number
of solution
If the system of equations is 3 linear equations in 3 variables, there might be infinite
number of solutions
If the system of equations is n linear equations in n variables, there is one unique solution
Answer:
If I get 0=0 then it means:
If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutionsIf the system of equations is 3 linear equations in 3 variables, there might be infinite number of solutionsStep-by-step explanation:
Linear equation systems can consist of two or three equations with two or three unknowns respectively.
A system of linear equations in two variables has infinite solutions when the lines made by them overlap each other and similarly a system with three variables has infinite solutions when two lines overlap each other and third plane is parallel to them
Hence,
If I get 0=0 then it means:
If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutionsIf the system of equations is 3 linear equations in 3 variables, there might be infinite number of solutionsVeronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for the correct calculation of velocity?
A)the starting point
B)the direction
C)the end point
D)the time per meter
Answer: the direction
Answer:
B). the direction
Step-by-step explanation:
Edgen 2021
y−3=−12(x+4) i need help
Answer:
if it's a slope x=12 if it's for find the value of x its y over 12 -17 over 4
A tire shop promotes its business using a large model of a tire on its roof. The
model tire uses a scale in which 2 feet represents 3 inches. The actual tire used
to create the model tire has a diameter of 33 inches.
What is the diameter of the model tire on the shop's roof
Help plz!!! I need the work shown
Answer:
Ok, so this tire is 2 feet which is represented by 3 inches.
So, since the tire has a diameter of 33 inches, we multiply 33 by 3
33 times 3 is 99.
The diameter of the motel tire on the shop's roof is 99 inches.
Step-by-step explanation:
What are the solutions to the following equation? x^2+8x+15=0
Answer: It can be either one.
x=−3
or
x=−5