Answer:
The function rule is: [tex]y = -3x-5[/tex]
Step-by-step explanation:
Using the given input/output values, we can take two pairs of input-output values for finding the rule.
The function is a linear function as the input and output are changing linearly.
Required pairs are:
(1,-8) and (2, -11)
The general rule for linear function is:
[tex]y = mx+b[/tex]
m is the slope of the function calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{-11+8}{2-1}\\m = \frac{-3}{1}\\m = -3[/tex]
Putting in equation
[tex]y = -3x+b[/tex]
To find the value of b, putting (1,-8) in the equation
[tex]-8 = -3(1) +b\\-8 = -3+b\\-8+3 = b\\b = -5[/tex]
Putting the values
[tex]y = -3x-5[/tex]
Hence,
The function rule is: [tex]y = -3x-5[/tex]
What is the surface area?
Answer:
169.4 square units.
Step-by-step explanation:
7*4 = 28
28*3 = 84
B*H/2 is the formula for an equilateral triangle.
7*6.1 = 42.7*2 = 85.4
84+85.4 = 169.4
The surface area of your equilateral triangular prism is 169.4 square units.
POINTS AND BRAINLIEST!
Give me an equation of 2 thirds
Edan buys 3 tickets to a concert. When the delivery charge of $7.75 per order is added to the cost of the tickets, the total cost is $70.75. A) Create an algebraic equation for this problem. Use the equation to determine the cost of each ticket. Verify your solution. B) Olivia is Edan's cousin. Olivia has asked Edan to purchase tickets for her friends as well. Edan has now purchased 6 tickets in total. Use an algebraic equation to determine the total cost to Edan? C) Olivia has come down with the flu, and her friends no longer want to attend the concert. Edan is thinking of selling the 6 tickets she bought. Her goal is to earn $100 after selling the tickets. Using the equations from part a) and b), how much should Edan sell each ticket for, if she wants to make a profit of at least $100?
Answer:
a) $21
b) $133.75
c) $233.75
Step-by-step explanation:
Edan buys 3 tickets to a concert. When the delivery charge of $7.75 per order is added to the cost of the tickets, the total cost is $70.75.
A) Create an algebraic equation for this problem. Use the equation to determine the cost of each ticket. Verify your solution.
Let the number of tickets be represented by x
The equation is:
3x + 7.75 = 70.75
3x = 70.75 - 7.75
3x = 63
x = 63/3
x = $21
Each ticket cost $21
B) Olivia is Edan's cousin. Olivia has asked Edan to purchase tickets for her friends as well. Edan has now purchased 6 tickets in total. Use an algebraic equation to determine the total cost to Edan?
1 ticket cost = $21
Let the number of tickets be represented by x
Hence, the equation is
21x + $7.75
21 × 6 + $7.75
= 126 + $7.75
= $133.75
C) Olivia has come down with the flu, and her friends no longer want to attend the concert. Edan is thinking of selling the 6 tickets she bought. Her goal is to earn $100 after selling the tickets. Using the equations from part a) and b), how much should Edan sell each ticket for, if she
Profit = Selling price - Cost Price
Cost price = $133.75
Profit = $100
Selling price = Cost price + Profit
Selling price = $133.75 + $100
= $233.75
Billys empolyer for 65% of his annual health insurance permiu. Billy has the rest deducted equal amounts from his paycheck. If Billy has $105.73 withheld from his paychecks twice each month, how much dose his employrt contribute twards his health insuranceon an annual basis.
Answer:
His employer contributes with $4712.53 towards his health insurance on an annual basis.
Step-by-step explanation:
With the information provided, you know that Billy's employer pays 65% of his health insurance premium and you can subtract this from 100% to know the percentage that Billy has to pay:
100%-65%=35%
Also, the information states that Billy has $105.73 withheld from his paychecks twice each month and you can multiply this for 24 to find the total amount that he pays per year and that represents 35%:
$105.73*24=$2537.52
Finally, you can use a rule of three to found the amount that represents 65% which would be what his employer pays given that $2537.52 represent 35%:
2537.52 → 35%
x ← 65%
x=(2537.52*65)/35
x=$4712.53
According to this, the answer is that his employer contributes with $4712.53 towards his health insurance on an annual basis.
Evaluate x+y when x=−4\5 and y=1\3. Write your answer as a fraction or mixed number in simplest form.
Answer:
When x=−4\5 and y=1\3 we get x+y = -7/15
Step-by-step explanation:
We are given :
x=−4\5 and y=1\3
We need to evaluate : x+y
Solving:
[tex]x+y\\=-\frac{4}{5}+\frac{1}{3}[/tex]
Taking LCM of denominators 5 and 3, we get 15
[tex]=\frac{-4*3+1*5}{15}\\=\frac{-12+5}{15}\\=\frac{-7}{15}[/tex]
So, when x=−4\5 and y=1\3 we get x+y = -7/15
What is an equation of the line that passes through the points (6, -6) and (-6, -8)
Answer:
An equation of the line that passes through the points (6, -6) and (-6, -8) is [tex]\mathbf{y+6= \frac{1}{6}(x-6)}[/tex]
Step-by-step explanation:
We need to write an equation of the line that passes through the points (6, -6) and (-6, -8)
We would use point slope formula: [tex]y-y_1=m(x-x_1)[/tex]
where [tex]x_1=6, y_1=-6 \ and \ m \ is \ slope[/tex]
Finding slope using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
We have [tex]x_1=6, y_1=-6, x_2=-6, y_2=-8[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{-8-(-6)}{-6-6}\\Slope=\frac{-8+6}{-12}\\Slope=\frac{-2}{-12}\\Slope=\frac{1}{6}[/tex]
So, slope = 1/6
The required equation having [tex]x_1=6, y_1=-6 \ and \ m =\frac{1}{6}[/tex]
[tex]y-(-6)=\frac{1}{6}(x-6)\\y+6= \frac{1}{6}(x-6)[/tex]
An equation of the line that passes through the points (6, -6) and (-6, -8) is [tex]\mathbf{y+6= \frac{1}{6}(x-6)}[/tex]
A refrigerator costs $799. If the tax is 6.5%, the additional amount of money necessary to purchase the refrigerator is $51.94
True or false
Answer:
True
Step-by-step explanation:
6.5 x 799 divide 100 = 51.935 = 51.94
1.Calculate the Interest Rate
Interest: $38.88
Principal: $72
Time: 3 years
a. 18
b. 19.2%
c. 24%
d. 26.1%
Answer:
a. 18%
Step-by-step explanation:
Interest: $38.88
Principal: $72
Time: 3 years
Interest rate = x
72*3x = 38.88216x = 38.88x = 38.88/216x = 0.18 = 18%Correct choice is a. 18%
Which is the graph of −2x+y+4<9?
HELP PLEASE!
Answer:
b kno its not right but crown me lol
Step-by-step explanation:
Find the value of x and show work
Step-by-step explanation:
35+35+x=180 (sum of interior angles of an triangle is 180
therefore
x=180-70
x=110
Solve this equation. Enter your answer in the box. 75 – 3.5y – 4y = 4y + 6 y =
Answer:
y = 30/7
Step-by-step explanation:
Of the 2,374 pieces produced by a particular machine, 27 were defective. What
percent were defective? Round to the nearest hundredth of a percent.
Answer:
1.14%Step by step explanation
Step one:
The total pieced produces is 2374
total defective is 27
to find the percentage of the defective pieces, we would need to divide the total pieces of the defective by the total number of pieces produced by the machine and multiply the result by 100
Step two
% defecive= (27/2374)*100
% defecive= 0.0113*100
% defecive= 1.137%
To the nearest hundredth of a percent 1.14%
Write an expression to represent: 8 less than the product of 3 and a number.
The expression is 3x-8.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Let a number is x.
And the given expression,
8 less than the product of 3 and a number.
That means the expression, 8 less than means -8 and product of 3 and a number x ;
3x -8.
Therefore, the expression is 3x -8.
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What is the name of the mountain range that separates Europe from Asia?
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Mr. Lassie goes out to eat with his family. Their dinner costs $144. Mr. Lassie is going to leave a 25% tip because the service was excellent. What is the total amount of the dinner out?
Answer:
$180
Step-by-step explanation:
25% ->0.25
144(0.25)=36
36+144=180
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. Let x = the number of short sleeved shirts and let y = the number of long sleeve shirts.
Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order?
Answer:
15 long-sleeved shirts can be ordered.
Step-by-step explanation:
x = amount of short-sleeved.
y = amount of long-sleeved.
10x + 12y = 300
10(12) + 12y = 300
120 + 12y = 300
12y = 300 - 120
12y = 180
y = 180 / 12
y = 15
pls help asap 50 pts right answer FOR SURE
When the sun is 45 degrees above the horizon and a tree's shadow is 10ft long, how tall is the tree? *
5ft
7ft
10ft
15ft
Answer:
C
Step-by-step explanation:
Please refer to the attachment below.
So, we essentially have a 45-45-90 triangle.
In the 45-45-90 triangle, the two legs are equivalent.
Therefore, since one of the legs is 10ft, the other leg, the height of the tree, must also be 10ft.
Hence, our answer is C.
Brett is working at Subway to help pay for his college tuition. Johnny is getting paid $8.75 an hour. The manager of the Subway asked Johnny to work nights. If Johnny agreed, the manager would give him a bonus of $125 a week. Johnny is trying to figure out how much he would make if he worked between 30 - 35 hours a week and took the night shift. Find the reasonable domain and range. Create a relation, mapping diagram and table.
Answer:
Between $387.50 - $431.25 a week
Step-by-step explanation:
8.75x30 = 262.50
262.50+125 = 387.50
8.75x35 = 306.25
306.25+125 = 431.25
10.Mr. Vickers earns a 7.5% commission on his total sales. Last month, he had sales of
$54,620. How much commission did Mr. Vickers earn last month?
Answer:
4096.50, 4,096.50, $4,096.50, or $4096.5
Step-by-step explanation:
4096.5 percentage is the commission did Mr. Vickers earn last month.
Percentage:A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.Percentage formula = (Value/Total value) × 10
Example: 2/5 × 100 = 0.4 × 100 = 40 per cent
Based on the given conditions, formulate: 7.5% × 54620
Calculate the product or quotient: 4096.5
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Round each mixed number to the nearest whole number. Then, estimate the product.
870 x 14
_______
Answer:
12180
Step-by-step explanation:
Given the graph what is the zero of the function
Answer:
x = 2
Step-by-step explanation:
The zero of the function is the value of x on the x- axis where the graph crosses.
Thus the zero is x = 2
Answer:
X=2
Step-by-step explanation:
I think the zero of the function is when y=0, and on graph we can see that the only point where y=0, x=2.
But don't take my word for it
Which statement represents the given algebraic expression?
\large -3n-17
a
Seventeen less than three times a number
b
Negative three minus seventeen
c
A number less than seventeen is negative three
d-Negative three of a number decreased by seventeen
In a triangle, the base is increasing at a constant rate of 2.8 cm per second, while the height is decreasing at a constant rate of 0.7 cm per second. At the instant when the base of the triangle is 6 cm and the height of the triangle is 10 cm, what is the rate of change of the area of the triangle?
Answer:
Step-by-step explanation:
Area of a triangle = 1/2bh
b is the base
h is the height
dA/dt = dA/db * db/dt + dA/dh * dh/dt
h = 10cm
b = 6cm
dA/db = h/2 = 10/2
dA/db = 5cm
dA/dh = b/2
dA/dh = 6/2 = 3cm
db/dt = 2.8cm/s
dh/dt = 0.7cm/s
Substitutte into the formula;
dA/dt = 5(2.8) + 3(0.7)
dA/dt = 14 + 2.1
dA/dt = 16.1cm²/s
Hence the rate of change of the area of the triangle is 16.1cm²/s
(12x+2) what is the answer
Answer:
26
Step-by-step explanation:
Answer: If you are wanting the expression factored the answer would be 2(6x+1)
What is the sum of the measures of the interior of any triangle
Answer:
180 Degrees
Step-by-step explanation:
Answer:
I think the measure is 180⁰ I know this much only
Jason solved for the quotient of 133.5 ÷ 5.
5 StartLongDivisionSymbol 133.5 EndLongDivisionSymbol minus 10 = 33. 33 minus 30 = 35. 35 minus 35 = a remainder of 0 and quotient of 267. Answer: 133.5 divided by 5 = 267.
What was Jason’s error?
Jason did not multiply correctly.
Jason should have moved the decimal before dividing.
Jason did not put the correct decimal in the quotient.
Jason did not make an error.
Answer:
Hi there! The answer is C
Step-by-step explanation:
I did it on edge 2020! have a nice day!
Answer:
yo
Step-by-step explanation:
C on edgenuinity
If a pine tree grows 4 inches per year, how long will it take for the tree to reach a height of 12 feet?
Answer:
36 years
Step-by-step explanation:
Answer:
36 years hope this helps can i get brainliest
Step-by-step explanation:
all ratios equivalent to 5:2.
Answer:
10 : 4, 15 : 6, 20 : 8, 25 : 10, 30 : 12, 35 : 14, 40 : 16, 45 : 18, 50 : 20, 55 : 22 60 : 24 65 : 26 70 : 28 75 : 30 there are many many more
Step-by-step explanation:
Select the correct answer.
Which transformation of Alx) will produce the same graph as g(x)?
Rx) = 3x
g(x) = RX) + 3
O A. (x) = 2Rx)
OB.(x) = f(x - 1)
OC. (x) = fx + 1)
D. h(x) = f(x) + 1
The correct transformation of A (x) will produce the same graph as g(x) is,
⇒ f (x) = f (x + 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The functions are,
⇒ R (x) = 3x
⇒ g (x) = R(x) + 3
Now, We get;
⇒ g (x) = R(x) + 3
⇒ g (x) = 3x + 3
⇒ g (x) = 3 (x + 1)
Thus, The correct transformation of A (x) will produce the same graph as g(x) is,
⇒ f (x) = f (x + 1)
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