Answer:
They both have the same slopeStep-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
This shows that both functions have the same slope.
What is the value of the expression below when y=8 and z=8? 10y-3z
Answer:
56
Step-by-step explanation:
We are given the expression:
10y-3z
and asked to find the value when y=8 and z=8. Therefore, we must substitute 8 in for both y and z.
10(8)-3(8)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition and Subtraction.
Multiply 10 and 8.
(10*8) -3(8)
80-3(8)
Multiply 3 and 8.
80 - (3*8)
80- 24
Subtract 24 from 80.
(80-24)
56
The value of the expression 10y-3z when y=8 and z=8 is 56.
Which algebraic expression represents this word description?
The quotient of nine and the sum of a number and one
Answer: [tex]9\div (x+1)[/tex]
Step-by-step explanation:
In algebra, Quotient of a and b is expressed as [tex]a\div b[/tex] .
Given phrase: The quotient of nine and the sum of a number and one
Let the number be x.
Then, the statement become: The quotient of nine and the sum of x and one.
i.e. [tex]9\div (x+1)[/tex] [since sum of x and 1 = x+1]
Hence, the algebraic expression represents the given word description is [tex]9\div (x+1)[/tex] .
Answer:
9 divided (x+1)
Step-by-step explanation:
apeex
3. The first four terms of a sequence are:
T2 = 12+ 22
T3 = 12 + 22 + 32
T4 = 12 + 22 + 32 +42
T1 = 12
The n" term is given by Tn=n(n + 1)(2n + 1).
Work out the value of T23.
Step-by-step explanation:
tn=n(n+1)(2n+1)
t23=23(23+1)(2*23+1)
t23=36754
Answer:
The 23rd term is 2806.
Step-by-step explanation:
The other answerer has used the formula but i'm answering from the assumption that T1 to T4 are correct.
Each term is the sum of n terms of an arithmetic series with first term a1 = 12 and common difference d = 10.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
So the sum of 23 terms =
= 23/2 (2*12 + 10 * 22)
= 11.5 * 244
= 2806.
At a sale, coats were sold for $10 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?
Answer: 50%
Step-by-step explanation:
10/20×100=50%
Answer:
50
Step-by-step explanation:
Explain Mathematical Ideas (1)(G) A classmate questions your solution to
the problem. Use precise mathematical language to explain why your solution
is correct.
Mary's bank account was overdrawn by
$21. If she deposits $60, find the new
balance.
Answer:
39
Step-by-step explanation:
If her bank account is overdrawn, that means that it has a negative balance. This means that without the $60, she has -$21 and once she deposits the $60, twenty one of the 60 will be subtracted
Answer: The answer is 39
Step-by-step explanation: -21+60=49
hope you like it :)
ALG II NEED HELP QUICK! Will mark the brainliest answer
Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $110 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
x=50000 dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollarsstep by step explanation :let x be the salary of individual with bachelor degree
Then the average salary of individual with Masters degree is:
(2x-40000)
the combined of two salaries is 110000:
x+(2x-40000)=110000
3x-40000=110000
3x=110000+40000
x=150000/3
x=50000 dollars ( the average salary of bachelor degree)the average salary of Masters degree = 2x-400002(50000)-40000=60000 dollars
Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips. How many hours did Pete work if he earned a total of $50 on
Tuesday?
Answer:
4 hours .
Step-by-step explanation:
4x8.50=34
34 + 16=50
Answer:
He worked 4 hours i think
Step-by-step explanation:
Take 50 and subtract his tips ($16)
then divide your answer by how much he makes an hour ($8.50)
Three times a number is equal to the sum of half the number and 30. What is the number?
Answer:
12.
Step-by-step explanation:
3x = 0.5x + 30
2.5x = 30
x = 30 / 2.5
x = 12
The formula for the area of a triangle is A = 1/2bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 328 mm^2 and the height is 16 mm, what is the measure of the base?
Answer:
b = 41 mmStep-by-step explanation:
From the question
Area of a triangle is given by
[tex]A = \frac{1}{2} bh[/tex]
where
b is the length of the base
h is the height
From the question
Area = 328 mm²
height = 16 mm
Substitute the values into the above formula and solve for the height
We have
[tex]328 = \frac{1}{2} \times 16b \\ 328 = 8b[/tex]
Divide both sides by 8
We have the final answer as
b = 41 mmHope this helps you
calculate the perimeter of a semi circle whose radius is 21cm
Radius of semicircle r = 21 cm
Perimeter of semicircle
= pi*r + 2r
= (22/7)*21 + 2*21
= 22*3 + 42
= 66 + 42
= 108 cm
what is the mean of 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5
Answer:
This is rational number but it is non -torminating
The volume of a cone is 200.96 cubic yards. What is the radius of the cone if the height is 12 yd? Use pi =3.14 and round your answer to the nearest hundredth.
Answer:
If I'm doing the problem correctly, the radius should be 4 yards.
Step-by-step explanation:
You work the problem backwards. Multiply 200.96 by 3, since it's a cone, so you're working with the volume of what a cylinder would be with the same dimensions. Then divide by the height (12 yd), then divide by pi. You should end up with 16, and 4 squared equals 16. Work the problem forwards from there to check.
4 squared is 16. 16 times 3.14 is 50.24. 50.24 times 12 is 602.88. 602.88 divided by 3 is 200.96.
Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars?
Answer:
3 hours
Step-by-step explanation:
he washed one car in 20 minutes so 9 cars will be 20 x 9=180minutes which is 3 hours
81 divided by 9 =
please help i do not understand this
Answer:
_______
its 9
_________
Answer:
-9
Step-by-step explanation:
9 x 9 = 81, so
-81/9 = -9
Help with brothers math homework?I can't help because I forgot how to do this
Answer:
See below.
Step-by-step explanation:
The range of a graph is the span of y-coordinates the graph covers.
From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.
Therefore, the range is all of the numbers in between them including them.
In interval notation, this is:
[tex][-8,7][/tex]
We use brackets instead of parentheses because we include the numbers.
And in set notation, this is:
[tex]\{y|-8\leq y\leq 7\}[/tex]
Answer:
Hey there!
The range is the possible y values.
Thus, we see here that the range is all numbers from -8 to 7.
Let me know if this helps :)
Factor of 3x-3a+xy-ay
Answer:
(3 - y) & (x - a) are the factors
Step-by-step explanation:
3x-3a+xy-ay
=> 3x - xy - 3a - ay
=> x(3 - y) - a(3 - y)
=> (3 - y)(x - a)
(3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.
Here, we have,
given that,
the expression is : 3x-3a+xy-ay.
now, we have,
To factor the expression 3x - 3a + xy - ay, we can group the terms as follows:
3x-3a+xy-ay
=> (3x - 3a) + (xy - ay)
Now, let's factor out the common factors from each group:
=> 3(x - a) + y(x - a)
Notice that both terms now have a common factor of (x - a).
We can factor out this common factor:
=> (x - a)(3 + y)
Therefore, the factored form of the expression 3x - 3a + xy - ay is (x - a)(3 + y).
Hence, (3 + y) & (x - a) are the factors of the expression 3x-3a+xy-ay.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ2
Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Answer:
[tex]\Huge \boxed{8x^2 +5y+1}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]1+x^2-3+2y+7x^2+3+3y[/tex]
Grouping like terms.
[tex]7x^2 +x^2+2y +3y +3+1 -3[/tex]
[tex](7x^2 +x^2)+(2y +3y) +(3+1 -3)[/tex]
Combining like terms.
[tex]8x^2 +5y+1[/tex]
[tex]\rule[225]{225}{2}[/tex]
A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly.
Answer:
1/5
Step-by-step explanation:
Total Question no. 5
Three must be answer correctly so 3/5 to pass
and 2/5 to fail
So 1/5 because to pass the test he can answer it correctly only one time
Help..................
Answer:
1) Highest
2) Decreasing / Descending
Step-by-step explanation:
In a standard polynomial , terms are ordered from highest degree to lowest degree.
The graph below shows y = b(x). image c138745352264c59babfe805822b4e5e Which statement BEST describes the graph? A The graph shows a function because it has an x-intercept and a y-intercept. B The graph does not show a function because the range of the graph is not all real numbers. C The graph shows a function because each element of the domain is assigned to exactly one element of the range. D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
Answer:
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
Step-by-step explanation:
A The graph shows a function because it has an x-intercept and a y-intercept.
- Incorrect as functions are not x- and y- intercept only
B The graph does not show a function because the range of the graph is not all real numbers.
- Incorrect as the range is all real numbers
C The graph shows a function because each element of the domain is assigned to exactly one element of the range.
- Correct, this is the definition of a function
D The graph does not show a function because many elements of the domain are assigned to the same element of the range.
- Incorrect as per previous statement
A bag contains 6 red marbles, 2 green, and 4 blue marbles. You randomly pick a marble and then pick a second marble, returning the marbles to.the bag each time. What is the probability of pulling a blue marble first and then a red marble.second?
Answer:
Probability of pulling a blue marble is 1/3 about 33% chance
Probability of pulling a red marble is 1/2 = 50% chance
Step-by-step explanation:
Total marbles = 6+2+4 = 12
4 of those 12 are blue
4/12=1/3 when reduced
________________________
Total marbles are still = 12
6 of the 12 are red
6/12=1/2 when reduced
Hope this helps! :)
what comes before one in the natural numbers
Answer:
Actually nothing comes before 1 in the natural numbers. 1 is first natural number.
Step-by-step explanation:
well 0 comes before 1 but it's not nature number.
hope it helped you:)
Another way to write g(h(x))
Answer:
(gOh)(x) on edg 2020
Step-by-step explanation:
These are solving proportions btw! 20/8 = 4k/32
Answer:
k = 20Step-by-step explanation:
[tex] \frac{20}{8} = \frac{4k}{32} [/tex]To find k first of all cross multiply
We have
32k = 640
Divide both sides by 32
That's
[tex] \frac{32k}{32} = \frac{640}{32} [/tex]We have the final answer as
k = 20Hope this helps you
In the text box below, write a brief summary about the similarities and differences between Inequality Notation, Set-Builder Notation, and Interval Notation.
Answer and Step-by-step explanation:
Differences:
Interval notation is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example set of all real numbers can be described in interval notation as 0 ≤ x ≤1. Interval notation press the solution set to equality, and it is important to express solution sets in calculus. Set builder notation is a mathematical notation for describing a set by its elements, and their member satisfies' properties.It describes the elements of a set instead of listing the element. For example the set {1, 2, 3, 4, 5, 6, 7, 8, 9} is written in builder notation will be {x/x is a counting number less than 10}.Inequality notation is a relation that makes a non equal comparison between two numbers. Set are also defined by using some inequalities like >, <, ≤, ≥. These are called inequality notations.
Similarities:
The purpose of inequality notation, set builder notation, and interval notation is the same because these notations used to describe a set and the characteristics of each element of a set. When a set is representing in set builder notation, it defines characteristics of elements. If the set is represented in interval notation, we need to know the upper and lower bound set. In inequality notation, the set is described by the graph on a number line.
Yesterday morning, the temperature was -11°F. The temperature increased 7°F by noon and then decreased 4°F by nightfall. What was the temperature at nightfall last night?
Answer:
1
Step-by-step explanation:
1
Melissa and Rachel like to make funny hats. Melissa has made 202020 zebra-printed hats, and Rachel has made hhh striped hats. Together they have made a total of 424242 hats. Write an equation to describe this situation.
Answer:
42= 20 +hStep-by-step explanation:
Given from the problem statement
Melissa has made 20 zebra-printed hats
and Rachel has made h amount of striped hats
and also the total amounts of hats made by both of them is 42 hats
We can write a simple equation for the scenario as
[tex]42= 20 +h[/tex]
We can solve the equation to know the amount of hats made by Rachel
[tex]42= 20+h\\\\h= 42-20\\\\h= 22[/tex]
Hence Rachel has made 22 hats
i have to find the sides of the angles on this photo
Step-by-step explanation:
may be those can be QT and QN