A linear equation is a mathematical form of a line segment the point (6,5) satisfies the equation y = 2/3x + 1 so it is the solution of the equation but (9,8) is not the solution.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given linear equation, y = 2/3x + 1
To be a point of its solution the point must satisfy the given equation.
Substitute (6,5)
5 = (2/3)6 + 1
5 = 2(2) + 1 = 5
Therefore, the (6,5) is the solution of the equation.
Substitute,(9,8)
(2/3)9 + 1 = 7
8 ≠ 7
So,(9,8) is not the solution of the equation.
Hence "A linear equation is a mathematical form of a line segment the point (6,5) satisfies the equation y = 2/3x + 1 so it is the solution of the equation but (9,8) is not the solution".
For more about the linear function,
brainly.com/question/21107621
#SPJ1
Gabriel bought 12 donuts and fritters from the
bakery. Donuts cost $1.00 and fritters cost
$2.00. Gabriel spent a total of $17.00. How
many donuts (d) and how many fritters (f) did
he buy?
d+f=12
1d + 2f = 17
[?] donuts [?] fritters
Answer:
Gabriel spent $12 in just Donuts. If fritters are $2 a piece, he could buy 2 fritters at max. Perhaps he bought an extra donut to equal $17.
Step-by-step explanation:
Answer:
7 donuts and 5 fritters
Step-by-step explanation:
The midpoint of segment AB is M. If the coordinates of M are (1/2,-2) and the coordinates of B are (6,1), what are the coordinates of A?
The coordinates of A are (-5, -5).
How to determine the midpoint of a given segment?
The center point of a straight line can be located using the midpoint formula. We can use this midpoint formula to determine the coordinates of the supplied line's midpoint in order to discover its location on a graph. Assuming that the line's endpoints are (x₁, y₁) and (x₂, y₂), the midpoint (a, b) is determined using the following formula:
(a , b) ≡ (((x₁ + x₂)/2), ((y₁ + y₂)/2))
Given, the line segment under consideration is AB as endpoints.
And, the co-ordinate of B is = (6, 1)
Also, the midpoint of segment AB i.e. M is = (0.5, -2)
Let the co-ordinate of A be = (x, y)
Using the available literature and formula, we get
(0.5, -2) ≡ (((x + 6)/2), ((y + 1)/2))
Equating both parts in the given equation,
0.5*2 = x + 6 ⇒ 1 = x + 6 ⇒ x = -5
and, (-2)*2 = y + 1 ⇒ -4 = y + 1 ⇒ y = -5
Therefore, the co-ordinates of A are (-5, -5).
To learn more about this, tap on the link below:
https://brainly.com/question/5566419
#SPJ9
Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below.
The break-even points for her graph are given approximately as follows:
C. 15 and 47.
Expense, revenue and break-even pointThe expenses and the revenue are defined as follows:
Expenses: amount spent by the person/company to develop each unit of the product, that is, the cost of the product.Revenue: amount earned by the person/company for each unit of the product sold.The break-even points are the points in which the expenses and the revenue are equal.
In the context of this problem, the functions are given as follows:
Revenue: given by the parabola.Expenses: Given by the line.The break-even point is given by the intersection of the two curves, which happen around x = 15 and x = 47, hence option C is the correct option.
Missing informationThe problem is given by the image at the end of the answer.
More can be learned about break-even points at https://brainly.com/question/9212451
#SPJ1
asquarematrixiscalledapermutationmatrixifitcon- tains a 1 exactly once in each row and in each column, with all other entries being 0. examples are in and are permutation matrices invertible? if so, is the inverse a permutation matrix as well?
Examples of permutation matrices are the identity matrices with a permutation in rows. Permutation matrices are invertible and the inverse is a permutation matrix as well.
A permutation matrix is a square matrix which contains exactly one 1 in each row and all other entries 0.
So a permutation matrix can be obtained by rearranging the rows or columns of an identity matrix. Identity matrix is also a permutation matrix with entry 1 exactly once in each row and all other entries 0.
Example of a permutation matrix:
[tex]\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right][/tex]
A permutation matrix is invertible because an identity matrix is invertible [since det(I) = 1] and a permutation matrix is just got by exchanging rows or columns which does not change its determinant. So the determinant of a permutation matrix ≠ 0 and hence invertible.
The inverse of a permutation matrix is its transpose itself. The transpose is again a permutation matrix.
Learn more about permutation matrix at https://brainly.com/question/17045948
#SPJ4
The area of a triangle is 1/2bh
1) rewrite the formula for b
2)rewrite the formula for h
Answer:
1. b = 2A/h
2. h = 2A/b
Step-by-step explanation:
All you have to do is isolate the variable.
1.
Isolate b:
A = 1/2 x b x h
Multiply each side by 2
2A = b x h
Isolate b by dividing both sides by h
b = 2A/h
2.
Isolate h:
A = 1/2 x b x h
Multiply each side by 2
2A = b x h
Isolate h by dividing both sides by b
h = 2A/b
IMAGE ATTACHED Help with this please.
Part of a full number and a means of dividing a number into equal pieces are represented by fractions.The denominator is the total number of parts in the whole, while the numerator is the number of equal portions being counted.
Solve the problem ?
An element of a whole is a fraction.The number is represented mathematically as a quotient, where the numerator and denominator are split.Both are integers in a simple fraction.A fraction appears in the numerator or denominator of a complex fraction.The numerator of a proper fraction is less than the denominator.Richard can finish reading a book in (missing) hours.Need something in those places to determine the precise response, but generally speaking if you simply want to get his unit rate, first convert the data into a fraction:Books per hour equal books per hourThen, to determine his unit rate, divide the top by the bottom (books per 1 hour).For instance:Richard would read one book in an hour if he could finish reading half of a book in that time.It becomes a little more complicated: if he can read 2 1/4 th of a book in an hour, he can read: 2 1/4/ 1/12= 0.5/0.083 = 6.024I'm not sure if you'll be dealing with fractions, decimals, or entire numbers, but if they're fractions, bear in mind that you divide fractions by keeping the first fraction the same, multiplying it, and then flipping the second fraction. 2 1/4/ 1/12= 0.5/0.083 = 6.024To learn more about fraction refer
https://brainly.com/question/17220365
#SPJ13
f(n)=3.3n-1 for n ≥ 1
The first five terms of the given function is:
f(1) = 2.3
f(2) = 5.6
f(3) = 8.9
f(4) = 12.2
f(5) = 15.5
Functions: The core concept of mathematics calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h.
The given function is f(n) = 3.3n-1 for n>= 1
The first 5 terms of this function are as follows:
f(1) = 3.3(1)-1
= 3.3-1 = 2.3
f(2) = 3.3(2)-1
= 6.6-1 = 5.6
f(3) = 3.3(3)-1
= 9.9-1
=8.9
f(4) = 3.3(4)-1
= 13.2-1
=12.2
f(5) = 3.3(5)-1
= 16.5-1
= 15.5
Learn more about functions:
https://brainly.com/question/12431044
#SPJ1
Please help for 50 points
Which of the following points are solutions to the given system?
3x-4y<10
2x+6y≥-8
Select all that apply
(0, 4)
(2, –1)
(2, –2)
(8, 2)
(–1, –1)
Answer: (0,4) and (-1,-1)
Step-by-step explanation:
1) Plug in all of each equation
1a) (0,4)
3(0)-(4)<10
0-4< 10
-4< 10
2(0)+6(4)>=-8
0+24 >= -8
24>= -8
Works!
1b) (2,-1)
3(2)-4(-1)<10
6+4<10
10<10
Nope.
1c) (2,-2)
3(2)-4(-2)<10
6+8<10
14<10
Nope.
1d) (8,2)
3(8) -4(2) < 10
24 - 8 < 10
16<10
Nope.
1f) (-1,-1)
3(-1)-4(-1) < 10
-3 +4 < 10
1 < 10
2(-1)+6(-1)>=-8
-2+-6 >= -8
-8 >= -8
Works.
The bill amount for Diana's brunch was $35.80. She wanted to leave 18% of the total bill as a tip. How much should the tip
be?
Daniel walks at a speed of 4 miles per hour. Daniel leaves his house at 1:00 p.m. and walks toward a playground exactly 2 miles away.
Daniel's mother plans to walk to the playground too. She walks at a speed of 6 miles per hour.
At what time should Daniel's mother leave the house to arrive at the playground at the same time as Daniel?
Daniel's mother should leave the house at 1:10 P.M. to arrive at the playground at the same time as Daniel.
According to the question,
We have the following information:
Speed of Daniel = 4 miles per hour
So, it means that Daniel covers 4 miles in 1 hour.
1 hour = 4 miles or 4 miles = 1 hour
1 mile = 1/4 hour
1/4 hour means (60/4) minutes or in other words 15 minutes.
Now, Daniel will cover 1 mile in 15 minutes.
So, the time taken by Daniel to cover 2 miles = 15*2 minutes
Time taken by Daniel to cover 2 miles = 30 minutes
So, Daniel will reach the playground at 1:30 P.M.
Now, speed of Daniel's mother = 6 miles per hour
So, we have:
6 miles = 1 hour
6 miles = 60 minutes
1 mile = 60/6 min
1 mile = 10 min
So, to cover 2 miles, Daniel's mother will take (2*10) minutes or 20 minutes.
Now, Daniel will reach the playground at 1:30 P.M.
So, Daniel's mother should start from her house at 1:10 P.M.
Hence, Daniel's mother should start at 1:10 P.M.
To know more about time here
https://brainly.com/question/28329814
#SPJ1
Gloria is making flower arrangements for a wedding. She has a total of 112 flowers and 14 vases to fill. What is the unit rate of
flowers per vase? (1 point)
O 8 flowers
O 14 flowers
10 flowers
6 flowers
Taylor and her children went into a movie theater and she bought $81 worth of bags of popcorn and candies. Each bag of popcorn costs $9 and each candy costs $4.50. She bought 6 more candies than bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of candies, y,y, that Taylor bought.
Answer:
x = bags of popcorn = 4y = candies = 10Step-by-step explanation:
You want to find the number of bags of popcorn (x) and candies (y) Taylor bought for $81, given that popcorn costs $9 and candies cost $4.50, and she bought 6 more candies than popcorns.
EquationsThe equations relating x and y are ...
6x +4.5y = 81 . . . . . . . . the total cost of the snacksx + 6 = y . . . . . . . . . . . there were 6 more candies than popcornsSolutionThe attached graph shows the solution of thees equations is ...
(x, y) = (4, 10)
Taylor bought 4 bags of popcorn and 10 candies.
<95141404393>
PLEASE HURRY
Simplify:
6m/m-3 + m/m+1
Simplify
Identify the common factor
{6m/m-3 + m/m+1
(m+1) . (6-3) /(m+1) + (m-3)/ (m+1)
Add fractions with the same denominator together.
terms to put constants on the left and reorder them
Solution
7m^{2}+3m / m^2-2m-3
The answered are 7 3 2 3
What does the algebraic expression M mean?
The slope of a line is represented by the letter "m" in algebra. A line's slope defines both its direction and steepness.
The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention. People have discovered over time that adding or multiplying doesn't depend on the order of the numbers
to learn more about algebraic expression
https://brainly.com/question/4541471
#SPJ13
Did I get these right
Answer:
Almost!
Step-by-step explanation:
Problems 1-9 and 11 are correct, but not problem 10 or 12
For problem 10, 12/6 does equal 6/1, so it would just be the whole number of 6 as your final answer as it doesn't need to be simplified further.
For problem 12, -4/6 can be simplified further to -2/3 by dividing by 2.
Answer: Very close!
Step-by-step explanation:
Problems 7, 8, 9, and 11 are correct but not 10 or 11, because they are not in simplest form.
2/1 can be simplified to 2, and -4/6 can be simplified to -2/3.
what expression is equivalent to 1.2y + 4.5 - 3.4y - 6.3
The expression is equivalent to the given expression by combining like terms is -2.2[tex]y[/tex]-1.8 .
What is a expression?An expression is a set of terms combined using the operations +, -, x or ÷
and the variables. Number, symbols and operators are grouped to form an expression . An expression can be simplified by combining like terms.
Given that,
1.2y + 4.5 - 3.4y - 6.3
The terms that has same variables are like terms Combine like terms by adding or subtracting the terms.
-1.2[tex]y[/tex]-3.4[tex]y[/tex]+4.5-6.3
-2.2[tex]y[/tex]-1.8
Hence, The expression is equivalent to the given expression by combining like terms is -2.2[tex]y[/tex]-1.8 .
To learn more about expression from the given link:
https://brainly.com/question/20757557
#SPJ9
Mrs Flores 'sixth grade class has 15 students 9 of which are boys .What is the ratio of boys and girl in Mrs flores classroom in the simplest form ?
It know it 3:2 but can you tell me why because I am confused
Answer:
see explanation
Step-by-step explanation:
there are 15 students , 9 of which are boys, then
number of girls = 15 - 9 = 6
ratio of boys : girls = 9 : 6 = 3 : 2 ← in simplest form
Since wY, XZ, and AB intersect at 0, WOA ~ BOY and
XOB by the vertical angles theorem. It is given that
AOZ. By the transitive property, BOY XOB.
AOZ
WOA
What is the conclusion reached by this proof?
the conclusion is that angle AOZ and XOB is approximately equal
We are given that WOA and AOZ are equal, and since the AB intersects the line WY and XZ, were from the vertical angles theorem, This hypothesis says that when two straight lines meet, they frame two sets of linear sets with congruent angles, then angle WOZ and XOY equal and XOW and YOZ are too, now since the Ab intersects those angle on pint A and by the transitive property If any angles or segments are congruent to the same angle, at that point they are consistent to each other, according to which it was clear that both the angle BOY and XOB are approximately equal, there vertical angle which are angles WOA and AOZ are equal to them, So it can be concluded that the angle AOZ and XOB are equal too.
To know more about angles refer to the link https://brainly.com/question/28451077?referrer=searchResults.
#SPJ9
Answer:
b
Step-by-step explanation:
for edmuntum
use the english and metric equivalents to the right, along with dimensional analysis, to convert the given measurement to the unit indicated. in. to cm
It should be noted that the conversion of the measurement of 290 inches will be 0.7366 decameter.
How to illustrate the information?
It should be noted that from the information,.it about equivalents dimensional analysis, to convert the given measurement to the unit indicated.
In this case, we want to convert 290 in. to dam.
It should be noted that we have to divide rye length value by 393.7
Therefore, it should be noted that 290 inches will be:
= 290 / 393.7
= 0.7366 decameter.
Therefore, it should be noted that the conversion of the measurement of 290 inches will be 0.7366 decameter.
Learn more about of measurement here
https://brainly.com/question/28764773
#SPJ4
41.4 is what percent of 92?
Answer: 45
41.4 is 45 percent of 92
Answer: 45%
Step-by-step explanation:
Solution for 41.4 is what percent of 92:
41.4:92*100 =
(41.4*100):92 =
4140:92 = 45
Now we have: 41.4 is what percent of 92 = 45
Question: 41.4 is what percent of 92?
Percentage solution with steps:
Step 1: We make the assumption that 92 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: 100%=92.
Step 4: In the same vein, x%=41.4.
Step 5: This gives us a pair of simple equations:
$100%=92(1).
$x%=41.4(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x%= 92/41.4
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100% = 41.4/92
-> x=45%
Therefore, 41.4 is 45% of 92.
In a pond, the ratio of toads to frogs was 3: 10.
9 more frogs then entered the pond, and the ratio of toads to frogs became
3:11.
Work out how many toads are in the pond.
Toads are in the pond is 27.
What is a ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
"the ratio of men's jobs to women's is 8 to 1".
Given that,
The ratio of toads to frogs was 3: 10.
Let the number of toads = 3x
number of frogs = 10x
9 more frogs then entered the pond and the ratio of toads to frogs became 3:11.
[tex]\frac{3x}{10x+9} =[/tex] [tex]\frac{3}{11}[/tex]
[tex]\frac{x}{10x+9} = \frac{1}{11}[/tex]
11x = 10x+9
x = 9
number of toads = 3x = 3×9 = 27
Hence, Toads are in the pond is 27.
To learn more about ratio from the given link:
https://brainly.com/question/2914376
#SPJ9
How do u solve this?
Answer:
See below
Step-by-step explanation:
the two angles add to a total of 360 °
5x - 40 + `150 = 360
x = 50°
Need ASAP!! Please solve the equation and include steps if you're able to :). Best answer with steps gets Branliest
Answer:
I couldn't do the second question but I did the first and third
1. x=125
3. 11.84
Step-by-step explanation:
2x+6x= 1,000 Set up equation
8x=1,000 Add the like terms-so, 2x and 6x
x=1,000/8 Isolate the x by taking the 8 to the other side to divide
x=125
-2.3x-4.2x=-66.3 Equation
-5.6x= -66.3 Add -2.3 and -4.2 because both r negative
x=-66.3/-5.6 isolate x bu dividing
x= 11.84 Rounded answer
please look at the image and answer, Thank you!
Trevon left home and traveled toward the recycling plant. Mike left one hour later traveling 14 mph faster in an effort to catch up to him. After four hours Mike finally caught up. Find Trevon's average speed.
The most appropriate choice for speed will be given by-
Average speed of Trevon is 56 mph
What is speed?
The distance travelled by the body per unit time is called speed of the body.
If d is the distance travelled by the body and t is the time taken, then
speed = [tex]\frac{d}{t}[/tex]
Speed is a scalar quantity as the direction is not taken into account.
Here,
Let the average speed of Trevon be [tex]x[/tex] mph
Average speed of Mike = [tex](x + 14)[/tex] mph
Time for which Trevon driven = [tex](4 + 1)[/tex] h
= [tex]5[/tex] h
Time for which Mike driven = [tex]4[/tex] h
By the problem,
[tex]5 \times x = 4 \times (x+14)[/tex]
[tex]5x = 4x+56[/tex]
[tex]5x-4x=56[/tex]
[tex]x =56[/tex] mph
To learn more about speed, refer to the link:
https://brainly.com/question/24739297
#SPJ9
Simplify The answer please
Answer:
-18/35
Step-by-step explanation:
satisfy this equation x + |y| = y + |x|
IF -10 ≤ x ≤ 10 and -10 ≤ y ≤ 10
The equation x + |y| = y + |x| that contains the absolute values of x and y, is satisfied when the values of x and y are given by the iniquities;
0 ≤ x ≤ 10 and 0 ≤ y ≤ 10What is an absolute value?The absolute value or modulus of a real number gives its non negative value irrespective of the sign (positive or negative) of the number.
The given equation is presented as follows;
x + |y| = y + |x|
The possible values of x and y are;
-10 ≤ x ≤ 10 and -10 ≤ y ≤ 10
Collecting the absolute values of the equation on one side gives;
|y| - |x| = y - x, which gives;
+y - +x = y - x
The equation is therefore satisfied when both x and y are larger than zero.
Therefore, x + |y| = y + |x|, gives;
0 ≤ x ≤ 10, and 0 ≤ y ≤ 10
Learn more about inequalities here:
https://brainly.com/question/17136458
#SPJ1
Graph the image of rectangle CDEF after a translation 4 units left and 9 units up.
The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.
In this question, we have been given the image of rectangle CDEF.
The coordinates of rectangle CDEF are:
C = (-6, -6)D = (-2, -6)E = (-2, 0)F = (-6, 0)
The rectangle CDEF is a translated 4 units left and 9 units up.
When rectangle CDEF is a translated 4 units left then the coordinates of rectangle would be,
C' = (-10, -6)
D' = (-6, -6)
E' = (-6, 0)
F' = (-10, 0)
Then rectangle C'D'E'F' is translated 9 units up then the coordinates of rectangle would be,
C'' = (-10, 3)D'' = (-6, 3)E'' = (-6, 9)F'' = (-10, 9)
The graph of the image of rectangle CDEF after a translation 4 units left and 9 units up is as shown below.
Learn more about the translation here:
https://brainly.com/question/12463306
#SPJ1
bu sorunun çözümünü yazarmısınız çok acil lütfennnnn
Answer:
Step-by-step explanation:
i poopeyd in ma pants
Aaron has two summer jobs. During the week he works in the grocery store, and on the weekend he works at a nursery. He gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does he earn if he works 13 hours at the grocery store and 9 hours at the nursery? How much does he earn if he works gg hours at the grocery store and n hours at the nursery?
Total pay, 13 hours at the grocery store and 9 hours at the nursery:
Total pay, g hours at the grocery store and n hours at the nursery:
If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,
Part a
He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery
Part b
He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery
The payment at the grocery store per hour = $20
The payment at the nursery per hour = $21
Part a
Number of hours he works at the grocery store = 13 hours
Number of hours he works at nursery = 9 hours
Total pay = 13×20 + 9×21
= 260 + 189
= $449
Part b
Number of hours he works at the grocery store = g hours
Number of hours he works at nursery = n hours
Total pay = 20g + 21n
Hence, If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,
Part a
He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery
Part b
He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery
Learn more about total pay here
brainly.com/question/17043970
#SPJ1
Given 4 1/10 -3 5/12 determine the product
The product of 4 1/10 and -3 5/12 is -14 1/120
What are fractions?Fractions are simply described as a subset of a whole or the part of a whole.
They are several types of fractions, some of which includes;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsSome examples of mixed fractions; 3 1/4, 5 1/2, 6 1/4
Some examples of simple fractions; 1/2, 1/4, 1/6
Some examples of proper fractions; 3/4, 4/5, 6/7
Some examples of improper fractions; 3/2, 4/3, 6/5
Given the mixed fractions;
4 1/10 × -3 5/12
convert to improper fractions
41/10 × - 41/12
Multiply through
- 1681/120
Find the ratio
- 14 1/ 120
Hence, the value is - 14 1/ 120
Learn more about fractions here:
https://brainly.com/question/11562149
#SPJ1