Answers
Answer:
Not a linear function
Step-by-step explanation:
3xy = 27 is not a linear function.
A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form). An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.
Isolating y from the left-hand side:
3xy = 27
On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy is the same as expressing it as 3·x·y.
We cannot simply add or subtract x or y to isolate either one of the variables. The proper mathematical operation to do so is by division.
Hence, we must divide both sides by 3x to isolate y:
[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]
[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0. The graph of an inverse function is a hyperbola.
Attached is the graph of [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] to show why it is not considered as a linear function. A linear function will show a straight line.
Related Questions
the sum of 22 and n is equal to 45.13
Answers
Answer:
23.13
Step-by-step explanation:
Is the Ordered Pair (6, 8) a solution to the equation y=12x+4?
True, the Ordered Pair is a solution to the equation.
False, the Ordered Pair is NOT a solution to the equation.
Answers
Answer:
The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.
Step-by-step explanation:
There are 56 fourth graders going on a field trip. The teacher wants to divide them evenly into groups of 4 students and no more than 8 students. What are ways to divide the students evenly into groups
Answers
56 ÷14 =4
Step-by-step explanation:
dividing
56÷7=8
Original price of shorts $53.95 Discount 30% Tax 4.5 percent %
Answers
Answer:
$39.50 is the final payment.
Step-by-step explanation:
0.3 x 53.95 = 16.185
53.95 - 16.185
= 37.765
0.045 x 37.765 = 1.699425 + 37.765
= 39.464425 and round
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:
A)
(1, 1)
B)
(–1, 1) and (1, 1)
C)
(–1, 1) and (0, 2)
D)
(–1, 1)
Answers
Answer:
D) (–1, 1)
Step-by-step explanation:
The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.
y = y
-x² +2 = x² +4x +4
2x² +4x +2 = 0 . . . . . . . . . add x² -2
2(x +1)² = 0 . . . . . . . . . factor
x = -1 . . . . . . . . . . one solution that makes the factors zero
y = -x² +2 = -(-1)² +2 = -1 +2 = 1
The only solution is (x, y) = (-1, 1).
Abby has $32 to spend on party supplies. After buying 9 packs of noisemakers, she has $20 left.
How much did each pack of noisemakers cost?
A
$0.75
B
$1.15
C
$1.33
D
$12.00
Answers
Answer:
$1.33
Step-by-step explanation:
32-20 = 12
12/9 = $1.33
PLEASE HELP ME!! I really need the help with this question!!
Answers
A simple way to test if a relation may be taken as a function is by applying the Vertical Line Test. If a Vertical Line crosses the graph only once, then it is a function. In this question, only the first one can be considered to be a function.
Because in other words, only the first graph shows one value for x corresponding to another for y value. Not the case for the second and the third graph displaying two values for x for each y value.
Zack bought 2 1/2 pounds of green grapes and 1/5 of a pound of red grapes. How much
more did the green grapes weigh than the red grapes?
Answers
Answer:23/10 pounds heavier
Step-by-step explanation:
first we transform the mixed fraction to a normal fraction
2 1/2 = 5/2
Now transform
5/2 = 25/10
1/5 = 2/10
25/10 - 2/10 = 23/10
So the green grapes weigh 23/10 pounds more than the red grapes.
Johnny Rockefeller had a bad credit rating and went to a local cash center. He took out a $100.00 loan payable in two weeks for $107.50. What is the percent of interest paid on this loan?
Answers
Answer:
7.5% Because out of 100 parts there are an additional 7.5 of them. Good luck mate.
lets simplify
please help step by step
Answers
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
A local store sells bags of game pieces with various colors. Four out of every 19 pieces are red. The store sold a bag with 76 game pieces. What number of the game pieces are red? Write your answer as a whole number.
Answers
Answer:
16 game pieces that are red
Step-by-step explanation:
What Value is equivalent to 30-6 x 3
Answers
Answer:
5/1
Step-by-step explanation: I could be wrong though
Have a Good Day <3
Simplify this equation
Answers
Answer:
I think the answer might be 12x⁷
Please answer and show your work
Answers
Answer:
check online for more information
if someone helps me with dis ill def give em brainliest
Answers
Answer:
with what?
Step-by-step explanation:
I think you forgot to attach something.
Solve
-46 + - 4
A. 50
B. 42
C. -42
D. -50
Answers
The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.
Step-by-step explanation:To find the value of this expression, let's eliminate the parentheses and extract the numbers.
To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.
_ When the signs are the same: just add them up.
_ When the signs are different: just subtract.
Resolution:[tex]\large \sf =-46 + (- 4)[/tex]
[tex]\large \sf =-46-4[/tex]
[tex]\boxed{\boxed{\large \sf -50 }}[/tex]
So, the numeric value of this numeric expression will be -50.
According to Belgium's 2018 Labor data: Number of employed= 1300, Number of unemployed = 300, Adult population =3,000. The unemployment rate of Belgium in 2018 was
a.10%
b.13%
c.18.75%
d.63.3%.
Answers
Item 2
Which equation represents this sentence?
Twice the difference of 0.75 and a number is−3.
2(n−0.75)=−3
2(0.75−n)=−3
2n−0.75=−3
0.75−2n=−3
Answers
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
twice means to multiply by 2
difference means to subtract, difference of 0.75 and a number is 0.75-n (n representing unknown number)
equals -3
Hope this helps!
Answer:
B. 2(0.75-n)=-3
Step-by-step explanation:
it's B
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
Answers
Answer:
240$
Step-by-step explanation:
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
48 : 20 * 100 = 240
Use the correct trig function to find the value of x. SOH,CAH, TOA
Answers
x = 18.4
Step-by-step explanation:
For this problem, we are going to use the cosine function to find x:
[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]
[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]
Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?
Answers
a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?
Answers
Answer:
400 bushels of the 15%
600 bushels of the 10%
Step-by-step explanation:
x bushels of the 15% plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%
15x + 10(1000 - x) = 12(1000)
distribute
15x + 10000 - 10x = 12000
Combine like terms
5x = 2000
Divide both sides by 5
x = 400 bushels of the 15%
1000 - x = 600 bushels of the 10%
The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.
Let x be the bushels.
One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.
The linear equation can be framed:
15x + 10(1000 - x) = 12(1000)
By using the distributive property:
15x + 10000 - 10x = 12000
5x = 2000 (combine like terms)
x = 400 bushels of the 15%
= 1000 - x
= 1000 - 400
= 600 bushels of the 10%
Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis. Given the three events, which of the following statements is true? Select all that apply.
Event A: The mother or father carries the recessive gene.
Event B: The father carries the recessive gene.
Event C: The baby is at risk for Cystic Fibrosis.
Answers
Answer:
Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis.
Given the three events, which of the following statements is true?
Select all that apply.
Event A: The mother or father carries the recessive gene.
Event B: The father carries the recessive gene.
Event C: The baby is at risk for Cystic Fibrosis.
Select all that apply:
Event A and Event B are mutually exclusive.
Event B and Event C are mutually exclusive.
Event A and Event C are not mutually exclusive.
Event A and Event C are mutually exclusive.
Event A and Event C are not mutually exclusive.
Remember that in general, A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.
In this question, note that if the mother or father carries the recessive gene for cystic fibrosis, the baby is at risk. So here, A and C are not mutually exclusive, and B and C are not mutually exclusive.
A and B are not mutually exclusive because they share an outcome: the father carrying the recessive gene.
Step-by-step explanation:
If a university accepts 40% of those students who apply for entrance, and 75% of admitted applicants accept, what percentage of total applicants actually accepts offers of admission?
Answers
Answer:
30%
Step-by-step explanation:
75% of 40 is 30
The percentage of total applicants that accepts offers of admission is = 30%
Calculation of percentage of total applicantsThe percentage of acceptance for students that apply for entrance is = 40%
The percentage of admitted applicants that accept the offer= 75%
This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.
That is, 75/100 × 40%
= 3000/100
= 30%
Therefore, the percentage of total applicants that accepts offers of admission is = 30%
Learn more about percentage here:
https://brainly.com/question/17880579
I NEED HELP ASAP PLEASE HELP! AT BATTING PRACTICE TJ HAD 20 BASEBALLS PITCHED TO HIM HIT HIT THE BALL 7 TIMES! WHAT PERCENT OF THE BALLS DID TJ HIT?
Answers
Write an equation for the line with a slope 3 and Y intercept -2
A. y=-3x -2
B. y= 1/3 x -2
C. y= 3x - 2
with explanation pls
Answers
Answer:
C. y=3x-2
Step-by-step explanation:
Well we know the equation: y=mx+b
The slope is m, so m= 3
And the y-intercept is b, so b= (0,-2) or b=-2
Then,
Subsitute everything in:
y= 3x -2
I hope this helped :)
What is 18/100 written as a decimal?
Answers
[tex]0.18[/tex]
is the decimal point
let f be the function given by f(x)=sin x + e^-x +3x. which of the following statements is true for y=f(x).
Answers
Applying derivatives, it is found that the correct options are:
A. [tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
D. [tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
The function given is:
[tex]f(x) = \sin{x} + e^{-x} + 3x[/tex]
It's first four derivatives are:
[tex]y^{\prime}(x) = \cos{x} - e^{-x} + 3[/tex]
[tex]y^{\prime\prime}(x) = -\sin{x} + e^{-x}[/tex]
Hence, option A is correct.
[tex]y^{\prime\prime\prime}(x) = -cos{x} - e^{-x}[/tex]
[tex]y^{\prime\prime\prime}(x) \neq y^{\prime}(x)[/tex], hence, option B is incorrect.
[tex]y^{\prime\prime\prime\prime}(x) = sin{x} + e^{-x}[/tex]
It is not the multiplication of the first and of the third derivative, hence option C is incorrect.
[tex]y - y^{\prime\prime\prime\prime}(x) = 3x[/tex]
[tex]\sin{x} + e^{-x} + 3x - \sin{x} - e^{-x} = 3x[/tex]
[tex]3x = 3x[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/17042788
How to divided 4 and 2/4
Answers
Answer:
8
Step-by-step explanation:
turn 2/4 into fraction by dividing 2 by 4 equals to 0.5 then divide 4 by 0.5 equals 8
what is perpendicular lines
Answers
Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D