Answer:
The following are the LINEAR functions.
[tex]2x\:+\:4\:=\:3x\:-\:8[/tex][tex]y = 3x - 2[/tex][tex]1[/tex][tex]3x\:+\:-y\:=\:24[/tex]Step-by-step explanation:
We know that linear functions are the equations with a straight line graph in an XY plane.
Also, a linear function is a function of the form
[tex]f(x)=mx+b[/tex]
where m is the slope and b is the y-intercept. The only power of the variable is 1.
So, from the given expressions we can determine that:
1) [tex]y^2=\:5x\:+2[/tex]
[tex]y^2=\:5x\:+2[/tex] is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function
2) [tex]2x\:+\:4\:=\:3x\:-\:8[/tex]
[tex]2x\:+\:4\:=\:3x\:-\:8[/tex]
[tex]x=12[/tex]
This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1
3) [tex]y = 3x - 2[/tex]
[tex]y = 3x - 2[/tex] is a linear function because it is of the form [tex]f(x)=mx+b[/tex] and the power of its x and y variables is 1. Hence, the function has a straight line graph.
4) [tex]y\:+\:x^2\:=\:12[/tex]
[tex]y\:+\:x^2\:=\:12[/tex] is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
5) [tex]y\:=\:x^2\:+\:2x[/tex]
[tex]y\:=\:x^2\:+\:2x[/tex] is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
6) [tex]1[/tex]
[tex]1[/tex] is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree [tex]0[/tex] or is the [tex]0[/tex] polynomial.
7) [tex]3x\:+\:-y\:=\:24[/tex]
[tex]3x\:+\:-y\:=\:24[/tex] is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.
In a summary, the following are the LINEAR functions.
[tex]2x\:+\:4\:=\:3x\:-\:8[/tex][tex]y = 3x - 2[/tex][tex]1[/tex][tex]3x\:+\:-y\:=\:24[/tex]i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
a. 6
b. 39
c. 74
d. 202
I need help with this question pls
Answer:
it C
Step-by-step explanation:
just think about it
What is 1350 as a fraction
Answer:
it is the same as 1350/1
Step-by-step explanation:
so it is being divided by 1, which means it is the same thing.
Answer:
Step-by-step explanation:
1350/1. any whole number you place over 1.
Evaluate the expression if f = 15 g = 5 and h = -45 F - h --------- 10
Answer: 3
Step-by-step explanation:
-15- -45= 30
30/10=3
HELP ASAP DUE IN 5!!!!
Determine whether the relationship between the two quantities described in each table is linear.
If so, find the constant rate of change. If not, explain your reasoning.
O Yes; 4 apples/tree
O Yes; 20 apples/tree
O No; No constant rate of change
O None of the above
Answer:
No; No constant rate of change
Step-by-step explanation:
5 trees > 100 apples --> 20 apples/tree
10 trees > 120 apples --> 12 apples/tree
15 trees > 150 apples --> 10 apples/tree
20 trees > 180 apples --> 6 apples/tree
A newborn kitten weighs 3 ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?
Answer:
Their is a different question in the pic then the writing?
What is the average rate of change in profit from Hour 5 to Hour 10?
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
To learn more on Rate of change click:
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Which value of b results in infinitely many solutions for the system?
9x+6y=b
3x+2y=1
6
1
5
3
Answer: 3
Step-by-step explanation:
I just finished the test and this was the answer I put and it was right.
9x+6y=b
6y=b-9x
y=b/6 -9/6x
y=b/6-3x/2
y= -3x/2 +b/6
3x + 2y = 1
2y = 1 - 3x
y = 1/2 -3/2x
y = -3/2x + 1/2
b/6=1/2
b=3
Answer:
Step-by-step explanation:
slope = 1 y-intercept = 3
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
1x is the same as x
Charlie bought two holes in 3/4 of pears for $0.76 per pound and 2 wholes and 3/4 lb of grapes for $1.40 per pound how much money in dollars and cents did Charlie pay for the pears and grapes
Answer:
Hh
Step-by-step explanation:
Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
SRS of 20 students to test for the flu. Let X = the number of students in the sample who test positive for the
flu.
Is X a binomial variable? Why or why not?
Answer:
The trials are not independent, so
X is not a binomial variable.
Step-by-step explanation:
The variable X is not a binomial variable. The reason for this is X is not independent.
What is a binomial variable?A binomial variable is a variable that determines the frequency that an event would happen in a fixed number of trials.
The conditions for a binomial variable include:
The observation fall into either a success or failure category with an equal chance of happening.There are a fixed number of observationsThe observations are independent.To learn more about binomial random variable, please check: https://brainly.com/question/25469830
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I WILL MARK BRAINIEST
please answer question 2 it shows the answer I got wrong so don’t choose that one
Answer:
C
Step-by-step explanation:
They are similar triangles as all 3 angles are same
Answer:
C. The triangles are similar
Step-by-step explanation:
Similar means same figure/shape but not the same size, congruent is exactly the same. We can see that the two triangles are similar in shape, and if u want to go that fat, they have the same angles too. But they're not the same size so they are similar.
An item costs $350 before tax, and the sales tax is $31.50.
Find the sales tax rate. Write your answer as a percentage.
I NEED HELP WITH THIS OMG
Answer:
its actually hard
Step-by-step explanation:
it is hard OMG
Answer:
∠ EDF =104°
Step-by-step explanation:
The measure of the chord- chord angle EDF is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is
∠ EDF = [tex]\frac{1}{2}[/tex] (arc EF + arc GU )
= [tex]\frac{1}{2}[/tex] (147 + 61)°
= [tex]\frac{1}{2}[/tex] × 208°
= 104°
find x
please solve this
Answer:
120°
Step-by-step explanation:
ABCD is a cyclic Quadrilateral.
[tex] \angle CBE [/tex] is the exterior angle of cyclic quadrilateral ABCD.
Since, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
[tex] \therefore x = m\angle ADC\\\\
\therefore x = 120\degree [/tex]
Guys, please help! I'm reaallllyyyy desperate!
Answer:
So first, let's substiute the variables into numbers based on your problem. We get -(-1)-(5)^2+3(-1)(5). If we solve that expression, we will get -39. So, your answer is -39. Hope this helps and good luck
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
-a-b²+3ab
-(-1)-5²+3(-1×5)
+1-25-3+25
-24-3+15
-27+15
=-12
i need some help with this
Answer:
d
Step-by-step explanation:
hope this is right
Find the constant of proportionality for the table and write in the form y = kx.
A) y = 1/6x
B) y = 6x
C) y = 7x
D) y = 42x
Answer:
The constant of proportionality for the table will be: k=6
Thus, the equation becomes
[tex]y=kx[/tex]
[tex]y=6x[/tex]Step-by-step explanation:
The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.
We know the equation
[tex]y=kx[/tex]
where k is the constant of proportionality.
Looking at the graph,
at x=7, the value of y=42
so the ratio of y/x = 42/7 = 6
at x=14, the value of y=84
so the ratio of y/x = 84/14 = 6
at x=21, the value of y=126
so the ratio of y/x = 126/21 = 6
at x=28, the value of y=168
so the ratio of y/x = 168/28 = 6
We observe that the ratio of y/x remains constant which y/x=6
so using the equation
[tex]y=kx[/tex]
take any point let say (7, 42)
42 = k(7)
42/7=k
6 = k
Therefore, the constant of proportionality for the table will be: k=6
Thus, the equation becomes
[tex]y=kx[/tex]
[tex]y=6x[/tex]
2+2= ???????
What is it
Answer: The answer would be four.
Which choice is equivalent to the expression below?
Convert 75% into a fraction and shade the circle according to the result.
Answer:
The answer is literally 3/4 as a fraction and you have to shade 15 parts.
Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?
Answer:
El tercer ángulo es 80
Step-by-step explanation:
En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)
There are several bowls containing various amounts of grapes on a table. When 12 of the bowls each had 8 more grapes added to them, the mean (average) number of grapes per bowl increased by 6. How many bowls of grapes are on the table?
Answer:
There are 16 bowls
Step-by-step explanation:
Number of bowls = x
Total grapes added = 12 x 8 = 96
The average increased by 6
So 96/6 = 16
There were 16 bowls of grapes on the table
OR
12 x 8 = 96
96/6=16
Answer:
16 bowls
Step-by-step explanation:
Number of bowls = x
Total grapes added = 12 x 8 = 96
The average increased by 6
So 96/6 = 16
There were 16 bowls of grapes on the table
Find the measure of <JKL =63°
The sum of two numbers is 116 and their difference is 18. Find the larger number.
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Answer:
67
Step-by-step explanation:
let larger number be x and the other be y.
x - y = 18
x = 18+y
now, x + y = 116
therefore, 18+y+y= 116
18 + 2y =116
2y = 116-18
2y = 98
y = 98/2 = 49
larger number = 49 + 18 = 67
Can someone please explain how I am supposed to do this I do not understand at all whatsoever.
Answer:
B. (6,-3)
Step-by-step explanation:
3x - 5y ≥ 10
(1,4) IS NOT a solution to the equation
3(1) - 5(4) ≥ 10
3 - 20 ≥ 10
- 17 ≥ 10
3x - 5y ≥ 10
(6,-3) IS a solution to the equation
3(6) - 5(-3) ≥ 10
18 + 15 ≥ 10
33 ≥ 10
3x - 5y ≥ 10
(-5,-2) IS NOT a solution
3(-5) - 5(-2) ≥ 10
-15 + 10 ≥ 10
-5 ≥ 10
3x - 5y ≥ 10
(2,0) IS NOT solution
3x - 5y ≥ 10
3(2) - 5(0) ≥ 10
6 - 0 ≥ 10
6 ≥ 10
a balloon dress 140 miles towards the lessons 45 seconds then it suddenly changes and the win flies 90 miles towards the east and that's 25 seconds What's the total distance it traveled
I need help please help me
Answer:
A, B and D
Step-by-step explanation:
The zeros of f(x) are the points located on the x- axis, that is where y = 0
We can check which ones are the solutions by finding the zeros of f(x)
To find the zeros let f(x) = 0 , that is
(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic
(x + 4)(x - 2)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 6 = 0 ⇒ x = 6
There are 3 zeros at x = - 4, x = 2, x = 6
These are located at A, B and D
Answer:
A, D, B
Step-by-step explanation:
The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.
Which of the following pairs of triangles can be proven congruent by SSS?
Answer:
D
Step-by-step explanation: