Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
82.50 +46.63 i need help
The number of accidents that occur
each day at a certain intersection along
with the corresponding probabilities are
shown.
Accidents
0
1
2.
3
4
Probability
.935
.03
.02
.01
.005
Find the expected number of accidents
each day.
Enter
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12
An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answer:
$900
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence Probability(p) Value(v) v × p
A claim is made 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim 0.9 $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
i’m not asking for much :(
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
mcfluffythebigrubberducky
Convert:
5 m = ________mm
Answer:
5m = 5000 mm
Step-by-step explanation:
Help pls I really need it
Answer:
Infinite number of solutions
Step-by-step explanation:
when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:
2 = 2
This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".
describe a multiplication problem in which the product is between 0.005 and 1
simplify : 3ac + 5ab – 4ab + ac + 8bc
Answer:
4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd
How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
5x+7y= -21 (ANSWER?)
Answer:
y=-5/7x-3
Step-by-step explanation:
so, we need the equation to be in y=mx+b form.
The equation right now is 5x+7y=-21 in standard form.
We need to isolate y onto one side
Here's the equation:
5x+7y=-21
subtract 5x from both sides
7y=-5x-21
divide by 7
y=-5/7x-21/7
simplify
y=-5/7x-3
Hope this helps! :)
N is an integer.
Write the values of n such that -15<3n≤6
Answer:
n = - 4, - 3, - 2, - 1, 0, 1, 2
Step-by-step explanation:
Given
- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )
- 5 < n ≤ 2
Thus n ≠ - 5 but n can equal the upper limit of 2
Hence
n = - 4, - 3, - 2, - 1, 0 , 1, 2
Can someone plz answer number 10 and 11 don’t worry about number 12
Answer:
No
Step-by-step explanation:
No. I am not helping because you spam random "answers" to gain points for your account. If you want to be taken seriously, take everyone else seriously.
9514 1404 393
Answer:
10. x = 4
11. x = -5
Step-by-step explanation:
10. Use the perimeter formula. Collect terms, subtract* the constant, divide by the coefficient of the variable.
P = 2(L+W)
42 = 2(5x +(x-3))
21 = 6x -3 . . . . . . divide by 2, collect terms
24 = 6x . . . . . . . . add 3
4 = x . . . . . . . . . . divide by 6
__
11. Collect terms, subtract the constant, divide by the coefficient of the variable.
-8x -3(2x +1) = 67
-8x -6x -3 = 67 . . eliminate parentheses
-14x -3 = 67 . . . . . collect terms
-14x = 70 . . . . . . . add 3
x = -5 . . . . . . . . . . divide by -14
_____
* "Subtract" and "add the opposite" are the same mathematical operation. In both these problems, the constant we want to get rid of is -3, so we add 3 (the opposite of -3). Of course, that operation is done to both sides of the equation.
9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2
9/12 + 3/12 = 12/12 = 1
Therefore, 1 is your answer.
Answer:
Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
Step-by-step explanation:
We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]
For solving fractions we need to take LCM of denominators.
The LCM of 12, 12 is 12
So, solving:
[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]
So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
What is the solution to the equation? 9−3x=12x+10
Answer:
-1/15
Step-by-step explanation:
Answer:
x=-15
Step-by-step explanation:
9-3x=12x+10
-10
-1-3x=12x
+3x
-1=15x/-1
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8
Answer:
-3/4
Step-by-step explanation:
Answer:
-3/4 on EDG 2020
Step-by-step explanation:
Got it Right :)
Find the 22nd term of the sequence described by the
explicit formula:
f(n) = 8 + 3(n - 1)
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]
Step-by-step explanation:Given that the nth term of the Arthemetic Sequence is given by :-
[tex]\implies f(n) = 8 + 3(n-1) [/tex]
And we need to find the 22nd term .
So in place of n substitute 22 .
[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]
Hence the 22nd term is 71 .How might we know whether X is a positive number negative number or 0 without solving the equation 5x=-16.5
Answer:
Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)
Step-by-step explanation:
6 3/5 - 2 3/5 simplest form
Answer:
4
Step-by-step explanation:
Evaluate the expressions
4x+(-2), when x=3
Show your work here
Answer:
10
Step-by-step explanation:
PEMDAS MATH
Please help me I really need help
Answer:
5
7
9
11
13
Step-by-step explanation:
u just have to plot the x values into the x variable if that makes sense
here is an exampla
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Given:
X=number of hours
Y=number of tents made
Table of value.
To find:
The slope and its interpretation.
Solution:
Consider any two points from the table, i.e., (0,6) and (1,7).
The slope is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-6}{1-0}[/tex]
[tex]m=\dfrac{1}{1}[/tex]
[tex]m=1[/tex]
Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.
What is the magnitude of -5.8
please friend complete your answer
The sales tax in a certain county is 7%. If an item marked at $19.94 is sold within the county, estimate the final cost of the item once tax is included.
Given:
Rate of sales tax = 7%
Marked price of an item = $19.94
To find:
The final cost of the item once tax is included.
Solution:
We have,
Rate of sales tax = 7%
Marked price of an item = $19.94
[tex]\text{Sales tax}=\dfrac{7}{100}\times 19.94[/tex]
[tex]\text{Sales tax}=1.3958[/tex]
Now, final cost of the item once tax is included is
[tex]\text{Final cost}=\text{Marked price}+\text{Sales tax}[/tex]
[tex]\text{Final cost}=19.94+1.3958[/tex]
[tex]\text{Final cost}=21.3358[/tex]
Therefore, the final cost of the item once tax is included is $21.3358.
There are 12 basketball players on the team. In order to complete the main composition of the team for the
game, the coach can choose any 5 players from the team. How many different combinations of the main
compositions the coach can complete?
I get 792 but why is the answer 7.92. Kinda don't understand.
Step-by-step explanation:
We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.
We will use combinations formula to solve our given problem. , where,
n = Number of total items,
r = Number of items being chosen at a time.
Upon substituting our given values in combinations formula we will get,
Therefore, the coach can choose from 792 combinations
Two of the vertices of a rectangle are (6,1) and (7,1). If the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices?
Answer:
(6,9) and (7,9) - assuming the graph only has a single quadrant and the rectangle is vertical
Step-by-step explanation:
We know that the distance between (6,1) and (7,1) is one unit. Because a rectangle has 2 pairs of equal sides, we know that the distance between the 2 missing coordinates is equal to one. We then add these two units. Because the rectangle has a parameter of 18 units, we then have to subtract these 2 units from the total, leaving us with 16 units for both sides. We then divide 16 by 2 because there are 2 sides, leaving us with 8 units for each side. Assuming we are working with a coordinate graph (with only one quadrant instead of 4 on a coordinate plane), and assuming the rectangle is vertical, the missing coordinates should be 8 units above the coordinates you were given. Hope this helps! :)
Please help me (6+6)/2=
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(6 + 6)/2
Step 2: Evaluate
(Parenthesis) Add: 12/2Divide: 6At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards
Check comments for multiple choice answers
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
[tex]v=t^2-5t+4 ,\, t\geq0[/tex]
Is the velocity is positive (v>0), then our object will be moving forwards.
And if the velocity is negative (v<0), then our object will be moving backwards.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
[tex]v<0[/tex]
By substitution:
[tex]t^2-5t+4<0[/tex]
Solve. To do so, we can first solve for t and then test values. By factoring:
[tex](t-4)(t-1)=0[/tex]
Zero Product Property:
[tex]t=1, \text{ and } t=4[/tex]
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]
So, the (only) interval for which v is <0 is the second interval: 1<t<4.
Hence, our answer is A.
The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.
Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200
(a) How much money does Christine earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.
I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!
Answer : Answer:
a) $10 per hour
b) Sandra
Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she works and y is the amount of money she earns
The table shows the amount of money Susan cams for different numbers of hours worked
Susan's Earnings
Time (h) Money Earned
5 40
8 64
10 80
(a) How much money does Sandra eam per hour? Show your work
(b) Who earns more per hour? Justify your answer
Answer:
a)
y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).
y = 10x
y = 10(1)
y = 10
$10 is Sandra's hourly rate.
b)
To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.
5 hours = $40 so per hour is 40/5 = 8
8 hours is 64, so per hour 64/8 = 8
10 hours is 80, so 80/10 = 8
The table is justified at $8 per hour.
We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.
6. 1350 = 5 = find the quotient
Answer:
this question is of high school or collage
I want 196 and 300
The rest I did .
Can anyone plz help.
Thanks in advance
Answer:
4{(9-2)^2}
[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]
Ratio of 200m and 1km.
Answer:
the ratio of this one is 0.2\1
Answer:
To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.
1 * 1000 = 1000m
We know we need to calculate the ratio 200:1000.
We can know divide both quantities by 200 and get...
200/200:1000/200 = 1:5
And now,, we know this ratio is 1:5..