Given a line with slope of 5 and y-intercept of -1, which of the ordered pairs given below would NOT be on the line?
O (4.18)
(3, 14)
O (0-1)
O (2.9)
Answer:
(4, 18)
Step-by-step explanation:
We can just pluck the x values into the equation: y = 5x -1 to see if the y values fit.
1. y = 5(4) - 1
= 20 - 1
= 19 (Nope, 18 is not 19)
2. y = 5(3) - 1
= 15 - 1
= 14 (Yep, same as option)
3. y = 5(0) - 1
= 0-1
= -1 (Yep, same as option)
4. y = 5(2) - 1
= 10 - 1
= 9 (Yep, same as option)
The point (4, 18) is not lies on the given line.
First option is correct.
The equation of line in slope intercept form is,
[tex]y=mx+c[/tex]
Where m is slope and c is y intercept.
Given that, m = 5 and c = -1
Substitute above values
Equation of line is,
[tex]y=5x-1[/tex]
Substitute first option (4, 18) in equation of line.
[tex]18=5(4)-1\\\\18=20-1\\\\18=19[/tex], which is invalid equation.
Hence, point (4, 18) is not lies on the given line.
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Joan Arlington has twice as much money invested at 5% simple annual interest as she does at 4%. If her yearly income from the two investments is $154, how much does she have at each rate? equation
Answer:
1100
Step-by-step explanation:
the lowest common denominator of 3/4, 4/5 and 2/3 is
Answer:
The Answer Is 60
Answer:
60
Step-by-step explanation:
4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
5 10 15 20 25 30 35 40 45 50 55 60
3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60
Which of the following would be considered a sunk cost?
where's the "following" choices
8 out of 20 students attended tutorials. What is the decimal equivalent to the fraction of students who attended tutorials?
Answer:
0.4
Step-by-step explanation:
8/20 = 0.4
What is the solution set for
|s+4| = 6?
S=-2 and s=2
S=-10 and s= 2
O s=-10 and s= 10
S-2 and s = 10
what is the awnser to y=-1
Answer:
Slope: 0
y-intercept: (0,-1)
Step-by-step explanation:
Plz need help. I’m stuck on this one
Answer:
The product of 3[tex]\sqrt{8}[/tex] (4 [tex]\sqrt{3}[/tex]) is 24[tex]\sqrt{6}[/tex]
The answer is A.
Find the area of a 60 degree sector with radius 10.
Select one:
a. 209
b. 52.3
c. 188
d. 314
Answer:
(b) 52.3
Step-by-step explanation:
Given that,
Radius, r = 10
Angle, [tex]\theta=60^{\circ}[/tex]
We need to find the area of the sector. The formula for the area of the sector is given by :
[tex]A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2[/tex]
Hence, the correct option is (b).
In New Mexico, the World's Tallest Taco, which stands at a height of 356.78 feet, slowly sinks to the ground at a rate of 0.66 feet per year. After 15 years, how tall will the Taco be?
The elves were busy
planting Christmas trees.
If they planted 51 rows with
14 trees in a row, how many
trees did they plant?
Can anyone please answer?
IM THE COOL KID 121212
Pecan Theatre Inc. owns and operates movie theaters throughout Florida and Georgia. Pecan Theatre has declared the following annual
dividends over a six-year period: Year 1, $16,000; Year 2, $32,000; Year 3, $116,000; Year 4, $126,000; Year 5, $138,000; and Year 6,
$152,000.
During the entire period ended December 31 of each year, the outstanding stock of the company was composed of 20,000 shares of cumulative
preferred 2% stock, $100 par, and 100,000 shares of common stock, $15 par.
Required:
1. Determine the total dividends and the per-share dividends declared on each class of stock for each of the six years. There were no dividends
in arrears at the beginning of Year 1. Summarize the data in tabular form.
Note: If required, round your answers to two decimal places. If the amount is zero, enter "0".
Preferred Dividends
Common Dividends
Total
Dividends
Year
Total
Per Share
Total
Per Share
Year 1
$ 16,000
16,000
0.80
0
0
Year 2
32,000
32,000
1.60
0
0
Year 3
116,000
Year 4
126,000
Year 5
138,000
Year 6
152,000
Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.
Answer:
7+3n=28 and the answer would be n=7
Step-by-step explanation:
7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.
Need help ASAP!!! Please comment if you know the answer I Really need help
What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
-3/4x + 5 = -4 What is the value of x?
Answer:
12
Step-by-step explanation:
answer these BOTH. PLEASE! if u answer both correctly i'll give u brainliest and extra points please please please.
Answer:
9. x = 12
10. x = 31
Step-by-step explanation:
9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.
7x - 20 = 4x + 16
Solve
3x - 20 = 16
3x = 36
x = 12
Therefore x is equal to 12
Check:
4(12) + 16
= 64
7(12) - 20
= 64
10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:
x + 2x + 25 + 2x = 180
Combine like terms
5x + 25 = 180
Solve
5x = 155
x = 31
Therefore, x = 31.
Check:
31 + 2(31) + 25 + 2(31) = 180
31 + 62 + 25 + 62 = 180
180 = 180
I hope this helps!!
- Kay :)
Converse statement. If this month is February then the next month is march
Answer:
If the month is march then the next month is February
Step-by-step explanation:
Divide the fractions.
9/2 divided by 4/10
Answer:
11 1/4
Step-by-step explanation:
9/2/4/10
9/2/2/5
9/2*5/2
45/4
11 1/4
Final Answer:
45/4
Step-by-step explanation:
9/2 ÷ 4/10
9/2 ÷ 10/49/2 × 10/4 = 90/890/8 ⇒ 45/4
A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4
Given:
The table of score and frequency.
To find:
The probability that on the next roll the score will be 4.
Solution:
From the given table it is clear that the score 4 occurs 10 times.
Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30
= 120
The probability that on the next roll the score will be 4 is
[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]
[tex]\text{Required probability}=\dfrac{10}{120}[/tex]
[tex]\text{Required probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
X+1 , 2x+3 and X+7 are the second, third and fourth terms of an arithmetic series. Find the value of X and hence calculate the common difference.
Answer:
x = 1,
Common Difference = -3
Step-by-step explanation:
Each number in series has the same difference, hence
(x + 1) - (2x+3) = (2x + 3) - (x + 7) Solve to find => x = 1Plug in value of x into (x+1) - (2x+3)Which solves for -3
Answer:
x=1
c.d.=3
Step-by-step explanation:
2(2x+3)=x+1+x+7
4x+6=2x+8
4x-2x=8-6
2x=2
x=1
so terms are 2,5,8
c.d.=5-2=3
Which is not proportional to 3/7?
6/14
12/28
0.3/0.7
9/28
Answer:
9/28
Step-by-step explanation:
3*3 = 9
7*3 = 21 not 28
hence, this fraction isn't proportional
Simplify: -6x - x please
Answer:
-7x
Step-by-step explanation:
-6x - x =
-7x
Solve for x in the triangle
Any value raised to the power of 0 is equal to
Answer:
The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
The rule is any number raised to the power of 0 is equal to 1
ex. if 200 is raised to the power of 0, it will be 1
PLEASE HELP I WILL GIVE YOU BRAINLIST I NEED HELP PLEASE
Answer:
One Solution
Step-by-step explanation:
Do distributive property
3k+6+3+7k=2k+4+3k
Combine like terms
10k+9=5k+4
Subtract 5k from 10k
5k+9=4
Subtract 9 from 4
5k=-5
Divide
k=-1
Hope this helped, Have a Wonderful Day!!
True or False
The farther the 2-statistic is from 0, the more the null hypothesis is discredited.
Answer:
it is true
Step-by-step explanation:
A test statistic compares our observed outcome to the alternative hypothesis. If the null hypothesis is true, then the teststatistic will be close to 0. Therefore, the farther the test statistic is from 0, the more the null hypothesis is discredited.
the quotient of two numbers is 4 and their difference is 39. What is the smaller number of the two?
Answer:
13
Step-by-step explanation:
x/y = 4
x=4y
x - y = 39
4y - y = 39
3y = 39
y= 13
Simplify the expression: 3(5x - 2) + 3x
Answer:
Original: 3(5x - 2) + 3x
15x - 6 +3x
Answer: 18x - 6
Answer:
18x-6
Step-by-step explanation:
3(5x-2)+3x
Distribute 3 into the parathesis: 15x-6+3x
Combine like terms: 18x-6
Your final answer is 18x-6