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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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
PLEASE HELP :) 20 POINTS FOR IT IF U JUST ANSWER LIKE IDK OR SUM IMMA REPORT
Answer:
BC = [tex] 1.8 [/tex]
Step-by-step explanation:
∆ABC is an equilateral ∆ because all three angles are equal. Therefore, all its sides would be equal also. This means AB = BC = AC
Thus, let's find the value of x.
[tex] \frac{7}{4}x - 1 = \frac{9}{3}x - 3 [/tex]
Collect like terms
[tex] \frac{7}{4}x - \frac{9}{3}x = 1 - 3 [/tex]
[tex] \frac{7x}{4} - 3x = -2 [/tex]
[tex] \frac{7x - 12x}{4} = -2 [/tex]
[tex] \frac{-5x}{4} = -2 [/tex]
Multiply both sides by 4
[tex] \frac{-5x}{4}*4 = -2*4 [/tex]
[tex] -5x = -8 [/tex]
Divide both sides by -5
[tex] x = \frac{8}{5} [/tex]
AB = BC = AC
Therefore,
BC = [tex] \frac{7}{4}x - 1 [/tex]
Plug in the value of x
BC = [tex] \frac{7}{4}*\frac{8}{5} - 1 [/tex]
BC = [tex] \frac{56}{20} - 1 [/tex]
BC = [tex] 2.8 - 1 [/tex]
BC = [tex] 1.8 [/tex]
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?
A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules
Answer:
C. 303,000 Joules
Step-by-step explanation:
1. use abcos(theta)
a=50
b=7000
theta=30 degrees
2. (50)(7000)cos(30)=303,000
Answer:
C: 303,000 Joules
Step-by-step explanation:
Edge 2020
Luke made 25% of his free throws over the season if he shot 200 free throws how many did he make?
Based on the number of throws Luke had and the percentage he made, the number he made was 50 throws.
Number of Free Throws MadeThere were 200 free throws in the season and Luke was able to make about 25% of them.
The formula to find this is therefore:
= Number of free throws x Percentage made
Solving gives:
= 200 x 25%
= 50 throws
In conclusion, Luke made 50 throws.
Find out more about proportions at https://brainly.com/question/6788689.
Mai earns $7 per hour mowing her neighbors' lawns. She also earned
$14 for hauling away bags of recyclables for some neighbors. Priya
babysits her neighbor's children. She earns $8.40 per hour. Priya and
Mai have agreed to go to the movies the weekend after they have
earned the same amount of money for the same number of hours. How
many hours do they have to work before they can go to the movies?
How much will they have earned?
Answer:
10 hours, $84
Step-by-step explanation:
System of equations is:
7x+14=y
8.4x=y
Substitute to get:
7x+14=8.4x
subtract 7x from both sides
14=1.4x
x=10
So they will have to have worked for 10 hours
8.4*10=y
84=y
So they will have earned 84 dollars each
x=10 y=84
1. What value of x makes the equation 3x - 6 = 9 true?
Answer:
5
Step-by-step explanation:
this is basic algebra so it's important to understand this concept now. you need to combine like terms so 3x-6=9 becomes 3x=15 (you add the 6 to add like terms). You then divide the 3 from 3x on both sides to get x=5
The value of x makes the equation 3x - 6 = 9 true is: x = 5.
Here, we have,
given that,
the equation is: 3x - 6 = 9
so have,
3x-6=9
We need to combine like terms
=> 3x = 9 + 6
(we add the 6 to add like terms).
becomes, => 3x=15
we then divide the 3 from on both sides
=> 3x/3 = 15/3
we get
=> x=5
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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.
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].
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
What is measure 1, 2, 3, 4, 5?
Answer:
The triangles formed are iscocleles triangles making their bases the same angle measures. Additionally, RST anf RGT are congruent since they are each equal to 1/2 of RQTS
We also know that the interior angles of any triangle add up to 180°
Therefore,
m<R + m<T + 126 = 180
m<R + m<T = 54
Since m<R and m<T are equal, R and T must be equal to 27
m<R=27
m<t=27
Therefore,
m<1=27
m<2=27
m<3=27
m<4=27
m<5=126
Step-by-step explanation:
What is 7/12 plus 1/4 simplest form
Answer:
i think its 1/3 sorry if im wrong
Which table does not represent a function
Answer:
B.
Step-by-step explanation:
B. table B has 2 y values for one x, and that makes it not a function but a relation / equation.
-3/4x + 5 = -4 What is the value of x?
Answer:
12
Step-by-step explanation:
8
Find the slope of the line that passes through the points (10,8) and (6, 14).
Write your answer as a simplified fraction.
I really need some help with this!
Answer:
The answer correct is B
Answer: B
Step-by-step explanation:I hope this helps :)
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
There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues
Answer:
Monthly charges = $70
Intuition charges = $2710
Step-by-step explanation:
There is intuition fee and per month fee for joining the Pine River country club.
Total cost for 7 months is $3200
Total cost for one and a half years is $3970
one and a half years means 18 months.
To find:
Intuition fee and monthly dues?
Solution:
Let the intuition fee = [tex]i[/tex]
Let the monthly dues = [tex]m[/tex]
Total cost for 7 months can be represented as
[tex]i+7m = 3200[/tex] ..... (1)
Total cost for 18 months can be represented as
[tex]i+18m = 3970 .... (2)[/tex]
Here, we have 2 equations and 2 variables whose values are to be found.
Let us use elimination method to solve the equations.
Subtracting equation (1) from (2):
[tex]11m = 770\\\Rightarrow m = 70[/tex]
Therefore, the monthly dues are $70.
Using equation (1), we can find the value of [tex]i[/tex].
[tex]i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710[/tex]
Therefore, intuition charges are $2710.
find an equation for the line that passes through the points (2,-6) and (-4,-4)
Answer:
-1/3 I think
Step-by-step explanation:
use the slope formula
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
what is the awnser to y=-1
Answer:
Slope: 0
y-intercept: (0,-1)
Step-by-step explanation:
Mrs. Cousins works in a pool store and earns a 9.5% commission on every swimming pool she sells. How much commission would she earn for selling a pool that costs $5,600?
Answer:
$532
Step-by-step explanation:
19/200 * 5600/1
Cross cancellation makes this:
19/1 * 28/1
19 * 28
(19 * 20) + (19 * 8)
380 + 152
$532 in commission
A function, fix), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these
describes why f(x) can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.
a. I only
b. I and III only
c. II and III only
d. I, II, and III
Answer: the answer is C trust me bye
Step-by-step explanation:
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
Need help fastttt anybody
Answer:
ok look, you gonna learn somethin ight
Step-by-step explanation:
If you want answer you usually wanna put at least 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happened to me to i did a 5 points thing and no-one answered then, I did 50 and I got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but I'm just saying you can report if you think is mean which I already know is rude to most people and idc really. wasnt copied from e
find the zeros of the function: to the nearest hundredth
Answer:
The zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]
To find zeros, put f(x)=0
[tex]0=2x^2-17.5x+35.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]
[tex]0=20x^2-175x+356[/tex]
switch sides
[tex]20x^2-175x+356=0[/tex]
subtract 356 from both sides
[tex]20x^2-175x+356-356=0-356[/tex]
[tex]20x^2-175x=-356[/tex]
divide both sides by 20
[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]
[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]
[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]
applying perfect square
[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]
[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=5.53[/tex]
also solving
[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]
[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=3.22[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Therefore, the zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
PLEASE answer i’m begging you
Answer:
C.
Step-by-step explanation:
The amount of money she has at the beginning of the week.
Need this ASAP thanks
Answer:
the answer is A substitution
4x + 6 = 42
Whats the answer to this