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6/11
What is the equation of the line that passes through point (4. 12) and has a y-intercept
of - 2?
Answer:
7x - 2y - 4 = 0
Step-by-step explanation:
from the perpendicular equation formula,
y/a + x/b = 1
x1 = 4
y1 = 12
a = -2
b= ?
Inserting the values into the above formula,
12/-2 + 4/b = 1
-6 + 4/b = 1
4/b = 7
b = 4/7
putting a and b into the original formula,
y/-2 + x/(4/7) = 1
-y/2 + 7x/4 = 1 (×4)
-2y + 7x = 4
7x - 2y - 4 = 0
Therefore, the equation of the line is;
7x - 2y - 4 = 0
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings.
A. 43 + 72x ≤ 1,128
B. 43 + 72x ≥ 1,128
C. 43x + 72 ≥ 1,128
D. 43x + 72 ≤ 1,128
Answer:
D. 43x + 72 ≤ 1,128
Step-by-step explanation:
She has $1,128
Total price $72
43x since its unit rate for each
43x + 72 is less than or equal to $1,128
Answer:
D. 43x + 72 ≤ 1,128
Step-by-step explanation:
Good luck! Hope this helped :)
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
Answer:
Isn't it simpler just to take the square root of 1,521?
It's 39
Step-by-step explanation:
0.000487 an Scientific Notation
Answer:
4.87 to the fourth power
Step-by-step explanation:
0.000487 in Scientific Notation:
4.87 * 10^-4
In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).
What is the value of x?
9514 1404 393
Answer:
x = 14
Step-by-step explanation:
The sum of angles in a triangle is 180°:
∠O +∠P +∠Q = 180°
(2x -5)° +(3x -8)° +(10x -17)° = 180°
15x -30 = 180 . . . . . divide by °, collect terms
x -2 = 12 . . . . . . . . . divide by 15
x = 14 . . . . . . . . . . . .add 2
Complete the table for the function y=f(1/3x)
Answer:
Step-by-step explanation:
Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridden 4 rides. They had ridden 6 rides after 3 hours.
Write a function to represent the arithmetic sequence.
f(n)=
Answer:
The function will be: f(n) = 2n
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between consecutive terms is same
The sequence according to given information is:
2,4,6...
Here
a_1 = 2
a_2 = 4
a_3 = 6
the common difference will be:
[tex]d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2[/tex]
The arithmetic sequence is given by:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values
[tex]a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n[/tex]
Hence,
The function will be: f(n) = 2n
When factored completely, which is a factor of 3x3 − 9x2 − 12x?
A.
(x − 3)
B.
(x − 4)
C.
(3x − 1)
D.
(3x − 4)
Answer: I believe it’s D
Step-by-step explanation:
3. You purchase a car using a $20,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work.
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work.
Answer:
Answer:
a) $4000
b) $2000
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 20,000 x 0.05 x 4
interest = 4000
b)
interest = Principal x rate as decimal x time
interest = 20,000 x 0.05 x 2
interest = 2000
you save $2000 if you pay after 2 years
Answer:2,500
Step-by-step explanation:
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1,040 gallons after 9 minutes.
Answer:
Answer: 35 minutes
Step-by-step explanation:
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Answer:
35 minutes
Step-by-step explanation:
There are 40 gallons drained per minute.
20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.
Answer:
give brain list first
Step-by-step explanation:
can someone help me ?
36 + 3w = -36, w = ?
4 – 9g = -23, g = ?
Answer:
1. w=-24
2. g=3
Step-by-step explanation:
How can I get better at math so I don't flunk?
Answer:My suggestion is practice what you learned after each class for like 10-20 min and pay close attention in class. Wish you the best of luck.
Step-by-step explanation:
Any help would be appreciated(brainly for best answer)
Answer:
a. x=100 b. x=30
Step-by-step explanation:
A: <1 and <2 are supplementary by consecutive interior angles theorem
x + x-20 = 180
2x-20=180
2x=200
x=100
B: <1 and <2 are congrunt by corresponding angles postulate
3x-5=x+55
2x=60
x=30
8 students is ?% of 20 students.
Finish the missing percent
Answer:
40%
Step-by-step explanation:
Help! How many points per star does Jayce earn from gold stars?
1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
ques #1: What happens to the mean and standard deviation of the data set when the 7 is changed to a 70?
ques #2: For the data set with the value of 70, why would the median be a better choice for the measure of center than the mean?
Answer:
The mean would get bigger becuase you are adding in a bigger number there for the mean would increase.The standard deviation would change as well because then again you are adding a bigger number and standard diviation is basically the difference between the gratest and least. For #2 no the median wouldn't chnage becuase the 70 is going in place for the 7 so it would just fill it's spot and wouldn't effect the data set.
Step-by-step explanation:
The median would be a better choice for the measure of center becuase the mean is telling you the average and the median is actully telling you where the middle of the data set is.
The mean is the average of a group of data. The data set added up and divided by the number of data. The mean is sensitive to extreme data.
When 7 is changes to a 70 then mean and standard deviation both changes.
For the given data set median be a better choice for the measure of center than the mean because mean is sensitive to extreme data and median is the point at which half the data are above and half the data are below.
The median is the point at which half the data are above and half the data are below. Medians are less sensitive to extreme scores . Therefore, median is center point of data set.
Standard deviation shows how much variation there is from the mean. A low SD indicates that the data points tend to be close to the mean, whereas a high SD indicates that the data are spread out over a large range of values.
Learn more:
https://brainly.com/question/14532771
An exponential relationship is modeled by y = 31(0.81)x , what is the percent rate of change for this function?
Answer:
19%
Step-by-step explanation:
An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?
From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.
Where the formula:
y = a(1 - r)^t
Where a = Initial amount
r = rate of change in percent
t = time in years
y = a(1 - r)^x = y = 31(0.81)^x
1 - r = 0.81
r = 1 - 0.81
r = 0.19
Converting 0.19 × 100
= 19%
2xy +3y²-6y factor the following expression
Answer:
y(2x+3y-6)
Step-by-step explanation:
2xy+ [tex]3y^{2}[/tex]-6y
Find the H.C.F
2xy= 2×x×y
3y²= 3×y×y
6y= 6×y
H.C.F= y
2xy÷y+ 3y²÷y- 6y÷y
= 2x+ 3y- 6
= y( 2x+ 3y-6)
The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will melt in 10 minutes. How long will it take the ice to melt if the temperature is increase to 40 degrees Celsius?
It will take 7 minutes and 30 seconds to melt at a temperature of 40°C.
What is proportion?Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The amount of time it takes an ice cube to melt varies inversely to the air temperature this can be written as,
Time ∝ 1/(Temparature).
Time = K(1/Temp).
At 30 degrees Celsius, the ice will melt in 10 minutes.
10 = K(1/30).
K = 300.
Now, the time required to melt the ice at 40°C is,
Time = 300(1/40).
Time = 7.5 minutes or 7 minutes 30 seconds.
learn more about proportion here :
https://brainly.com/question/7096655
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Which of the equations below represents a line perpendicular to the y-axis?
A.
x = 6
B.
y = -6
C.
y = 6x
D.
y = x
Answer:
B. y = -6
Step-by-step explanation:
As you can see the graph I done is perpendicular
Answer:
B
Step-by-step explanation:
A line perpendicular to the y- axis is a horizontal line parallel to the x- axis, with equation
y = c ( where c is the value of the y- coordinates the line passes through )
The only equation in this form is
y = - 6 → B
plz help!!
ALEKS math
Answer:
31
Step-by-step explanation:
10-3= 7 so 3+7=10 and 10+7=17 and you just do this to find the answer
Zion walked 1.7 miles in 1 hour. If he walks at the same rate, how far will he walk in 1.5 hours? Use partial products to find the answer.
Answer:
1 hour = 1.7 miles / 1.5 hours = ? Miles
1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles
Step-by-step explanation:
1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles
In 1999 there were 4076 J.C. Penney
stores and in 2003 there were 1078 stores. Write a linear
equation that gives the number of stores in terms of the
year. Let i = 9 represent 1999. Then predict the numbers
of stores for the years 2008 and 2010. Are your answers
reasonable? Explain.
Answer:
- 749.5i + 10821.5
−2669.5
−4168.5
Step-by-step explanation:
Given tgat:
Number of stores in 2003 (y2) = 1078
Number of stores in 1999 (y1) = 4076
1999 = i = 9
2003 = 13
y - y1 = m(x - x1)
m = slope = (y2 - y1) / (i2 - i1)
m = (1078 - 4076) / 13 - 9
m = - 2998 / 4
m = - 749.5
y - 4076 = - 749.5(i - i1)
y - 4076 = - 749.5(i - 9)
y - 4076 = - 749.5i + 6745.5
y = - 749.5i + 10821.5
Prediction for 2008 and 2010
2008 ; i = 18
y = - 749.5(18) + 10821.5
y = −2669.5
2010 ; i = 20
y = - 749.5(20) + 10821.5
y = − 4168.5
The ordered pairs is a
solution to the
inequality
8x – 3y > 24
A.2,6
B.0,-8)
C.-4,-6
D. 4,1
E. 8,2
Answer:
D,E
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y=mx+b :)
Step-by-step explanation:
Frank drove from New York City to Los Angeles. The distance between the two cities is 2,760 miles. After 16 hours, he still had to drive 1,400 miles to reach Los Angeles. How far did he drive per hour?
Answer:
fghjgfvgh
yguhyu
Step-by-step explanation:
Answer:
frank traveled 2760-1400 = 1360 miles
traveled 16 hours
This means he drove: 1360 miles / 16 hours = 85 miles per hour.
what's the simplified expression?
Answer:
6x⁴ + 20x³ - 30x² + 4
Step-by-step explanation:
Collect the like terms
6x⁴ + 18x³ + 2x³ - 36x² + 6x² + 12x - 12x + 4
SImplify expression
6x⁴ + 20x³ - 30x² + 4
Answer:
6x⁴- 18x³-4
i think
Step-by-step explanation:
Which one is correct
Answer:
2ft
Step-by-step explanation:
Answer:
2 ft
Step-by-step explanation:
The triangle has a dilation of 1/3 and we can assume that the triangles are congruent
So we take 6 and divide it by 3 and get 2
The answer is 2 ft
PLEASE HELP:( thank youuuu!!
Answer:
A
Sorry I just have to right more to turn it in but good luck with your math work.