What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?
Answers
Answer:
y=5x+6
Step-by-step explanation:
The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 16).
And, The parallel line is,
⇒ y = 5x + 8
Now,
Since, The equation of line passes through the point (2, 16).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 5x + 8
m = dy/dx = 5
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - 16 = 5 (x - 2)
⇒ y - 16 = 5x - 10
⇒ y = 5x - 10 + 16
⇒ y = 5x + 6
Therefore, The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
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Related Questions
Convert y = x2 - 4x + 1 to vertex form by completing the square.
O y= (- 1)2 + 4
O y= (1 - 2)2 +5
O y= (x - 2)2 – 3
O y = (x - 4) + 1
Answers
Answer:
vertex: (-2, -3)
Step-by-step explanation:
y = x2 + 4x + 1
y = x2 + 4x + 22 + 1 - 22
y = (x + 2)2 + 1 - 4
y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.
Answer:
y = (x - 2)² - 3
Step-by-step explanation:
Given
y = x² - 4x + 1
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
y = x² + 2(- 2)x + 4 - 4 + 1
= (x - 2)² - 3
Please help Asap!
Directions: Write a recursive rule and an explicit rule for each arithmetic sequence.
86, 101, 116, 131, 146,...
112, 110, 108, 106, 104,...
Answers
Answer:
Step-by-step explanation:
86,101,116,131,146,...
a=86
c.d d=101-86=15
explicit formula
[tex]a_{n}=a+(n-1)d\\a_{n}=86+(n-1)15=86+15n-15=71+15n,n \in I,n>0\\[/tex]
recursive formula
[tex]a_{n}=a_{n-1}+15,a_{1}=86,n \in I,n \geq 2[/tex]
2.
112,110,108,106,104,...
a=112
c.d d=110-112=-2
explicit formula
[tex]a_{n}=112+(n-1)(-2) =112-2n+2=114-2n,n \in I,n>0[/tex]
recursive formula
[tex]a_{n}=a_{n-1}-2,a_{1}=112,n \in I,n \geq 2[/tex]
)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month
Answers
Answer:
Stefan should rent a phone accessory store
Step-by-step explanation:
The given information are;
The total of the estimated income and expenses are given as follows;
Sales
Type [tex]{}[/tex] Amount [tex]{}[/tex] Frequency
Sales [tex]{}[/tex] $ 950 [tex]{}[/tex] Each week
Services [tex]{}[/tex] $2,875 [tex]{}[/tex] Each month
Rent [tex]{}[/tex] -$4,500 [tex]{}[/tex] Each month
Travel [tex]{}[/tex] -$7.50 [tex]{}[/tex] Each day
Merchandise [tex]{}[/tex] -$1,650 [tex]{}[/tex] Each month
Therefore;
Total sale = 4×950 = $3,800
Total services = $2,875
Total income = $3,800 + $2,875 = $6,675
Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375
Total profit = Total income - Total expenses = $6,675 - $6,375 = $300
Therefore, the net profit = $300.
Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.
Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.
Answers
Answer:
Simon started High school in the year 2012.
One usually starts highs school when is 14 years old.
So we can assume that Simon was born 14 years before 2012:
2012 - 14 = 1998
Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.
Then Simon's parents should have met before 1998.
Then the inequality that we have:
x < 1998.
And Simon was born when his father was 25 years old.
Then in 1998, Simon's father was 25 years old.
Meaning that he was born around:
1998 - 25 = 1973.
This means that Simon's parents met in-between the years 1973 and 1998.
1973 < x < 1998
what is $3 as a decimal
Answers
Answer:
3.00
Step-by-step explanation:
Answer:
3.00
Step-by-step explanation:
Since three is a whole number, that means it would be in front of the decimal.
What is 78x6 =
please let me know if you have the asers
Answers
Answer:
468
Step-by-step explanation:
and this is how you spell answers
The value of 78 × 6 is 468
What is multiplication?Multiplication is the process of calculating the product of two or more numbers. The result of multiplication is called product.
If a × b = c , this means that a and b are the factors and c is the product.
For example if each student has 5 apples and there are 100 students in the camp, the total number of apples in the camp is
100 × 5 = 500 mangoes.
Similarly, 78 × 6
= 70 × 6 + 8 × 6
= 420 + 48
= 468
Therefore the product of 78 and 6 is 468
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Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?
Answers
Answer
42.66
Step-by-step explanation:
each foot is 5.33 so 5.33 x 8 is 42.66
if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet
Answers
Answer:
300 dollars
Step-by-step explanation:
Multiply 10 feet by 12 feet to get the total number of feet needed
10x12=120 feet
120 times $2.5= $300
The cost to carpet a rectangular floor is $300.
Given that,
The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feetBased on the above information, the calculation is as follows:
[tex]= 10 \times 12 \times \$2.50[/tex]
= $300
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jeana´s calculator display shows the number to the right.
a. express this number in scientific notation.
number to the right is 3.76EE13
Answers
Answer:
3.76EE13 is 3.76 * 10^13
Step-by-step explanation:
Here, we are to express what is written on the calculator in scientific notation.
Mathematically, that would be
3.76 * 10^13
The terms EE13 represent 10^13
HELP PLEASE THIS IS DUE IN FIVE MINUTES
Answers
Answer: 0, 50
Step-by-step explanation: (h=0), 0=2t+100
2t=100
t=50
hopefully this helps
Explanation:
What value of x satisfies 6x - 8 = 22 - (x - 5)?
A. 6
B, 5
C. 4
D. 7
Answers
Answer:
B
Step-by-step explanation:
6(5)-8=22-(5-5)
30-8=22
22=22
A map scale uses 5cm to mean 29 miles.
How many cm on the map represents 87 miles?
Answers
29x = 435
x=15
HURRY!
If Johnson had 1800 apples, and gives 347 to his mon, and hid dad gave him 2876, how many apples does he have.
Answers
Answer:
4329
Step-by-step explanation:
I coan't really explain this sorry.
I hope this helps though!
Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!
2. The sum of the measures of the exterior angles of a triangle equals: 60 180 270 360
Answers
Answer:
360
Step-by-step explanation:
the intirior angles equals 180 so ttthe outside have to equal 360
Pls help ASAP I will give brainlyest
Nile had 20% less strikeouts this year than last year. He had 124 strikeouts last year. Which steps are needed to calculate the number of strikeouts Nile had this year? Check all that apply
(A) Convert 20% to a decimal.
(B) Multiply: 0.2 × 124 = 24.8
(C) Divide: 124 ÷ 20 = 6.2
(D) Subtract: 124 – 24.8 = 99.2
(E) Add: 124 + 24.8 = 148.8
(F) Subtract: 124 – 6.2 = 117.8
Answers
Answer:
(A) Convert 20% to a decimal.
(B) Multiply: 0.2 × 124 = 24.8
(D) Subtract: 124 – 24.8 = 99.2
Step-by-step explanation:
Given parameters:
Number of strikeouts last year = 124
Percent reduction = 20%
Unknown:
Number of strikeouts this year =?
Solution:
To find the number of strikeout this year,
Convert 20% to a decimal = [tex]\frac{20}{100}[/tex] = 0.2
Now; Multiply: 0.2 × 124 = 24.8
The number of strikeouts this year = 124 - 24.8 = 99.2
The value of (-1728)+ V324 is
Answers
im pretty sure
I need help please.
Answers
Answer:
10. y=the total amount of money
A) y=4m
B) y= 4(5.25)
y= $21
11. y= total amount of money
A) y= 40m + 35
B) y= 40(10) + 35
y= $435
Number 10:
You know five people, you and four friends, are contributing the same amount of money for food. Lets say F = Food and M=Money. Since they are contributing the same amount of money, it would be 5 * m, or 5m. So, F would equal 5m. F=5m.
Part B- You would do the same expression, F=5m, but you would instead plug 5.25 in for m. So, 5.25 times 5 would equal 26.25 dollars.
Number 11:
Part A- Let M equal months. $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.
Part B- Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months. Then you would add the $35 fee, so the answer would be $435.
EASY MATH QUESTION PLEASE I NEED HELP!
Answers
Answer:
x=8/3
Step by step
determine the defined range
remove parentheses
move the terms
collect like terms and calculate
divide both sides
HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest
14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35
21. explain how to compare 0.7 and 5/8
Answers
Answer:
14: 1/5, 0.35, 12/25, 0.5, 4/5
17: -2 4/5,-2.6, -2.3
18: -6.0, -0.72, -5/8, -7/12
19: 1.2, 1 1/3, 1.45, 1 1/2
20: -3.0, -0.35, 0.5, 0.55
Fraction Into Decimal:
14: 1/5=0.2, 12/25=0.48, 4/5=0.8
17: -2 4/5= -2.8
18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)
19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)
Explanation:
To start with, you need to convert the fractions into decimals in order to compare them easier
Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line
Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.
Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!
2xー1+2-2
solve this and show work
Answers
Answer:
2x - 1
Step-by-step explanation:
2x−1+2−2
=2x+−1+2+−2
Combine Like Terms:
=2x+−1+2+−2
=(2x)+(−1+2+−2)
=2x+−1
Answer:
x = 1/2Step-by-step explanation:
We need to add -1 to each side of this to get rid of the -1 in the equation.
2x - 1 + 2 = 2
2x + 1 = 2
We need to subtract 1 from each side.
2x = 1
x = 0.5
Checking:
2(0.5) - 1 + 2 = 2
1 - 1 = 0 + 2 = 2 (Checks out)
ANSWER: x = 1/2"Sonia had band practice 2 _1/3 hours on Saturday and 1_3/4 hours on Monday. How many total
hours did she practice those two days? *
Answers
Answer:
3_5/6 hours
Step-by-step explanation:
2_ 1/3 = 2_ 4/12
1_3/4 = 1_6/12
2_4/12 + 1_6/12 = 3_10/12
3_10/12 = 3_5/6
what percent is equivalent to 1/20
Answers
Answer:
1/20 is 5%
Step-by-step explanation:
1/20 = 5%
20/20 = 100%
100 ÷ 20 = 5%
1/20 x 100 = 0.05 x 100 = 5%
Step-by-step explanation:
[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]
Jose paid 47.00 for 4 movie tickets. Each ticket costs the same amount.what was the cost of each movie ticket in dollars and cents
Answers
Answer:
$11.75
Step-by-step explanation:
In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75
Item 5 In the number 7.7592, how does the value of the 7 in the ones place compare to the value of the 7 in the tenths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 7 in the ones place is Response area the value of the 7 in the tenths place.
Answers
Answer:
100 timesStep-by-step explanation:
Given the decimal number 7.7592
The value of the 7 in the ones place is 7 tens i.e 10
The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1
Comparing both values
We will compare both values by finding their ratios as shown;
ratio = value of the 7 in the ones place/value of the 7 in the tenth place
ratio = 10/0.1
ratio = 100
Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"
Answer
100 timesStep-by-step explanation:Given the decimal number 7.7592
The value of the 7 in the ones place is 7 tens i.e 10
The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1
Comparing both values
We will compare both values by finding their ratios as shown;
ratio = value of the 7 in the ones place/value of the 7 in the tenth place
ratio = 10/0.1
ratio = 100
Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"
The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1.7 + 1.48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction? Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is
[tex]\hat y =1.7 +1.48t[/tex]
Weight of the kitten after 10 weeks
[tex]\hat y =1.7 +1.48\times 10[/tex]
[tex]\hat y =16.5[/tex] pounds
This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.
Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.
Hence, the weight of the kitten after 10 weeks is 16.5 pounds.
I NeEd HeLp
Solve the inequality.
4(x + 3) - 7 2 X+ 3(x + 1)
O x 5
Ox>3
O no solution
O all real numbers
Answers
Answer:
x 5. jjhwgehdhdjdhdhdhejrj
Find x and y. Give reasons to justify your solution.
Answers
Answer:
122
Step-by-step explanation:
PLS HELP ILL MARK BRAINEST DUE IN 20 minsss
Answers
Answer:
ill help
Step-by-step explanation:
Can someone help please?
Answers
Answer:
It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.
Step-by-step explanation:
Please correct me if I am wrong.
Solve for x:
7x-99+ 2x+1
please helpppp
Answers
Answer:
x = 20
Step-by-step explanation:
7x - 99 = 2x + 1 (vertically opposite angles are equal)
Rearrange
5x = 100
x = 20