Step-by-step explanation:
f(0)=8
Coordinate: (0,8)
y intercept,c: 8
f(4)=20
Coordinate: (4,20)
gradient, m
= (20-8)/(4-0)
=3
Y=mx+c
f(x)=3x+8
f(x)=3x+8 is the linear function f with the values f(0) = 8 and f(4) = 20.
What is Linear Function?A linear function is a function that represents a straight line on the coordinate plane.
The given functions are f(0)=8 and f(4) =20
For f(0)=8
Coordinate: (0,8)
y intercept, c: 8
For f(4)=20
Coordinate: (4,20)
gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20
=( y₂-y₁)/(x₂-x₁)
= (20-8)/(4-0)=12/4
=3
The linear equation is in the form, y=mx+c
So f(x)=3x+8, where 3 is the slope and 8 is y intercept.
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pals helpppp
If ∠A and ∠B are supplementary angles, m∠A = (11x 26−) , a°nd m∠B = (− 4x+ 87)° then what is the value of x?
x = __________
Answer:
x =17
Step-by-step explanation:
(11x -26) + (− 4x+ 87) =180
7x + 61 =180
7x = 119
x =17
Anil Kumar took a loan of Rs. 20,000 from bank at the rate of 8% per annum. At the end of 2 years, how much compound amount should he pay if the interest was compounding half-yearly?
Anil Kumar should pay a compound amount of Rs. 23,397.12 at the end of 2 years.
Compound interest is a method of calculating interest where the interest earned is added to the principal amount, and the resulting sum becomes the new principal for the next period's interest calculation. This process is repeated until the end of the investment period.
The formula to calculate the compound interest is:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
Where,
A = Amount after the given time
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of times the interest is compounded per year
t = Time duration for which the interest is calculated (in years)
In this case, Anil Kumar took a loan of Rs. 20,000 from a bank at the rate of 8% per annum, compounded half-yearly, for 2 years. Therefore, we can plug in the values as follows:
P = Rs. 20,000
r = 8% per annum = 0.08 (as a decimal)
n = 2 (since the interest is compounded half-yearly)
t = 2 years
Now, we can calculate the compound amount using the above formula:
[tex]A = P(1 + r/n)^(^n^t^)[/tex]
[tex]A = 20,000(1 + 0.08/2)^(^4^)[/tex]
[tex]A = 20,000(1 + 0.04)^4[/tex]
[tex]A = 20,000(1.04)^4[/tex]
[tex]A = 23397.1712[/tex]
Therefore, Anil Kumar should pay a compound amount of Rs. 23,397.123 at the end of 2 years.
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What is 73.613 rounded to the nearest whole number?
73
74
76
79
Please Help! Ratio question!
Answer:
10
Step-by-step explanation:
divide 1800 by 20 and 1800 by 18 and find the difference
Tracy packages snack mix at a grocery store. She uses 1/5 of her supply of peanuts to make a trail mix and 3/5
of her supply to make a snack mix. If Tracy uses 16 pounds of peanuts, how many pounds of peanuts are in her
supply?
Answer:
she'll use in total 1/5 + 3/5 = 4/5 from her 16 pounds of peanuts so 4/5 * 16 = 12.8
Not entirely sure about my answer
find value for x please and thank you
Answer:
x = - 3
Step-by-step explanation:
Given
3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6 ( subtract 5x from both sides )
- 2x - 12 = - 6 ( add 12 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
What is the answer to 500(59+38)/250?
can someone help pls
Answer:
5√7
Step-by-step explanation:
√7 + 6√7 - 2√7 = 5√7
If a triangle has sides of lengths 14 cm and 5 cm, what must the 3rd side 5 points
be smaller than? *
12
19
10
5
PLEASE HELP ME I REALLY NEED IT
Answer: 120.
Step-by-step explanation: the angles of a triangle add up to 180 degrees. angles c and d are given and their values add up to 120 degrees. so E must be 180-120, which equals 60 degrees. We also know that a straight line is 180 degrees and since one side is 60 degrees, the other one must add up with 60 to give 180, which is 120.
What’s the value of k ?
Hello!
[tex]\large\boxed{k = 10^{o}}[/tex]
When given two interior angles and an exterior angle, the sum of the two interior angles is equal to the sum of the exterior angle. Therefore:
m∠YZX + m∠ZXY ≅ m∠MYZ
(4k + 5)° + (6k + 10)° = 115°
Combine like terms:
10k + 15 = 115°
Subtract 15 from both sides:
10k = 100°
Divide both sides by 10:
k = 10°
Answer:
k=10
Step-by-step explanation:
First you would find the missing angle at the top this would be 65 degrees, this means that the 2 other missing angles must total to 115 degrees.
Second you would set the equations equal to 115
4k+5+6k+10=115
Then you would combine the like terms
10k+15=115
next you would subtract the 15 from both sides
10k=100
then you divide by 10
k=10
Which equation represents a linear function
Answer:y=-3x+10
Step-by-step explanation:
Ed Gregory is surveying technician earning $12. 97 per hour he worked 39 hours last week what was his pay for the week
Answer:
$505.83
Step-by-step explanation:
12.97 × 39 = 505.83
CAN SOMEONE ASAP HELP ME PLEASE
Answer:
Step-by-step explanation:
6+11=17/2*8=136/2
68.
Help will give brainiest and 20 points, please answer thoroughly and explain ur steps. If you don’t answer properly I will report. The data is shown above, here is the question:
What types of graph could be used to display the data? Explain
Six times a number is at least four less than eight times the number. If x represents the number, which will help find
the number?
Answer:
The inequation 6x ≥ 8x - 4 can be used to find the solution.
The solution is x ≤ 2
Step-by-step explanation:
In math, 'at least' represents greater or equal than (which is the inequation simbol ≥)
If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4
6x ≥ 8x - 4
Solving the inequation;
Substracting 6x each side:
0 ≥ 8x - 6x -4
Suming 4 each side
4 ≥ 2x
Dividing by 2 each side
2 ≥ x
2 greater or equal than x is the same as:
x ≤ 2
1) Find the missing side length.
х
12 in.
18 in.
Answer:
x = 6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 18²
x² + 144 = 324 ( subtract 144 from both sides )
x² = 180 ( take the square root of both sides )
x = [tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex] ← exact value
You have $50 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b = 60 + (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $215 in your bank account?
6 weeks from now, you will have $215 in your bank account
How many weeks from now will you have $215 in your bank account?The given parameters are:
b = 60 + (20+6)w
When the account balance is $215, we have
60 + (20+6)w = 215
Subtract 60 from both sides
(20+6)w = 155
This gives
26w = 155
Divide both sides by 26
w = 5.96
Approximate
w = 6
Hence, 6 weeks from now, you will have $215 in your bank account
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Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7). Jimmy's house is located halfway between Alex's house and Kara's house. Which ordered pair represents Kara's house?
A (1, 12.5)
B. (24,-4)
C. (-25,-4)
D. (2,25)
Graph a right triangle with the two points forming the hypotenuse.
Using the sides, find the distance between the two points in simplest
radical form. (8,7) and (6,3)
the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.
We need to find the distance between two points which is the hypotenuse of the triangle:
(8, 7) and (6, 3)
It can be calculated using distance formula:
D = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values in the formula, we get that:
D = √ (6 - 8)² + (3 - 7)²
D = √ ( - 2 )² + ( - 4 )²
D = √ 4 + 16
D = √ 20
D = 2 √ 5 units
Therefore, we get that, the distance between the points (8, 7) and (6, 3) which is the hypotenuse of the triangle is 2 √ 5 units.
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what is the rate of chnage
In a recent survey, 65 % of those responding were in favor of recycling. If 780 people were in favor of recycling, then how many responded to the survey?
people who responded to survey are 120
It will take you 10 hours to paint your garage and it will take your brother 15 hours to paint your
garage. How long will it take to paint the garage if the two of you paint together?
they take 6 hours to paint the garage if the two of you paint together.
It will take you 10 hours to paint your garage
it will take your brother 15 hours to paint your garage.
How long will it take to paint the garage if the two of you paint together
Total work = LCM of 10 and 15 = 30 units
now , it will take 10 hours to paint the garage
therefore it one hour efficiency = 30/10 =3 units
similarly your brother take 15 hours to apint the garage
therefore brother one hour efficiency = 30/15 = 2 units
so total one hour efficiency is 5 units
and total work is 30 units and their one hour efficiency is 5 units
therefore they complete the work in 30 /5 = 6 hour
Hence they take 6 hours to paint the garage if the two of you paint together.
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Help me find the X! UwU..
Well all the angles in a triangle add up too 180º and this triangle is obviously a equilateral triangle (all sides are same) BUT as you see the other people saying X = 60º notice that it says 2 xº meaning that it is X x 2 so 60º is actually wrong :).
If it is X is 60º (since the 3 angles add together since it’s equilateral) then that would be 2 x 60º = 120º times 3 WHICH IS NOT 180.I think U get what I mean now,it’s 2 Xº; so X is 30 because 30 x 2 = 60º and 60 x 3 = 180º!
So Da Answer is X = 30º
Hope this helped :)
Have a great day!
2. Tommy needs a loan in order to buy an RV. The bank offers
Tommy a 10,500 loan for 66 months loan at 4 5/8% annual
compound interest. Determine the amount of interest and total
Tommy will have to pay back.
Answer:
Step-by-step explanation:
I need help with this math
Answer:
2/4 x 7/10 = 14/40, or 7/20.
5/6 x 3/4 = 15/24, or 5/8
3/4 x 2/3 = 6/12, or 1/2
3/10 x 4/5 = 12/50, or 6/25
i think you can finish the rest, all you have to do is multiply the numerator and the numerator, and the denominator and the denominator.
numerator = number on the top
denominator = number on the bottom
then put the two results:
[numerator x numerator]
____________________
[denominator x denominator]
hope this helped! ^^
Answer:
u can do this u got this
Step-by-step
ISSS THISSSSS CORRECTTT??????please help
Answer:
I think that is correct, sorry is i get it wrong
if the rise is 16 and the run is 8, what is the slope
Answer:
2
Step-by-step explanation:
The formula for slope is rise/run, thereforre 16 divided by 8 is 2, which is the slope.
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#brainliestplease
Answer:
The slope is going to be 2 you just divide.
Step-by-step explanation:
-10.2m + -9.1 + -9.1m - 5.8m
Answer:
= −25.1m − 9.1
Step-by-step explanation:
Answer:
-25.1m - 9.1
Step-by-step explanation:
A is 60 miles from B. An automobile at A moves toward B at the rate of 20
miles an hour at the same time that an automobile at B moves toward A at
the rate of 25 miles an hour. How long will it be before the automobiles
meet (in hours)? *
Answer: 1.33 hr
Step-by-step explanation: 20t + 25t=60
45/45 = 60/45
t= 1.33hr