What is the slope of a line that passes through (2, 4) and (3, 8)
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Learn more about sequence:
https://brainly.com/question/6561461
Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r
Answer: The value of R is 6.
Explanation: I recommend you go to these two links for an easier understanding:
https://www.wikihow.com/Find-the-Y-Intercept
https://www.wikihow.com/Find-the-X-Intercept
twice the sum of the number and 10 is 60 what is the number?
Let the number be n
[tex]\\ \sf\longmapsto 2(n+10)=60[/tex]
[tex]\\ \sf\longmapsto n+10=60/2[/tex]
[tex]\\ \sf\longmapsto n+10=30[/tex]
[tex]\\ \sf\longmapsto n=30-10[/tex]
[tex]\\ \sf\longmapsto n=20[/tex]
John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20
Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?
Answer:
25 questions total
Step-by-step explanation:
I hope this helps!
I do not understand
[tex]\huge \sf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{5 {}^{6} }{5 {}^{1} } [/tex][tex] \sf 5 {}^{6 - 1} [/tex][tex] \sf {5}^{5} [/tex]PLEASE HELP
Jed has 352 stickers in his sticker collection. He wants
to put them in an album. The album holds 8 stickers per
page. How many pages will Jed need? *Show your work
for full credit using any method to solve the problem.
Sixteen is 64% of what number?
A. 12
B. 48
C. 32
D. 25
Answer:
D. 25
Step-by-step explanation:
16 divided by 64% is 25
Answer:
25
Step-by-step explanation:
Hope I helped you.
6t – 6t
Please answer this :)
That would probably be zero for the answer, because if a number or an equation subtracts the same number or equation it will cancel itself out. Thus giving us zero.
Hope this help :D.
Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?
Answer:
8 laps
Step-by-step explanation:
every 8mins 4 laps are run
Maria completed a total of 8 laps in 16 minutes.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.
Assume that she completes [x] laps in 16 minutes.
x = L[walking] + L[Running]
x = (2 + 2) + (2 + 2)
x = 8
Therefore, Maria completed a total of 8 laps in 16 minutes.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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Factor f(x) = 22 - 5x + 6 using any method.
-
please helppp
Answer:
[tex](x-2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-5x+6[/tex]
[tex]x^2-3x-2x+6[/tex]
[tex]x(x-3)-2(x-3)[/tex]
[tex](x-2)(x-3)[/tex]
Can someone one help me with this question Real quick
Answer:
5
7
..................
Answer:
y equals -2x -7
y equals 3/4 x plus 2 1/2
A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:185 guests
Step-by-step explanation: it can only hold 185 guests no more.
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
Please Mark as brainliest
A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?
Answer:
1 3/4
Step-by-step explanation:
6x-36+120=180
what is the value of x, in degrees?
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:y =3 x=1 hope this helps :)
Step-by-step explanation:
how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length
Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.
Step-by-step explanation:
x = eggs of Ayyub
y = eggs of Bran
z = eggs of Curtis
x + y + z = 48
y = x + 1
z = 1.5y = 1.5(x + 1)
now we are using the second and third equation in the first :
x + (x + 1) + 1.5(x + 1) = 48
x + x + 1 + 1.5x + 1.5 = 48
3.5x + 2.5 = 48
3.5x = 45.5
x = 45.5/3.5 = 13
y = x + 1 = 13 + 1 = 14
z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21
for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.
48/3 = 16
so, everybody should end up with 16 eggs.
therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).
I need help with the multiple choice
Answer:
d
Step-by-step explanation:
they intersect but aren't perpendicular.
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
Mrs. Martin bought a flat screen that originally costs $220.00. If her coupon was for 30% off.
Answer:
66$
Step-by-step explanation:
[tex]300 \times \frac{30}{100} = 66[/tex]
The Andromeda galaxy is 2.54 million (2.54x106) light years from earth. If light can travel 5.865 trillion (5.865x1012) miles in a
year then how many miles is the Andromeda galaxy from earth?
O 1.48971x1019
O 2.309055x106
3.325x106
O 8.405x1018
Answer: 1.48971 x 10^19
Step-by-step explanation: 1-light year is approximately 5.865 x 10^12 which is 5,865,000,000,000 kilometers or 6 trillion miles in 1-year. The Andromeda galaxy is indeed 2.54 million light-years from Earth which is the closest galaxy to our Milky Way Galaxy.
The best way to this is to put this into a scientific calculator. If it shows 1.48971E19, the E stands for exponent and the 19 next to the E stands to the 19th power. That is written as 1,489,710,000,000,000,000 miles!! from Earth. That's a lot of zeros. That's the reason scientific notation is used; to avoid all those zeros and express very small/large figures.
Hope this explanation helps.
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?
Answer: x = 3 and y = 5
Step-by-step explanation:
Please graph as this coordinate plane is. Thank you
Answer:
hope this helps :)
Evaluate the expression below at x = 6.
i linked the numbers in a image
A.
606
B.
396
C.
468
D.
1,692
Answer:
B
Step-by-step explanation:
you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468
help me please!!!!
please be quick!!
Answer:
40m^2 e
Step-by-step explanation: