Answer:
The answer would be y= -2x + 5
Step-by-step explanation:
If you look at your table you can see a pattern in the Y collum. It's being subtracted by two each time.
A line is a one-dimensional shape that is straight. The equation of the line is y=-2x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line can be written as,
m = (3-1)/(1-2) = -2
Now, substituting the value of any point in the equation of the line, we will get,
y=-2x+c
1=-2(2)+
1=-4+c
c=5
Hence, the equation of the line is y=-2x+5.
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The points (-1, r) and (5, -5) lie on a line with slope - 3. Find the missing coordinate r.
a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the city's population is increasing 15 percent every year and there are currently 57,000 people what will the population be in 12 years?
Answer:
203,549 !!!
Step-by-step explanation:
Write an inequality. Then solve.
9. Two less than a number is less than 9.
Answer:
n-2<9
Step-by-step explanation:
9+2=11. n<11
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems
Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:cause yussss
A sequence of numbers can be thought of as a function, where fin) represents the n term of the sequence. Which of the following could be the domain of this function?
positive real numbers
O positive integers
Inational numbers
Orational numbers
Answer:
Rational numbers
Step-by-step explanation I put D on a test and I got it right
divide (27x^3+ 12x) by 3x^2 (due tomorrow)
Answer:
9x+4/x
Step-by-step explanation:
hope this helps!
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
6.Angle 30degrees + x is equal to 180 degrees. Find x
-80
-70
Help meh to answer. I
Match the following items.
1. the positive integers alternating sequence
2. an ordering of quantities separated by commas natural numbers
3. the sum of the terms of an associated sequence general term of a sequence
4. one of the individual quantities of a sequence term of a sequence
5. a formula that yields the value of a term when that term is substituted in it arithmetic series
6. a series that has a common difference between terms series
7. a series that has a common ratio between terms sequence
8. a sequence in which each successive terms changes sign geometric series
Answer:
1. The Positive Integers - Natural Numbers
2. An Ordering of Quantities Separated by Commas - Sequence
3. The Sum of The Terms of an Associated Sequence - Series
4. One of The Individual Quantities of a Sequence - Term of a Sequence
5. A Formula That Yields The Value of a Term When That Term is Substituted In It - General Term of a Sequence
6. A Series That Has a Common Difference Between Terms - Arithmetic Series
7. A Series That Has a Common Ratio Between Terms Sequence - Geometric Series
8. A Sequence in Which Each Successive Terms Changes Sign - Alternating Sequence
Series are sum of terms of sequences. The names of each of the items specified are specified below.
What is series and sequence?Sequence is an ordering of numerical or mathematical quantities separated by commas, and series is sum of terms of sequences if addition is defined for those terms.
For the considered definitions, their names are given as:
1. the positive integers : It is called Natural Numbers. Example: 4 is a natural number.
2. an ordering of quantities separated by commas: Sequence
Example: 2,4,6...
3. the sum of the terms of an associated sequence: Series
Example: 2 + 4 + 6 + ...
4. one of the individual quantities of a sequence term of a sequence: Term
5. a formula that yields the value of a term when that term is substituted in it: general term of a sequence
6. a series that has a common difference between terms: Arithmetic series
7. a series that has a common ratio between terms: Geometric series
8. a sequence in which each successive terms changes sign: Alternating sequence
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which equation is represented by this graph?
A. y = 2/3x - 2
B. y = 2/3x + 3
C. y = 3/2x - 2
D. y = 3/2x + 3
3/2x-2
C. it should be this one
9514 1404 393
Answer:
A. y = 2/3x - 2
Step-by-step explanation:
The line intersects the y-axis at -2, so eliminates choices B and D, which have y-intercepts of +3.
The line has a rise of 2 grid squares for a run of 3 grid squares, so has a slope of ...
m = rise/run = 2/3 . . . . . eliminates choice C
The appropriate choice is the one with a slope of 2/3 and a y-intercept of -2:
A. y = 2/3x - 2
The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11.20 for decorative ribbon they made a profit of 98¢on each of the 40 jars sold. How much did they charge for each jar
Answer:
[tex]\$1.75[/tex]
Step-by-step explanation:
Total amount paid for the nuts is $19.60
Total amount paid for the ribbons is $11.20
Profit made on each jar is 98¢= $0.98
Cost price of the nuts and ribbon for the 40 jars is [tex]19.6+11.2=\$30.8[/tex]
Cost price for nuts and ribbonn for one jar = [tex]\dfrac{30.8}{40}=\$0.77[/tex]
Selling price is the sum of the cost price and profit.
Selling price for one jar = [tex]0.77+0.98=\$1.75[/tex]
They charged [tex]\$1.75[/tex] for each jar.
5(x+3)-5
simplify this.
Answer:
5x+10
Step-by-step explanation:
Distribute:
=(5)(x)+(5)(3)+−5
=5x+15+−5
Combine Like Terms:
=5x+15+−5
=(5x)+(15+−5)
=5x+10
HELP ASAP PLZ i don’t understand this answer
Answer:
should be 140 I guess
Step-by-step explanation:
solve for x !!!!!!!!
=====================================================
Work Shown:
I'm assuming the diagram shows that interior angles F and G are 24 and 12+5x respectively.
We can use the remote interior angle theorem to get:
(interior angle F)+(interior angle G) = exterior angle FEH
(24) + (12+5x) = 8x
5x+36 = 8x
36 = 8x-5x
36 = 3x
3x = 36
x = 36/3
x = 12
Simplify: (4x2 + 21xy – 7y2) + (10x2 + 11y2 – 20).
HELP PLEASEEE
For g(x) = 8x2 – 2x + 5, find g(3).
A.O
83
B. O 71
С.
437
D.
78
Answer:
15
Step-by-step explanation:
16 - 2x3 +5
16 - 6 +5
16 - 1
15
17 feet’s to 7 yards
Answer:
ok
Step-by-step explanation:
a plumber charges a flat fee of $79 to visit a home and examine a clogged drain the plumber charges an additional $24 per hour spent fixing the drain. the total cost C in dollars for fixing to dream that takes H hours is given by the following :
C=24h + 79
question 1 ? what is the total cost for fixing a drain that takes 5 hours ?
question 2? if the plumber charged a total of $343 how many hours did he spend fixing to drain ?
Can someone help me answer this
Answer:
x = 9
Step-by-step explanation:
56 + 3x + 7 = 90° because these angles are complementary
3x + 63 = 90 subtract 63 from both sides
3x = 27 divide both sides by 3
x = 9
Factor the following expression: x^2+3x
A matchbox holds 48 matches.how many matches are needed to hold 1104 matches?
Answer:
23 matchboxes
Step-by-step explanation:
I think you mean "how many boxes are needed to hold 1104 matches?"
This is a division problem.
1104/48 = 23
Answer: 23 matchboxes
a movie starts at 3:30 pm. if the movie is 2 hrs and 10 mins long, what time will it be over ?
What is the difference between 10 x 4 + 5 and 10 x (4 + 5).
Answer:
The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D
Step-by-step explanation:
I hope this helps!!!!
Answer:
[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]
[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]
[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]
[tex]See\ the\ difference!![/tex]
Suppose you have 7 dimes and 6 nickels in your pocket. How many ways can you reach
into your pocket and select one of each type?
an equation for a line with a slope of zero.
Answer:
M=0
Step-by-step explanation:
Youre welcome
Answer:
y=3
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Answer:
third option
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = - 13 - (- 10) = - 16 - (- 13) = - 3
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 10 and d = - 3, then
[tex]a_{n}[/tex] = - 10 - 3(n - 1) = - 10 - 3n + 3 = - 7 - 3n
Thus the sum of the first 6 terms is represented by
∑ - 7 - 3n ( for n = 1 to 6 )
For DE=29,find the length of segment BC
4
Erin says. "There are 30 boys in my sports club (to the nearest 10) and 20 girls (to the
nearest 10), so there must be 50 pupils to the nearest 10"
Is she right or wrong?
You must show working to explain your answer.
What is f(3) if f(x) = 2x + 1?
Answer:
f(3) = 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 1 = 6 + 1 = 7
For ax+by/c=d, solve for x
Answer:
x = (cd-by)/a
Step-by-step explanation:
Here, we want to make x the subject of the formula;
That will be as follows;
ax + by = cd
ax = cd-by
x = (cd-by)/a