1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Firdavs [7]
3 years ago
13

Which formula defines the sequence f(1)=2, f(2)=6, f(3)= 10, f(4)= 14,f(5)=18

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

y=4x-2

Step-by-step explanation:

for every 1 unit increase in x, y values change by a factor of four units

slope=4x

f(x)=y

y=mx+b

2=4(1)+b

b=-2

equation= y=4x-2

CHECK

6=4(2)-2

6=8-2

6=6

CORRECT

10=4(3)-2

10=10

CORRECT

alternatively... (y2-y1)/(x2-x1)

(6-2)/(2-1)= (4)/(1)

slope=4

You might be interested in
Question 3 Determine the leg lengths between the two points: (6, -3) and (-2,4).
Shalnov [3]

Answer:

9

Step-by-step explanation:

→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:

\begin{gathered}a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2\end{gathered}

a

2

+b

2

=c

2

x

2

+(x−3)

2

=(x+3)

2

x^2+x^2-6x+9=x^2+6x+9x

2

+x

2

−6x+9=x

2

+6x+9

→Subtract x^2-6x+9x

2

−6x+9 from both sides:

x^2 = 12xx

2

=12x

→Subtract 12x from both sides:

x^2 -12x=0x

2

−12x=0

→Factor out x:

x(x-12)=0x(x−12)=0

→Separate, set = to 0, and solve:

\begin{gathered}x = 0\\x -12=0\end{gathered}

x=0

x−12=0

→ Add 12 to both sides: x = 12x=12

→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.

→All we need to do is take 12, and plug it into the equation for the shortest leg.

\begin{gathered}x - 3=?\\12-3=9\end{gathered}

x−3=?

12−3=9

3 0
2 years ago
Please don’t ignore I really need some help on this
Andre45 [30]
45.50(original price) * .8 (discount) * 1.05 (tax) =$38.22(final answer)
6 0
2 years ago
Read 2 more answers
Of the 36 students in the environmental club, 15 or boys and 21 are girls. The president of the club wants to add more boys so t
schepotkina [342]
Because 50% of something means half (because 100-50=50), he would have to make the number of girls and boys equal. Since there are 21 girls, he has to make it so there are also 21 boys.
So, if we know that 21-15=6, this means he would have to add 6 boys to the club if he wants the girls and boys equal.
4 0
3 years ago
Write .0296 in word form
TEA [102]

two hundred ninety-six ten thousandths

4 0
3 years ago
Draw an area model. then solve using the standard algorithm. use arrows to match the partial products from your area model to th
11111nata11111 [884]
The answer to your question of what is 273 times 346 is 94,458
4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve a/b x - c = 0 for x.
    6·1 answer
  • Sara wrote 524 words in her journal. Then she crossed out 56 words and added 95 new words. How many words are written in her jou
    8·1 answer
  • Which expression represents this word phrase? seven less than the quotient of x and 9 x−7 9 x÷ 9 7 (x÷9)−7 (9÷x)−7
    13·1 answer
  • Partial quotient of 235 divided by 5
    5·2 answers
  • HELP ASAP!!!!!!!!!!!!!!!!!
    11·2 answers
  • The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b1 and b2 are the bases of
    15·2 answers
  • Pls help I need a lot ive failed this 3 times I can't fail again ahhh please help​
    6·1 answer
  • What is the simple interest on 500 for 5 years at the rate of 5% per annum
    8·2 answers
  • How to find z scores
    15·1 answer
  • If a || b, m<2=63°, and m<9=105°, find the measure of missing angle m<1=?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!