You can replace any letter in function notation with any number.

The block factory has boxes to pack groups of one hundred books if maks has an order for 2,340 blocks how can he pack them using

SpyIntel [72]

He will use 24 boxes

4 0

3 years ago

Read 2 more answers

Solve using substitution x=(3y+1) and x+4y=15

natka813 [3]

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

$x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2$

Putting x = 3y+1 in equation 2 from equation 1

$3y+1+4y = 15\\7y+1 = 15\\$

Subtracting 1 from both sides

$7y+1-1 = 15-1\\7y = 14$

Dividing both sides by 7

$\frac{7y}{7} =\frac{14}{7}\\y = 2$

Putting y=2 in equation 1

$x = 3(2) +1\\x = 6+1\\x = 7$

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

What is the value of x in the equation , when y = 3? x = 6 x = 7 x = 8 x = 9

Misha Larkins [42]

Answer:

6, 7, 8, 9 respectively

Step-by-step explanation:

The variable y doesn't matter here because it is not in the equation at all.

5 0

4 years ago

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Find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)

Leno4ka [110]

Answer:

$lim_{x \to 1} x^2 -8x -2 =-9$

Step-by-step explanation:

For this case we want to find the following limit:

$lim_{x \to 1} x^2 -8x -2$

And we can find the limit distirbuting into each term like this:

$\lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2$

And replacing we got:

$1^2 - 8*1 -2 = 1-8-2 = -9$

So then the final answer for this case is:

$lim_{x \to 1} x^2 -8x -2 =-9$

8 0

4 years ago

Please please please help me please

Step2247 [10]

Answer:

Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.

These are integer sequences.

The sum of the two previous terms can be represented by:

fn = fn-1 + fn-2.

These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.

Ln = { 2 if n = 0

1 if n = 1

Ln-1 + Ln-2 if n > 1

________________

Fn+1 + Fn-1 = Ln

___________________

f(0) = -1

f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11

________________________________

f(12) = 199

________

f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....

given f(n) = f(n-1) + f(n-2)

____________________

f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =

f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =

f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =

f(10) + f(11) = f(12) →

f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =

7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =

47 + [76] = 76 + [123] = 199

_____________________

Explicit formula

for n is an integer.

Nth term of the lucas sequence.

As you can see, the golden ratio

( 1 + √5 / 2) appears in here.

L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹

6 0

3 years ago