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erastova [34]
3 years ago
12

Solving multi step equations 5/6k + 2/3 = 4/3

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

k = 4/5

Step-by-step explanation:

First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."

Next, identify the LCD.  It is 6.  Then the given equation becomes

5k + 4 = 8

Consolidate the constant terms:  

5k = 4

Solve for k: k = 4/5

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Someone help please!!!!
LUCKY_DIMON [66]

Answer:

x = -2

TU = 4

UB = 2

Step-by-step explanation:

you can add x^2 with 4x+10 and equate it to 6:

x^2 + 4x + 10 = 6

x^2 + 4x + 4

then u can use the roots formula : x = (-b ± √ (b2 - 4ac) )/2a

so it'll be   x = {-4±[√16 - 4(4)]}/2

x= -2

then u can substitute it and find TU and UB

TU= (-2)^2 = 4

UB= 4(-2)+10 = 2

5 0
1 year ago
Write a recursive rule and an explicit rule for the<br> sequence<br> 3,7,11,15
m_a_m_a [10]

Answer:

The Recursive formula for the sequence is:

aₙ = aₙ₋₁ + d

The Explicit formula for the sequence is:

a_n=4n-1

Step-by-step explanation:

Given the sequence

3,7,11,15

Here:

a₁ = 3

computing the differences of all the adjacent terms

7 - 3 = 4, 11 - 7 = 4, 15 - 11 = 4

The difference between all the adjacent terms is the same and equal to

d = 4

We know that a recursive formula basically defines each term of a sequence using the previous term(s).

The recursive formula of the Arithmetic sequence always involves the first term.

a₁ = 3

We know that, in the Arithmetic sequence, every next term can be obtained by adding the common difference and the preceding term.

so

The recursive formula of the sequence is:

aₙ = aₙ₋₁ + d

substitute n = 2 to find the 2nd term

a₂ = a₂₋₁ + d

a₂ = a₁+ d

substitute a₁ = 3 and d = 4

a₂ = 3 + 4

a₂ = 7

Thus, the recursive formula for the sequence 3,7,11,15 is:

aₙ = aₙ₋₁ + d

<u>An explicit rule for the sequence</u>

Given the sequence

3,7,11,15

We already know that

a₁ = 3

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 3 and d = 4

a_n=4\left(n-1\right)+3

a_n=4n-4+3

a_n=4n-1

Therefore, an explicit rule for the  sequence

a_n=4n-1

6 0
2 years ago
The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i
coldgirl [10]

Answer:

Growth rate = ln(1.1)/2

Step-by-step explanation:

Given:

P1 = 1.1 P0

Number of year n = 2

Computation:

P1 = P0[eⁿˣ]

x = growth rate

So,

1.1 P0 = P0[eⁿˣ]

1.1 = eⁿˣ

1.1 = e²ˣ

By taking log

Growth rate = ln(1.1)/2

6 0
3 years ago
What is the slope of this line (2,3)?<br>3<br> -3/4<br> 4<br>3/4<br> pllzzzz hurry!!!
ivann1987 [24]

3/4. The line is aming to 3 sorry im not that smart


5 0
3 years ago
5 + y + 8 = ? when y = 4
marishachu [46]
Easy 5+4=9+8=17 your answer is 17 :)
5 0
3 years ago
Read 2 more answers
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