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mezya [45]
3 years ago
15

F(x)=√(10-3x) find the formula

Mathematics
1 answer:
Otrada [13]3 years ago
8 0
Let y=f(x)
y=sqrt(10-3x)
you want to make x the subject

square both sides
y²=10-3x
3x=10-y²
x=(10-y²)/3

now replace y with x
f^-1(x)=(10-x²)/3
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Use the formula to help you answer the question below. do not include units in your answer.
bogdanovich [222]
The information given requires you to rework the formula as :
distance÷time=rate

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7 0
3 years 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
Write and evaluate the expression. Then, select the correct answer.
Law Incorporation [45]

Answer:

9

Step-by-step explanation: So we need to write and solve an equation to solve for m, which is 12. Simply plug in 12 for m in the equation.

Step 1: 2-x/4+10

Step 2: 2-12/4+10

Step 3: 2-3+10  

Step 4: -1+10=9

Plug 12 in for x

12 divided by 4 is 3 and 2-3 is -1

-1 + 10 is 9 -1 + 10 is 9

i hop it help u

4 0
3 years ago
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