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3 years ago

Given the arithmetic sequence 7,13,19,25..write both the explicit and recursive formulas

Mathematics

1 answer:

Bingel [31]3 years ago

5 0

Answer:

Step-by-step explanation:

a1=7

a2=13

c.d. d=13-7=6

an=a1+(n-1)d

an=7+(n-1)6=7+6n-6=6n-1

recursive formula

c.d .=an-a(n-1)

6=a_{n}-a_{n-1}

a_{n}=a_{n-1}+6

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Solve the system of equations.

algol [13]

8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = -2

y = -4(-2)
y = 8

Therefore, the point of intersection is (-2,8).

5 0

3 years ago

Read 2 more answers

I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful

Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let $f(x)=\sqrt{x}$ and $g(x)=7x^2+4x+1$ . Then, the given equation is essentially $f(g(x))=\sqrt{7x^2+4x+1}$ . Thus, we can use the chain rule.

Recall the chain rule: $\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)$ . So, let's find the derivative of each function:

$f(x)=\sqrt{x}=x^\frac{1}{2}$

We can use the Power Rule here:

$f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2} })=\frac{1}{2\sqrt{x}}$

Now:

$g(x)=7x^2+4x+1$

Again, use the Power Rule and Sum Rule

$g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4$

Now, we can put them together:

$y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)$

$y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }$

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4 years ago

Convert 11 milliliters to fluid ounces. Use 1 mL ≈ 0.034 fl oz.

VladimirAG [237]

Answer:

0.371954

Step-by-step explanation:

Formula- for an approximate result, divide the volume value by 29.574.

3 0

4 years ago

Read 2 more answers

Evaluate the expression x - 7. If x= 12.<br> 19<br> 6<br> 17<br> 5

ratelena [41]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}$

Step-by-step explanation:

Given , value of x = 12

To find : Value of the given expression

Given expression = $\sf{x - 7 }$

plug the value of x

$\dashrightarrow{ \sf{ 12 - 7}}$

Subtract 7 from 12

$\dashrightarrow{ \sf{5}}$

Hope I helped!

Best regards! :D

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4 years ago

The next four digits in the number 0.3435363738394041 are

Vera_Pavlovna [14]

<h3>The pattern is 0.01+</h3>

<u>So the next 4 digits are:</u>

0.34353637383940414243

3 0

3 years ago