P = a + (n - 1)b, for b

Answers

Answer 1

Answer: P = a + (n - 1)b Subtratc a from both sides
P - a = (n - 1)b Divide both sides by (n - 1)
$(P - a)/(n - 1)$ = b Switch the sides to make it easier to read
b = $(P - a)/(n - 1)$

Answer 2

Answer: The answer is b=P-a-(n+1) all you had to do was the a and the parenthesis from the b and put it on the other side

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I’m having trouble with this one as well

Answers

The answer here would be

x = 21, y = 25

Differentiate. y=ln (17-x)

Answers

We have to use the chain rule's

$f(x)=ln(17-x)$

$f[g(x)]=ln[g(x)]$

therefore

$f(u)=ln(u)$

and

$u=g(x)=17-x$

them we have

$f'(x)=f'(u)*g'(x)$

$f'(u)=(1)/(u)$

$g'(x)=-1$

$f'(x)=f'(u)*g'(x)$

$f'(x)=(1)/(u)*(-1)$

$f'(x)=-(1)/(u)$

$\boxed{\boxed{\therefore~f'(x)=-(1)/(17-x)}}$

$y'=(17-x)'\cdot (1)/(ln(17-x)) =- (1)/(ln(17-x)) \n\n \ \ and\ \ \ D: \ 17-x > 0\ \ \ \Rightarrow\ \ \ x<17\ \ \ \Rightarrow\ \ \ D=(17;+\infty)$

An equation is shown below:3(4x − 2) = 1

Which of the following correctly shows the first two steps to solve this equation?
Step 1: 12x − 2 = 1; Step 2: 12x = 3

Step 1: 12x − 6 = 1; Step 2: 12x = 7

Step 1: 7x + 1 = 1; Step 2: 7x = 0

Step 1: 7x − 5 = 1; Step 2: 7x = 6

Answers

Answer:

The correct option is 2.

Step-by-step explanation:

The given equation is

$3(4x-2)=1$

Step 1: use distributive property.

$3(4x)+3(-2)=1$

$12x-6=1$

Step 2: Add 6 on both the sides.

$12x-6+6=1+6$

$12x=7$

Therefore the correct option is 2.

Answer:

Ya'll trippin', the person above is correct, it's the second option;

Step 1: 12x - 6 = 1; Step 2: 12x = 7

Step-by-step explanation:

How do I know?

3(4x - 2) = 1

(do distributive property)

so 3 times 4x and 3 times -2

12x - 6 = 1

(add +6 to 1; you do + 6 because you do the opposite of the og sign)

12x = 7

SO, the answer is clearly the second option.

^^ brainliest?!?

G(x) = 3x -1. Find x such that g(x)= 20.g(x)= 3x+1. Find x such that g(x)= 22.

g(x)= 2x-5. Find g(1/2) and g(a)=99.
g(x)=x+5/2. Find g(3), g(0), g(-3) and g(x)=0

Please solve this quickly. I need it right now. No silly answer will not be allowed.

Answers

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

An experiment is designed to determine the launch angle that will give a projectile the greatest range (make it go the longest distance). The "launcher" is a slingshot type of apparatus that is spring-loaded and released by a trigger. For each trial, the same painted rock is retrieved and launched. Measurements are taken linearly from the launch site to the landing site. The trials were done on a windless day.Which of the following would be a good hypothesis for this experiment?

If the angle of the launcher is increased, the rock will go further.

Changing the angle of the launcher will vary the distance that the rock can be projected.

Answers

If the angle of the launcher is increased, the rock will go further........

test each

if angle is increased, rock will go further
if the angle starts at 0, then increases to 90 degrees (straight up) the rock will go up then bounce off of the launcher going either front or back, but vastly shorter than if it were pointed straight ahead

2nd one
changing angle change the distance
we see that is true

Is it possible to write a sequence that is both arithmetic and geometric

Answers

It is not possible to write a sequence that is both arithmetic and geometric.
An arithmetic sequence is:
a0, a0 + d, a0 + 2d, a0 + 3d, ...

An geometric sequence is:
a0, a0r, a0r2, a0r3, ...

So if the two are equal, we have:
a0 = a0,
a0 + d = a0r,
a0 + 2d = a0r2,
a0 + 3d = a0r3,
...

This can only be true if d = 0 and r =1 and only for the first three terms. It's a trivial sequence with only three elements which can't be necessarily classified as a sequence.

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