If f(x)=4x-1 and g(x)=1-3x. What is the value of f(g(-2))? a) 26 b) -29 c) 25 d) 24

Answer:

Step-by-step explanation:

The first 2 pieces of this function agree at pi/4, so we will set them equal to each other and sub in pi/4 for x to solve for k:

[tex]ksin(\frac{\pi}{4})+(\frac{\pi}{4})^2=\frac{\pi}{4}+2[/tex] and

[tex]k(\frac{\sqrt{2} }{2})+\frac{\pi^2}{16}=\frac{\pi}{4}+2[/tex] and we'll multiply everything by 16 to get rid of the fractions. Doing that gives us:

[tex]8k\sqrt{2}=4\pi+32-\pi^2[/tex] and

[tex]k=\frac{4\pi+32-\pi^2}{8\sqrt{2} }[/tex] so

k = 3.067

The next one is a bit tricky if you're not up on your natural log equations.

Again, we set these equal to each other because they meet at the value of e. We sub in e for x and solve for m:

[tex]x +2=mlne^x[/tex]

We'll sub in e for x. ln of e to the x power is equal to x, so

e + 2 = me and

[tex]m=\frac{e+2}{e}[/tex] so

m = 1.736

Hope that helps!

Answer:

x=7

Step-by-step explanation:

Collect like terms:

-x=6-3x+8

-x+3x=6+8

Simplify

2x=14

Simplify

x=7

Answer:

3x - 6

Step-by-step explanation:

To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)

f(2x) = 3(2x) - 2 = 6x - 2

f(x + 2) = 3(x + 2) - 2 = 3x + 6 - 2 = 3x + 4

Thus

f(2x) - f(x + 2)

= 6x - 2 - (3x + 4)

= 6x - 2 - 3x - 4

= 3x - 6

Answer: We know how much 4 pizza's costs, we want to find out the regular cost of 1 pizza

Answer:

hello it is so

Step-by-step explanation:

simple simply do the division if don't I can

Answer:

21, 34, 55

Step-by-step explanation:

13+8=21

21+13=34

34+21=55

Answer:C

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf \frac{34}{9}\ \ OR \ \ 3\frac{7}{9} }[/tex]

Step-by-step explanation:

Let

x = 3.777.......                (1)

Then

10x = 37.777.....             (2)

Subtracting (1) from (2)

10x - x = 37.7777..... - 3.77777.......

9x = 34

Dividing both sides by 9

x = 34 / 9

x = [tex]3 \ \frac{7}{9}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

1

Step-by-step explanation:

Because they both of the same base, we can merge 2^5 and 2^3 into one term: 2^8 (2^(3+5))

4 is = 2^2 so we can change 4^4 to 2^8.

(2^(2*4)).

Thia means we now have 2^8/2^8 which is 1.

As anything divided by itself is just 1.

Hope this helped!

Answer:

The answer is 9

Step-by-step explanation:

All you need to do is divide the two numbers and you will get 9. Trust me I did this one:)

Answer:

the answer is 9

Step-by-step explanation:

hope this helps :D. And can u plz give me a brainliest??

Answer:

The answer isn't in the options anyway I'll write it. the answer is 46.

Step-by-step explanation:

According to BODMAS rule - addition should be done first so

4+36= 40 and -3 +7 = 4 so 40+4 ,= 44

then we should do subtracting so, 10-8 = 2

to conclude we should bring the equation to an end so,

44+2 = 46

HOPE THIS HELPS YOU

Answer:

0

Step-by-step explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 4-4)/( 5 - -3)

    = 0/ ( 5+3)

   = 0/8

  = 0

Answer:

Step-by-step explanation:

This problem bothers on probability

Given that two dice are expected to give an outcome of sum greater than 8

But in the problem statement the first die is already settled since it is showing 6 already.

Now for the second die, the possible outcomes that will add up with the first die to produce a figure greater than 8 are (3,4,5,6)  

The probability of obtaining either of these numbers is 4/6= 2/3

Having the first die settled, this means that the probability of obtaining a sum of 8 is 2/3

its the first option.

tiles of X and tiles of 1 are different

3 tiles of "X" = 3X

3 tiles of " 1 " = 3

option 3 does not mean 3X, it just means 3X + 3

Answer:

If it's the other way around which is x+3 it would be

Step-by-step explanation:

1=X

&

3 ones

x-1-1-1

Hope that helps as well 0_0

Answer:

Im positive it is C if its not im sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the Midpoint of UV is M(4, -6) and U(7, -9), we are to find the other coordinate V. The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

Y = y1+y2/2

Given (X,Y) = ()4, -6)

U (x1, y1) = (7, -9)

To get x2 and y2, we will substitute the given values into th formula above;

4 = (7+x2)/2

cross multiply

4*2 = 7+x2

8 = 7+x2

x2 = 8-7

x2 = 1

Similarly for y2;

-6 = (-9+y2)/2

cross multiply

-6*2 = -9+y2

-12 = -9+y2

y2 = -12+9

y2 = -3

Hence the other coordinate V(x2, y2) is (1, -3)

Answer:

Step-by-step explanation:

-2 (x -4) - 1/2 (3-4x) = -12

                ×(-2)           ×(-2)

4(x - 4) + (3 - 4x) = 24

4x - 16 + 3 - 4x = 24

     -13 = 24            <-- it's not true so it's no solution

Answer:

6> X · X ÷ 4²·y+8 - 12m+7

Step-by-step explanation:

Answer:

30 cm.

Step-by-step explanation:

We can solve this problem by making a proportion:

1 cm/65 km = x cm/1,950 km

By cross-multiplying, we can solve for x:

65x = 1,950

x = 30

Answer:

If you are looking for y it's 5

Step-by-step explanation:

Plug in 3 for x

7(3) -3y = 6

21 - 3y = 6

subtract 21 from both sides

-3y = - 15

divide by three from both sides

y = 5

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

If the number of emails that Ryan and Taylor each received  is x emails then Sara received  2x + 0.25 * 2x = 2.5 emails.

So 2x + 2.5x = 882

x = 882/4.5

x = 196.

So Sara received 2.5 * 196

= 490 emails.

Answer:

56

Step-by-step explanation:

Answer:

[tex]n^4[/tex]

Step-by-step explanation:

So we have:

[tex]n^{-2}\cdot n^6[/tex]

We can use the following property:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

Thus, our expression is equivalent to:

[tex]=n^{-2+6}[/tex]

Add:

[tex]=n^4[/tex]

And we're done!

n2

i have taken something like this before!

15 stacks high or 405 if done 27 times

Answer:

15 stacks

If she does it for 27 more times it will be

405

Answer:

x = 2, 4

Step-by-step explanation:

Step 1: Write out quadratic

x² - 6x + 10 = 2

Step 2: Subtract 2 on both sides

x² - 6x + 8 = 0

Step 3: Factor

(x - 4)(x - 2) = 0

Step 4: Find roots

x - 4 = 0

x = 4

x - 2 = 0

x = 2

Answer: 66

Step-by-step explanation:

Answer:

y = 4.5x

Step-by-step explanation:

Given:

We can see that:

Therefore the relationship between x and y is:

Answer:

y=4.5x

Step-by-step explanation:

I luv ur profile picture! (: