MATHEMATICS HIGH SCHOOL

For f (x), evaluate the following:
a, f(0)
b. f(6)

Show all of your work

Answers

Answer 1

Answer:

Answer:

a). f(0) = 4

b). f(6) = 8

Step-by-step explanation:

a). When x < 5, piecewise function to be considered,

f(x) = x + 4

Since, x = 0 is less than x = 5

f(0) = 0 + 4

f(0) = 4

b). When 5 ≤ x < 7,

Piecewise function to be considered,

f(x) = 8

Therefore, for x = 6,

f(6) = 8

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Let f(x) = 2x, g(x) = x2 + 2, and h(x) = -4x + 3. Find the composite function.

Answers

The compositefunction gof (x) is 4x^2 + 2.

The correct option is b.

What is a composite function?

Let the two functions f(x) and g(x) generate a new function h(x) using an operation.

The operation is a composition of functions and h(x) is a compositefunction.

Given:

Three functions f(x) = 2x, g(x) = x² + 2, and h(x) = -4x + 3.

To find the compositefunction gof (x), we need to substitute g(x) into f(x) wherever there is an x in f(x).

gof (x) = g(f(x))

= g(2x)

= (2x)²+ 2

= 4x² + 2

Therefore, gof (x) = 4x² + 2.

To learn more about the composite function;

brainly.com/question/29048585

#SPJ7

$(g\circ f)(x)=g(f(x))\n\n(g\circ f)(x)=(2x)^2+2=4x^2+2 \Rightarrow B$

Can u plz help me I don't understand

Answers

Answer:

Yes

Step-by-step explanation:

u multiply 10% and 84= 8.4

anything close to 84- 8.4

(cosx-sinx)^2 = 1-2sinx cosx

Answers

cos^2x - 2cosxcosx + sin^2x = 1 - 2sin x cosx

So cos^2x + sin^2x = 1

-2x-9y=-25
-4x-9y=-23
Help ?!

Answers

Its solve the system of equations. you can do substitution or elimination.

There are two kinds of solving but elimination seems best for this system:

-2x-9y=-25
4x+9y=23 (multiplied it by -1 so you can eliminate the variable "Y")
---------------
2x=-2
x=-1 (divide by 2 on each side)

-2(-1)-9y=-25 (insert what you received for what "X" is)
2-9y=-25 (simplify)
-9y=-27 (subtract 2 on each side)
y=3 (divide each side by -9)

Turn them into y=mx+b form
(-2/9)x+25/9 and (-4/9)x+23/9.
Then equate them to each other
(-2/9)x+25/9=(-4/9)x+23/9
Then solve of x
(-2/9)x+(4/9)x = (23/9) - (25/9)
X = -1
Then plug in X and solve for y
Y = (-2/9)(-1) + (25/9)
Y= (27/9)
Y= 3
So your solution is (-1,3)

Each time Jenny presses the tab key on the keyboard, the software reflects the logo she is designing across the x axis. Her cat steps on the tab key 25 times. In which quadrant does the logo end up. Explain.So that's all there is sorry if it's not clear but's its word for word

Answers

lol where do teachers find these types of problems XD
all jokes aside, let me explain.
so quadrants are numbered like this:
Top right:1
top left:2
bottom left:3
bottom right:4

and when you reflect something across an axis, it ends up in the quadrant opposite what it was in before. so If the logo is in quadrant 1 its first reflection will end up in quadrant 4. repeat and it will end up in quadrant one again. in other words if the number of times the tab key is hit is even, it will stay in the same quadrant. If it is odd it will end up in the quadrant opposite it. Since no quadrant number is given in the question we must assume that it just wants us to say whether it stays in the same quadrant or the one opposite it. In this case, because of what I said before, it would be in whatever quadrant was opposite the one it started in. Very badly worded question, but this is the only answer possible. Hope this helped! :) If you are still confused than just comment and I will try to help you out more.

Can someone help me with these three problems I don't know how to do them.

Answers

Answer:

$\Huge \boxed{\tt{1.\,\,\, \tt{(x)/(3) = y}}}$

$\Huge \boxed{\tt{2.\,\,\, \tt{m = p - 5n}}}$

$\Huge \boxed{\tt{3.\,\,\,\tt{r = (t + 6s)/(12)}}}$

Step-by-step explanation:

Question 1

To solve the equation x = 3y for y, we want to isolate y on one side of the equation.

Let's divide both sides of the equation by 3:

$\tt{(x)/(3) = (3y)/(3) }$

Simplifying this gives us:

$\tt{(x)/(3) = y}$

So, the solution for y is $\tt{(x)/(3) = y}$ .

Question 2

To solve the equation m + 5n = p for m, we want to isolate m on one side of the equation.

Let's subtract 5n from both sides of the equation:

$\tt{m + 5n - 5n = p - 5n}$

Simplifying this gives us:

$\tt{m = p - 5n}$

So, the solution for m is $\tt{m = p - 5n}$ .

Question 3

To solve the equation 12r - 6s = t for r, we want to isolate r on one side of the equation, as said before.

Let's add 6s to both sides of the equation:

$\tt{12r - 6s + 6s = t + 6s}$

Simplifying this gives us:

$\tt{12r = t + 6s}$

Now, divide both sides of the equation by 12:

$\tt{(12r)/(12) = (t + 6s)/(12)}$

Simplifying this gives us:

$\tt{r = (t + 6s)/(12)}$

So, the solution for $\tt{r = (t + 6s)/(12)}$ .

#BTH1

__________________________________________________________

Answer:

a) y = x/3

b) m = p - 5n

c) r = (t + 6s)/12

Step-by-step explanation:

See the attached worksheet. The goal is to add/subtract/multiply and/or divide the individual terms until the "indicated variable" is isolated, and on the left (so that "variable =" ).

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An airliner carries 200 200 passengers and has doors with a height of 70 70 in. Heights of men are normally distributed with a mean of 69.0 69.0 in and a standard deviation of 2.8 2.8 in. Complete parts (a) through (d). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is . 6395 . (Round to four decimal places as needed.)b. If half of the 200 200 passengers are men, find the probability that the mean height of the 100 100 men is less than 70 70 in. The probability is nothing . (Round to four decimal places as needed.) c. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why? A. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. B. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. C. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. D. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? A. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. B. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. C. Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it is important that women not have to bend.

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