A line and a point not on the line lie in exactly one plane. True False

Answers

Answer 1
Answer: True, they exist in exactly one plane
Answer 2
Answer: true it does line up.

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F(x)= 2x+1/3x-4 H(x)=3x³-7EvaluateF(x)–¹And Fh(4)

Answers

f(x) = (2x + 1)/(3x - 4)
h(x) = 3x³ - 7

f(x) = (2x + 1)/(3x - 4)
y = (2x + 1)/(3x - 4)
y(3x - 4) = (3x - 4)((2x + 1)/(3x - 4))
y(3x) - y(4) = 2x + 1
3xy - 4y = 2x + 1
3xy - 2x = 4y + 1
x(3y) - x(2) = 4y + 1
x(3y - 2) = 4y + 1
(x(3y - 2))/(3y - 2) = (4y + 1)/(3y - 2)
x = (4y + 1)/(3y - 2)
y = (4x + 1)/(3x - 2)
f^(-1)(x) = (4x + 1)/(3x - 2)

f(h(4)) = 3x³ - 7
f(h(4)) = 3(4)³ - 7
f(h(4)) = 3(64) - 7
f(h(4)) = 192 - 7
f(h(4)) = 185

f^(-1)(x) - f(h(4)) =(4x + 1)/(3x - 2) - 185
f^(-1)(x) - f(h(4)) =(4x + 1)/(3x - 2) = (185(3x - 2))/(3x - 2)
f^(1)(x) - f(h(4)) =(4x + 1)/(3x - 2) = (555x - 370)/(3x - 2)
f^(-1)(x) - f(h(4)) =((4x + 1) - (555x - 370))/(3x - 2)
\f^(-1)(x) - f(h(4)) =((4x - 555x) + (1 - 370))/(3x - 2)
f^(-1)(x) - f(h(4)) =(-551x - 369)/(3x - 2)

To determine the appropriate landing speed of an airplane, the formula D = .1x 2 − 3x + 22 is used, where x is the initial landing speed in feet per second and D is the distance needed in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. What is the appropriate landing speed if the runway is 800 feet long? Show all of your work or explain how you came up with your solution

Answers

800=0.1x^2-3x+22\n0.1x^2-3x-778=0\n\Delta=(-3)^2-4\cdot0.1\cdot(-778)=9+3112=3121\n√(\Delta)=√(3121)\nx_1=(-(-3)-√(3121))/(2\cdot0.1)=(3-√(3121))/(0.2)=15-5√(3121)\approx-264.3\nx_2=(-(-3)+√(3121))/(2\cdot0.1)=(3+√(3121))/(0.2)=15+5√(3121)\approx294.3

Approx. 294.3 ft/s

Day and Night Kennel charges $20 per day plus a food fee of $15 to board a pet. Home Away From Home Kennel charges $30 per day plus a food fee of $5. Which system represents this real-world situation?

Answers

Let,

"p" represent the total cost to board the pet (food fee + charge per day included)
"d" represent the total number of days to board the pet

Now,
$$The equation to find how much Day and Night Kennel chargers :
$$ p\ =\ 20d+15

$$The equation to find how much Home Away From Home Kennel :
$$ p\ =\ 30d+5



Answer:

Answer is (B)!!

Step-by-step explanation:

These people that have the green check are such a waste of time...

UW

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

Answers

For future reference, use a * to show the multiplication sign because in math x is a variable. 7*2 = 9 + x

Now multiply 7*2= 14

14 = 9 + x

Now subtract 9 from both sides to isolate the x

5 = x or x= 5

Answer:

D

Step-by-step explanation:

8.92*10^9 in standard notation

Answers

8,920,000,000

Basically just add 9 0's to that number, using the first few to get rid of the decimal places.

. Consider the following standards.MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.

Answers

Part A:

A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.

A composite function is created by plugging one function into another.

Part B:

The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.

Part C:

Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.

oof that took a while lol