Answer:
Step-by-step explanation:
the concepts are confusing of what a function is. f(x) seems mysterious , huh
it's just a way to give a label to some set of terms. Just think of it as a name of a person, but in a generic sense, like hey "guy" or hey "gal" you can address many people that way. f(x) is doing that same thing addressing by a name, a set of math terms.
a)
in a) we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so
g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11
g(-2) = -8 -3(4) - 4 +11
g(-2) = -8 -12 -4 + 11
g(-2) = -24 + 11
g(-2) = -13
b)
h(-1) find the h(x) function and input a negative 1 where ever there is an x
h(x) =
h(-1) = [tex](-1)^{2}[/tex] - 3
h(-1) = 1 - 3
h(-1) = -2
c)
for c) just combine like terms of the two given functions
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3
g(x) - h(x) = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14
d)
-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)
-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3
-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]
-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1
e)
f(h(x)) this gets a bit more confusing b/c it's a composition of functions, that's just a fancy way of saying the functions are nested. one inside the other.
f(x) = 3x + 2
h(x) = [tex]x^{2}[/tex] - 3
plug h(x) in to f(x) where ever there is an x in f(x) , luckily there is only one x in f(x) :)
f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 7
f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)
f)
f(x) = 3x + 2
g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35
Hope that helps :)
A local cable TV/Internet/phone provider charges new customers $129 for all three services, per month, for the first year under their "3 for 129" promotion. Joanne normally
pays $74 for her monthly home phone service, $59 for Internet service, and $69 for cable television
a. What are her percent savings if she switches to the "3 for 1299 plan? Round to the nearest percent.
b. If, after the first year, the flat fee for all three services is $139, what are her percent savings? Round to the nearest percent.
Answer:
Step-by-step explanation:
Amount paid by Joanne before promotion = 74 + 59 + 69 = $ 202
a) Amount saved if she switches to "3 for 129 plan" = 202 - 129 = $ 73
Percentage of saving = [tex]\frac{73}{202}*100[/tex] = 36.13 = 36%
b) Amount saved after the first year = 202 - 139 = $ 63
Percentage of saving = [tex]\frac{63}{202}*100[/tex] = 31.18 = 31%
Which equation can be used to find the value of X?
A OR B
Ik the answer is 6x-6 but HOW DO YOU KNOW IF IS 180 OR 360?
FOR BRAINLIST!!!
Answer:
d
Step-by-step explanation:
Just put it equal to 180.
2x+5+4x-11+90=180
6x+84=180
Giving brainliest!!!!
Answer:
I believe it maybe 300 cm³
PLEASE HELP ME 20 POINTS FIR THE CORRECT ANSWER
Answer:
AC ≈ 11 cm
Step-by-step explanation:
i used the pythagorean theorem twice . . .
1st was with ΔCED:
EC² + 7² = 8²
EC² = 64-49
EC = √15
2nd was with ΔAED:
AE² + 7² = 10²
AE² = 100-49
AE = √51
√51 + √15 ≈ 11
i want it now pls help me im not good in maths
Answer 3 ten of numbers between -5/6,5/8
multiply there denominators by any number ...
-5/6×48= -40/48
5/8×48= 30/48
Hence
30/48,31/48,32/48,33/48,34/48,35/48,36/48,37/48,38/48,39/38.
Answer 4
1. x-5=9
X=9+5=14
2. 7= y+2
7-2=y
5=y
Answer 5 X/9=-2
X= -2×9
X= -18
5t= 30
t=30/5
t=6
hope it helps friend
An airline reports that 85% of its flights arrive on time. To find the probability that its next four flights into LaGuardia Airport all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?
Answer:
The answer is "no".
Step-by-step explanation:
No, because the probability besides simultaneous flights to arrive on time are not self-sufficient for every flight (when the first flight was late, therefore the probabilities during the next flight were significantly greater), because then the standard multiplication principle would be used for explanatory variables.
Yes, we can multiply (0.85)(0.85)(0.85)(0.85)
Let the four flight be represented by A, B, C, and D respectively
Probability that each of the flights arrive on time is 0.85
That is:
Probability that flight A arrives on time, P(A) = 0.85
Probability that flight B arrives on time, P(B) = 0.85
Probability that flight C arrives on time, P(C) = 0.85
Probability that flight D arrives on time, P(D) = 0.85
Probability that the next four flights arrive on time will be:
P(A) x P(B) x P(C) x P(D) = 0.85 x 0.85 x 0.85 x 0.85
Yes, we can multiply (0.85)(0.85)(0.85)(0.85)
Learn more here: https://brainly.com/question/22983912
During halftime of a soccer game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 43 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
The T-shirt takes nothing second(s) to reach its maximum height.
(Type an integer or a decimal.)
The T-shirt's maximum height is nothing feet above the field.
(Type an integer or a decimal.)
What is the range of the function?
A.
6≤h≤70
B.
All real numbers
C.
43≤h≤70
D.
0≤h≤70
Answer:
During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.
I will give you brainliest answer if u help me with 4 problems
I need help with this math question
How many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs
Answer:
1 pair
Step-by-step explanation:
The top and bottom sides can go forever without crossing
Answer:
1
Step-by-step explanation: because the top and bottom a pair
4x + y=22
y=x-3
Need fast help plz
Answer:
x=5
Step-by-step explanation:
4x+(x-3)=22
5x-3=22
+3 +3
5x=25
/5 /5
x=5
Which of these number sentences is NOT true?
A. 4,000,000 millimeters =4 kilometers
B. 300 millimeters >3 centimeters
C. 5 meters > 5,000 millimeters
D. 2,000 meters < 20 kilometers
Answer: D
i hope this helps!
Answer: the answer is D!
Step-by-step explanation:
someone please help me im timed
Answer:
C
Step-by-step explanation:
All sides of a square are equal.
At what age can you start withdrawing money from retirement accounts? What’s the penalty for withdrawing money early from retirement accounts? Type the correct answer in each box. Use numerals instead of words. Use / for a fraction bar.
The penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
We need to find at what age can you start withdrawing money from retirement accounts.
We need to find what’s the penalty for withdrawing money early from retirement accounts.
You can withdraw money from your 401k before age 59 ½. However, early withdrawals often come with hefty penalties and tax consequences.
If you find yourself needing to tap into your retirement funds early, here are rules to be aware of and options to consider.
What are 401k Withdrawal Rules?The IRS allows penalty-free withdrawals from retirement accounts after age 59 ½ and requires withdrawals after age 72. There are some exceptions to these rules for 401k plans and other qualified plans.
Generally, if you take a distribution from an IRA or 401k before age 59 ½, you will likely owe:
federal income tax (taxed at your marginal tax rate)10% penalty on the amount that you withdrawrelevant state income taxTherefore, the penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
To learn more about retirement accounts visit:
https://brainly.com/question/13678399.
#SPJ1
find area and perimeter
Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
Find the surface area please!
Answer:
158 in²Step-by-step explanation:
First we can write the equation to find the surface area of a rectangular prism[tex]A = 2(w*l+h*l+h*w)[/tex]
Now rewrite filling in variables
[tex]A = 2(3*5+8*5+8*3)[/tex]
Solve. Keep in mind the order of operations
After solving, you should get 158.
Since these measurements were done in inches, we need to add inches/in to the end.
Also, since it is area, we need to add ²
158 in²
Which fraction is the product of 8/7 x 9/10?
Answer:
[tex] \frac{8}{7} \times \frac{9}{10} \\ = \frac{8 \times 9}{7 \times 10} \\ = \frac{72}{70} \\ = 1.02[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Please help very urgent
Answer:
(a)
[tex]T_n = 3(-4)^{n-1}[/tex]
(b)
[tex]\sum\limits^n_1 { 3(-4)^{n-1}[/tex]
Step-by-step explanation:
Given
The above sequence
Solving (a): The explicit formula
The given sequence is a geometric sequence because the common ratio (r) is:
[tex]r = \frac{-12}{3} = \frac{48}{-12} = \frac{-192}{48} = \frac{768}{-192}[/tex]
[tex]r = -4[/tex]
The explicit formula is calculated using the n term of an GP.
[tex]T_n = ar^{n-1}[/tex]
[tex]T_n = 3 * (-4)^{n-1}[/tex]
[tex]T_n = 3(-4)^{n-1}[/tex]
Solving (b): Summation notation.
This implies that the sum of the sequence.
To do this, we write Tn inside the summation sign
i.e.
[tex]\sum\limits^n_1 {T_n}[/tex]
Substitute values for Tn
[tex]\sum\limits^n_1 { 3(-4)^{n-1}[/tex]
3. Shawn has a greenhouse in the shape shown in the figure below. He keeps new plants in the
room represented by the shaded area. What is the perimeter of the room that is shaded
A.74 ft.
B. 86 ft.
C. 93 ft.
D. 130 ft.
Answer:
74
Step-by-step explanation:
2-An 83cm piece is cut from a length of ribbon measuring 1.3 metres. What length is left?
Answer:
81.7cm is the length left behind
Step-by-step explanation:
83 -1.3 =81.7
Please help me! It’s due soon!
Which fractions equal the whole number 4?
Choose each answer not just one
A. 12/3
B. 4/1
C. 6/4
D. 4/6
Answer:
A, B
Step-by-step explanation:
A. 12/3=4
B. 4/1=4
C. 6/4=1 1/2
D. 4/6=2/3
Answer:
A and B
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠RQO and ∠STV
∠PQO and ∠UTV
Step-by-step explanation:
Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.
−7=−4w−19
what is 5*7x80 i need help
Answer:
35x⁸⁰
Step-by-step explanation:
that's the answer
Atlanta's population is two million, eight hundred thirty-three thousand, five hundred
eleven. Write this number in standard form (using numbers).
??
Answer:
2,833,500
Step-by-step explanation:
Which function would model: "The population of stink bugs decreases by 50 every
month
Answer:
there is no attachment to look at
Step-by-step explanation:
If AB = 10 and AC=7 , find m B. Round to the nearest tenth of a degree.
I got 9.379
bru-h it's making me type more
PLZZZ HELP
QUESTION:Find the slope between the 2 points (rise/run)
What is the y-intercept
Write the equation in y=mx+b
Answer:
your answer should be -2/3
Points R, S, T, and U lie on circle O.
R
S
o
U
© 2016 StrongMind Created using GeoGebra.
In circle 0. ZROSTOU, RS = 12x + 4 and TU=112 + 15.
What is the length of TU?
Answer:
136
Step-by-step explanation:
12x + 4 = 11x + 15 {Subtract 11x from both sides.}
(12x - 11x) + 4 = 15
x + 4 = 15 {Subtract 4 from both sides.}
x = 15 - 4
x = 11
Now, SUBSTITUTE 11 for x in 11x + 15.
11(11) + 15
121 + 15
136 units
The length of line TU is 136 units.