Answer:
Step-by-step explanation:
(f∘g)(x) = f(g(x))
= f(x²-3)
= 2(x²-3) + 1
= 2x² - 5
(f∘g)(-2) = 2(-2)² - 5
= 2·4 - 5
= 8 - 5
= 3
The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3 will be 3
What is composition of a function ?
The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.
The notation used for composition is: (f o g)(x) = f(g(x))
(fog)(x) = f(g(x))
this implies , (fog)(-2) = f(g(2))
given :
f(x) = 2x + 1
g(x) = x2 – 3
(fog)(x) = f(g(x)) = f(x^2 - 3)
= 2 (x^2 -3) +1
= 2x^2 - 5 equation 1
fog(-2) = f(g(2))
substituting the value of x = 2 in equation 2
= 2 * (2)^2 -5
= 3
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A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by f (t) = -16t^2 + 96t. In how many seconds will the rocket be at a height of 128 ft above the ground?
Answer:
t = 2 s and t = 4 s
Step-by-step explanation:
A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by,
[tex]f (t) = -16t^2 + 96t[/tex]
We need to find in how many seconds will the rocket be at a height of 128 ft above the ground.
It means,
[tex]128= -16t^2 + 96t\\\\-16t^2+96t-128=0\\\\16(-t^2+6t-8)=0\\\\(-t^2+6t-8)=0\\\\-t^2+4t+2t-8=0\\\\t(-t+4)-2(-t+4)=0\\\\(t-2)=0\ and\ (-t+4)=0\\\\t=2\ and\ t=4[/tex]
So, it will be at a height of 128 feet at 2 second and 4 second.
Solve for x
x = ____
30
45
22.5
Answer:
45
Step-by-step explanation:
x+3x+90=180
4x=180
X=45
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
Can you help me please?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.
The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%
Answer:B
Step-by-step explanation:
2.45(0.35)= 0.8575+2.45= 3.30
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
Help I need this now
Answer:
There is no question showing up so I dont know how to help u
Step-by-step explanation:
A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below. Colour Red Green Brown Yellow Probability 0.2 0.3 x 0.1 Find the probability of selecting a brown marble.
Answer:
0.4
Step-by-step explanation:
Given that:
Probability of :
Red _____Green ___ Brown _____ Yellow
0.2 ______ 0.3 ______ X ________ 0.1
Since the bag contains only red, green, brown and yellow marbles ;
The sum of each color's probability should sum up to 1;
ΣP(x) = 1
Hence,
0.2 + 0.3 + x + 0.1 = 1
0.6 + x = 1
x = 1 - 0.6
x = 0.4
P(brown) = 0.4
Help meh- im d u m b
Answer:
[A] 0Explanation:
Lines of symmetry; A line that cuts a shape exactly in halfIf you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.
If you were to put a line of symmetry down on this triangle both sides would not match, therefore there are no lines of symmetry.There are zero lines of symmetry, therefore your answer is [A] 0Someone plz help me with this 2 questions I will give brainliest
(Look at the pictures)
Answer:
61 ounces
Step-by-step explanation:
1 pound = 16 ounces
8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces
No Jesse's weight = 12 pounds = 12*16 = 192 ounces
Weight gained = 192 - 131 = 61 ounces
Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years
Answer: £180
Step-by-step explanation:
The interest gotten for the 10 years will be calculated as:
= Principal × Rate × Time
= 150 × 2% × 10
= 150 × 0.02 × 10
= 30
The amount he has in the bank account at the end of the 10 year will be:
= Principal + Interest
= £150 + £30
= £180
answer this question
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 136.
The diagram says x+4 on the top and x on the side
please help me solve this thanks
Answer: 4x+8<120
x<28
Step-by-step explanation:
As per the statement in the question, the inequality will be 4x + 8 < 136.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the instructions given in the question,
The length (l) of the rectangle = x+4
The width (w) of the rectangle = x
As per the formula of the perimeter, P:
P = 2 (l + w) (i)
Put the values in (i)
P = 2 (x + 4 + x)
P = 2x + 8 + 2x
P = 4x + 8
Then the inequality as per the statement in the question will be,
4x + 8 < 136.
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help i need help i really really need help no cap
1. 6x + 2y = -12
4x + 3y = 7
2. 4x - y = 26
5x - 4y = 8
3. 5x + 3y = 13
17x + 8y = -16
using elimination to solve each system of equations
Answer:
J71763eua8w8w8us
Nakshatra w
Nskd8w8
I2991992
density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg
Mass= Density *Volume
9.86 g/cm3 *150 cm3 =1479g
1479 g to kilograms
1479g= x
1000g = 1 kg
x = 1479 g / 1000 x = 1.479 kg.
Evaluate 2x when x = 4
COULD SOMEONE HELPP
HELPPPPPPPPPPPPPpPppp
Answer:
Answer c..... can i get brainliest ?
Step-by-step explanation:
Just substitute (2,0) in the equation
2 for x
0 for y
Mary has a container filled with 20 ounces of cereal. Each day she eats 4.5 ounces
of cereal.
• Write an expression to represent the amount of cereal left after x days.
Answer:quin hill from ms Henry math class?!?!?!?! Why are you on brainly.....
Step-by-step explanation:3.1
Plssss help meee I need help
Answer:
no
Step-by-step explanation:
[tex]29^{2} \neq 20^{2} + 26^{2}[/tex]
Simplify 5a – (2a + 6)
Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
..........................
which of the following is NOT a monomial?
a. x-4
b. 22xy
c. 3
d. -11x
Can you solve the equation?
Answer:
x=3 and 9
Step-by-step explanation:
; x-3=0
x=3 (change side change mark)
and
[tex] \frac{2}{3} x - 6 = 0[/tex]
[tex] \frac{2}{3} x = 6[/tex]
[tex]x = 6 \times \frac{3}{2} [/tex]
change side change mark.
So, x=9
If u wanna check the answer you can check by substitution x=3 and 9 in equation.
hope it helps you ☺️
Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
Answer:
15400 ÷ 6/100
Step-by-step explanation:
next step do yourself
I hope it will help you
laurague here is your answer:)
What is the simplest form of of this expression?
Answer:
B
Step-by-step explanation:
This block of ice needs to be wrapped in a special reflective material to keep it from melting before the ice carving competition begins. How much reflective material is needed to cover the block completely, with any overlaps?
Question 5 options:
3.1 m2
1.144 m2
3.67 m2
6.7 m2
Did I do it rightly?
Y=4-2x 3y-2x=4 solve using substitution
Answer:
x=1 y=2
Step-by-step explanation:
y=4-2x 3y=4+2x
3*(4-2x)=4+2x
12-6x=4+2x
12-4=2x+6x
8x=8
x=1
y=4-2*1
y=2
What is the answer to (a²)(a⁵)(a⁷)
Answer:
The answer would be a^70
Step-by-step explanation:
Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)
