Answer:
a -1
b 1
c 3
d 2
no
Step-by-step explanation:
Find the composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 – 3.
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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Solve the system of equations:
y=2x
Y=x^2-3
Answer:
C
Step-by-step explanation:
The two solutions are (-1,-2) and (3,6)
Write a story that could represent this math problem.
Which of the following is a polynomial?
Answer:
A. 3x^2+6x is a polynomial
plz help this is what might get m to a 100 so plz help me
Answer:
I'd say it's the first dot in from the left (close to 2.4)
Step-by-step explanation:
the square root of 6 is 2.4494, and that's very close to 2.4
Move values to the lines to complete the sentence about triangle p’ q’ r’
Use the distributive property to write (−1)( + 3) as an equivalent expression.
Answer:
-3
Step-by-step explanation:
- times + is equal to -
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
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
14 is whatpercent of 25
Answer: the answer is 56
Hope this Help
Step-by-step explanation:
100%= 25
X%= 14
100%=25(1)
X% = 14(2)
100%/x% = 25/14
X%/ 100% = 14/25
X=56%
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
170 in ratio of 9:8 sorry I’m not to good at math
Answer:
if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25
Step-by-step explanation:
hope this helps
You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement(s) give enough information to conclude that the door frame forms a rectangle?
Answer:
you would take away the bottom
Step-by-step explanation:
True or false A graph that shows distance per unit of time shows speed. _________
can someone help I will give the brainliest Plz help u will get 50 points
Answer:
B.) 6
2.) 70
3.) 56
Step-by-step explanation:
B.) 2(6) - 6
= 12 - 6
=6
2.) 7(2(3)+4)
=7(6+4)
=42+28
=70
3.) 10(3) + 4(3) + 14
= 30 + 12 + 14
= 42+14
=56
Have a wonderful day
:)
A bag contains pennies, nickels, dimes and quarters. There are 50 coins in all. Of the coins 16% are pennies and 42% are dimes. There are 5 more nickels then pennies. How much does the bag contain
Answer: 21 Nickels
21 dimes
8 pennies
Step-by-step explanation:
What is the value of A when we rewrite
(1/7)^x-2 - (1/7) ^x as A x (1/7)^x
Answer:
48
Step-by-step explanation:
Khan Academy
The value of [A] will be 48.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that we have rewritten -
(1/7)ˣ ⁻ ² - (1/7)ˣ as [A] x (1/7)ˣ
We have (1/7)ˣ ⁻ ² - (1/7)ˣ rewritten as [A] x (1/7)ˣ. So, we can write -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :
[(1/7)ˣ / (1/7)²] - (1/7)ˣ
(1/7)ˣ [1/(1/7)² - 1]
We have -
(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.
So, we can write -
(1/7)ˣ × [1/(1/7)² - 1] = [A] × (1/7)ˣ.
On comparing, we get -
[A] = [1/(1/7)² - 1]
[A] = 48
Therefore, the value of [A] will be 48.
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Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
What is the correct factorisation of?
X^2+6x+8
Answer:
Step-by-step explanation:
Given that: x
2
+6x+8
=x
2
+4x+2x+8, (split middle term)
=(x
2
+4x)+(2x+8), (group pair of terms)
=x(x+4)+2(x+4), (factor each binomials)
=(x+4)(x+2), (factor out common factor (x+4)
Hence factors of x
2
+6x+8 are (x+4)(x+2)
3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.
Answer:
6.2%
Step-by-step explanation:
Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%
please answer these questions
Find the slope of the line segment.
Answer:
Option 3
Step-by-step explanation:
-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.
PLEASEEEE HELPPPPPP!!!
Answer:
18
Step-by-step explanation:
What is the area of the shaded region?
26 km
35 km
Answer:35/2=17.5*26= ?
Step-by-step explanation:
In your own words what is the definition of reflection (in geometry)
Answer:
a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip
Step-by-step explanation:
plzzz help me yall due soon
Answer:
the answer is d ur welcome.
SOMEONE PLEASE HELP ME WITH THIS QUESTION!
Answer:
i dont know but i have a pic for u
Step-by-step explanation:
The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?
Which relationship describe angles 1 and 2
Vertical angles
Adjacent angles
Supplementary angles
Complementary angles
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. :)