Given:
The functions are:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x^2[/tex]
To find:
The value of [tex]fg(3)[/tex].
Solution:
We have,
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x^2[/tex]
Substitute [tex]x=3[/tex] in each function.
[tex]f(3)=2(3)+1[/tex]
[tex]f(3)=6+1[/tex]
[tex]f(3)=7[/tex]
And,
[tex]g(3)=(3)^2[/tex]
[tex]g(3)=9[/tex]
We know that, product of two functions is defined as:
[tex]fg(x)=f(x)\times g(x)[/tex]
Using this rule, we get
[tex]fg(3)=f(3)\times g(3)[/tex]
[tex]fg(3)=7\times 9[/tex]
[tex]fg(3)=63[/tex]
Therefore, the value of [tex]fg(3)[/tex] is 63.
Find the area of the triangle
A. 12 Square units
B. 5.5 square units
C. 24 Square units
D. 11 Square units
Answer:
A. 12 sq. units.
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
= 1/2 * 6 * 4
= 12.
Can you pllllsssssss help meeeeee
Answer:
0
Step-by-step explanation:
find mean : 2+3+4+7 divided by 4 equals 4
subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,
find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)
What is the coefficient of the term of degree 4 in this polynomial?
x^8+2x^4 - 4x^3 + x^2-1
Answer:
2
Step-by-step explanation:
the coefficient is the number that multiply the letter
What is the difference between an inscribed angle and a central angle?
Answer/Step-by-step explanation:
An inscribed angle is an angle that is formed by two chords in a circle. The vertex of an inscribed angle is at any point on the circumference of the circle.
On the other hand, a central angle is an angle that is formed by two radii of a circle. The vertex of a central angle is at the centerbof a circle.
Thus, from the diagram attached below, <EFG is an inscribed angle while <EOG is the central angle of the circle O.
Inscribed angle = ½ of the central angle.
Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter
Answer:
Perimeter
Step-by-step explanation:
Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room. Keyword for perimeter here is around.
What is the value of + 4h)2
when h = 0?
Answer:
[tex]( + 4h) {}^{2} \\ when \: h \: = 0 \\ (4 \times 0) {}^{2} \\ = 0[/tex]
The number of members in an organization, M, changes as a function of t months. In which situation is M a linear function of t?
Answer: d
Step-by-step explanation:
The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months
What’s the range of this graph?
Answer:
(5, negative infinity)
Which number line shows that point A is 4 units from 0?
Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer
Answer:
Step-by-step explanation:
hello :
the first graph : 1 and -1 at second ; 2
Six students were asked to list their math quiz scores. Their responses are listed below
Student
Adam
Buford
Carla
Daridjan
Quiz Scores
60, 80, 80, 92
70, 75, 80, 85, 90
55. 72, 80
80, 80, 85, 90, 90
70, 72, 78, 82, 90,
92
Edna
Fran
75, 77, 88
Which of the following students had a median quiz score of 80? Select all that apply.
Carla
O Edna
Fran
оооо
C
Buford
C
Adam
Daridjan
Answer:
Adam and buford
Step-by-step explanation:
Answer:
adam and buford
Step-by-step explanation:
Please, please help me!
Answer:
X in.
Step-by-step explanation:
help ASAP with working if possible
Answer:
1. The volume of the cylinder is approximately 0.153 m³
2. 25 cm
3. [tex]25.\overline 6 \ cm[/tex]
4. 16 m
5. 1,785 m³
Step-by-step explanation:
The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid
1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top
The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m
The area of the circular cross-section, A = π·d²/4
∴ A = π × 0.5²/4 = 0.0625·π
A = 0.0625·π m²
The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m
∴ The volume of the cylinder, V = A × h
∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153
The volume of the cylinder, V ≈ 0.153 m³
2. The given volume of the trapezium, V = 8550 cm³
The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively
The height of the trapezium from the diagram, h = 18 cm
The cross-sectional area of the trapezium, 'A', is found as follows;
A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²
The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium
∴ l = V/A
By substitution, we have;
l = 8550 cm³/(342 cm²) = 25 cm
∴ The Missing Length, l = 25 cm
3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³
The area of the (uniform) cross-section of the solid, A = 15 cm²
∴ The length of the solid, 'l', from V = A × l, is given as follows;
l = V/A
∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm
The length of the solid, l = 25.[tex]\overline 6[/tex] cm
4. From the diagram, we have;
The cross-sectional area of the solid, A = 216 m²
The length of the solid, l = 16 m
5. The cross-section of the solid can can be assumed to be either;
1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.
2. A triangle located above a rectangle
For scenario one, we have;
The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25
For scenario two, we find 'A' as follows;
A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25
∴ The cross-sectional area of the solid, A = 89.25 m²
The length, 'l', of the solid, is given as l = 20 m
The volume of the solid, V = A × l
∴ V = 89.25 m² × 20 m = 1,785 m³
The volume of the solid, V = 1,785 m³.
help appreciated:)
ty ! giving brainliest
Answer:
2 cake recipes
Step-by-step explanation:
Count the number of Xs in between 1 1/8 and 1 5/8.
Answer:
2
Step-by-step explanation:
There are 2 crosses between those two numbers on the graph
A rectangular portrait is 4 feet wide and 4 feet high. It costs $9.00 per foot to put a gold frame around the portrait. How much will the frame cost?
Answer:
$144
Step-by-step explanation:
perimeter = 4 + 4 + 4 + 4 = 16 feet
16 x 9 = $144
The perimeter of an equilateral triangle with side length x - 3 can be represented by the expression 3(x - 3) and the perimeter of a square with side length 2x + 1 can be represented by the expression 4(2x + 1). Which of the following expressions represents the total perimeter of the two shapes? Your answer 11x + 5 11X-5 5x + 13 3x-2
A:11× + 5
B:11×-5
C:5×+13
D:3×-2
answer for brainilest and 11 points
Answer:
-16/3
Step-by-step explanation:
I am not sure if you are aware of this but I am not sure if you are aware of the fact
What is the standard form of a trinomial?
Answer:
ax2 + bx + c
Step-by-step explanation:
the 2 is the square
Find the perimeter and area of the rhombus.
answer:
perimeter- 12 units
area- 4.5 units
step-by-step explanation:
perimeter-
p=4a
=4*3
=12
area-
a=pg/2
=3*3/2
=4.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
I need help please...
Answer:
i think your answer would be $38.60
Step-by-step explanation:
i hope its right
Barry is saving up to put new tires on truck the tires will cost 860 he has 180 plans to save 68dollars a week how many weeks will it take to save his money
Answer:
167.36 weeks
Step-by-step explanation:
Given: Currently has $180, the cost is $860, and he plans to save $68 a week
To find: How many weeks will it take to save his money
Solution: If Barry currently has $180 and needs $860 for his tires also saves $68 a week, divide the amount he wants to save by the amount he saves a week, to find how many weeks will it take to save his money
860 ÷ 68 = 12.64
Subtract 180 because he already has $180 saved currently
180 - 12.64 = 167.36
Hence, it will take approximately 167 weeks to save his money up to $860
During Christmas sale, a local store in Virginia has marked all items 20% off. George Walker bought a microwave that normally sells for $100 and a refrigerator that usually goes for $250. Calculate the total sale price.
Answer:
it looks like the answer to this problem is $280.
Step-by-step explanation:
i got this answer because you add $100 and $250 together. You will get $350. Then you take 20% of that total. So, 20% of 350 is 70. Now take 350-70, which = 280. and that should be your final answer.
Simplify the following expression.
4(3x+6)-(5x-9+2k)
Answer:
−2k+7x+33
Step-by-step explanation:
3. Here are diagrams that represent 0.137 and 0.284.
tenths
hundredths
thousandths
a. Use the diagram to find the value of. Explain your reasoning.
b. Calculate the sum vertically.
0.1 3 7
0.2 8 4
+
On a bicycle ride,Betty rode 7 miles in 2 hours. At the same rate of speed,how far could she ride in 8 hours?Please hurry
A.14 miles
B.16 miles
C.20 miles
D.28 miles
E.56 miles
Mrs. Rogers' sister is two years older than Mrs. Rogers. Their combined ages add up to 88. How old is
Mrs. Rogers?
A tree grew 92 4/5 feet in 19 1/3 years. What was the average yearly growth rate of the tree
Answer:
4 247/290 or 4.85 ft/year
Step-by-step explanation:
93 4/5 ÷ 19 1/3 = 469/5 ÷ 58/3 = 469/5 x 3/58 = 1407/290 = 4 247/290
I need help ASAP how do I do this
A triangle has sides with lengths of 47 inches, 27 inches, and 36 inches. Is it a right triangle?
Answer:
No because one side would have to be 54 in order for it to work
Step-by-step explanation:
the area is 634 and the perimeter is 128 so that would mean that one side would need to be 54
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a spade.
The probability of being dealt a spade is
Answer:
The probability of being dealt a spade is 13/52.
Step-by-step explanation:
