Answer:
f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123
Step-by-step explanation:
Here, we simply will place g(x) into f(x)
So every x in f(x) is replaced by g(x)
Thus, we have;
(x^2 + 6x + 11)^2 + 2
= (x^2+6x-11)(x^2 + 6x -11) + 2
= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2
= x^4 + 12x^3 + 14x^2 -132x + 123
Al, Tom and Joe share €3000.
The ratio of the amount Al gets to the amount Tom gets is in the
ratio 5:4
Joe gets 1.5 times the amount Tom gets.
Work out the amount of money that Tom gets.
Answer:
Tom's share = €800
Step-by-step explanation:
Given that:
Amount shared by Al, Tom and Joe = €3000
Ratio of Al's share to Tom's share = 5 : 4
Joe's share = 1.5(Tom's share) = 1.5(4) = 6
Therefore,
Ratio of Al, Tom and Joe = 5 : 4 : 6
Let,
x be the number of times of amount each get.
5x + 4x + 6x = 3000
15x = 3000
Dividing both sides by 15
[tex]\frac{15x}{15}=\frac{3000}{15}\\x=200[/tex]
Tom's share = 4x = 4(200) = €800
Hence,
Tom's share = €800
What is a solution to a system of equations?
A) where the line crosses the x-axis
B) Where the lines cross.
C) when 2 lines never cross
D) Where an x and y is true for 2 equations.
How much more money is needed to make $10?
?
$5.95
$10
what is the value for the variable?
8^a = 1
Answer:
A=1
Step-by-step explanation:
Because A would stand for a variable and a variable would equal to 1
A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attracting much attention from the many visitors to the city of Paris. A tourist is standing at ground level, 54 meters across from the Eiffel Square, aiming her binoculars at the nest. At what angle should she set her binoculars in order to see the next? Round your answer to the nearest tenth of a degree.
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
Two planes leave an airport at the same time. Each flies at a speed of 110 mph. One flies in the direction N 60° E. The other flies in the direction S 40^ E How far apart are the planes after 3 hours?
P.S. We are doing the law of sine
PLEASE ANSWER WUICK I NEED IT I WILL MARK BRAINLIEST
Answer:
14/5
Step-by-step explanation:
2/5 x 7/1
Answer:
14/5
Step-by-step explanation:
A bug crawls at a rate of 2 feet per minute. How long will it take the bug to crawl 24 feet? *
48 minutes
12 minutes
1 hour
16 minus
Find the square of 111 base two give ur answer in basetwo
Answer:
b is the correct answer
Step-by-step explanation:
(
111
t
w
o
)
2
=
(
111
t
w
o
)
(
111
t
w
o
)
=
1
×
2
2
+
1
×
2
1
+
1
×
2
0
=
4
+
2
+
1
=
7
t
e
n
(
111
t
w
o
)
2
=
7
×
7
=
49
2
49
2
24
R
1
2
12
R
0
2
6
R
0
2
3
R
0
2
1
R
1
0
R
1
↑
=
110001
2
A student is saving money to buy a DVD player. The student currently has $25 and plans to save $20 every month. Write a function that represents the amount y
(in dollars) of money that the student saves after x months.
y=
Answer:
y=25+20x
Step-by-step explanation:
Madeline wants to plant some oregano in a cube-shaped planter box. If one side of the box measures 9 inches, how much soil will be needed to fill the planter?
Meyer used 8 loads of gravel to cover 2/5 of his driveway. How many loads of gravel will he need to cover his entire driveway?
Answer:Meyer uses 2.5 loads
Step-by-step explanation:Why does he use 2.5? Because, he has 8 loads and with 1 load he covers 2/5 of his driveway so 2 loads covers 4/5 and 2.5 loads cover 5/5 of his driveway
Someone plz help me this is urgent!
Answer:
5^12
Step-by-step explanation:
When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.
Answer:
1250
Step-by-step explanation:
5 times 5 times 5
What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form. (Will Get Brainliest Answer Also)
Answer:
Step-by-step explanation:
area of the triangle
A=1/2 *b*h
A=1/2*2/5*6/5=6/25
1/2x + 3 = x + 5 what is the first step?
Answer:
The first thing to do when solving an algebraic equation is the isolate the variable. Thus, simply subtract 1/2x from both sides of the equation and subtract 5 from both sides to get [tex]-2=\frac{1}{2} x[/tex]
!!PLEASE HELP ME!!
Which of the following is the product of the rational expressions shown below?
Answer:
(3x^2+6x)/(x^2-16)
Step-by-step explanation:
When multiplying fractions you just go straight accross
this means that our fraction is equal to
((x+2)(3x))/((x-4)(x+4))
The numerator is quite easy 3x(x+2)=3x^2+6x
The second one is a little tough at first and if you need help I would reccomend using khan academy
but pretty much you get x^2-16
put them together and get your answer
what's the answer?
x + 7 + 2 × x + 3 = 40
Answer:
x=10
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please help! It’s my maths work
Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation One-third x + one-fourth x + x = 57models the scenario, how many books does Lindsay own?
12
18
36
48
Answer: 12
Step-by-step explanation:
Increase £101 by 16%
Give your answer rounded to 2 DP.
Answer:
117.16
Step-by-step explanation
16% and add it to 100% then convert it to its decimal place so you have 1.16
1.16 X 101 = £117.16
The scale of a map is 2 cm:15 kom. Find the actual distance for each map distance.
1. 6cm 2.5 cm 3. 13.2 cm
Answer: 6 cm is 45 km
5 cm is 7.5 km
Step-by-step explanation:
Use the determinant of the coefficient matrix to determine which of the following linear systems have unique solutions.
Answer:
Options A, B.
Step-by-step explanation:
Egde 2021
Answer:
1, AND 2
Step-by-step explanation:
EDG 21
someone please help me
Answer:
18
Step-by-step explanation:
I did that in my head could be wrong
Millie expected 20 friends to show up to her birthday party, but 24 attended. What was
her percent error? Round to the nearest percent.
Answer:
Her percent error was: ≈ 17% (whole percent)
Step-by-step explanation:
Given
Approximate value = 20 friends
Exact Value = 24 friends
To determine
Percent error
Using the formula to calculate the Percent error
Percent error = | Approximate Value| - Exact Value | / | Exact value | × 100
= | 20 - 24 | / | 24 | × 100
= | - 4 | / | 24 | × 100
Apply absolute value: |-a| = a, a>0
= 4/24 × 100
= 16.67 %
≈ 17% (whole percent)
Thus, her percent error was: ≈ 17% (whole percent)
Jackson is two times older than Shelly. If the sum of their ages is 18, how old is Jackson?
Answer:
Jackson is 12 and Shelly is 6.
Step-by-step explanation:
Since we know Jackson is two times older than Shelly, it only makes since for our answer to be 12.
to find this you can make two circles and add dashes in each until you reach 18, but add 2 to Jackson to each 1 you put for Shelly.
what is the length of AC
Answer:
12 units
Step-by-step explanation:
[tex]\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units[/tex]
What is the total volume of all four lockers if one side of a locker is 2 feet long?
Answer:
32ft³
Step-by-step explanation:
Let the shape of the locker be cubic in nature.
Volume of a cube = L³
L is the side length of one of the lockers
Volume of four lockers = 4L³
If one side of the locker is 2feet long, then L = 2ft
Substitute into the formula;
Volume of four lockers = 4(2)³
Volume of four lockers = 4(8)
Volume of four lockers = 32ft³
Hence the total volume of all four lockers is 32ft³
To solve the problem we will calculate the volume of a single locker first.
The volume of the 4 lockers is equal to 32 ft³.
Given to us
one side of a locker is 2 feet long
Assumpting that the locker is of cube shape.
Length of the side of a LockerAs it is given that the side of the locker is 2 feet long, and we know that all the sides of a cube are of the same length, therefore, the length of the side of the cube is 2 feet.
What is the volume of the Locker?We know that the shape of the locker is cubic in nature, therefore,
The volume of the locker = Volume of the Cube
= (Side of the cube)³
= (2)³ = 8 ft³
Thus, the volume of a cubic locker is 8 ft³.
What is the volume of 4 such lockers?We have already calculated the volume of a locker, therefore, the volume of 4 such lockers will be 4 times the volume of a locker,
The volume of 4 lockers = 4 x volume of a lockers
= 4 x 8 ft³
= 32 ft³
Hence, the volume of the 4 lockers is equal to 32 ft³.
Learn more about Volume:
https://brainly.com/question/1578538
b The value of 3 in 38.65 is 3 tens.true or false
yes that is true
hope that helped
plz help me out. branliest whoever gets it right
Answer:
True!
Step-by-step explanation:
If an object travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality. The circumference of a circle is directly proportional to its diameter, with the constant of proportionality equal to π.
what is the solution to the equation?
5(x - 2) - 3x = 6x + 26
Answer is -9
5(x-2)-3x=6x+26
or,5x-10-3x=6x+26
or,5x-3x-10=6x+26
or,2x-10=6x+26
or,2x-6x=26+10
or,-4x=36
or,x=36/-4
or,x=-9 proved
