Answers
ANSWER
[tex](f\circ g)(x) = - 8 {x}^{2} + 4[/tex]
EXPLANATION
Given f(x)=-8x+4
and
g(x)=x²
We want to find find an expression for;
[tex]
(f\circ g)(x) = f(g(x))[/tex]
[tex]
(f\circ g)(x) = f( {x}^{2} )[/tex]
We substitute x² into f(x)=-8x+4
This will give us:
[tex]
(f\circ g)(x) = - 8 {x}^{2} + 4[/tex]
Related Questions
help please!!! thank u!
Answers
Answer:
99
Step-by-step explanation:
The perimeter is increased by a factor of 3. The formula for perimeter is
New Perimeter = scale factor * original perimeter.
Area is a different matter. It is
New area = (scale factor)^2 * old area
Givens
old area = 11
Solution
New Area = 3^2 * 11
New area = 9 * 11
New area = 99
What is 15 1/2 divided by 2 1/5
Answers
Answer:
6 1/5
Step-by-step explanation:
Answer:
Mixed Number Form: 7 1/22
Decimal Form: 7.045 repeating
Exact Form: 155/22
Hope this Helps!
which of the following are square roots of the number below? check all that apply.
400
A) 400^1/2
B) 40
C) -20
D) 10
E) 20
F) -400^1/2
Answers
Answer:
A)400^1/2
E)20
C)-20
F)-400^1/2
Final answer:
The square roots of 400 are represented by A) 400^1/2, C) -20, and E) 20. These correspond to the positive and negative values that, when squared, result in 400. Options B) 40, D) 10, and F) -400^1/2 do not square to 400 and are therefore incorrect.
Explanation:
To find the square roots of the number 400, we look for numbers that when multiplied by themselves will equal 400. The square root of a number can be both positive and negative since both will square to give the original number.
Option A (400^1/2) represents the principal square root of 400, which is found by raising 400 to the power of 0.5. This is equal to 20, so option A is correct.
Option B (40) is not a square root of 400 because 40 * 40 equals 1600, not 400.
Option C (-20) is the negative square root of 400 because (-20) * (-20) equals 400, so option C is correct.
Option D (10) is incorrect because 10 * 10 equals 100, not 400.
Option E (20) is the positive square root of 400, so this is correct.
Option F (-400^1/2) is the negative principal square root of -400. Since 400 is positive, this option is not applicable, so option F is incorrect.
Therefore, the correct square roots of 400 from the given options are A) 400^1/2, C) -20, and E) 20.
Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 8x + 6 A) minimum value at 8 B) maximum value at 10 C) minimum value at −14 D) minimum value at −10
Answers
Answer:
[tex]\large\boxed{\text{ D) minimum value at -10}}[/tex]
Step-by-step explanation:
[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\ y=x^2+8x+6.\\\\a=1>0,\ \text{the parabola is o}\text{pen up.}\\\text{Therefore the function has the minimum in vertex}\\\\x^2+8x+6=x^2+2(x)(4)+6=x^2+2(x)(4)+4^2-4^2+6\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(4)+4^2=(x+4)^2\\\\y=(x+4)^2-16+6=(x+4)^2-10\to\text{vertex}\ (-4,\ -10).[/tex]
To determine the minimum value of the quadratic function x^2 + 8x + 6, we complete the square to get the expression (x + 4)^2 - 10 = 0. The function has a minimum value at (x, y) = (-4, -10), so the correct answer is D) minimum value at -10.
Explanation:To find the maximum or minimum value of the quadratic function given by the expression x2 + 8x + 6, we need to complete the square. First, we will write the quadratic in the form of (x + h)2 + k, where h and k are constants.
The coefficient of x is 8. We take half of it, which is 4, and square it to get 16. Now add and subtract this square inside the quadratic expression:
x2 + 8x + 16 - 16 + 6 = 0
Now, group the perfect square trinomial and write it as a square of a binomial:
(x + 4)2 - 10 = 0
To find the minimum value, we set the squared term equal to zero, since the minimum value of a square is zero. As such, (x + 4)2 reaches its minimum value when x = -4, and the overall minimum value of the function is when k = -10. Because this is a quadratic with a positive leading coefficient, the function has a minimum value, not a maximum.
Therefore, the correct answer is D) minimum value at -10.
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Select the correct product.
(x 2 + 4x + 8)(2x - 1)
Answers
Answer:
[tex]\large\boxed{(x^2+4x+8)(2x-1)=2x^3+7x^2+12x-8}[/tex]
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](x^2+4x+8)(2x-1)\\\\=(x^2)(2x)+(x^2)(-1)+(4x)(2x)+(4x)(-1)+(8)(2x)+(8)(-1)\\\\=2x^3-x^2+8x^2-4x+16x-8\qquad\text{combine like terms}\\\\=2x^3+(-x^2+8x^2)+(-4x+16x)-8\\\\=2x^3+7x^2+12x-8[/tex]
Answer:
The correct answer
(x² + 4x + 8)(2x - 1) = 2x³ + 7x² + 12x - 8
Step-by-step explanation:
It is given that, (x² + 4x + 8)(2x - 1)
Points to remember
xᵃ * xᵇ = xᵃ⁺ᵇ
To find the product
(x² + 4x + 8)(2x - 1) = [(x²*2x) + (4x *2x) (8*2x)] - [x² + 4x + 8]
= 2x³ + 8x² + 16x - x² - 4x -8
= 2x³ + 8x² - x² + 16x - 4x -8
= 2x³ + 7x² + 12x - 8
what is 2x + 10 = 20
Answers
Hey there!
2x + 10 = 20
x = 5 so 2 x 5 = 10 + 10 = 20
Therefore, x = 5
Hope this helps you!
God bless ❤️
Brainliest would be appreciated
xXxGolferGirlxXx
Rachel likes to read books. She records the number of books she read over a period of 5 weeks. The set of ordered pairs below gives the details, where the x-coordinate is the number of weeks since she starts recording and the y-coordinate is the number of books she read each week.
Which of the following describes the set of ordered pairs?
A. both a relation and a function
B. a function only
C. neither a function nor a relation
D. a relation only
Answers
Answer:
A. both a relation and a function
Step-by-step explanation:
The given set of ordered pairs is
{(1,2),(2,3),(3,1),(4,4),(5,2)}.
This ordered pairs represent a relation.
The x-coordinates represent the domain and the co-domain or range is the set of the y-coordinates.
The relation is many-to-one relation.
All many-to-one relations are functions.
The correct choice is A.
PLEASE ANSWER WILL MARK BRAINLIEST
carlos and maria are outside flying a kite. carlos has let 40 feet of string out for the
kite which is flying directly over maria. how high above maria is the kite
Answers
Answer:
should be about 35 but i dunno for sure because i don’t know how tall maria is
help plz explain how to do this.
Answers
Answer:
1/3
Step-by-step explanation:
Two years ago, Paul bought $350 worth of stock in a cell phone company. Since then the value of his stock has been increasing at an average rate of 9 % per year . How much is the stock worth now?
Answers
The stock is now worth $415.84 .
Answer: The difference for the annual 9% increase is 31.5 The answer is $413.
Step-by-step explanation:
Since Paul bought his stock two years ago, the total difference is $63. 350+63=$413.
what is the solution of the following equation? 3x+9=27
Answers
Answer:
x=6
Step-by-step explanation:
first you subtract 9 from 27, getting 18.
then you divide 18 by 3, which gives you 6.
therefore, X=6
Answer:
6
Step-by-step explanation:
3x+9=27
-9
3x=18
divide 18 by 3
x=6
Gabriella uses 8.4 pints of white paint and blue paint to paint her bedroom walls.
2/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:
8
Step-by-step explanation:
covert 8.4 into a fraction which would be 42/5
then subtract 42/5 from 2/5 and youll get 8
Final answer:
To calculate the amount of blue paint Gabriella used, multiply 8.4 pints by 2/5 to determine the white paint, and then subtract this from the total, resulting in 5.04 pints of blue paint.
Explanation:
Gabriella uses a total of 8.4 pints of paint to paint her bedroom walls, with 2/5 of this amount being white paint. To find out how many pints of blue paint she used, we first need to determine the amount of white paint and then subtract that from the total.
Multiply the total amount of paint by 2/5 to find the white paint: 8.4 pints imes 2/5 = 3.36 pints (white paint).
To find the blue paint, subtract the white paint from the total paint: 8.4 pints - 3.36 pints = 5.04 pints (blue paint).
Therefore, Gabriella used 5.04 pints of blue paint to paint her bedroom walls.
What is the simplified form of the following expression?
I NEED THIS ASAP
Answers
C is your way to go!!!!!!! ;D
What are the possible outcomes of randomly choosing one of the tiles shown?
Answers
The possibility of randomly choosing one of the tiles is 1/9
At the airport, ten people are waiting on standby. Two seats become available, one first class and one coach. How many ways are there to fill the two seats?
10
20
45
90
Answers
Answer:
Last Option
Step-by-step explanation:
We have 10 people and two seats. Then we must choose 2 people out of 10 to occupy the seats.
The seats are different so the order in which people feel is important.
This is a problem of permutations
For the first seat I must choose a person of between 10.
For the second seat I must choose a person from 9.
So, if we call m the number of ways in which you can assign the seats:
[tex]m = 10*9\\\\m = 90[/tex]
Answer:
90
Step-by-step explanation:
The code to unlock a safety deposit box is three consecutive odd integers whose sum is 75. Find the integers
Answers
Answer: The integers are 23, 25, and 27
Step-by-step explanation:
Call the first integer n, and then the next two odd ones are n + 2 and n + 4.
Add them together to get 75:
n + n+ 2 + n + 4 = 75
which becomes 3n + 6 = 75
so 3n = 69, and n is therefore 23. n + 2 = 25, and n + 4 = 27.
The three consecutive odd integers whose sum is 75 are 23, 25, and 27. These are determined by forming an equation with the first odd integer as 'x' and the other two as 'x+2' and 'x+4', respectively, since consecutive odd numbers differ by 2.
The task is to find three consecutive odd integers whose sum is 75. To solve this, we can represent the three consecutive odd integers as x, x + 2, and x + 4. Since the sum of these integers is 75, we can set up the following equation: x + (x + 2) + (x + 4) = 75.
Simplifying the equation we get:
3x + 6 = 75
3x = 69
x = 23
Now we have our first integer x = 23. The next consecutive odd integer would be x + 2 which is 25, and the third one would be x + 4 which is 27. Therefore, the three consecutive odd integers that sum up to 75 are 23, 25, and 27.
Order from least to greatest 0.14,1/8,1.9%
Answers
Answer: 1/8,1.9,0.14
Step-by-step explanation:
Answer:
0.019 (1.9%), 0.14, 0.125 (1/8)
Step-by-step explanation:
What is the solution to the inequality -4x < 8? x < -24 x > -24 x < -2 x > -2
Answers
Answer:
x > -2
Step-by-step explanation:
Solve the inequality -4x < 8 using inverse operations. If you divide or multiply by a negative, flip the inequality sign.
[tex]-4x < 8\\\\\frac{-4x}{-4} < \frac{8}{-4}[/tex]
x > -2
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. PLS HELP WORTH 50 POINTS!!!!!
Length (cm) Width (cm)
6 ?
9 36
? 48
15 ?
Answers
i think they were multiplying each by 4. so 6x4 would be 24. and 12x4 = 48, then 15x4= 60. so i believe the blanks are 24,12,60.
Answer:
x y
6 24
9 36
12 48
15 60
Step-by-step explanation:
We need to find the rate of change in the table.
Lets start with the x-values.
6 to 9?
9 - 6 = 3
So, the rate of change in the x-value is 3
9 to 3 is 12
12 to 3 is 15
Now let's go onto the y-values.
We don't know the first number, so let's move to the next number, 36.
36 to 48?
48 - 36 = 12
Therefore, the rate of change in the y-value is 12
So, let's work backwards to find the first number.
36 - 12 = 24
48 + 12 = 60
Another easier way you could do it (really simple).
9 times what is 36?
9 x 4 = 36, right?
So, the change of rate is 4
So multiply everything in the x column by 4.
6 x 4 = 24
15 x 4 = 60
Since we don't have one the x value for 48, divide it by 4 which is 12
Voilà ;)
What is the rate for $33.00 for 11 pounds of meat
Answers
divide 33/11 and it would give you 3 because your finding the rate of 11 pounds of meat hope it helps
To calculate the rate per pound for $33.00 worth of meat at 11 pounds, divide the total cost by the total weight, giving a rate of $3.00 per pound.
Explanation:The question is asking to calculate the rate per pound for $33.00 worth of meat when 11 pounds of meat are bought. To find the rate, we divide the total cost by the total weight in pounds. The rate is the cost of one pound of meat.
Here's the step-by-step calculation:
Determine the total cost of the meat: $33.00.Determine the total weight of the meat: 11 pounds.Divide the total cost by the total weight to find the rate per pound: $33.00 ÷ 11 pounds = $3.00 per pound.Therefore, the rate for $33.00 for 11 pounds of meat is $3.00 per pound.
Which scenario is modeled by the equation (x)(0.6)=$86.46?
Answers
Answer:
A picnic table is on sale for 40% off. The original price of the picnic table is
x = $144.10
Step-by-step explanation:
If we have a 40% sale, that means
The price of the product will be its original price minus 0.4 multiplied by the original price
New price = (x) - 0.4*(x)
New price = 0.6*(x)
If the original price was $144.10
New price = 0.6*$144.10 = $86.46
Answer:
x=144.10
Step-by-step explanation:
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
rewrite as an exponential function
ln9=y
Answers
To rewrite the expression ln(9) = y as an exponential function, we can use the inverse relationship between logarithmic and exponential functions.
Explanation:To transform the logarithmic equation ln(9) = y into an exponential form, recall the fundamental logarithm property: ln(x) = y can be expressed as e^y = x when using base 'e'. Applying this principle to our equation, ln(9) = y becomes e^y = 9. This represents the exponential function equivalent of the original logarithmic equation, where y is the exponent that, when applied to the base 'e', yields the result of 9. This conversion helps us understand the relationship between logarithmic and exponential expressions.
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I will mark you brainliest!
Answers
Answer:
Rate = 10%
Step-by-step explanation:
We are given with the following details.
Interest earned = $ 116.25
Principal = $ 1550
Interest Rate = r (say)
Time = 9 months
= [tex]\frac{9}{12} years[/tex]
We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .
The formula for simple interest is given as
[tex]Interest = Principal \times Rate \times time [/tex]
[tex]116.25=1550 \times r \times \frac{9}{12}[/tex]
[tex] r= \frac{116.25 \times 12}{1550 \times 9}[/tex]
r=0.1
Hence the r = 0.1
Hence the rate of interest is 10%
The back of mangled angles
Answers
Answer:
what do you want me to do?
Step-by-step explanation:
Write the letter of the largest number (below): _____
A. 0.9837 B. 2/165 C. 4 x 10-5 D. 23
Answers
Answer:
C.
Step-by-step explanation:
4x10 = 40 - 5 = 35.
35 is bigger than 23,
35 is bigger than 0.9837
and 35 is also bigger than 2/165, therefore 35 is the largest number.
solve -37 + n equals -56 for n
Answers
Simplifying
-37 + n = -56
Solving
-37 + n = -56
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '37' to each side of the equation.
-37 + 37 + n = -56 + 37
Combine like terms: -37 + 37 = 0
0 + n = -56 + 37
n = -56 + 37
Combine like terms: -56 + 37 = -19
n = -19
Simplifying
n = -19
Answer:
N=-19
Step-by-step explanation:
Just add 37 to bot sides
PLZ PLZ ✨✨✨✨ HELP WILL GIVE BRAINLIEST
Answers
Answer:
The answer is 90 cm cube
Step-by-step explanation:
V=Bh
B=lw
B=7.5cm x 4cm
B= 30 cm
H= 3cm
30cm x 3cm = 90cm
V= 90cm cube
Hopes this helps!
What is the solution to x in -6x+7>1
Answers
Answer:
Step-by-step explanation:
Hello
7>1+6X
6>6X
x<1
Best regards
What is 3 ÷ 538? I'm having a bit of trouble
Answers
Answer:0.00929368029
Step-by-step explanation:
Answer:
0.00557620817
Step-by-step explanation:
Which order pair is a solution of this equation? -3x-7y=4
Answers
Answer:
(-6,2)
Step-by-step explanation:
An ordered pair is a solution if when substituted it makes the equation true. If when you substitute, it does not make the equation true then it is not a solution.
-3x - 7y = 4
Substitute:
-3(-5) - 7(2) = 4
15 - 14 = 4
1 = 4 FALSE
-3(2) - 7(-5) = 4
-6 + 35 = 4
29 = 4 FALSE
-3(2) - 7(-6) = 4
-6 + 42 = 4
36 = 4 FALSE
-3(-6) - 7(2) = 4
18 - 14 = 4
4 = 4 TRUE