Answer: \(-8x^2 -40x-50\)
Step-by-step explanation:
\(h(g(f(x))\\\\=h(g(2x+5))\\\\=h((2x+5)^2)\\\\=h(4x^2 +20x+25)\\\\=-2(4x^2 +20x+25)\\\\=-8x^2 -40x-50\)
The value of the composite function h(g(f(x))) = -8x² - 40x - 50.
We have,
To find the composition h(g(f(x))), we need to substitute the function g(f(x)) into h(x) and simplify.
Given:
f(x) = 2x + 5
g(x) = x²
h(x) = -2x
First, we find g(f(x)) by substituting f(x) into g(x):
g(f(x)) = g(2x + 5) = (2x + 5)² = (2x + 5)(2x + 5) = 4x² + 20x + 25
Now, we substitute g(f(x)) into h(x):
h(g(f(x))) = h(4x² + 20x + 25) = -2(4x² + 20x + 25) = -8x² - 40x - 50
Therefore,
The value of the composite function h(g(f(x))) = -8x² - 40x - 50.
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Is the first number a factor of the second 18,128
Answer:
100
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
it is the first and least number/factor of 18 and 128
In a systematic random sample of size n drawn from a population of size N, how many random numbers need to be generated to identify those subjects who are included in the sample
A systematic random sample is obtained by choosing a random starting point and then selecting every kth individual from a population to participate in the study. The number of random numbers that must be produced to recognize individuals who are part of the sample is determined by the following formula:n/k is the number of random numbers required to identify the sample population of size n drawn from a population of size N by systematic random sampling.
To provide an example, consider a population of size N= 1000 and a sample of size n= 50. Assume that we must use systematic random sampling with a k=20. The population should be numbered, and the first random number between 1 and 20 is selected. The kth person after the first random number is chosen. This process is repeated for the entire population, with every kth person included in the sample. The number of random numbers generated would be 1000/20= 50. Therefore, to obtain a sample of 50 individuals, we must generate 50 random numbers to recognize each individual who will be included in the sample.
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Express in simplest radical form.
square root of 20
Answer:2 square root 5
Step-by-step explanation:
PLEASE HELP WITH ONE I NEED THE WORK FOR IT!! 20 POINTS AND BRAINLIEST
Answer:
too blurry
Step-by-step explanation:
Answer:
1. Missing length-8.48528137424
2. Missing length- 13.9283882772
3. Missing length-17.3205080757
4. Missing length- 14.7986485869
PLEASE HELP WILL GUVE BRAINLIEST!!!!!!
Mateo is on the track team and he competes in the 1,500-meter run. For each track meet, he
sets a goal of beating his fastest training time of the week by 4 seconds. Let t be Mateo's
fastest time of the week and g be his goal time for the next meet.
Answer:
G=t-4
Step-by-step explanation:
because he wants to do 4 less than his time so its gonna equla his goal once he get there
Hope it might help
please help!
What is/are the vertical asymptote(s) of the function?
y=3x+6x2+2x-35
Answer:
I don't think there would be any asymptotes because there are no denominators.
Step-by-step explanation:
the weights of bags of cement are normally distributed with a mean of 53 and a standard deviation of 2 a. what is the likelihood that a randomly selected individual bag has a weight greater than 50
The likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%
When dealing with normally distributed data, we use the mean and standard deviation to determine the likelihood of certain events occurring. In this case, the mean weight of bags of cement is 53 with a standard deviation of 2.
To find the likelihood that a randomly selected bag has a weight greater than 50, we need to calculate the z-score for 50. The z-score tells us how many standard deviations away a particular value is from the mean.
z = (X - μ) / σ
where X is the value we're interested in (50), μ is the mean (53), and σ is the standard deviation (2).
z = (50 - 53) / 2 = -1.5
A z-score of -1.5 means that a weight of 50 is 1.5 standard deviations below the mean. To find the likelihood of a bag weighing more than 50, we can use a z-table or a calculator to find the area to the right of this z-score.
Looking up a z-score of -1.5, we find that the area to the left is approximately 0.0668, which means the area to the right (the likelihood of a bag weighing more than 50) is:
1 - 0.0668 = 0.9332
Thus, the likelihood that a randomly selected bag of cement weighs more than 50 is approximately 93.32%.
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If x°, 75°, 105° and 80° are the angles of a quadrilateral, find the size
of x°.
one number is four more than a second number. two times the first number is 2 more than four times the second number. what are the two numbers?
The two numbers are 6 and 2.
Let's assume the first number is x and the second number is y.
From the first statement, we can write the equation x = y + 4.
From the second statement, we can write the equation 2x = 4y + 2.
Now, we can substitute x in terms of y from the first equation into the second equation:
2(y + 4) = 4y + 2
Simplifying this equation, we get:
2y + 8 = 4y + 2
2y = 6
y = 3
Substituting y = 3 in the first equation, we get:
x = y + 4 = 3 + 4 = 7
Therefore, 6 and 2 are the two numbers,
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help :> explain how you did it * quick*
Answer:
answer AStep-by-step explanation:
Because this figure is dilated by the factor of 3 we can infer that the figure before dilation was 3 times bigger than the figure now.
so is AC is 5 now then AC before must have been 15
5*3=15
If the angle of A is 37 now then it must have been 111
37*3=111
I'm not 100% sure about this but I hope it helped :)
Answer:
Hey you once commented on the question if you knew horsleyjaydyn and you said something about her being fake could tell me what you said she was old something don't remember
Step-by-step explanation:
Complete the statement. Round to the nearest hundredth if necessary.
14 m to ft
(the answer is not 45.93)
What is the slope of the line through (0,-1) and (2,3)?
Using the numbers 5. 8. and 24, create a problem using no more than four operations (addition,
subtraction, multiplication, division, square, square root, cube, cube root) where the solution
will be an irrational number. Explain why the result of your operations is an irrational number
Please help!!!!!……………….PLEASEHELPPPP
Answer:
X is equal to 108 degrees
Answer: 108
Step-by-step explanation:
the flat line means 180 degrees so subtrct 72 from 180 and get 108°
43. At the beginning of the month, Emika had $24 in her school cafeteria account. The table below
shows how her account balance changed over the course of three weeks. (Positive change means
money she added into her account, while negative change means money she spends.)
1.
2
Week
1
2
3
Beginning
Balance
($)
24
8
-18
Final
Balance
($)
8
-18
Change
($)
16
26
-12
Expression to show your work
24-16 = 8
8-26-18
-18--12-6
Complete the table for weeks 2-3.
How much would Emika have to deposit into the account during week 4 so that the final
balance is positive?
Answer:
$6
Step-by-step explanation:
Week 4 Beginning Balance: -6
Final Balance: ?
Change: ?
Emika would need to deposit at least $6 into her account during week 4 in order for the final balance to be positive.
Plz help I’m desperate
Answer:
Step-by-step explanation:
f(-2)=5
Since Pemdas is used, taking care of that x is squared before multiplying -3 to make sure you don't mess up the signs.
Enjoy your day love <3
Select the correct answer.
Solve the following inequality for x.
-26 + 13z + 2 > 2 132
O A. X<2
X2-1
OB.
O C.
X>1
OD. x < -2
z >1 for the given inequality for x.
To solve the following inequality for x.
-26 + 13z + 2 > 2 132
Since there is no x in this I'm assuming we are looking for z
Step 1: Simplify both sides
15r - 26 > -13z + 2
Step 2: Add 13z to both sides
15r - 26 + 13z > -13z + 2 + 13z
28 - 26 > 2
Step 3: Add 26 on both sides
28 - 26 + 26 > 2 + 26
28z > 28
Step 4: Divide both sides by 28z / 28 > 28 / 28
z > 1
Hence the answer is z >1 for the given inequality for x.
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Plz help! Question is below!
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
8 x 1/2=
8/1 x 2/1 = 16
write an equation for the line that passes through (-12, 12) and whose slope is undefined. give an answer in standard form. write the equation into standard form where all coefficient write the equation in the standarm in the standard form where all coeficcients are expressed as relatively
The equation in standard form where all coefficients are expressed relatively is -x + 0y = 12.
If the slope of a line is undefined, it means the line is vertical. A vertical line does not have a defined slope, but its equation can still be expressed in standard form.
The equation for a vertical line passing through the point (-12, 12) can be written as:
x = -12
In standard form, the equation is typically written as:
x + 0y = -12
However, to express all coefficients relatively, we can multiply the equation by any non-zero constant to make the coefficient of x equal to 1. In this case, we can multiply the equation by -1 to achieve that:
-x + 0y = 12
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(5x³−2x²y+4y)−(x²y+4y−y³)
The given Polynomial expression is (5x³−2x²y+4y)−(x²y+4y−y³). Simplifying the expression, we obtain 5x³−2x²y+4y−x²y−4y+y³. Combining like terms, the final answer is 5x³−3x²y−y³.
The expression (5x³−2x²y+4y)−(x²y+4y−y³) can be simplified by applying the distributive property and combining like terms.
First, distribute the negative sign inside the parentheses to each term inside it. This gives us (5x³−2x²y+4y)−x²y−4y+y³.
Next, combine like terms. In this case, we have -2x²y and -x²y, which can be combined to give us -3x²y. We also have 4y and -4y, which cancel each other out. Finally, we have y³ as a separate term.
Putting it all together, the simplified expression becomes 5x³−3x²y−y³.
Therefore, the final answer is 5x³−3x²y−y³.
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A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,700. How much (in $) of the total bill will Ana owe
The total bill that Ana would pay is $560.
What is the total bill Ana would pay?The total bill that Ana owes is the sum of the first $100 and 10% of the remaining bill since the insurance company would pay 90% of the bill.
The mathematical operation that would be used to determine the total bills are addition, multiplication and subtraction. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of calculating the difference between two or more numbers. Multiplication is the process of determining the product of two or more numbers.
Total bill = first $100 + 90%(total bill - $100)
$100 + 10%($4,700 - $100)
$100 + 10% x 4,600
$100 + (0.1 x 4,600)
$100 + $460
$560
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Natalie walked 3/5 mile in 1/2 hour. How many miles did she walk per hour
Answer:
She walked 1 1/5 miles per hour.
Step-by-step explanation:
the cash price of a television set is $10 000.00 .A woman buys the television set on hire purchase by making a 20% down payment and paying off the balance in 12 equal installments of $800.00 .The amount saved if the television set was bought for cash is?
The amount that'll be saved if the television was bought for cash is $1600.
Cash price of television = $10000
Amount paid through hire purchase will be:
= (20% × $10000) + ($800 × 12)
= (0.2 × $10000) + $9600.
= $2000 + $9600.
= $11600
The amount that could have been saved will be:
= $11600 - $10000.
= $1600
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Which of the following is NOT a arithmetic sequence?
A. 5, 2, -1, -4
B. 1/2, 1, 3/2, 2
C. 11, 14, 17, 20
D. 2, 4, 8, 16
Answer:
B
Step-by-step explanation:
They all follow a sequence such as always add 4 or take 6 away some of them multiply so it is B because it does not follow the sequence
Solve: 4x < -16
PLEASE HELPPPP
Answer:
C
Step-by-step explanation:
Divide the two member by 4
if we divide by a positive number, the sign of the inequality remains the same
x < -4
Please help me find the answer
please help me rn!!!!!!!!
Answer:
A B and C
Step-by-step explanation:
it's a simple question
help on proof
Prove that 1+3+5+...+ (2n+1) = (n+1)² Verify that for all n 1
Using mathematical induction, we have prove that 1+3+5+...+ (2n+1) = (n+1)²
The first step is to verify the base case, which is n=1.
Then, assume that the equation is true for some arbitrary value k, and use that assumption to show that it is true for k+1.
Step 1: Base Case
When n=1,1+3=42=2²
Therefore, the equation holds for n=1
Step 2: Induction Hypothesis
Assume that the equation holds for some value k, so:1+3+5+...+(2k+1) = (k+1)²
Step 3: Inductive Step
To show that the equation holds for k+1, we need to add the next term, which is (2k+3):1+3+5+...+(2k+1)+(2k+3) = (k+1)² + (2k+3)
Factoring out (k+2) from the right-hand side gives:(k+2)²+(2k+3) = (k+1)² + (2k+3)
Simplifying the left-hand side gives:k²+4k+4+2k+3 = k²+2k+1+2k+3
The right-hand side simplifies to (k+1)², so:k²+4k+7 = (k+1)²Therefore, the equation holds for k+1 as well.
Step 4: Conclusion
Using the principle of mathematical induction, we have shown that the equation holds for all n greater than or equal to 1.
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List five vectors in Span {v1,v2}. Do not make a sketch.v1=6 4 −8v2=−6 2 0
The five vectors in span {v1,v2} are we first multiply each vector component (x, y, and z) of v1 and v2 by a constant and then add them together.
1. v3 = (3v1 + 2v2) = (18 8 −16)
2. v4 = (2v1 + 3v2) = (−12 6 0)
3. v5 = (4v1 + v2) = (0 6 −32)
4. v6 = (−2v1 + 5v2) = (36 10 0)
5. v7 = (−v1 + 4v2) = (−36 8 0)
To calculate the vectors, we first multiply each vector component (x, y, and z) of v1 and v2 by a constant and then add them together. For example, for v3 we multiplied v1 by 3 and v2 by 2 and then added the components together to get the vector (18 8 −16). We performed similar calculations for the other vectors.
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5/6 least common denominator
30
The Least common denominator of 5/6 is 30.