g(x)=2x
h(x)=x^(2)+4
evaluate for g(h(-8))
Answers
The value of the function is 136
How to determine the functionIt is important that we note that functions are described as expressions that are used to explain the relationship between two variables.
From the information given, we have that;
g(x)=2x
h(x)=x^(2)+4
To determine the composite function, we would need to substitute the value of h(-8) as x in the function g(x)
Then, we have that;
h(-8) = (-8)^2 + 4
Find the values
h(-8) = 68
Now, substitute the value as x , we have that;
g(h(-8)) = 2(68)
expand the bracket and multiply
g(h(-8)) = 136
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Related Questions
Find the value of x. The diagram is not to scale
Answers
Answer:
X- Intercepts= 50/3 0
Answer is C
None of these
Write the equation of a line in slope intercept form that passes through the two points. -5,-2 and -3,8 PLS HELP
Answers
Answer:
y = 5x + 23
Step-by-step explanation:
y2 - y1 / x2 - x1
8 - (-2) / -3 - (-5)
10 / 2
= 5
y = 5x + b
-2 = 5(-5) + b
-2 = -25 + b
23 = b
Round 765.2 to nearest hundreds
Answers
Which of these is NOT a part of a formal proof?
Select one:
O a.statements
O b. given
O c. reasons
O d. diagram
O e. none of these
Answers
The option that is not a part of a formal proof is E. none of these
What is a formal proof?A formal proof or derivation can be described as a finite sequence of sentences, having an axiom, an assumption, or leads the way from the preceding sentences in the sequence by a rule of inference.
It demonstrates the logical necessity of a given conclusion.
The different parts of a formal proof includes;
StatementDrawingGivenProveProofHence, the correct option is E
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Evaluate the expression and enter your answer in the box below.
8 + |7|
Answers
Answer:
Well the absolute value of 7 is 7 and 7+8 would be 15.
Step-by-step explanation:
Answer: 15
Hope this helped :)
Please give brainliest!
X2 - 13x + 40 = 0
Hey, I got this on my math homework and I need help with figuring out how to solve it
Answers
Answer:
x=8 x=5
Step-by-step explanation:
X^2 - 13x + 40 = 0
What two numbers multiply to 40 and add to -13
-8*-5 = 20
-8-5 = -13
( x-8) (x-5) =0
Using the zero product property
x-8=0 x-5 =0
x=8 x=5
To solve this polynomial equation, we will first factor the left side.
On the left, we have a special type of trinomial
that can be factored as the product of two binomials.
X² breaks down as x · x and we are looking for
the factors of 40 that add to the middle term, -13.
Since the middle term is negative, we use negative factors of 40.
The factors that work are -8 and -5.
So we have (x - 8)(x - 5) = 0.
If (x - 8)(x - 5) = 0, that means that either x - 8 = 0 or x - 5 = 0.
Solving for x in each equation, we have x = 8 or x = 5.
We can write this as the set of numbers {8, 5}.
You need to borrow $2550 to help contribute to an upcoming family reunion. You can borrow the money from two different banks.
Bank A will lend you $2550 for six months at an interest rate of 11.5%
How much money will you owe at the end of each period of time? Which bank offer will you choose and why?
Bank B will lend you $2550 for twelve months at an interest rate of 7.5%
Answers
Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.
How to calculate the simple interest?The formula to calculate the simple interest is;
I = PRT
Where;
P is principal
R is rate
T is time
Now, we are given that;
Bank A;
Principal amount; P = $2550
Interest rate; R = 11.5% = 0.115
Time; t = 6 months = 0.5 years
Thus;
I = (2550 * 0.115 * 0.5)
I = $146.625
Amount to be repaid = 2550 + 146.625
Amount to be repaid = $2,696.625
Bank B;
Principal amount; P = $2550
Interest rate; R = 7.5% = 0.075
Time; t = 12 months = 1 year
Thus;
I = (2550 * 0.075 * 1)
I = $191.25
Amount to be repaid = 2550 + 191.25 = $2,741.25
Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.
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Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7
Answers
Answer:
mode is 7, mean, 6.3 repeating, median 7
Step-by-step explanation:
Please help!
Solve for x.
Answers
Answer:
1. 15.9
2. 12
3. 7.29
4. 20.8
5. 11.0
Step-by-step explanation:
We can use the Pythagorean Theorem to solve for x (a squared minus b squared equals c squared)
Example number 1 is solved by 17 squared - 6 squared equals 253
You do square root and get 15.90
Number 4 is you have to divide 24 by 2 because it is one of the sides
So it is 24 squared minus 12 squared
You find square root and get 20.80
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
Answers
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
Find the quotient. 87 83 N Click on the correct answer. 810 84. please help
Answers
Answer:
\( 8^4 \)
Step-by-step explanation:
Given,
\( \frac{8^7}{8^3} \)
To find the quotient, apply the division rule of exponents, \( a^x \div. a^y = a^{x - y \)
Thus:
\( 8^{7- 3} \)
= \( 8^4 \)
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answers
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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Derivative/Derivada
1) In(2x²-x)
Answers
The derivative is f'(x) = (4x - 1) / (2x² - x).
To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.
Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).
Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).
Let's consider the inner function g(x) = 2x² - x.
To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.
Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.
Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:
f'(x) = (1 / (2x² - x)) * (4x - 1)
Simplifying further, we have:
f'(x) = (4x - 1) / (2x² - x)
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Hi everyone, I'm having trouble with these questions and I'm not sure how to do them/where to start. Does anyone have a solution to it? It will help me with my future problems on this topic!
Answers
Answer:
sounds simple, but getting to know people can be seriously hard. We've got some tips to help you ease the process and get to know people ...
You are given a dollar and you plan to triple this dollar every day. the next day, you have three dollars. the following day,you have nine dollars. which function m represents how many dollars you have after t days
Answers
Answer:
Step-by-step explanation:
last one
WHY IS IT SO HARD FINDING LOVE YwY
Answers
Answer:
Step-by-step explanation:
All you have to do is to be patient and then the moment will come and... POOF!
YoUr iN LOOOVeeeeE
what is
1 1/4 + 2/14
Answers
Answer:
1.39285714286
Step-by-step explanation:
\(1\frac{1}{3} + 2\frac{1}{4} = \frac{3*1+1}{3} + \frac{4*2+1}{4} = \frac{4}{3} + \frac{9}{4} = \frac{4*4}{3*4} + \frac{9*3}{4*3} = \frac{16}{12} + \frac{27}{12} = \frac{16+27}{12}=\frac{23}{12} = 1\frac{11}{12}\)
What is a formula for the nth term of the given sequence? 12, 6, 3
Answers
Answer:
I think it is dividing the numbers by 2
A circle with radius of 2 cm sits inside a 11 cm x 12 cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
11 cm
C
2 cm
12 cm
Answer is:119.43
Answers
Answer:119.43
Step-by-step explanation:
The New York Yankees are having a promotion. For the first 2500 fans to enter the stadium they will receive a signed baseball. The stadium holds 50086 people and was sold out for the game. What is the probability of receiving one of the signed baseballs?
Answers
Answer:
Step-by-step explanation:
Comment
(Fans who received a baseball) = 2500
Total number of seats in Yankee Stadium = 50086
P(those who got a baseball) = 2500 / 50086
Answer P(Those who got a baseball) = 0.04991 rounded.
A medical survey was conducted in order to establish the proportion of the population which was infected with cancer. The results indicated that 40% of the population was suffering from the disease. A sample of 6 people was later taken and examined for the disease. Find the probability that the following outcomes were observed:
Only one person had the disease (4 mks)
Exactly two people had the disease (4 mks)
At most two people had the disease (4 mks)
At least two people had the disease (4 mks)
Three or four people had the disease (4 mks)
Answers
The probability that Only one person had the disease is 0.1866, Exactly two people had the disease is 0.311, At most two people had the disease is 0.0467, At least two people had the disease is 0.9533, Three or four people had the disease is 0.41472 for the given distribution.
What is Probability?
The probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.Given that,
n=6
P=40%=0.4
q=0.6
(i) P(X=1)=6C1(0.4)^1(0.6)^(6-1)
= 6X0.4X(0.6)^5
=0.1866
(ii) P(X=2)=6C2(0.4)^2(0.6)^(6-2)
=15X(0.4)^2X(0.6)^4
=0.311
(iii) P(X≥2)=1-P(X<2)
=1-[P(X=0)+P(X=1)+P(X=2]
P(X=0)=6C0(0.4)^0(0.6)^6-0
=0.0467
(iv) P(X≤2)= 1- P(X≥2)
=1-0.0467
=0.9533
(v)P(X=3)+P(X=4)=6C3(0.4)^3(0.6)^(6-3)+6C4(0.4)^4(0.6)^(6-4)
=6C3(0.4)^3(0.6)^(6-3)+6C4(0.4)^4(0.6)^(6-4)
=20X0.013824+15X0.009216
=0.41472
The probability that Only one person had the disease is 0.1866, Exactly two people had the disease is 0.311, At most two people had the disease is 0.0467, At least two people had the disease is 0.9533, Three or four people had the disease is 0.41472 for the given distribution.
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Which of the following equations represents a linear function
Answers
Answer:
its B
Step-by-step explanation:
please like my answer . brainliest please
Which is the minimum or maximum value of the given function?
Answers
The minimum value of the function is -3
Calculating the minimum or maximum value of the function?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a minimum value
This minimum value represents the vertex of the graph
And it is located at (-4, -3)
So, we have
Minimum = -3
Hence, the minimum value of the function is -3
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For the given values of n and r, evaluate (a) n!÷ (n-r)! and (b) n!÷ r!(n-r)! for n=12 and r=5.
Answers
a) 95040
b) 792
Explanation:\(\begin{gathered} a)\text{ }n!\div\mleft(n-r\mright)! \\ =\frac{n!}{n-r!} \\ \text{where n = 12} \\ r\text{ = 5} \end{gathered}\)Inserting the values into the question above:
\(\begin{gathered} =\frac{12!}{\mleft(12-5\mright)!}\text{ = }\frac{12!}{7!} \\ =\text{ }\frac{12\text{ }\times11\text{ }\times10\times9\times8\times7!}{7!} \\ 7!\text{ cancels out in the numerator and denominator} \\ =\text{ }12\text{ }\times11\text{ }\times10\times9\times8 \\ =95,040 \end{gathered}\)\(\begin{gathered} b)\text{ }n!\div r!\mleft(n-r\mright)! \\ =\text{ }\frac{n!}{r!\mleft(n-r\mright)!}\text{ } \\ \text{where n = 12, r = 5} \\ =\text{ }\frac{12!}{7!(12-7)!} \end{gathered}\)\(\begin{gathered} =\frac{12!}{7!(5)!}=\frac{12!}{7!\times5!} \\ =\frac{12\times11\times10\times9\times8\times7!}{7!\text{ }\times5!} \\ =\frac{12\times11\times10\times9\times8}{5\times4\times3\times2\times1} \end{gathered}\)\(\begin{gathered} =\frac{95040}{120} \\ =792 \end{gathered}\)Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
Answers
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
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Use the diagram to find the angle measures
of the triangle. Recall that the sum of the
angle measures of a triangle is 180º.
9x
(x+4)
.
x =
(x+4)° = °
9x =
Answers
Answer:
x=16
(x+4)=20
9x=144
Step-by-step explanation:
9x+x+4+x=180
11x+4=180
11x=180-4
11x=176
\(x = \frac{176}{11} \)
x=16
I worked for 12 hours each day for 6 days then the next day I worked 9 hours how many did I work in all
Answers
Answer:
81
Step-by-step explanation:
12(6) + 9
72 + 9
81......
Answer:
81.
Step-by-step explanation:
(12 x 6) + 9 = 81
12 x 6 = 72
72 + 9 - 81
I need help..............................
Answers
Answer:
C
Step-by-step explanation:
can i have brainliest pls
write y+4=-2(x-1) in slope intercept form
Answers
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
What is the LCM of
12 and 40
Answers
Answer:
120
Step-by-step explanation:
12 and 40
Multiples of 12 = 12,24,36,48,60,72784,96,108,120..
Multiples of 40 = 40,80,120..
Common in both = 120
Answer:
120
Explanation:
The least common multiple (LCM) of two or more whole numbers is the smallest whole number that is divisible by each of those numbers. Basically, the LCM is the smallest number that all the numbers divide into evenly. So for 12 and 40, we get 120 since 120 ÷ 12 = 10, 120 ÷ 40 = 30