Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
Answers
given f(x)=(x+5),findf(9)
0C.-196
Related Questions
Eighty seven students were passing around a petition to stop the historical building from being demoilshed. each student collected 92 signatures. what was the total number of signatures the students collected
Answers
Answer:
8004
Step-by-step explanation:
87 x 92 = 8004
Answer:
87 × 92 = 8,004
Step-by-step explanation:
all 87 students got 92 signatures
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Which sequence shows the numbers in order from least to greatest?
A. -2.14<3.16227766017<2.8
B. 2.8<3.16227766017<2.14
C. 2.14<3.16227766017 <2.8
D. 2.14<2.8<3.16227766017
Answers
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.
The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.
They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:
< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?
A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.
The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.
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Which of the following are geometric sequences? Select all correct answers.
Answers
Answer:
A, B, E
Step-by-step explanation:
Notice that A, B, and E all maintain their common ratios, while C and D do not.
An exam has 2 papers each scored differently. one is out of 120 and another is out of 80. Maryam scores 65% on the first and 80% on the second. work Maryam's total percentage score for her exam.
Answers
Maryam's total percentage score on her exam is 71%.
What is the total percentage score?
Percentage is the ratio of an amount that is expressed as a number out of hundred. The sign that is used to represent percentage is %.
The first step is to determine the score on each paper.
Score on the first test = 65% x 120
(65 / 100) x 120 = 78
Score on the second test = 80% x 80
0.80 x 80 = 64
Total percentage score = (sum of scores / total score) x 100
Sum of scores = 64 + 78 = 142
Total score = 120 + 80 = 200
(142 / 200) x 100 = 71%
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If triangle has a side 16.5 side 29 and side x What is value of x
Answers
The third side of the triangle 12.5
A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
we the measurements of given two sides of the triangle 16.5 and 29
In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.
The sum of two sides rule
\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)
The difference between the two sides rule
\(29 - 16.5 < x \\ 12.5 < x\)
Therefore, the value of x is 12.5
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Does the graph represent a function?
Help Help pls
Answers
Answer:
No
Step-by-step explanation:
I am right. Trust me.
90 Amount (doll 60 30 0 2. 4 6 8 m 10 12 Number of Months Which equation can be used to calculate the total cost, c, of a gym membership in relation to the number of months, m, that a customer has a membership? A. c= 10m B. c= 30m I C. c= 10m + 30 D. c = 30m + 10
Answers
Since according to the graph when t = 0 months even than the cost is 30 dollars.
So the correct option is C ) c = 10m + 30
How can you check if a line belongs to a plane (Cartesian equation of the line and the equation of the plane is given)?
Answers
For example, suppose you have the Cartesian equation of a line in the form:
y = mx + b
and the equation of a plane in the form:
ax + by + cz + d = 0
To check if the line belongs to the plane, you can substitute a point (x, y) on the line into the equation of the plane and solve for z. If the resulting value of z satisfies the equation of the plane, then the line belongs to the plane.
Here's an example:
Suppose the Cartesian equation of the line is y = 2x + 1, and the equation of the plane is 2x + 3y + 4z + 5 = 0.
If we substitute a point on the line, such as (1, 3), into the equation of the plane, we get:
2(1) + 3(3) + 4z + 5 = 0
Solving for z, we find that z = -1.5.
Since the resulting value of z satisfies the equation of the plane, the line belongs to the plane.
If the resulting value of z does not satisfy the equation of the plane, then the line does not belong to the plane.
What property is shown in the example below?
(x3 + 2 x) + x = x3 + (2x + x)
A. Identity
B. Distributive
C. Commutative
D. Associative
Answers
Answer:
Associative
Step-by-step explanation:
Help me find the answer for this question
Answers
The graphs of the functions f(x) and g(x) are attached with the answer.
What is a function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as \(${\displaystyle f\colon X\to Y}\) its graph is, formally, the set -\(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)
Given are the functions f(x) and g(x).
The given functions are -
f(x) = \($100(\frac{3}{5})^{x}\)
g(x) = \($100(\frac{2}{5})^{x}\)
Refer to the graphs of the function f(x) and g(x).
Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.
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Perform the indicated operation. 22 6/11 x 1 1/2
Answers
Answer:
\(1\frac{1}{2}\) <2<2 \(\frac{6}{11}\)
Step-by-step explanation:
\(1\frac{1}{2}\) is less than 2 is less than 2 \(\frac{6}{11}\)
\(\frac{33}{22} < \frac{44}{22} < \frac{56}{22}\)
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answers
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
Transform the equation if necessary, and then solve it to find the value of that makes the equation true.
−4 − 2(8 + 1) = −(−2 −10)
x = ?
If there is no solution, type n as your answer.
Answers
Answer:
False
Step-by-step explanation:
At noon, a tank contained 8 in. of water. After several hours, it contained 2 in. of water. What is the
percent decrease of water in the tank?
Answers
Answer:
75%
Step-by-step explanation:
To find the percent decrease, use the percent change formula:
(difference / original) x 100
8 - 2 = 6, so the difference is 6.
Plug in the difference and original:
(6 / 8) x 100
= 75
So, the percent decrease is 75%
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
Answers
Answer:
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Step-by-step explanation:
NEED THE ANSWERS FAST PLEASE
In Exercises 13 and 14, find a possible pair of integer values for a and c so that
the quadratic equation has the given number and type of solution(s). Then write
the equation.
13. ax² − 3x + c = 0; two real solutions
-
14. ax² + 10x + c = 0; two imaginary solutions
15. Determine the number and type of solutions to the equation 2x² - 8x = -15.
A. two real solutions
B. one real solution
C. two imaginary solutions
D. one imaginary solution
In Exercises 16 and 17, use the Quadratic Formula to write a quadratic equation
that has the given solutions.
16. x
10 ± √√-68
14
17. x =
-3±i√√7
8
In Exercises 18-21, solve the quadratic equation using the Quadratic Formula.
Then solve the equation using another method. Which method do you prefer?
Explain.
18. 7x² + 7 = 14x
20. x² + 2 = -x
19. x² + 20x = 8
21. 8x² - 48x + 64 = 0
22. The quadratic equation x² + x + c = 0 has two imaginary solutions. Show that
the constant c must be greater than 1.
Answers
Answer:
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions. did this help?
Multiply 11.3 x 4.16
Answers
Answer:
47.008
Step-by-step explanation:
100 points + brainliest!
Answers
Answer: D = √2
(please respond if im wrong)
Step-by-step explanation:
The fold is made along BE. A folds onto A′.
A′B = AB =√2 ⇒ A′C = 1
(by Pythagoras)
ΔA′BC
is therefore a right-angled isosceles triangle.
⇒∠BA′C=45∘ ⇒∠EA′D=45∘
⇒ ED = A′D = √2−1
A pollster estimated that Greg Wilder would receive 3,600 votes for a seat on the school board. The actual number of votes Wilder received was 3,750. What was the percent error in the pollster's prediction?
A. 4%
B. 6%
C. 15%
D. 42%
Answers
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answers
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.
Answers
The total number of students who graduated from the Cincinnati universities and colleges are 15382.
We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.
The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.
We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.
Let the total number of students be x.
ATQ:
6.67 % x = 1026
6.67 x = 102600
667 x = 10260000
x = 10260000 / 667
x = 15382.309
Rounding off to the nearest whole number is:
x = 15382.
Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.
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PLEASE HELP!! I keep getting bots or trolls
How can you restrict the domain of the function f(x) = |x + 4| − 2 so the range of the inverse function, f -1(x), is [-4, ∞)?
A.
x ≥ 4
B.
x ≥ -4
C.
x ≥ 0
D.
x < 4
E.
x ≥ -2
Answers
Answer:
a
Step-by-step explanation:
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Answers
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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Last night, 312 people attended the early showing of a theater movie. How many people attended the late showing if the attendance for both showing was 961 people?
Answers
961-312=649
The graph shows a function of the form () = ab
.
Use the drop-down menus to complete the statements about the function, and then write an equation that represents this function.
Answers
Answer:
When \(x=0\), the value of f(x) is 1.
Each time x increases by 1, f(x) is multiplied by 4.
Equation of function: \(f(x)=1\cdot 4^x\)
Step-by-step explanation:
The detailed explanation is attached below.
Last year Kristen had $ 20 , 000 to invest. She invested some of it in the first account that paid 7 % simple interest per year, and she invested the rest of it in a second account that paid 8 % simple interest per year. After one year, she received a total of $ 1 , 540 in interest. How much did she invest in each account?
Answers
The amount invested in the account that earns 7% interest is $6,000 and the amount invested in the account that earns 8% interest is $14,000.
How much is invested in each account?The system of equations that represent the information in the question is:
a + b = 20,000 equation 1
0.07a + 0.08b = 1540 equation 2
Where:
a = amount invested in the account that earns 7% interest
b = amount invested in the account that earns 8% interest
The elimination method would be used to solve the equations.
Multiply equation 1 by 0.07
0.07a + 0.07b = 1,400 equation 3
Subtract equation 3 from equation 2
0.01b = 140
Divide both sides of the equation by 0.01
b = 140/ 0.01
b = 14,000
Substitute for b in equation 1:
a + 14,000 = 20,000
a = 20,000 - 14,000
a = 6,000
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Nicole and her 3 friends bought 8 pounds of candy and shared them equally. How many pounds
of candy
?
3
Answers
Answer:
Each person will get 2 pounds of candy
Step-by-step explanation:
Nicole + 3 friends = 4 total
8 pounds of candy = total
total candy / total people
8/4 = 2
How many 4-digit numbers can be created using
the digits 1, 3, 5, 7, and 9 without repeating any
digits within that 4-digit number?
Answers
Answer:
120 four digit numbers can be created from the gives.
Step-by-step explanation:
Solution
You are given 5 digits in the givens.
1 3 5 7 9
Therefore
5 * 4 * 3 * 2 is the answer to your question. 4 and 3 and 2 determine that none of the digits can be repeated. That equals 120.
Any equation or inequality with variables in it is a predicate in the domain of real numbers. For each of the following statements, tell whether the statement is true or false.
(a) (∀x)(x2 > x)
(b) (Ǝx) (x2 − 2 = 1)
(c) (Ǝx)(x2 + 2=1)
(d) (∀x)(Ǝy)(x2 + y = 4)
(e) (Ǝy)(∀x)(x2 + y = 4)
Answers
An equation is an expression containing an equals sign (=) that states that two expressions are equal. An inequation is an expression containing an inequality sign (<, >, ≤, or ≥) that states that two expressions are not equal. Equations and inequations are used to describe relationships between two or more values.
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