Axis of symmetry: x = 1\(\\\)
Vertex: (0,1)
Y-intercept: (0,1)
Min / Max: 0 / infinity
Domain: -infinity ≥ x ≥ infinity
Range: 0 ≥ y ≥ infinity
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
one day a store sells 14 pairs of jeans . The 14 jeans represents 20% of total number of items sold that day. How many items did the store sell in one day
Answer:
items sold in 1 day = 140
Step-by-step explanation:
14 pairs of jeans = 28 jeans total
the 14 "pair of jeans" repesents 20% of the total = x
28 = 20x/100
2800/20 = x
x = 140
Rewrite the function by completing the square.
h (x)=x^2+3x−18
Answer: (x+6)(x-3)
Step-by-step explanation:
y=x^2+3x-18
(x+6)(x-3 )
Write the following powers of 6 exponential form: 6 x 6
The exponential form of 6 × 6, is written as: 6².
How to Write an Expression in Exponential Form?Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.
Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:
6 × 6 = 6².
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PLZ help
solve for x
Answer:
1. x = 1
2. x = 13
3. x = 10
4. x = 1
5. x = 2
6. x = 22
7. x = 3
8. x = -6
9. x = -6
Step-by-step explanation:
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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4.68x10^6x2.6x10^2
Please help
Hard question but took my time and i have come up with 1216800000
2(x+7)+3(x+1) what is the answer
Answer:
5x + 17
Step-by-step explanation:
To answer this question, we must first simplify:
2 (x + 7) + 3 (x + 1) = 2x + 14 + 3x + 3
Then, we have to combine like terms:
2x + 14 + 3x + 3 = 5x + 17
And there is our answer, 5x + 17
Hope this helps ! :)
The parts of an expression (or equation) that are separated by addition orsubtraction signs are called
An equation has terms, variables, constants and coefficients.
A term is the part of the equation that is separated by addition or subtraction signs.
A variable is usually symbolized by a letter in place of an unknown value.
The coefficient is the number before the variable, the ones that multiply it.
The constans are the known values or numbers that appear in the equation.
For example:
3X+16
This equation has two terms "3X" and "16"
One variable "X"
One coefficient "3"
One constant "16"
what is 7/8 - 1/2 as a fraction
Answer: 3/8
Step-by-step explanation:
1/2 is also 4/8 so you subtract 4/8 from 7/8 to get 3/8
please help asap im so confused detailed answer please
Answer:
326 ft²
Step-by-step explanation:
You want to know the area of the library, which is a composite shape.
AreaThe area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.
The formula for the area of a rectangle is ...
A = LW
Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.
The upper rectangle is 30 ft wide and 5 ft high, so its area is ...
A = (30 ft)(5 ft) = 150 ft²
The lower rectangle is 22 ft wide and 8 ft high, so its area is ...
A = (22 ft)(8 ft) = 176 ft²
The area of the library will be the sum of these two rectangular areas:
library area = 150 ft² +176 ft² = 326 ft²
The library area is 326 square feet.
__
Alternate solution
The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...
(30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²
The method shown above does not require calculating missing dimensions, so is more straightforward.
IM GIVING 20 POINTS AND BRAINLY TO WHO GETS IT RIGHT THIS IS DUE REALLY SOON AND I NEED HELP PLSSSS
Answer:
5/6
Step-by-step explanation:
Answer:
The answer is 5/6
Step-by-step explanation:
4 5 20 2
- x - = - = -
5 6 30 3
The width of the wall is X +2 feet in the diagram if the perimeter of the wall is 6X +10 feet what is the length of the wall
Answer:
Hope this will help you. Here you have to use the formula P = 2(l+b)
the pie below is cut into 15 equal slices. Shade 1/3 of this pie
Answer:
Shade 5 slices.
Step-by-step explanation:
15 / 3 = 5
5 * 3 =15
1
Pratap Puri rowed 26 miles down a river in 2 hours, but the return trip took him 6; hours. Find the rate Pratap can row
in still water and find the rate of the current. Let x=rate Pratap can row in still water and y = rate of the current.
What is the rate that Pratap rows in still water?
Pratap can row at a rate of
(Type an integer or a decimal.)
in still water.
The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".
What does "speed" mean in mathematics?
Speed is what it means. the speed of a change in an object's location in any direction. Speed is defined as the ratio of distance to the amount of time it took to cover that distance. Speed is a scalar quantity because it just has a direction and no magnitude.Given:
Distance "26 miles" in time "2 hours".
Let,
Speed of water = y
Pratap speed when rowing in still water = x
As we know,
Speed = distance/time
then,
x + y = 26/2
x + y = 13
x = 13 - y
In return trip took him time "6.5 hours",
x - y = 26/6.5
x - y = 4
By substituting the value of "x", we get
13 - y - y = 4
13 - 2y = 4
2y = 13 - 4
2y = 9
y = 9/4 = 4.5 mph (Rate of the current)
By substituting the value of "y", we get
x = 13 - a
x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)
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Two flower seeds are randomly selected from a package that contains 8 seeds for red flowers and 9 seeds for white flowers. (Give your answer correct to three decimal places.)
(a) What is the probability that both seeds will result in red flowers?
Incorrect: Your answer is incorrect.
(b) What is the probability that one of each color is selected?
(c) What is the probability that both seeds are for white flowers?
Using the hypergeometric distribution, it is found that the probabilities are given as follows:
a) 0.2059 = 20.59%.
b) 0.5294 = 52.94%.
c) 0.2647 = 26.47%.
What is the hypergeometric distribution formula?
The formula is:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the parameters are as follows: N = 17, k = 8, n = 2.
Item a:
This probbility is P(X = 2), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,17,2,2) = \frac{C_{8,2}C_{9,0}}{C_{17,2}} = 0.2059\)
Item b:
This probbility is P(X = 1), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 1) = h(1,17,2,2) = \frac{C_{8,1}C_{9,1}}{C_{17,2}} = 0.5294\)
Item c:
This probbility is P(X = 0), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 0) = h(0,17,2,2) = \frac{C_{8,0}C_{9,2}}{C_{17,2}} = 0.2647\)
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In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20
The amount of money in an account after is has been earned interest is $1080, the principle is $1000, and the time is 2 years. What is the annual interest rate?
9514 1404 393
Answer:
4%
Step-by-step explanation:
We assume the interest earned is simple interest, because that make the numbers come out "nice."
The account balance is given by ...
A = P(1 +rt) . . . . principal P earns simple interest at annual rate r for t years
1080 = 1000(1 +r·2) . . . . fill in the given values
1.08 = 1 +2r . . . . . . . . . . divide by 1000
0.08 = 2r . . . . . . . . . . . subtract 1
0.04 = r = 4% . . . . . . . divide by 2
The annual interest rate is 4%.
_____
Additional comment
If interest is compounded annually, the annual rate is about 3.92%. If it is compounded continuously, the rate is about 3.85%.
What is the height of the triangle with an area of 64 square feet and a base of 8 feet?
Answer:
8
Step-by-step explanation:
8*8 = 64
b*h = a
Steve was trying to make it back to base. However he did not want to
travel through the Dark Oak Forrest. He moved 86 blocks vertically,
then he moved 44 blocks horizontally to arrive at the base. If Steve was
braver, he could have walked diagonally through the forrest. At what
angle, C, with the horizontal does the diagonal path make? Show all
work; only worked typed into the space below will be graded. (9
points)
Answer:
Angle C = 62.90°
Step-by-step explanation:
As given,
The perpendicular = 86
Base = 44
As, we know that
tan(C) = \(\frac{Perpendicular}{Base} = \frac{86}{44} = 1.9545\)
⇒C = \(tan^{-1}\)(1.9545) = 62.90°
∴ we get
Angle C = 62.90°
The graph is as follows :
if m ∟n, solve for x. (x + 21) (3x + 9) giving brainliest
Answer:
x=15
Step-by-step explanation:
Add the two equations together because there is a 90 degree angle. You can add the two to get :
4x+30=90
-30 from both sides
4x=60
Divide by 4 on both sides to get your answer!
x=15
Answer: X = 15
I think you can give brainiest to the person above me now
I know it's really late but :)
Question 3: Mathematical proficiency and the construction of mathematics ideas. To answer this question, you need to understand paragraphs 2.12 and 2.13 in your study guide: Key to note the following concepts: constructivism and behaviourism. inductive and deductive thinking or reasoning. instrumental and relational understanding conceptual and procedural knowledge; and ● elements of mathematics proficiency. . e . (10 marks) ● 3.1 Create an activity where procedural and conceptual understanding co-exists. Revisit your content areas and choose a problem to solve and demonstrate how procedural and conceptual knowledge can be linked to the teaching and learning process. (6) 3.2 Provide an example to explain the difference between conceptual knowledge and procedural knowledge.
Given statement solution is :- Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.
3.1 Activity: Procedural and Conceptual Understanding in Action
Content Area: Fractions
Problem: Comparing Fractions
Objective: Students will demonstrate both procedural and conceptual understanding of comparing fractions.
Activity Steps:
Begin by introducing the concept of fractions and reviewing the basic procedures for comparing fractions (e.g., finding a common denominator, cross-multiplying).
Provide students with a set of fraction comparison problems (e.g., 2/3 vs. 3/4, 5/8 vs. 7/12) and ask them to solve the problems using the traditional procedural approach.
After students have solved the problems procedurally, engage them in a group discussion to explore the underlying concepts and relationships between fractions. Ask questions such as:
What does it mean for one fraction to be greater than or less than another?
Can you explain why we need a common denominator when comparing fractions?
How can you visually represent and compare fractions to better understand their relative sizes?
Introduce visual aids, such as fraction bars or manipulatives, to help students visualize the fractions and compare them conceptually. Encourage students to reason and explain their thinking.
Have students revisit the fraction comparison problems and solve them again, this time using the conceptual understanding gained from the group discussion and visual aids.
Compare the students' procedural solutions with their conceptual solutions, and discuss the similarities and differences.
Conclude the activity by emphasizing the importance of both procedural and conceptual understanding in solving fraction comparison problems effectively.
By incorporating both procedural and conceptual approaches, this activity allows students to develop a deeper understanding of comparing fractions. The procedural approach provides them with the necessary steps to solve problems efficiently, while the conceptual approach helps them grasp the underlying principles and relationships involved in fraction comparison.
3.2 Example: Conceptual Knowledge vs. Procedural Knowledge
Conceptual knowledge refers to the understanding of underlying concepts, principles, and relationships within a domain, whereas procedural knowledge focuses on knowing the specific steps or procedures to perform a task without necessarily understanding the underlying concepts.
Example: Division of Fractions
Conceptual Knowledge: Understanding the concept of division as the inverse operation of multiplication, and recognizing that dividing fractions is equivalent to multiplying by the reciprocal of the divisor. This understanding allows for generalization and application of division concepts to various fractions.
Procedural Knowledge: Following the specific steps to divide fractions, such as "invert the divisor and multiply" or "keep-change-flip" method. This knowledge involves applying the procedure without necessarily grasping the underlying concept or reasoning behind it.
In this example, Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.
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the number of Significant Figures in 13410000 *
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
13410000
Sig Figs4
13410000
Decimals0
Scientific Notation1.341 × 107
E-Notation1.341e+7
Words thirteen million four hundred ten thousand
Graph the line with slope 6 and y-intercept -6
The graph of the line with slope 6 and y-intercept -6 is given below.
What is slope intercept form?
One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfils.
y = mx + c
where m is the slope
c is the y-intercept
Given, slope (m) = 6
y-intercept = -6
So, the equation of line become
y = 6x - 6
And, the graph of the given equation is given below.
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∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
WILL GIVE YOU BRILLIANT
State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning. The relationship between the number of $5 lunches you buy with a $145 school lunch card and the money remaining on the card because you select ) The relationship is a select ) buy a (select
Answer:
The relationship will be a solid line.
Step-by-step explanation:
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.
The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.
Let the number of lunches you buy be = x
Let the amount remaining in the card be = y
So, equation forms:
When you buy 1 lunch, or x = 1
When x = 2
When x = 3
We can see that the decrease is gradual and same.
You can also see the graph attached that a straight line is formed.
29. A piece of coaxial cable 4/5
meter long is to be cut into
8 pieces of the same length. What is the length of each
piece?
The length of each piece of ribbon is 0.1 meters and the discount percentage is 75%
How to determine the length of each piece?From the question, we have the following parameters
Length of the coaxial cable = 4/5 meters
Also, from the question;
We have
Number of pieces = 8
The length of each piece from the cable is the quotient of the Length of the coaxial cable and the number of pieces
This is represented as
Length of each piece = Length of the coaxial cable/Number of pieces
So, we have
Length of each piece = (4/5)/8
Evaluate the quotient
Length of each piece = 0.1
Hence, the length is 0.1 meter
How to determine the discountHere, we have
Original price = $45.00
Purchased amount = $11.25
The discount is calculated as
Purchased amount = Original price * (1 -discount)
So, we have
11.25 = 45 * (1 - discount)
So, we have
1 - discount = 0.25
Evaluate
Discount 0.75
This gives
Discount = 75%
So, the discount is 75%
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A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:a. The average index of elementary school children must be 60.69.b. The standard deviation of the sample is about 10% smaller than the population standard deviation.c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.e. 4.40 is 95% of the true average of the index for all elementary school children.f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Complete Question
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:
a. The average index of elementary school children must be 60.69.
b. The standard deviation of the sample is about 10% smaller than the population standard deviation.
c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.
d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.
e. 4.40 is 95% of the true average of the index for all elementary school children.
f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Answer:
The correct option is a and f
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The 95% confidence interval is (56.29, 65.09)
Generally the sample mean(average index of elementary school children) is mathematically represented as
\(\= x = \frac{65.09 + 56.29}{2}\)
=> \(\= x = 60.69 \)
10!•4!/6!•5!
Evaluate
O 1,008
O 4/3
2/3
Answer:
1008
Step-by-step explanation:
10!•4!
---------
6!•5!
Rewriting as
10 * 9*8*7*6! * 4!
---------
6!•5*4!
Canceling like terms
10 * 9*8*7
---------
5
1008
Answer:
1,008
Step-by-step explanation:
The answer is not 4/3 or 2/3. So, it has to be 1,008.
1493600÷8 i need full steps
When 1,493,600 is divided by 8 the quotient is 186,700.
To divide 1,493,600 by 8, you can follow these steps:
We have to write down the dividend (1,493,600) and the divisor (8).
Now start with the largest place value in the dividend (the leftmost digit) and perform the division.
Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.
Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.
Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.
Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.
Divide 9 by 8. The quotient is 1, and the remainder is 1.
Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.
Divide 13 by 8. The quotient is 1, and the remainder is 5.
Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.
Divide 56 by 8. The quotient is 7, and there is no remainder.
Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.
Divide 70 by 8. The quotient is 8, and there is no remainder.
There are no more digits to bring down, and the division is complete.
The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.
Therefore, the result of 1,493,600 ÷ 8 is 186,700.
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