hello, I have this worksheet and I don't know how to do it my teacher didn't explain.
Answers
1.
Answer:
\(\begin{gathered} \text{Zeros : x = 0 , x = -4} \\ \text{Axis of symmetry : x = -2} \\ \text{Max or Min : Max at point (-2,4)} \\ \text{Vertex: (-2,4)} \end{gathered}\)Explanation:
Given the graph in the attached image;
The Zeros are the values of x for which the equation gives y=0.
The values of x for which y=0.
From the graph, it is the point at which the function intercept the x axis;
So, the zeros are at;
\(\begin{gathered} \text{Zeros} \\ x=0 \\ x=-4 \end{gathered}\)The line of symmetry is the line that can divide the equation into two equal halves.
The line of symmetry for the given equation is;
\(x=-2\)For the given equation, it opens downwards, so it has a Maximum point at point;
\(\begin{gathered} \text{Max} \\ at\text{ point;} \\ (-2,4) \end{gathered}\)For this equation the Vertex is similar to the maximum point and the Vertex is also at;
\((-2,4)\)So, we have;
\(\begin{gathered} \text{Zeros : x = 0 , x = -4} \\ \text{Axis of symmetry : x = -2} \\ \text{Max or Min : Max at point (-2,4)} \\ \text{Vertex: (-2,4)} \end{gathered}\)Related Questions
Which of the following statements is TRUE? Select ALL true statements. (HINT: try different numbers to check each statement.)
1. The absolute value of any number must be a positive number.
2. The opposite of the opposite of a negative number is the same negative number.
3. The number zero is the only number whose opposite is the same as itself.
4. The absolute value of a negative number has the same value as opposite of the same negative number.
5. The absolute value of the opposite of 2 is same as the opposite of the absolute value of 2.
6. If a number is not negative, then the number must be positive
Answers
Answer:
1. True.
3. True
4. True
Step-by-step explanation:
1. The absolute/ modulus of each number is always positive therefore true
2. Take for instance -2, it's opposite will be +2. thus the statement is false
3. True. zero takes no sign hence it's the only number whose opposite is itself.
4. Yes. absolute means it is positive and opposite of negative is positive too
5. absolute value of opposite of 2 is +2, the opposite of absolute value of 2 is -2. thus the statement is false
6. False. zero is neither positive nor negative
Please help! will make brainliest
Answers
Answer:
59,582π/375 (approximately 499.153) square centimeters
Step-by-step explanation:
Volume:
\( \frac{1}{3} \pi {(6.2)}^{2} (12.4)\)
\( \frac{1}{3} {( \frac{31}{5}) }^{2} ( \frac{62}{5} )\pi\)
\( \frac{59582\pi}{375} \)
PLEASE HELP AND LET ME KNOW IF THE FIRST TWO ARE RIGHT
Answers
Use the graph to answer the question.
5
4
3
2
1
0
--1-
A'
A
1
Oy-axis
Ox-axis
Ox=2
2
Oy=2
B
3
В'
4
5
D
6 7. 8
Determine the line of reflection used to create the image.
D
C
C'
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Answer:
x-axis
Step-by-step explanation:
I'm 99.9% it's right
I'm really sorry if not!
hope this helps!
have a good day/night!
Game cards go for $3 for 10 cards. If Angelina spent $18 on cards, how many cards does she have
in total?
Answers
Answer:
She has 60 Cards
Step-by-step explanation:
3=10
3 times 6= 10 times 60
60 cars
Answer:
60 cards
Step-by-step explanation:
Because 3 divided by 10 is .3 and .3 divided by 18 is 60
Bill weighs 240 pounds and is losing two pounds each month . Phil weighs 290 pounds and is losing 4 pounds each month . How many months , m, will it take Bill to weigh the same as Phil
Answers
They will weigh the same at twenty-five months.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Let the number of months when they will weigh the same would be m
Given that Bill is losing two pounds per month and is currently 240 pounds.
So his model expression of weight would be: 240 - 2m
And Bill is losing four pounds per month and is currently 290 pounds.
So his model expression of weight would be: 290 - 4m
As per the condition, they will weigh the same
⇒ 240 - 2m = 290 - 4m
⇒ 4m - 2m = 290 - 240
⇒ 2m = 50
⇒ m = 25
Therefore, they will weigh the same at twenty-five months.
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In the number 3.072 the digit 7 is in the ? place and the digit 2 is in the ? place.
Answers
Answer:
7= Hundredths
2=Thousandths
The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.
Given that,
In the number 3.072 the digit 7 is in the place and the digit 2 is in the is to be determined.
Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,
Here,
Given decimal value = 3.072
Where after the decimal point 0 is at tenth position, 7 is at hundredth position and 2 is at thousandth positions.
Thus, The required place of 7 and 2 in the given decimal value is the hundredth and thousandth.
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a line through (4,2) with slope 1/2
Answers
Answer:
Step-by-step explanation:
Use the formula P=MX+B
- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
Answers
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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at the beginning of a chemistry experiment the volume of liquid in a container was 4 milliliters. during the experiment the volume dropped to 3 millimeters. find the percent of decrease
Answers
Answer:
2.0
Step-by-step explanation:
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The percentage decrease in the volume will be 25%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that at the beginning of a chemistry experiment the volume of liquid in a container was 4 milliliters. during the experiment the volume dropped to 3 millimeters.
The percentage decrease will be calculated as:-
Percentage decrease =( 4 - 3 ) / 4
Percentage decrease =( 1 ) / 4
Percentage decrease =0.25 = 0.25 x 100 = 25%
Therefore, the percentage decrease in the volume will be 25%.
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Point b is at (1,1) on a graph. transformed using matrix A
Answers
In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.
In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.
\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\) = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)
\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) = \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)
As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).
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A batch of chili uses 1.5 pounds of ground meat for every 2 pounds of tomatoes. What is the whole number ratio of meat to tomatoes? 04:3 O 3:1 01:3 03:4 which option is ok?
Answers
Answer:
3 : 4
Step-by-step explanation:
meat : tomatoes
= 1.5 : 2 ( multiply both parts by 2 )
= 3 : 4
Please help, thanks!
Answers
The change in function values is f(40) - f(10) = 49 - 55 = -6.
The change in x-values is 40 - 10 = 30.
Therefore, the average rate of change is -6/30, which simplifies to -1/5.
The average rate of change of the function over the interval 10 < x ≤ 40 is -1/5.
solve the question below
Answers
Answer:
\(x=-\frac{27}{34}\)
Step-by-step explanation:
\(\begin{aligned}\\(1-5.1x)-(1.7x+5.4)&=1\\1-5.1x-1.7x-5.4&=1\\-6.8x-4.4&=1\\-6.8x&=1+4.4\\-6.8x&=5.4\\&=\frac{5.4}{-6.8}\\&=-\frac{5.4\times10}{6.8\times10}\\&=-\frac{54}{68}\\&=-\frac{27}{34}. &(\text{divide numerator and denominator by }2)\\\end{aligned}\)
Hence, \(x=-\frac{27}{34}.\)
Place the numbers 2,4,6,8,10,12, 14, 16,18 in the squares below so that the sum of the numbers in every column, row, and diagonals is equal to 30.
Answers
The way the numbers will be placed in the square box will be:
First row = 4 12 14
Second row = 2 10 18
Third row = 6 8 16
How to illustrate the information?It should be noted that the question is simply about adding the numbers and getting 39 in each place.
This will be:
First row = 4 12 14 = 4 + 12 + 14 = 30
Second row = 2 10 18 = 2 + 10 + 18 = 30
Third row = 6 8 16 = 6 + 8 + 16 = 30
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Daria Bought two same sized poster boards. She cut the poster boards into equal sized pieces to make placemats for her dinner guest. She cut the first poster board into five pieces and the second posterboard into two pieces. She will continue to cut the pieces of the poster board so that each One is divided into the same number of equal size pieces what is the least number of the equal size pieces each posterboard could have?
Answers
The least number of equal-sized pieces each poster board could have is 10.
What is the least common multiple (LCM)?
LCM is the short form for “Least Common Multiple.” The least common multiple is defined as the smallest multiple that two or more numbers have in common. For example: Take two integers, 2 and 3. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20….
To find the least number of equal-sized pieces each poster board could have, we need to find the least common multiple (LCM) of the number of pieces the two poster boards have been cut into.
The first poster board was cut into 5 pieces and the second poster board was cut into 2 pieces.
The LCM of 5 and 2 is 10, so each piece must be divided into 10 equal-sized pieces to ensure that each poster board is divided into the same number of pieces.
Therefore, the least number of equal-sized pieces each poster board could have is 10.
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what could possibly be 1 plus 1?
Answers
Answer:
Hmm...giraffe perhaps?
Can someone help please
Answers
Answer:
That is simple but instead of asking strangers for help that could make you get it wrong ask your parents for help.
Step-by-step explanation:
Find the equation of the line below. No bots!!!
Answers
Answer:
y=5x
y2-y1/x2-x1 = 10-5/2-1
Step-by-step explanation:
उक्त समयमा बसले कति दुरी पार गर्दछ ? Abusstarts from
rest. If the acceleration of the bus is 0.5m/s, what will be it's
ve ocity at the end of 2 minutes and what distance will it cover
during that time?
Answers
Answer:
The magnitude of the velocity will be 60 m/s.
The distance covered is 3,600 m
Step-by-step explanation:
Constant Acceleration Motion
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
\(v_f=v_o+at\)
The distance traveled by the object is calculated as:
\(\displaystyle x=v_o.t+\frac{a.t^2}{2}\)
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
\(v_f=0+0.5\cdot 120=60 \ m/s\)
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
\(\displaystyle x=0+\frac{0.5\cdot 120^2}{2}\)
\(\displaystyle x=\frac{7,200}{2}\)
x = 3,600 m
The distance covered is 3,600 m
Which three lengths could be the lengths of the sides of a triangle?
Α. 11 cm, 11 cm, 24 cm
B. 18 cm, 12 cm, 9 cm
C. 9 cm, 19 cm, 10 cm
D. 4 cm, 7 cm, 23 cm
Answers
Answer:
The answer is option A: 11cm, 11cm, 24cm
Step-by-step explanation:
which one is bigger 9/10 or 19/20
Answers
Answer:
19/20
Step-by-step explanation:
9/10=18/20
18/20≤19/20
What is the Constant in this Expression?
Answers
Answer:
-11
Step-by-step explanation:
A constant is a term without any algebraic coefficients or simply.. that isn't a variable..
Here, -11 is a constant
Answer:
-11
Step-by-step explanation:
A constant is a number that has no variable such as x, y, z, a, b, c, d or any other terms next to that number. It's just the integer and nothing else. Integers can be positive and negative from 0. The integer -11 in this example is a constant because there is no variable or other terms next to it.
Which describes the cross section of the cube that passes through the vertices A, B, and C shown belou?
CD
O a rectangle that is not a square
a square
a triangle with three equal sides
a triangle with only two equal sides
Answers
Step-by-step explanation:
a triangle with only 2 equal sides
OR
a triangle with three equal sides.
Solve for x in simplest form.
Answers
Answer:
\(x=-\frac{4}{5}\)
Step-by-step explanation:
\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)
Nathan is stocking bathrooms at the hotel where he works. he has 18 rolls of toilet paper and 9 bars of soap. if he wants all bathrooms to be stocked identically, with the same combination of supplies in each one and nothing left over, what is the greatest combination of bathrooms Nathan can stock
Answers
Please see my question in the attachment, thanks
Answers
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
Answers
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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Convert 9 square feet to square inches
Answers
Answer:
1296
Step-by-step explanation:
9 x 144
A square foot is a unit of area. It is the size of a square that is one foot on a side. It is 144 square inches, 1/9th of a square yard, or approximately 0.093 square meters.
A square inch is a unit of area. It is the size of a square that is one inch on a side. It is 1/144th of a square foot, or exactly 6.4516 square centimeters.
So, 9 x 144 = 1296
. If two of the angles in a scalene triangle are 54° and 87°, what is the other angle?
Answers
The answer is:
⇨ x = 39°Work/explanation:
Bear in mind that the sum of all the angles in a triangle is 180°.
Given two angles, we can easily find the third one.
Let's call it x.
Next, we set up an equation:
\(\sf{54+87+x=180}\)
\(\sf{141+x=180}\)
Subtract 141 on each side.
\(\sf{x=180-141}\)
\(\sf{x=39}\)
Hence, the other angle is 39°.