Which statement is true about the graph of the quadratic function below?
The graph of the function has two y-intercepts and one x-intercept.
The function has a domain of all real numbers greater than or equal to
The function has a zero at (0, 1).
The function has a minimum value.
Answers
The quadratic function below has a minimum value. The graph of the quadratic function is shown below. The vertex of the graph is (-2, -5), and the axis of symmetry is x = -2.What is a quadratic function?A quadratic function is a function that can be represented in the form[tex]f(x) = ax^2 + bx + c[/tex], where a, b, and c are constants and a ≠ 0.
The graph of a quadratic function is a parabola that opens upwards if a > 0 and downwards if a < 0. The vertex of the parabola is the minimum point of the function if a > 0 and the maximum point of the function if a < 0.
The quadratic function below has a minimum value. This means that the parabola opens upwards, and the vertex is the minimum point of the function.
The vertex of the parabola is (-2, -5), which is the lowest point on the graph. The axis of symmetry is the vertical line x = -2, which passes through the vertex.
The axis of symmetry divides the parabola into two congruent halves, so the parabola is symmetric about this line.
In summary, the statement that is true about the graph of the quadratic function below is that the function has a minimum value.
The vertex of the parabola is (-2, -5), and the axis of symmetry is x = -2. The parabola opens upwards, and the minimum point of the function is at the vertex.
For such more question on quadratic function
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Related Questions
A library contains 60,000 books. 14,000 are the subject of business. 22,000 are on healthcare and and 12,000 on psychology and law . What percentage of the library books is on computing . If computing books make up two thirds of the remainder
Answers
Answer:
The percentage of computing books is 13.33%.
Step-by-step explanation:
The library consist of books on different subjects:
S = {Business, Healthcare, Computing, Psychology, Law,...}
There are a total of N = 60,000 books in the library.
Business (B) = 14,000
Healthcare (H) = 22,000
Psychology and Law (P&L) = 12,000
Remaining = N - B - H - P&L
= 60000 - 14000 - 22000 - 12000
= 12000
It is provided that computing books make up two thirds of the remainder.
Compute the number of computing books as follows:
C = 12000 × (2/3) = 8000
Compute the percentage of computing books as follows:
[tex]C\% = \frac{8000}{60000}\times 100=13.33\%[/tex]
Thus, the percentage of computing books is 13.33%.
Given: <1 - <2
Prove: p || q.
Angles Lines Statements Reasons
21
22
23
р
Statements
Reasons
3
9
2
2
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
Answer:
Step-by-step explanation:
Given that alternate exterior angles ∠1 and ∠2 are equal, line p is parallel to q.
What are alternate exterior angles?Two exterior angles that lie on two different lines cut by a transversal and are placed on the opposite sides of the transversal are called alternate exterior angles.
∠1 = ∠2 (alternate exterior angles)
This implies, p||q.
Learn more about alternate exterior angles here
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Help me please question is attached in photo below
Answers
Answer:
P = 4x - 2
Step-by-step explanation:
Perimeter is all the side lengths added together.
Step 1: Set up expression
P = 2x - 5 + 5 - x + 3x - 2
Step 2: Combine like terms
P = 4x - 2
I need to know how to Expand 2.31x10^5
Answers
Answer:
Move 5 decimal places to the right. 231,000. If it was 10^-5, you would have to move 5 decimal places to the left.
which of the following number is odd?
Answers
1, 3, 5, 7 , 9 and ect.
Solve the following equation for q. 5q=8p-28+3q
Group of answer choices
q = 4p + 14
q = 4p - 14
q = 4p + 2
q = 4p - 2
Answers
5q - 3q = 8p - 28
2q = 2(4p - 14)
q = 4p - 14
in a typical bag of skittles, the ratio of red to yellow skittles is 3 to 7. If there are 40 skittles altogether, how many red skittles are there?
Answers
Answer:
I love Skittles
what's your favorite color?
Which number is a factor of 22 but not a multiple of 2???
Answers
Answer:
1 times 22
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
11 x 2 = 22
So 11 is a factor of 22 since 11 multiplied by 2 is 22.
11 is not a multiple of 2 though.
multiples of 2: 2,4,6,8,10,12.....
Hope this helps :)
с
(2x + 19)
(3х + 8)
А
Answers
Answer:
x=9
Step-by-step explanation:
step one pull out the factors
3x - 27 = 3 • (x - 9)
and step two: Equations which are never true
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
so x-9=0 and add both sides to 9 and to equal 9
If ½ inch represents 10 miles on a map, then how many inches will represent 240 miles?
Answers
Answer:
Step-by-step explanation:
There are 24 10 miles in 240. Each 1/2 inch is 10 miles, so there are 12 inches.
Answer:
Your answer will be 12 inches.
Step-by-step explanation:
1/2 inch = 10 miles
1 inch = 20 miles
240/20= 12
Find 3 consecutive integers with a sum of -36
Answers
Answer:
-13, -12, -11
Step-by-step explanation:
Step 1: Define
1st consecutive integer - x
2nd consecutive integer - x + 1
3rd consecutive integer - x + 2
Step 2: Set up equation
x + x + 1 + x + 2 = -36
Step 3: Solve for x
Combine like terms: 3x + 3 = -36Subtract 3 on both sides: 3x = -39Divide both sides by 3: x = -13Step 4: Find other integers
1st consecutive integer = -13
2nd consecutive integer = -13 + 1 = -12
3rd consecutive integer = -13 + 2 = -11
Which scenario is best represented by the equation y = 8x?
Haddie spent $8 on one hairbrush.
Mike bought books that cost $8 each.
Georgia has as many pennies as Sam.
A cow weights 8 pounds more than a horse.
Answers
Answer:
The answer is A.
Step-by-step explanation:
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answers
Answer: 258 [tex]yard^{2}[/tex]
Step-by-step explanation: To find the surface area you add the area of all the sides. And the unit for a surface area is unit (yards) squared.
Front: 5 • 9 = 45
Back: 5 • 9 = 45
Left: 6 • 5 = 30
Right: 6 • 5 = 30
Top: 9 • 6 = 54
Bottom: 9 • 6 = 54
45 + 45 + 30 + 30 + 54 + 54 = 258.
The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The researchers recorded the number of cans sold over a given period of time. What is the null hypothesis for this study?
Answers
Step-by-step explanation:
The question requires us to state the null hypothesis only.
A null hypothesis can be used in statistics or experimental research to show that there is no difference in existence between the populations that were specified for the study. An alternative hypothesis is the opposite as it proposes the existence of a difference.
Here is the null hypothesis:-
H0: there are no differences existing between the mean sales of coca-cola classic, coke and pepsi in public vending machine.
HELP i know this is simple but i cant seem to find the correct equation
Answers
============================================
Work Shown:
f(x) = x^2
g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).
The value of 'a' vertically stretches f(x) upward if a > 0
If 'a' is negative, then we have a reflection going on as shown in the diagram.
We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6
If we plugged x = 3 into f(x), we get
f(x) = x^2
f(3) = 3^2
f(3) = 9
So,
g(x) = a*f(x)
g(3) = a*f(3) ... replace x with 3
g(3) = a*9 ... replace f(3) with 9 since f(3) = 9
-6 = a*9 ... replace g(3) with -6 since g(-3) = -6
9a = -6
a = -6/9
a = -2/3
Therefore, this means
g(x) = a*f(x)
g(x) = (-2/3)*f(x)
g(x) = (-2/3)*x^2
How do you write six hundred and eight thousand in decimal form
Answers
Answer:
In the explanation. :)
Step-by-step explanation:
608000
In the diagram below, the lines are parallel. m∠BCD = 52° and m∠EAB = 73°. What is the measure of ∠ABC?
Answers
Answer:
235°Step-by-step explanation:
GivenAB ║ CDm∠BCD = 52° m∠EAB = 73°To findm∠ABC = ?SolutionImagine line BF parallel to both AB and CD
Then
m∠ABC = m∠ABF + m∠CBF m∠ABC = (180° - m∠EAB) + (180° - m∠BCD)m∠ABC = (180° - 73°) + (180° - 52°) = 107° + 128° = 235°Answer:
235°Step-by-step explanation:
∠EAB = 73
∠BCD = 52
125
∠ABC = 360 - 125
= 235°
Ted has two boards. The length of the second board is five inches more than two times the length of the first board. The total length of the two boards is 65 inches. How many inches long is the first board?
Answers
Answer:
Twenty inches
Twenty times two is forty and forty plus five is forty five add those together and you get sixty five inches
Answer:
30 inches
Step-by-step explanation:
haven't learnt this but from the question the first board is 5 inches more then the second and the both is 65 inches so if the first is 30 the second is 35 its 65. pls correct me if wrong
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers? SHOW YOUR WORK. (5 points)
a
Online customers buy an average of about five packs compared with walk-in customers, who buy an average of about three packs.
b
Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
c
Online customers buy an average of six-packs compared with walk-in customers, who buy an average of three packs.
d
Online customers buy an average of six-packs compared with walk-in customers, who buy an average of two packs.
Answers
Answer:
a. Online customers buy an average of about five packs compared with walk-in customers, who buy an average of about three packs.
what is a good math skill grade? in apex, like a number.
Answers
Answer:
60%
Step-by-step explanation: Apologies if incorrect
18. Analyze Information Isabel made the
following graph to show the daily share
price for Company XYZ. What was the
change in the price from Monday to
Friday?
Answers
The required change in the price is equal to 0.75 cents.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that, Isabel made the following graph to show the daily share
price for Company XYZ.
The price on Monday = 0.75
The price on Friday = 1.50
We need to find the change in price from Monday to Friday. It can be calculated as follows;
Change = 0.75 - 1.50
Change = 0.75 cents
therefore, the required change in the price is equal to 0.75 cents.
Learn more about the unitary method;
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b. The height of the pyramid is 10 cm.
(Lesson 18.2)
Answers
HURRY NEED HEPL WITH THIS MATH
Answers
Answer:
the answer is C
Step-by-step explanation:
Answer:
Its C !
Hope this helps!
:)
Step-by-step explanation:
The steps to convert 18/8 to a decimal are shown below in which step is the first error
Answers
Answer:
I don't understand what your asking
Answer:
You need to add like a b c d
Step-by-step explanation:
they will not know what to reply if you don't add that
10 points please help
Answers
7* 3.5
8* -6
9* 10.899
10* 11.1
11* 2.4
12* 0.06
13* 2.2
14* 15.2
15* 11.7
16* -3.4
explanation: Sorry i couldn’t finish and i hope these are correct! I’m not that good at math but good luck
Type the base. 1/(7 ^ 2)
Answers
Answer:
,,,,,,,,,,,,,, mmmmm mm m m m
Step-by-step explanation:
m mm m m m mm m
The segments shown below could form a triangle. 4, 3, 6. True or false
Answers
Answer: false
Step-by-step explanation:
prove that the sum of the squares of any two odd numbers is always even
Answers
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
Sue has 45 shells in her shell collection. Jared, who just started his collection, has 5 shells. Sue's collection is how many times larger than Jared?
equation:
Answer:
