Answers
Given:
The graph of a quadratic function [tex]y=x^2-4x+3[/tex].
To find:
(a) The coordinates of the turning point.
(b) The roots of the equation [tex]y=x^2-4x+3[/tex]
Solution:
(a)
From the given graph it is clear that first the graph is decreasing after that it is increasing. So, the minimum point is the turning point.
The turning is at (2,-1) because the distance between the turning point from the y-axis is 2 and from the x-axis is 1 in the downward direction.
Therefore, the coordinates of the turning point are (2,-1).
(b)
The x-intercepts are the roots of an equation because roots are the x-coordinates of the points where the graph intersect the x-axis.
From the given graph it is clear the graph intersect the x-axis at x=1 and x=3.
Therefore, the roots of the given equation are 1 and 3.
Related Questions
Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality
Answers
Answer:
1/2
Step-by-step explanation:
Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality
From the above question, we can see that the Number of Chocolate chips is directly proportional to the number of Dozen cookies
Hence:
C = Chocolate chips
D = Dozen cookies
Hence:
C ∝ D
C = kD
Where k = Constant of Proportionality.
We are told that , the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies.
Hence:
2 = 4k
k = 2/4
k = 1/2
Also, He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips.
3 = 6k
k = 3/6
k = 1/2
Therefore, from the calculations above, the constant of proportionality is 1/2
help please
Determine whether the triangles are congruent by AA, SSS, SAS, or not similar.
Answers
Answer:
sas
Step-by-step explanation:
I need help pls pls pls
Answers
Answer: The answer may be 26%
Step-by-step explanation: Have a brilliant day mate- Lily (^_^)
If 4 notebooks and 3 packages of pens cost $7.43 and
5 notebooks and 2 packages of pens cost $7.03, what is the
cost of 1 notebook?
Answers
Answer:
i believe its one of these!
A. $0.89 B.$0.79 C. $1.29
Step-by-step explanation:
use elimination to solve each system of equations
Answers
2: x=-2 y=-6
3: x=3 y=-1
3 1/3 + (-2 1/4) + 1 5/6
Help me out?
Answers
Answer:
its the second one
Step-by-step explanation:
? pls help lol ??????????????????
Answers
Answer:
d is not a function
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO HOWEVER GETS THIS FIRST :D
Which of the following is equivalent to 2 · (4 · 3)?
A. 2 + (4 + 3)
B. 2 x (6 x 4)
C. (2 x 4) x 3
D. 8
Answers
Answer:
C. (2 x 4) x 3
Step-by-step explanation:
Solve 2 x (4 x 3) = 24
Solve the other values to find one equivalent.
A. 2 + (4 + 3) = 9
B. 2 x (6 x 4) = 48
C. (2 x 4) x 3 = 24
D. 8 = 8
This leaves C as the only equivalent option.
the measurement of the angle between West 1st Street and North Main Street is 30 ° less than the measurement of the angle between West 1st Street and South Main Street what is the measurement of the angle between North Main Street and East 1st Street
60 °
75 °
90 °
105 °
Answers
Answer:
105
Step-by-step explanation: because when you look at North main Street and East 1st Street the angle is obtuse and 105 is the only obtuse angle.
A student graphed the position of a cart during a 7-second time interval.
Which statement best describes the cart?
Answers
Answer:
The car moved at a constant velocity of 0.5 m/s for the entire 7 seconds
Step-by-step explanation:
just did it
3x + 8= 3x+
What value could you write in after 3x that would make the equation
true for:
1. no values of x ?
2. all values of x ?
3. just one value of x?
Answers
Answer:
Step-by-step explanation:
Answer:
(see my explanation)
Step-by-step explanation:
Basically,
For no value it can be anyhting but 8.
For all values it HAS to be 8.
For just one anything that has "x" in it.
Example:
1. -9
2. +8
3. 7+x or 2x
NOTE: this varies depending on the varible after the x value. (It's not always 8)
☝Example:
5x+2 = 5x + _____
1. 3
2. +2
3. x
PLEASE HURRY Figure ABCD is transformed to figure A'B'C'D':
5
4
3
B
2
Ic
TO
1
А
10
-1
2
2
3.4 5
Yc
A
D
Which angle in Figure A'B'C'D' is equal to ZDAB?
D'A'B'
ZA'B'C'
2B'C'D'
dhe
C'D'A'
Answers
Answer:
∠D'A'B'
Step-by-step explanation:
12y - 4 = 168
What is y? Use inverse operation
Answers
Answer:
y=14.33
Step-by-step explanation:
Add 4 to both sides you should get 12y=172Now, divide both sides by 12 and you should get y=14.33Answer:
the answer is 14.33
Step-by-step explanation:
first you do 12y-4=168
+4=+4
---------
0=172
so now the eqation is 12y=172
then you divide 172/12=14.33
6a+5a=-11 How do I begin to even solve this?
Answers
Answer:
-1 = A
Step-by-step explanation:
First, you add 6+5, which equals 11. Then you have 11a = -11. Since all you have to do is multiply 11 by one and you get 11, add a negative symbol in front of it. 11 x -1 = -11
Hope this helps, it's very simple!
What is the surface area of this rectangular pyramid?
8.1 cm
9.3 am
12 cm
5 cm
Answers
Will give Brainliest!!!
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Plz answer fast I need it done soon
Answers
Answer:
The correct answer is B
Step-by-step explanation:
.
Graph the image of the figure using the transformation given.
(its multiple choice!)
Answers
The original image undergoes reflection across x=-3.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
In the given graph DEFG is the original image.
D'E'F'G' is the new image after the transformations applied.
A reflection is defined by the axis of symmetry or mirror line. In the above diagram, the mirror line is x = -3.
Under reflection, the shape and size of an image is exactly the same as the original figure.
This type of transformation is called isometric transformation.
Hence, the original image undergoes reflection across x=-3.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ5
Help, please
y=x+2
y=-2x+5
The solution is the intersection of the two lines.
Find the coordinates of the intersection point.
Answers
Answer:
(1,3)
Step-by-step explanation:
yadadadasa word awords
3x = 3
x = 1
(Sub x back in)
Y = (1) + 2
Y = 3
Intersection (1, 3)
3(3x+2)-2x=7x+6
help
Answers
Answer:
x = all real numbers
Step-by-step explanation:
3(3x+2)-2x=7x+6
Distributive property: 3(3x+2) = 9x + 6
9x + 6 - 2x = 7x + 6
Combine like terms: 9x - 2x = 7x
7x + 6 = 7x + 6
Since the two sides are completely the same, x = all real numbers (no matter what value you put in for x it will always be true)
Answer:
R
Step-by-step explanation:
9x+6-2x=7x+6
9x-2x=7x
7x=7x
S+5=39
S+5-5=39-5
S=34
Answers
Evaluate -20a - 65 for a = 2.7
Answers
Answer:
-119
Step-by-step explanation:
Substitute a for 2.7 since a = 2.7
Then multiply -20 by 2.7 = -54
Next subtract -54 by 65
Finally, you have your answer!
Han states that (b+6) has one factor. Explain why Han's thinking is correct.
1.The hidden factor of one does not count in the reporting.
2.The number 6 is the only number in the expression.
3.Anything in parentheses are considered factors.
4.If there is more than one term, then there is only one factor.
Answers
Answer:
2
Step-by-step explanation:
6 is not a factor only terms count as factors
The number 6 is the only number in the expression. Then the correct option is 2.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ (b + 6)
The number 6 is a factor only terms count as factors because the variable b is the multiple of 6.
The number 6 is the only number in the expression. Then the correct option is 2.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
Information is given about a polynomial f(x)
whose coefficients are real numbers. Find the
remaining zeros of f.
Degree 4; zeros: i, 1 + i.
0 -1 +i, 1- i
B -i, -1 + i
C 1-i
D -i, 1-i
Answers
Answer:
Are u sure u typed u it correctly?
Step-by-step explanation:
Select the correct infinitive.
¿A dónde van Uds. los domingos?
_____ a la iglesia.
Answers
Answer:
la respuesta es voy a la iglesia corona plis
A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this height is: (use whatever strategy you would like)
Answers
The question is incomplete. The complete question is :
A sign in front of a roller coaster says ''you must be 40 inches tall to ride". What percentage of this height is A). 34 inches and B). 54 inches
Solution :
It is given that " You must be 40 inches tall to ride."
The formula used will be :
% [tex]$=\frac{V}{T} \times 100$[/tex]
Where, V is the value of the percentage to be calculated
T is the value out of which the percentage of V is to be calculated.
A). What percentage of 40 inches is 34 inches
Where, V is 34 inches and T is 40 inches.
Therefore, the percentage of 34 inches in 40 inches will be
[tex]$\frac{34}{40} \times 100$[/tex]
= 85 %
B). What percentage of 40 inches is 54 inches
Where, V is 54 inches and T is 40 inches.
Therefore, the percentage of 54 inches in 40 inches will be
[tex]$\frac{54}{40} \times 100$[/tex]
= 135 %
Help or ill get held back
Answers
Answer:
C. 1 1/2
Step-by-step explanation:
As you can see a cod fish is 1/2 a foot and 3*0.5 gives us 1 1/2.
5.
Which two expressions are equivalent?
Answers
Answer:
Option c
My logic:
The commutative property of multiplication states that you can multiply a string of numbers in any order and receive the same answer.
Hope this helps!
The following ordered pairs are solutions
to an exponential equation:
(0, 1), (1, 3), (2, 9), (3, 27).
Write the equation.
Answers
Multiply the radical expression:
6 3.2 4
Answers
Answer:
answer is 24_/3.
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