the answer for:
Consider the quadratic equation x^2 - 6x - 16 = 0.
A. Solve the equation, and discuss how the type of roots affects the appearance of the graph of the function y = x^2 - 6x - 16.
B. What is the vertex of the graph of x^2 - 6x - 16 = 0?
C. What is the equation of the axis of symmetry?
D. Use this information to draw a rough sketch of the graph of the function.
Answers
Answer:
A. Solution=(x-8)(x+2),Zeros are 8,-2
The integer coefficient of x² is >1 and so the graph which is a parabola,curves downward and opens upward
B. The vertex or turning point is the minimum point =-b/2a=-(-6)/2(1)=3
f(3)=(3)²-6(3)-16=-25
the vertex occurs at y=-25
C. Equation of the axis of symmetry =-b/2a
which is x=3
Related Questions
what is the sales tax of 9.25% on a tv costing 234.25
Answers
Answer:
[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Question 1 of 5 ? Marissa is throwing a ball across a 36-yard field. She threw it 3 of the way across the field. How far did Marissa throw the ball?
Answers
Answer:
12
Step-by-step explanation3%36
Which set best describes the numbers used on the scale for a standard thermometer?
A real numbers
B whole numbers
C integers
D rational numbers
Answers
equivalent answers for 64 to the power of 2/3
Answers
Answer:
16
Step-by-step explanation:
Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:
[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]
As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.
[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]
Both the original problem (64^2/3) and the converted formula can be put into a calculator.
Simplify (if you want to)
[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]
64 to the power of 2/3 is 16.
X^2-x-12, please show your work so I can know how to do it. Thank you:))
Answers
then split it and factor x(x+3)-4(x+3)
then you get (x-4)(x+3)
solve for answer z/7+19>3.5
Answers
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
find the decimal number exactly halfway between 1.01 and 1.02
Answers
Answer:
1.015
Step-by-step explanation:
Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.
Answer:
0.01
Step-by-step explanation:
because if u subtract 1.01 from 1.02 it will give you the answer
I beg you to help me .
Answers
Answer:
16+3=y
y=19
Step-by-step explanation:
Help PLS anybody good at GEOMETRY?!
NUMBER 15
Answers
Find the value of X*
X=
X х
8
12
Answers
Answer:
12
Step-by-step explanation:
This is a proportion question.
8/x = 12/(12 + 6)
8/x = 12/18 Reduce the right hand side
8/x = 2/3 Cross multiply
2x = 8*3 Combine the right side
2x = 24 Divide by 2
x = 24/2
x = 12
Mrs. King has a stack of papers to grade that contains 12 boy's papers and 8 girl's papers. What is the probability that the first paper Mrs. King's grades will be a boy's paper? *
Answers
12 boys and 8 girls
That means that there are 20 kids!
12/20 is equal to 60%
There is a 60% chance that the first paper will be a boys
Please tell me if this is incorrect
Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D
Answers
Answer:
B) A and C
Step-by-step explanation:
A and C are negative reciprocals of each other.
Because I had the same question and got it right
Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution
Answers
3x - x + 2 = 11x + 9
2x + 2 = 11x + 9
X= - 7 over 9
The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
learn more about subtraction property of equality here :
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round 0.927 to the nearest hundreth
Answers
Find all solutions of
- 2r +4-8=0
Answers
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
Karate Dojo charges $25 fee and $50 each month for Karate classes.
Write a linear equation that represents all of the charges from Karate Dojo.
Answers
25 initial fee
50 is the charge per month
x is month
y is outcome
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
I will make you brainliest if correct. please explain how you got it if you can
Answers
susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
Answers
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answers
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
Can someone help me with this
Answers
Answer:
x=125°
Step-by-step explanation:
180-(25+30)= 125°
hope it helps!
Can someone please help me with solving this maths question?
Answers
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Answers
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
576 is 450% of what number ?
Answers
Can anyone help me with this (9+3n)+(7+4a)
Answers
Answer:
Step-by-step explanation:
(
9
+
3
)
+
(
7
+
4
)
(9+3n)+(7+4a)
(9+3n)+(7+4a)
Simplify
1
Rearrange terms
(
9
+
3
)
+
(
7
+
4
)
({\color{#c92786}{9+3n}})+(7+4a)
(9+3n)+(7+4a)
(
3
+
9
)
+
(
7
+
4
)
({\color{#c92786}{3n+9}})+(7+4a)
(3n+9)+(7+4a)
2
Rearrange terms
3
Eliminate redundant parentheses
4
Add the numbers
5
Rearrange terms
Solution
4
+
3
+
1
6
50,6291583.9741
What place value does 4 hold in the number above?
Answers
number 4 is in the thousanths place
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is
either 4 or 20 or 34 units because translations
decrease or increase or preserve length.
Is the resulting lin segment 4 or 20 or 34? And do the translations decrease or increase or preserve? That is my question please help me.
Answers
Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.
A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
Answers
9 = 3(6) + b
9 = 18 + b, b = -9
Y = 3x - 9
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
Learn more about the straight line here:
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1) Choose the correct answer.
Which of the following statements is NOT a reasonable statement about geometry?
A.You need to take geometry so you will learn how to drive farther and faster.
B.You need to take geometry so you will learn concepts about shapes and relationships that you
can apply to many jobs or careers in the future.
C.You need to take geometry so you will earn the credit toward graduation.
D.You need to take geometry so you will learn to apply logical reasoning skills that you can use
in almost every aspect of life.
Answers
Answer:
A
Step-by-step explanation:
Geometry has nothing to do with driving.
The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?
Answers
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x
Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1
Perimeter of a rectangle = 2(length + breadth)
50 = 2(2x + 1 + x)
50 = 2(3x + 1)
50 = 6x + 2
6x = 50 - 2
6x = 48
x = 48/6
x= 8
Width = 8ft
Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft
Area = Length × Width = 17 × 8 = 136ft^2