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
A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?
Answers
Answer:
6.58 years
Step-by-step explanation:
Step one:
Given data
Principal=$9500
rate= 5%= 0.05
Final amount= $13200
Required:
The time t
Step two
The expression for the compound interest is
[tex]A= p(1+r)^t[/tex]
t = ln(A/P) / r.
substitute
t = ln(13200/9500) /0.05
t= ln(1.39)/0.05
t=0.329/0.05
t=6.58 years
Answer:
6.7
Step-by-step explanation:
ppppppppllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz HHHHEEEEEEEEEEELLLLL-PPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEE
Answers
Answer:
[tex]\frac{1}{5}[/tex] divided by 4
Step-by-step explanation:
97.8 to the nearest tenth.
Answers
Answer: it is already rounded to the
If you mean the nearest tenths then the answer is 97.8 but if you mean the nearest tens then the answer is 100 hope this helps :)
Step-by-step explanation:
PLEASE HELP!!! THIS IS 25 POINTS!! ILL MARK BRAINLIEST PLEASE HELP!
Answers
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Answers
Answer:
103
Step-by-step explanation:
89+97+112+104+113=515
515÷5=103
103 is the final answer, hoped this helped.
ALOT OF POINS MARKING AS BRAINLIST
Answers
Answer:
c
Step-by-step explanation:
please help meeee
from edge about graphing an absolute value function
determine the domain and range of the function f(x)= -|x| + 2.
the domain of the function is__________
the range of the function is__________
the options are: all real numbers, all numbers greater than or equal to 2, and all numbers less than or equal to 2
Answers
Answer:
For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers
the range of the function is: all numbers greater than or equal to 2
Step-by-step explanation:
We need to find the domain and range of the function f(x)= -|x| + 2.
Domain: Domain is defined as all the possible x values of x for which the function is true.
Range: Range is defined as all the possible y values.
So, For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers (the function is true for all real numbers)
the range of the function is: all numbers greater than or equal to 2
(When solving the equation we will have value of f(x) equal or greater than 2)
2+2=?
A- 4
B- no it's A
C- nop look at B
D- come on really? Go to College
Answers
Answer:
E- 48-x+y=1.2353783763
You need 368cm of tape for a project, how many decimeters is this?
Answers
..............36.8 dm
10 points ! I’m really trying to pass this but I just don’t get it. help pls! :((
Answers
Answer:
how about you stop being confused
Step-by-step explanation:
just read the question
expand (4x-2) (3x + 1)
Answers
Answer: i believe it is 12x²−2x−2
Step-by-step explanation:
(4x−2)(3x+1)
=(4x+−2)(3x+1)
=(4x)(3x)+(4x)(1)+(−2)(3x)+(−2)(1)
=12x²+4x−6x−2
=12x²−2x−2
hope this helps :)
NEED HELP ASAP!! PLEASE
Please look at image before answering.
Answers
Answer:
B
Step-by-step explanation:
i pretty sure its a might be wrong tho but im pretty sure.
HELP IF YOU SEE RIGHT AWAY
Answers
second one, x = 10, 5x = 50, 2x = 20
Answer:
For the first picture, x = 126 and therefore x - 30 = 96
Second picture:
Step-by-step explanation:
since the sum of the angles is 540°, we can say that
x + x + (x - 30) + (x - 30) + (x - 30) = 540
5x - 90 = 540
5x = 630
x = 126
therefore x - 30 = 96°
_____________________________________
2nd picture
we use the same method as we did in the first picture:
5x + 2x + 110 = 180
7x + 110 = 180
7x = 70
x = 10, 5x = 50, 2x = 20
can anyone do division on paper plsss
Answers
Answer:
738.75
Step-by-step explanation:
i hope this helps im sorry if im wrong
Step 1: D for Divide. How many times will 80 go into 59100 ? ...
Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: .
Step 3: S for Subtract. Next you subtract. ...
Step 4: B for Bring down. ...
Step 1: D for Divide. ...
Step 2: M for Multiply. ...
Step 3: S for Subtract.
Find the measure of each missing angle
Angle 21 =
Angle 22 =
Angle 23 =
What is the sum of angles 21,22 and 23?
Answers
Answer:
Step-by-step explanation:
Angle 21 is calculated like this:
180 - 70 - 50 = 60 because a line is 180 degrees.
Angle 22 = 50 degrees because it is opposite to the upper angle of 50 degrees.
Angle 23 = 70 degrees because it is also opposite to the upper angle of 70 degrees.
The sum of the angles would be
60 + 50 + 70 = 180 degrees
The price of a television is $245. The sales tax rate is 8%. What is the amount of sales tax?
Answers
Answer:
$19.60
Step-by-step explanation:
245 is 100% of the total.
x is 108% of the total.
245/100 = x/108
245(108) = 26460
26460/100 = 264.6
264.6 - 245 = 19.6
A n s w e r :
$ 1 9 . 6 0
E x p l a n a t i o n
T a k e t h e a m o u n t a n d m u l t i p l y b y t h e t a x r a t e t o
d e t e r m i n e t h e s a l e s t a x
t a x = 2 4 5 * 8 %
C h a n g e t o d e c i m a l f o r m
t a x = 2 4 5 * . 0 8
= 1 9 . 6 0
what is the value of x in the triangle 50° and 55° in the bottom with x at the top 50 on the left 55 on the right
Answers
So, we know that the internal angles of a triangle add up to 180 degrees, yes?
60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.
Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!
Hope I helped!! :)
Foot Locker is selling a pair of Nike for $60 that has been discounted by 25%. What was the original selling price?
Answers
0.65 T = ____ lb how do i awensewr this
Answers
Answer:1,300 pounds
Step-by-step explanation:
I believe ur converting tons to pounds right?
Answer:
1433.005 is ur answer
Step-by-step explanation:
what is (2x² - 5x² - 6x + 7) + (5x³ + x² + 4x - 13)?
I will give brainiest to the answer with explanation :
Answers
Step-by-step explanation:
Step-by-step explanation:
Step-by-step explanation:[(4x^3+2x^2-5)+(15x-x^3-x^2)]-[(9+6x-2x^2)+(4x-1-5x^3+x^2)]
Step-by-step explanation:[(4x^3+2x^2-5)+(15x-x^3-x^2)]-[(9+6x-2x^2)+(4x-1-5x^3+x^2)][4x^3+2x^2-5+15x-x^3-x^2]-[9+6x-2x^2+4x-1+5x^3+x^2]
Step-by-step explanation:[(4x^3+2x^2-5)+(15x-x^3-x^2)]-[(9+6x-2x^2)+(4x-1-5x^3+x^2)][4x^3+2x^2-5+15x-x^3-x^2]-[9+6x-2x^2+4x-1+5x^3+x^2][3x^3+x^2+15x-5]-(8+10x-x^2-5x^3]
Step-by-step explanation:[(4x^3+2x^2-5)+(15x-x^3-x^2)]-[(9+6x-2x^2)+(4x-1-5x^3+x^2)][4x^3+2x^2-5+15x-x^3-x^2]-[9+6x-2x^2+4x-1+5x^3+x^2][3x^3+x^2+15x-5]-(8+10x-x^2-5x^3]3x^3+x^2+15x-5-8+10x-x^2-5x^3
Step-by-step explanation:[(4x^3+2x^2-5)+(15x-x^3-x^2)]-[(9+6x-2x^2)+(4x-1-5x^3+x^2)][4x^3+2x^2-5+15x-x^3-x^2]-[9+6x-2x^2+4x-1+5x^3+x^2][3x^3+x^2+15x-5]-(8+10x-x^2-5x^3]3x^3+x^2+15x-5-8+10x-x^2-5x^3-2x^3+25x-13
Step-by-step explanation:[(4x^3+2x^2-5)+(15x-x^3-x^2)]-[(9+6x-2x^2)+(4x-1-5x^3+x^2)][4x^3+2x^2-5+15x-x^3-x^2]-[9+6x-2x^2+4x-1+5x^3+x^2][3x^3+x^2+15x-5]-(8+10x-x^2-5x^3]3x^3+x^2+15x-5-8+10x-x^2-5x^3-2x^3+25x-13Hope it helps you
Answer is -2x^3 +25x-13
Answer:
(2x² - 5x² - 6x + 7) + (5x³ + x² + 4x - 13)
= -3x² - 6x + 7 + 5x³ + x² + 4x - 13
= 5x³ - 2x² - 2x - 6
Step-by-step explanation:
a=zm+z solve for m please help!!!!!
Answers
Answer:
(a-z)/z = m
Step-by-step explanation:
a = zm+z
Subtract z from each side
a-z = mz+z-z
a-z = mz
Divide by z
(a-z) /z = mz/z
(a-z)/z = m
Solve the given system by substitution.
Answers
Answer:
(-3, -15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
n = 5m
n = 2/3m - 13
Step 2: Solve for m
Substitution
Substitute in n: 5m = 2/3m - 13Subtract 2/3m on both sides: 13/3m = -13Divide 11/3 on both sides: m = -3Step 3: Solve for n
Define equation: n = 5mSubstitute in m: n = 5(-3)Multiply: n = -15Answer:
Step-by-step explanation:
5m = 2/3m - 13
15m = 2m - 39
13m = -39
m = -3
n = 5(-3)
n = -15
(-3, -15)
3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no
Answers
9514 1404 393
Answer:
(g, b) = (70, 0), (56, 10), (42, 20)
Step-by-step explanation:
The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.
The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).
Of those listed, the possible combinations are ...
(g, b) = (70, 0), (56, 10), (42, 20)
Which of the following is not an ordered pair from the function f(x) = -3x + 4?
A. (2,-2)
B. (5, -11)
C. (-3, 13)
D. (-6, 21)
Answers
Explanation: For this problem you can substitute f(x) and x for 21 and -6 respectively.
Thus, we have 21=-3(-6)+4
The correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.
To determine which of the ordered pairs is not from the function f(x) = -3x + 4, we need to substitute the x-value of each ordered pair into the function and check if it matches the corresponding y-value.
A. (2, -2)
Substituting x = 2 into the function: f(2) = -3(2) + 4 = -6 + 4 = -2
The y-value (-2) matches the given ordered pair. This is a valid solution.
B. (5, -11)
Substituting x = 5 into the function: f(5) = -3(5) + 4 = -15 + 4 = -11
The y-value (-11) matches the given ordered pair. This is a valid solution.
C. (-3, 13)
Substituting x = -3 into the function: f(-3) = -3(-3) + 4 = 9 + 4 = 13
The y-value (13) matches the given ordered pair. This is a valid solution.
D. (-6, 21)
Substituting x = -6 into the function: f(-6) = -3(-6) + 4 = 18 + 4 = 22
The y-value (21) does not match the given ordered pair (-6, 21). This is not a valid solution.
Therefore, the correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.
Learn more about the set of ordered pairs here:
https://brainly.com/question/10197233
#SPJ4
Here are the first terms of an arithmetic sequence
5,12,19,26
Write down an expression in terms of n for the nth term of the sequence
Answers
Step-by-step explanation:
I have attached the answer above
help pls :p
1. Measure of each angle in the equilateral triangle is represented by the expression 2X +4 what is the value of X?
2. The sides of the triangle have lengths of 3 cm 8 cm and 10 cm if the smallest
side of a similar triangle has a length of 12 cm what must be the length of the longest side of this similar triangle?
3.
Answers
Answer:
1 x=28
2 40
Step-by-step explanation:
I NEED SOME HELP!!!
Ellena knows that 1/5 written as a decimal is 0.2. How can Ellema use this information to find the decimal equivalent for 9/5 without doing 9 divided by 5?
Answers
Answer:
Adding up 0.2 till it reaches 9 times
Step-by-step explanation:
Brainlliest pls
how do you find the slope intercept on a graph?
Answers
Answer:
The equation for slope-intercept form is y=mx+b In this form, m is the slope of the line and the b is the y-intercept. or rise/run
Step-by-step explanation:
Answer:
The rose over run so the difference vertical/ difference horizontal
Step-by-step explanation:
Multiply
(1.4 x 105)(2 x 107)
Answers
Answer:
31458
Step-by-step explanation:
(1.4 x 105) = 147
(2 x 107) = 247
147 x 247 = 31,458
Are these triangles similar and why
Answers
Answer:
can give me a picture
Step-by-step explanation: