Consider the parabola given by the equation: y = 1x^2 - 12x + 27
A) the vertex = (_,_)
B) the y-intercept is the point (0,_)
C) find the two values of x that corresponds to the x intercepts of the parabola and write them as a list separated by commas:
X= ___
Answers
Answer:
vertex: (6, -9)
y intercept: (0, 27)
X = 3, 9
Step-by-step explanation:
Finding Vertex (Part A)
Consider the formula -b/2a. This formula gives you the x-coordinate of the vertex.
y = 1x^2 - 12x + 27
a = 1
b= -12
c =27
-b/2a = - (-12)/2(1) = 12/2 = 6 (x-coordinate of vertex)
When solving for the y-coordinate of the vertex you will need to substitute your 'x" back into the equation.
y = 1(6)^2 - 12(6) + 27
y = 36 - 72 + 27 = -9 (y-coordinate of vertex)
--------------------------------------------------------------------------
Y- Intercept (Part B)
When looking for the y-intercept your "x" must always be 0.
Substitute 0 in every "x" in equation.
y = 1(0)^2 - 12(0) + 27
y = 27
y intercept: (0, 27)
------------------------------------------------------------------------------
X- Intercepts (Part C)
To find the values of "x" factor.
y = 1x^2 - 12x + 27
0 = 1x^2 - 12x + 27
0 = (x - 3 )(x - 9 )
(x-3) = 0 (x-9) = 0
x = 3 x = 9
Related Questions
Suppose A={0,12,−3,7,18}, B={−1,5,7,18}, and C={−3,5,9}. What is A∩(B∪C)?
Answers
Answer: {-3, 7, 18}
Step-by-step explanation:
B ∪ C = {-3, -1, 5, 7, 9, 18}
A ∩ (B∪C) = {-3, 7, 18}
please give me a brainliest answer
Answer:
A∩(B∪C)={-3, 7, 18}Step-by-step explanation:
First we look at PEMDAS.
In A∩(B∪C), parentheses come first.
So, we do B∪C.
The ∪ symbolizes union, which means you have to combine the elements of the two sets.
If B={−1,5,7,18}, and C={−3,5,9}, then both of them together is {-3,−1,5,7,9,18}. I used underlining and italics to show where the numbers came from. There is a 5 in both sets, but you only have to put it once.
B∪C={-3,−1,5,7,9,18}.
Now that we have B∪C, we can solve for A∩(B∪C).
∩ means intersection, so you find the elements in both sets. Basically, just look for numbers that appear in both A and B∪C.
B∪C={-3,−1,5,7,9,18}
A={0,12,-3,7,18}
Therefore, A∩(B∪C)={-3, 7, 18}
Hope this helped! <3
pogle...
Drought conditions in Texas are causing
lake levels to drop 3 inches per day.
If it doesn't rain for a week,
then what will the level change
be at the end of the week?
Answers
Answer:
21 inches
Step-by-step explanation:
if its 3 inches everyone day, and theres 7 days a week. that would mean it would drop 21 inches
Coverte 2.75 into fraction
Answers
Answer:
2 3/4 or 11/4
Step-by-step explanation:
2.75 = 11/4 = 2 3/4 as a fraction
To convert the decimal 2.75 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.75 = 2.75 / 1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
2.75 / 1 = (2.75 x 100)/(1 x 100) = 275/100.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(275,100) = 25. So,
(275 ÷ 25)/ (100 ÷ 25) = 11/4 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 275 /100
is also equal to 2 3/4 when expressed as a mixed number.
How to Convert a Decimal to a Fraction - Steps
Step 1: Write down the decimal as a fraction of one (decimal/1);
Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.
Challenge In a company, 95% of the workers are women. If 100 people work for the company who
aren't women, how many workers are there in all?
Answers
Answer:
The answer will be, 105.26
Least common denominator of 4/19 and 7/10
Answers
Answer:
LCD(4/ 19 , 7/ 10 ) = LCM(19, 10) = 2×5×19 = 190 4/ 19 = 40/ 190 7/ 10 = 133/ 190
Step-by-step explanation:
Answer:
Step-by-step explanation:
133/190
Can someone do these two for me please?
Answers
Answer:
3) 2
4) Water's Edge Rafts
Step-by-step explanation:
3) Rate of change is nothing but the slope
Slope formula : y2 - y1 / x2 - x1
13 - 11 / 2 - 1
2/1
2
Rate of change = 2
4) Rate of change : y2 - y1 / x2 - x1
Water's Edge Rafts
36 - 6 / 6 - 1
30/5
6
Water's Edge Rafts' Rate of change = 6
Ryan's Rafts
17.25 - 15.00 / 2 - 1
2.25/1
2.25
Ryan's Rafts' Rate of change = 2.25
6>2.25
So, Water's Edge Rafts' has the highest rate of change
Answer:
2 for # 3
2.25 for # 4
Step-by-step explanation:
15-11/3-1
=2
(19.50-15)/(3-1)
2.25
2) A rectangular solid measures 150 cm by 100 cm by 200 cm Calculate the volume in various units:
a. In cm3
b. In dm3 {show conversion factor}
C. In gallons (show conversion factor) (hint: 1dm3 = 1L)
Answers
Answer:
a. In cm3 - 3 Cubic Meters
b. in dm3 - 3,000 Cubic Decimeters
c. In gallons = 792.51615707445 gallons
d. In liters (extra) - 3000.00000000001819
Step-by-step explanation:
RP = l x w x h
V = 3,000,000
Rectangular solid is a rectangular prism - To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Glenn bought a $5 coffee and four magazines at the airport. If he spent a total of $25, how much did each magazine cost?
Answers
Answer:
Each magazine would cost 5 dollars.
Step-by-step explanation:
If he originally started with $25 then spent $5 he would then have $20 dollars left.
If he then bought 4 magazines using the last of his $20 (ignoring sales tax) you would have to divide $20 by 4 to get a total of $5 dollars for each magazine.
I hope this helps :D
Simplify 2^4 x 2^3 / 2^5 x 2^4
In index form
Answers
Answer:
1/2^2
Step-by-step explanation:
There can't be a negative exponent
Answer:
2^6 would be index form
Step-by-step explanation:
A submarine was situated 800 feet below sea level. If it ascends 350 feet,
what is its new position?
Answers
Answer:
450 feet below sea level
Step-by-step explanation:
ascend = move up = add
800 ft below sea level = -800
-800 + 350 = -450
Find the Quadratic function model that best fits this data.
Answers
Answer:
your answer is as follows
Step-by-step explanation:
the first option fits.. I.e., y=x^2-12
slope intercept form
5y=x-4 with points(-2,2)
Answers
Y= 1/5x - 4/5
Which of these numbers is the greatest? No links
A. 2.3 x 10^3
B. 8.6 x 10^3
C. 1.2 x 10^4
D. 3,600
Answers
Answer:
c. 1.2 * 10^4
Answer : D. 3,600
sorry if that's wrong
Please help me I need this for tonight
Answers
because if you substitute 4 into x you do 4+8 thats 12
3(4) = 12
so therefore its C
Answer:
It is C because 4+8=3(4)
That's =12 =12
-(28 - 4x) = -92
Pls
Answers
Answer:
=-16
Step-by-step explanation:
28-4x=92
-4x=92-28
-4x=64
X=-16
If –7 + 13i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
Group of answer choices
7 + 13i
-7 - 13i
20i
-13i
Answers
Answer:
2nd option -7 - 13i
Step-by-step explanation:
took review
Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model
shown for each question using the ratio given. Then, calculate your answer from the model and explain you
reasoning.
How many pairs of socks are brown in a package of 10 pairs of socks?
Answers
Answer:
6 brown socks are in a package of 10 pairs of socks
MAX POINTS!!! Write and solve a system of equations. Be sure to label the variables. The difference of two numbers is two. Two times the first number plus the second number is thirteen. What are the numbers? Show and explain all work.
Answers
Answer:
5 and 3Step-by-step explanation:
Let the numbers be x and y.
The equations are:
x - y = 22x + y = 13Add up the equations to eliminate y and solve for x:
x - y + 2x + y = 2 + 133x = 15x = 15/3x = 5Now find the value of y:
y = x - 2 y = 5 - 2 y = 3Let the numbers be a and b
a-b=2--(1)2a+b=13---(2)Adding both
[tex]\\ \sf\longmapsto 3a=15[/tex]
[tex]\\ \sf\longmapsto a=5[/tex]
Putting in eq(1)
[tex]\\ \sf\longmapsto 5-b=2[/tex]
[tex]\\ \sf\longmapsto b=5-2[/tex]
[tex]\\ \sf\longmapsto b=3[/tex]
HELP I DONT KNOW THE ANSWER
Answers
9514 1404 393
Answer:
3/4; 1/4, 1/4, 1/4
Step-by-step explanation:
The intent here is to let you demonstrate your understanding that multiplication by an integer is the same as repeated addition.
Your knowledge of fractions tells you ...
[tex]\dfrac{1}{4}\times3=\dfrac{3}{4}[/tex]
The factor of 3 means this is equivalent to adding 1/4 a total of 3 times:
[tex]\dfrac{1}{4}\times3=\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}[/tex]
I need help with this whats the answer
Answers
Answer:
i have no clue sorry try 180 - 135
Step-by-step explanation:
identify each classification of the real number system that can describe the set of numbers shown {3, 9, 147, 400}
) Integer
) Irrational
) Real
) Rational
) Whole
) Natural
Answers
Step-by-step explanation:
all of these 4 numbers are
integer (whole numbers positive and negative).
real (every whole number can be written as e.g. 3.0 and is part of the real numbers).
rational (as any whole number can be written as e.g. 3/1 and is part of the rational numbers).
whole (no fractions).
natural (they are in the set of [1, 2, 3, ... infinity) ).
the only thing here they are not is irrational, as to be irrational they would need to have an infinite sequence of digits after the decimal point without any repeating pattern.
Evaluate -xy^2-2y for x=-4 and y=-2
Need help
Answers
Drag the tiles to the correct boxes to complete the pairs.
PQRS is a parallelogram. and are diagonals. Match each element to its value.
value of
length of
value of
length of
16
arrowRight
4
arrowRight
3
arrowRight
6
arrowRight
Answers
Answer:
16 ==>> Length of PR
4 ==>> Value of A
3 ==>> Value of B
6 ==>> Length of QS
Step-by-step explanation:
==>> Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T
--
==>> Thus the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B [add 3 and subtract B from both sides]
B = 3
A + 4 = 2A [subtract A from both sides]
4 = A
--
==>> Then to find the length of the diagonals: Plug the variables in and add both sides.
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
The correct matching of the elements to their values are:
16 ==>> Length of PR4 ==>> Value of A3 ==>> Value of B6 ==>> Length of QSWhat is a Parallelogram?This refers to the plane that has four sides and their opposite sides are parallel.
Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:
This means that the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B
B = 3
A + 4 = 2A
4 = A
Length of the diagonals:
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
Read more about parallelograms here:
https://brainly.com/question/3050890
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Since 16 > O what does that tell you about the
number of solutions.
No real solutions
2 real solutions
1 real solution
Answers
Answer:
2 real solution
Step-by-step explanation:
3xghrur
Which expressions are equivalent to 1−2x−1.7 ?
Select all correct answers.
−0.7−2−x
−2(x+0.35)
−x−x−0.7
−2x−0.7
Answers
Answer:
-0,7 - 2x
Step-by-step explanation:
1 - 2x - 1,7
1 - 1,7
= -0,7 - 2x
Answer:
b. c. d.
not -0.7-2-x
Step-by-step explanation:
the ratio of the number of girls to all students in the class is 4:9 can there be 20 students in that class?
I need help asap my sister isn't here so i can't ask her for help
Answers
Answer:
nooo.......how there can only be 20 students.....!
The answer is no!
There can't be 20 students in that class because the ratio is 4:9 so its either 4 boys and 9 girls or 4 girls and 9 boys.This is a total of 13 students because (4+9=13).The answer is That there can not be 20 students in that class because there is only 13 students.
Answer please! (branliest)
Answers
Answer:
x = 1/6
hopefully
Option A
Draw the reflection of the triangle across the y-axis.
Answers
the points you plot are going to be: (-2,4), (-6,8), and (-3,3)
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
the answer to that I think is a or c. either one of those.
A drawer contains black socks and white socks. 80% of the socks are white socks. A number generator simulates randomly selecting 10 socks from the drawer. The number generator is used 10 times and the number of white socks in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?
The number generator is fair. It picked white socks half of the time.
The number generator is not fair. The correct percentage of white socks was not chosen at all.
The number generator is not fair. In three experiments, it picked white socks 90% of the time.
The number generator is fair. It picked the approximate percentage of white socks most of the time.
Answers
Answer:
The number generator is fair. It picked the approximate percentage of white socks most of the time.
Step-by-step explanation:
Just took the test :3
Description about the number generator : The number generator is fair. It picked the approximate percentage of white socks most of the time.
What is randomly selection?Random selection is a part of the sampling technique in which each sample has an equal probability of being chosen.
According to question
White socks = 80%
Black socks = 20%
Randomly selecting 10 socks from the drawer .
Process repeated 10 times
According to dots on plot
Number white socks was selected in each round is 7,7,7,8,8,8,8,9,9,9 .
If we evaluate the number generator :
80% of the socks are white, and each trial selects 10 socks. 80% of 10 is 8, which is what the number generator picked most of the time.
That means The number generator is fair.
Hence, The number generator is fair. It picked the approximate percentage of white socks most of the time.
To know more about Randomly selecting here :
https://brainly.com/question/26755916
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