Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
Plzzz help meeeeeeee
Can someone help me answer this
Monday 4hours and 30minutes were worked
do 12-8 then take the thirty minutes and add it on to the difference
because that is the time she is working
happy to help plz mark brainliest
Find the value that makes the equation true 18x-23=1+6x
The points given in the table lie on a line. Find the slope of each line.
Answer:
-2.5
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.
Let's use the first two points to find the slope: (0,9), (2,4)
(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5
The run would be 2, as 2-0 = 2.
Therefore the slope would be: -5/2 = -2.5
Hope this helped!
Find the midpoint of the line segment joining points A and B.
A(8,-5); B(6.1)
The midpoint of the line segment is (Type an ordered pair.)
Answer:
(7,-2)
Step-by-step explanation:
6+8÷2=7
1-5=-4÷2=-2
I NEED YOUR HELP PLEASE
Answer:
Sure
Step-by-step explanation:
What is the question?
PLZ HELPPPPP WILL GIVE BRAINLIEST AND NO WRONG ANSWER PLZ
Answer:
D
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
D. because it has a proper domain and range and no other answer has correct domain/range. Therefore, D is the answer.
An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer
Answer:
11.77
Step-by-step explanation:
1000÷85=11.77
11.77×85=1000
Help
PLZ HELP I’m begging u
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
the shop pays workers $14.25 per hour plus 5.5% commision. If someone works 18 hours and sells $240 worth of merchandise, what is the total amount of their paycheck for this pay period?
Answer:
Their paycheck will be $269.70
Step-by-step explanation:
18x14.25=256.50+13.20=269.70
35 is what percent of 50?
Answer:
17.5
Step-by-step explanation:
35% of 50 is 17.5
The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)
Answer:
c
Step-by-step explanation:
Since the image was created by reflecting across the x-axis,
that means that the original triangle was in the fourth quadrant
the image however is in the first quadrant
the coordinates of something in the fourth quadrant is (x, -y)
the coordinates of something in the first quadrant is (x, y)
so the answer is "c" since (x, -(y)) = (x, -y)
Which two points on the number line represent numbers that can be combined to make zero?
Answer:
B and D I think.............
Answer:
B and D
Step-by-step explanation:
a table cell phone 33% off the sale price is $536
Answer:
Its new price is 176.88
Step-by-step explanation:
change the 33% to a decimal (.33) then multiply the decimal with the 536
looks something like this:
536(.33)
then solve.
Hopes this helps.
Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent at the book store was $17. The equation d minus 12.50 = 17 can be used to represent this situation, where d is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?
d = 17 minus 12.50
d = 17 + 12.50
d minus 12.50 = negative 17
d + 12.50 = 17
Answer:
choice 2
Step-by-step explanation:
d - 12.50 = 17
d > 17 > 12.50
d = 17 + 12.50
Answer:
d = 17 + 12.50
Give the dude brainliest, but only if he needs it. Wish you all well. :)
solve for the value of the variable x
Answer:
[tex]\frac{-10}{3}[/tex]
Step-by-step explanation:
Cancel x+2 by multilying it with all terms.
x=2+4(x+2)
SImplify both sides
x=4x+10
Subtract 4 on both sides
−3x=10
Divide bot sides by -3
You get [tex]\frac{-10}{3}[/tex]
Glad to help.
the owner of an apple orchard ships apples in boxes that weigh 2 kilograms ( kg ) when empty. the average apple weighs 0.25 kg and the total weight of a box filled with apples is 12 kg. how many apples are packed in each box?
a. 14
b. 30
c. 40
d. 56
Answer: C=40
Step-by-step explanation: X=40 APPLES PER BOX.
PROOF:
2+.25*40=12
2+10=12
12=12
what is one fourth of 36,500,000 in scientific notation
Answer:
9.125 × 10^6
Step-by-step explanation:
36,500,000 ÷ 4 = 9,125,000 = 9.125 × 10^6
Find the equation of a line parallel to 3x – 3y = 5 that contains the point (-1, -5), Write
the equation in slope-intercept form.
Answer:
y=x-4
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y-y1=m(x-x1) to find the line parallel to 3x-3y=5.
Find the equation of the horizontal line that contains the point (−9,3).
Answer:
y=3
Step-by-step explanation:
m=0
Point given is (-9,3)
Subtract these values into Y - Y1 =m (x -x1) and rewriting the results in equation in point slope form given
Y-3=0(x-(-9))
Y-3=0
Y=3
The visa card is giving 5% cash back on all grocery and restaurant purchases, and 1% for all other purchases. You charge $2,000 a month and 1/4 is for grocery and restaurants. Use this information to find your monthly cash back amount.
Step-by-step explanation:
Total cashback from grocery and restaurant purchases = 500 * 0.05 = 25$
Total cashback from other purchases
= 1500 * 0.01
= 15$
Total cashback = $ 40
What is the value of x?
Answer:
x=35
Step-by-step explanation:
Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.
Answer:
45 pages
Step-by-step explanation:
The unit rate is
10 pages /2 hours
5 pages per hour
We have 9 hours
5 pages per hour * 9 hours
45 pages
Answer:
45 pages in 9 hours
Step-by-step explanation:
Divide to find the unit rate of pages per hour.
10/2 = 5 pages per hour
Multiply.
5*9 = 45
Best of Luck!
4. How many ones is in the number 500? *
(10 Points)
500 ones
50 ones
5 ones
Answer:
500 ones hope this helps
8. In a triangle, the three angles are: 60, 11x and 13x degrees. Find the value
of x and plug it in to find the measure of the other two angles. Then classify
the triangle BASED ON ITS ANGLES. *
Answer:
x=5
Step-by-step explanation:
60+11x+13x =180° (sum of angles in a triangle )
60+24x=180
24x=180-60
24x=120
x=120/24
x=5
Therefore the angles are 60, 55, 65
Which shows that it is a scaleness triangle and an acute angle
help with this please
1 bookcase = 1/5 gallons
x bookcase = 3 gallons
1/5x = 3
x = 3/0.2
x = 15
Your mom needs 2 potatoes, 1 pounds of asparagus, and 2 pounds of fish. How
much did your mom spend on her grocery shipping, not including tax? Answer in hundredth
I need help ASAP it’s due in 4 hours! Thank you!
Answer:
$13.42
Step-by-step explanation:
Two potatoes cost $2.50
$3.75 ÷ 3 = $1.25 $1.25 x 2 = $2.50
1 lb of asparagus is $2.48
$4.95 ÷ 2 = $2.48
2 lbs of fish cost $8.44
$12.65 ÷ 3 = $4.22 $4.22 x 2 = $8.44
$2.5 + $2.48 + $8.44 = $13.42
What is the variable equal to?
y • 8 = 40
Answer:
Y equals 5.............
Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get
Answer:
131.25
Step-by-step explanation:
Each of them would get 105 candies, as they are 5 in total.
Given that,
Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Total number of candies = 525
Total person = 5
Each of them get = 525 / 5 = 105
Thus, each of them would get 105 candies, as they are 5 in total.
Learn more about arithmetic here:
https://brainly.com/question/11424589
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Solve 2x2 – 23 = y when x = 1. y =
