The roots of a quadratic function are 6 and -2. Which is a possible vertex of the function?
A (-2,-4)
B (-8,-2)
C (-2,0)
D (-8,4)
The possible vertex of the function is (2, -16).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Let f(x) = ax² + b x + c be the function required.
Roots are 6 and -2.
Equation can be written in the factorized form as,
(x - 6) (x + 2) = 0
x² - 6x + 2x - 12 = 0
x² - 4x - 12 = 0
f(x) = x² - 4x - 12
Vertex of a function f(x) = ax² + b x + c is (h, k) such that h = - (b/2a) and k = f(h)
h = - (-4/2) = 2
k = f(2) = 4 - 8 - 12 = -16
Hence the vertex of the function is (2, -16).
Learn more about Quadratic Functions here :
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Is (2,1) a solution to y> 2x-1
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
The polygons are regular polygons. What is the area of the shaded region?
Please my brain literally can’t process this...
Answer:
shaded Area hexagon = Around 281 squared feet
shaded area square 24 squared inches
Step-by-step explanation:
regular hexagon is made up of 6 equilateral triangles. All sides are equal
The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.
Side big hexagon = 12
side small hexagon = 6
BIG A= (3√3 144)/ 2 = 374.1230...
small (3√3 36)/ 2 = 93.5307...
shaded = BIG minus small
374.1230... - 93.5307... = 280.5923... squared feet
BIG SQUARE diagonal = 8
area of a square using diagonals = ½ × d2 Square units.
= ½ × 64 = 32 Square units.
small square (diagolal 4)
½ × 16 Square units. = 8 square inches
Area shaded 32-8 = 24 square inches
Solve for the missing variable given the rhombus (8x+58)
Answer:
the answer is already simsplified and there isnt a photo
if you what it factored then the answer would be 2(4x+29)
The dot plots show the total number of hours students spent on homework for one week at
two different schools.
Which statement is supported by the information in the dot plots?
Answer:
B
Step-by-step explanation:
I HAVE 2 MIN PLS HELP
Answer:
C (ignore this it asked for 20 characters)
is a negative number to the seventh power negative
7 is an odd number since it can't be divided evenly by 2.
A negative number taken to an odd power will always be negative.
For example, -1⁵ is -1 because 5 is an odd number.
which is greater 20.903 or 2.209
Answer:
20.903
Step-by-step explanation:
Answer:
20.203
Step-by-step explanation:
What’s the answer????(i will mark whoever answers the question right as Brainelist)
The height of a falling pinecone can be represented by y = -16° +64 where t is the time in seconds
and y is the height of the pinecone in feet. Write and solve an equation to find the number of seconds it
will take for the pinecone to reach the ground.
A. 4 seconds
B. 6 seconds
C. 2 seconds
D. 1.5 seconds
Answer:
4 Seconds
Step-by-step explanation:
Let's say the height of the ground is set at y = 0.
Then, since 16 times 4 is 64, we substitute 4 for x.
But wait! x is being squared!
So we need to find out what squared is 4. It's 2.
So, with x being equal to two, y is equal to 0.
But what is the number of seconds? We actually got it first.
That means that the answer is 4.
The pinecone takes 4 seconds to reach the ground.
PLS HELP!!!! MARKING BRAINLIEST
Answer:
for 9
Step-by-step explanation:
john grabs a piece of kitchen twine, he grabs the whole length of 8 ft. He 1/2 off. He then cuts another half of on each piece of twine. How many pieces of kitchen twine does john have?
A survey was given to a random sample of students attending college in which they were asked, "As a college student, do you feel like your high school prepared you for your college experience?" The data showed that 54% of the 600 students surveyed replied yes. What is the population of the statistical question? A. All students attending college B. All students in high school and college C. The 600 students who were surveyed D. The 54% of students who replied yes
Answer:
D
Step-by-step explanation:
Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.
Find the equation of the line that
is parallel to y = 2x + 5 and
contains the point (2, -4).
y = 2x + [?]
Answer:
y=(9,-8)
Step-by-step explanation:
2(2,-4) will give you (4,-8)
therefore y=(4,-8)+5
4+5 which is 9 and nothing will be added to -8
y=(9,-8)
Answer:
y=2x-8
Step-by-step explanation:
The first 3 common denominators of 1/12and 1/4 are
I need your help please!!! :)
Answer:
(-6.5, 3)
7.2units
Step-by-step explanation:
Given the coordinate
A =(-26, -15)
B = (13, 21)
Midpoint of A and B is expressed as;
X = -26+ 13/2
X = -13/2
X = -6.5
Y = -15+21/2
Y = 6/2
Y = 3
Hence the required midpoint is (-6.5, 3)
b) The distance between the coordinate (-6.5, 3) and (0,0) is expressed as;
D = √(-3)²+(0+6.5)²
D = √9+42.25
D = √51.25
D = 7.2units
Hence the distance between the midpoint and the base camp is 7.2units
Select the Equation that has a solution of: (b=6)
A.6+b = 8
B.Sb = 48
C.70 - b = 61
D.11-6=4
if the ratio of milk and water in 45 litre is 7:2. if 4 litre water is added what will be the new ratio.
Answer:
5 : 2
Step-by-step explanation:
sum the parts of the ratio, 7 + 2 = 9 parts
Divide the quantity by 9 to find the value of one part of the ratio
45 litres ÷ 9 = 5 litres ← value of 1 part of the ratio , then
7 parts = 7 × 5 = 35 litres
2 parts = 2 × 5 = 10 litres
In 45 litres there is 35 litres of milk and 10 litres of water
Adding 4 litres of water gives
35 : 14 = 5 : 2
to rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee of $6 per hour. The chemistry club wants to spend at most $72 on renting the room. what are the possible numbers of hours the cemetery club could rent the meeting room? use t for the number of hours. write your answer as an inequality solved for t.
Answer:
t ≤ 9 hours
Step-by-step explanation:
Reservation fee = $18
Additional fee per hour = $6
Let x = number of hours
At most in inequality means ≤ less than or equal to
The inequality is
18 + 6t ≤ 72
6t ≤ 72 - 18
6t ≤ 54
t ≤ 54/6
t ≤ 9 hours
an airplane traveled 1000 miles in 2 hours how long would it take that plane to travel 5000 miles if it travels at the same speed
5hours
6hours
7hours
10hours
12hours
Answer:
10 hours
Step-by-step explanation:
Create a proportion where x is the number of hours to travel 5000 miles
[tex]\frac{1000}{2}[/tex] = [tex]\frac{5000}{x}[/tex]
Cross multiply and solve for x
1000x = 10000
x = 10
So, it will take 10 hours.
I had trouble plotting the midpoint lol but can someone plz help me :c
midpoint is (-1 and -1.5)
Answer:
Step-by-step explanation:
midpoint rule is x2+x1 / 2 , y2+y1 / 2
where point one is P1 = (x1,y1) = (4,3)
and point two is P2 = (x2,y2) = -6,-6
for x then, -6+4 / 2 = -2 / 2 = - 1
for y then, -6+3 / 2 = -3 / 2 = - [tex]\frac{3}{2}[/tex]
mid point is ( -1 , - [tex]\frac{3}{2}[/tex] )
There are fewer than 3 gallons of gas in the tank. Use as your variable.
The inequality is
>3. its less than 3 because it is
Please help its urgent
Alexandra finds out that she can give 3 haircuts and 2 hair dyes in 315 minutes.Giving 2 hair cuts and 4 hair dyes takes 450 minutes.How long does it take her to do 1 haircut.
3x+2y=315
2x+4y=450
30 minutes
45 minutes
60 minutes 3x+4y=450
90 minutes 2x+4y=315
450/30
15
15/3x =5
x= 5
5+2y= 315
5-5+2y =315-5
2y = 310
2y/2 = 310/2
y=155
Step-by-step explanation:
450/45
10
2x+4y=450
2×5=10
10+(4×155)
=620/155
=4
10/5=2
Together Alex and Lily have 12 cats. If Alex has 3, write an equation to find out how many lily has.
Answer:
12-3 lily has 9 cats
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
12 - 3 = 9
HELP PLEASE ILL MARK BRAINEST IF UR RIGHT. Gems math
What is the surface area of the rectangular pyramid
Answer:
88.8 cm square
Step-by-step explanation:
If f(x) = 4x - 6, what is f(6)?
A. 32
B. 3
o
C. 4
O D. 18
Answer:
18 is the correct answer
Step-by-step explanation:
to find f(6) you only need to put value 6 in place x and then simple addotion subtraction
f(6)=4(6)-6
f(6)=24-6
f(6)=18
What is the diameter of a circle if the circumference is approximately 47.12 ft?
FREE POINTSS
Answer:
94.24 ft and thank you!
Step-by-step explanation:
Answer:94.24ft
Step-by-step explanation:thx :)
solve for x.
hint: use your knowledge of parallel lines. what do you know about these angles? are they congruent or supplementary?
Answer:
x = 11
Step-by-step explanation:
The given angles are supplementary which means their sum is 180
8x - 6 + 98 = 180 add like terms
8x + 92 = 180 subtract 92 from both sides
8x = 88 divide both sides by 8
x = 11
[Please read first] I will NOT be taking links or download files as an answer you may NOT get credit for it thank you.
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism, [ ] cubes are needed.
Answer:
108
Step-by-step explanation:
To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism