Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. How much fabric will he need?
A square pyramid with a base of 4 meters by 4 meters and triangular side heights of 3 meters.
16 meters squared
24 meters squared
36 meters squared
40 meters squared
ITS NOT 24
The amount of fabric Henri will need is 40 meters squared
The amount of fabric Henri will require is the surface area of the square pyramid.
What is the surface area of the square spyramid?The surface area of the square pyramid, A = area of square base, A' + area of 4 triangular sides
Area of square baseThe area of the square base is A' = L² where L = length of base = 4 m
So, A = L²
= (4 m)²
= 16 m²
Area of triangular sideThe area of the triangular side is A" = 1/2Lh where
L = length of base = 4 m and h = height of triangle = 3 mSo, A" = 1/2Lh
= 1/2 × 4 m × 3 m
= 1/2 × 12 m²
= 6 m²
Since there are 4 triangular sides, the area of the sides of the pyramid is
4A" = 4 × 6 m²
= 24 m²
Amount of fabric Henri will needSince the amount of fabric Henri will need is the surface area of the square pyramid,
So, The surface area of the square pyramid, A = A' + 4A"
= 16 m² + 24 m²
= 40 m²
So, the amount of fabric Henri will need is 40 meters squared
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sam said the absoulute value of 14 is -14. Kai said the absolute value of 14 is 14. Who is correct. Explain
Answer:
Kai is right.
Step-by-step explanation:
Absolute Value is always positive.
Answer:
Kia is Right.
Step-by-step explanation:
14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.
The graph below shows a line of best fit for data collected on the amount of time teenagers spend on the computer and
watching television.
Based on the line of best fit, how much time does a teenager spend watching television if they spend 360 minutes on the
computer?
OA. 60 minutes
OB. 15 minutes
OC. 30 minutes
OD. 45 minutes
ASAP
Answer:
C) 30 minutes
Step-by-step explanation:
According to the line of best fit, when x=360, y=30, which means that a teenager spends 30 minutes watching television if they spend 360 minutes on the computer.
Write down the name of these shapes.
Answer:
They are all quadrilaterals. To be specific, the first one is a parallelogram, the second one is a rectangle, and the 3rd one is just a quadrilateral!
Step-by-step explanation:
Identify the volume and surface area of the sphere in terms of π.
The figure shows a sphere. The sphere has a radius of 9 centimeters.
V = 972π cm3; S = 324π cm2
V = 243π cm3; S = 324π cm2
V = 972π cm3; S = 162π cm2
V = 243π cm3; S = 162π cm2
Answer:
Volume is: 972 and Surface area is 324
Step-by-step explanation:
How to get the volume is 9^3
That is 729
Times 4/3
972.
The surface area is 4 times 9^2
324.
You dont use the pie.
Which expression is equivalent?
Answer:
Option one is correct
Step-by-step explanation:
Hope it's helpful... :)
HELP PLS ASAP NO LINKS
HURRY
Answer:
The last one
Step-by-step explanation:
up 3 one over
A recip says use 3 cups is flour to make 48 cookies what is the contact of proportionality that relays the number of cookies made y, to the number of cups of used, X
Answer:
16
Step-by-step explanation:
y = k * x
Where,
y = number of cookies made = 48
x = number of cups of used = 3
k = constant of proportionality
y = k * x
48 = k * 3
48 = 3k
k = 48/3
k = 16
Therefore,
The constant of proportionality = 16
find the volume of the cylinder
Step-by-step explanation:
8 volume
solve for p
p+23.7=41.13
Answer:
p=17.43
Step-by-step explanation:
To solve this I just subtracted
p=41.13-23.7
which is
p=17.43
I need some help I will give you brainiest.
A teaspoon of common table salt contains about 2,000 mg of sodium. How many grams of sodium is this?
200 g
2 g
2,000,000 g
20 g
Solve the given proportion 3/4 6/x x=?
Answer:
X=8
Step-by-step explanation:
3×X =6×4
3X=24
X= 24÷3
X= 8
The equivalent value of the proportion is ( 3/4 ) = ( 6/8 ) and x = 8
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
( 3/4 ) = ( 6/x )
Multiply by x on both sides , we get
( 3/4 )x = 6
Divide by 3 on both sides , we get
( 1/4 )x = 2
Multiply by 4 on both sides , we get
x = 8
Hence , the proportion is ( 3/4 ) = ( 6/8 )
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If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54
Answer:it’s -36
Step-by-step explanation:
The equation of the trend line is y = -0.36x + 12.6 use the equation to of the trend line to predict the wind chill for a wind speed of 51 mi/h round your answer to the nearest degree. The wind chill at 51 mi/h
Given:
The equation of the trend line is:
[tex]y=-0.36x+12.6[/tex]
In this equation y represents the wind chill and x represents the wind speed.
To find:
The wind chill at 51 mi/h.
Solution:
We have,
[tex]y=-0.36x+12.6[/tex]
Putting [tex]x=51[/tex], we get
[tex]y=-0.36(51)+12.6[/tex]
[tex]y=-18.36+12.6[/tex]
[tex]y=-5.76[/tex]
Round the answer to the nearest degree.
[tex]y\approx -6^\circ[/tex]
Therefore, the wind chill at wind speed 51 mi/h is -6°.
Find the Mean of the set of data: 4. 2. 6. 8. 5. 5
Answer: 30 / 6
=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
step by step explanation
(2) Find the area of each circle to the nearest tenth
Pls show the work not just give me the answer
Answer:
38.5 mm^2
Have a nice day!
Step-by-step explanation:
Area = πr^2
Area = π(3.5^2)
Area = π(12.25)
Area = 38.48451...
Area = 38.5
PLS HURRY I ONLY HAVE LIKE 5 MINUTES TO ANSWER THIS
Answer:answer what
Step-by-step explanation:
Which of the following are not equivalent? *
1/3 and 5/15
1/4 and 0.25
0.6 and 6%
1/2 and 50%
Best answer get brainliest. 5 stars and a heart
Which of the following is the solution to the inequality below?
-3/2(x-1/3)> -5x
A. x> -3/35
B. x>2/21
C. x< 2/21
D. x< -3/35
Answer:1/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
3/2*(x-1/3)-(-5*x)>0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
3 1
(— • (x - —)) - -5x > 0
2 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 - (1) 3x - 1
——————————— = ——————
3 3
Equation at the end of step
2
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
3
:
3
Simplify —
2
Equation at the end of step
3
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
4
:
Equation at the end of step
4
:
(3x - 1)
———————— - -5x > 0
2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
-5x -5x • 2
-5x = ——— = ———————
1 2
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(3x-1) - (-5x • 2) 13x - 1
—————————————————— = ———————
2 2
The equation at the end of step
5
:
13x - 1
——————— > 0
2
STEP
6
:
6.1 Multiply both sides by 2
6.2 Divide both sides by 13
x-(1/13) > 0
Solve Basic Inequality :
6.3 Add 1/13 to both sides
x > 1/13
A newborn baby weighs 3.136 times 10 Superscript 3 units. Which unit of measure was used?
Answer:
grams
Step-by-step explanation:
3.136 x 10³ = 3,136
3136 grams is approximately 7 pounds
there are about 28.3 grams in 1 ounce which means
28.3(16) or 452.8 grams per pound
3136 / 453 ≈ 7
Help^^^^^^^^^^^^^^************
Answer and Step-by-step explanation:
The answer you chose is correct:
D. 2(5w + 5)
This is equivalent to 10w + 10.
This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.
#teamtrees #PAW (Plant And Water)
Evaluate t-⅓=8 no like please and thanks
Answer:
If its t to the power - 1/3 then it is 1/512
Step-by-step explanation:
t^-1/3=8
(1/t) ^1/3 =8
1/t = 8 ^3
t=1/512
Simplify: 2x2 – 1+ 4x2-5
Answer:
6x^2 - 6
Step-by-step explanation:
Hope this helps!!
Someone plz help me I suck at doing that
Answer:
D - 4.6
Step-by-step explanation:
Hope it Helps!
:)
and sorry for the late answer
Audrey and her family are discussing how to pay for her college
education. The cost of tuition at the college that Audrey wants to
attend is $11,000 per year. Audrey's parents will pay 85% of the
tuition cost every year, and she will pay the rest. Audrey has one
year to save enough money to attend her first year of college. What
is the minimum amount of money she should save every month in
order to reach her goal?
Answer:
$137.50
Step-by-step explanation:
11,000 x .15 (100-.85)=$1.650 amount she will have to pay annually.
$1,650/12months = $137.50 is minimum to save monthly.
A drink is available in 2 can sizes. Both have a diameter of 2 inches. The
small can has a height of 4 inches. The large can has a height of 6 inches.
Select all statements that are true:
The cans have the same volume.
The cans have the same circumference.
The small can has 2/3 the volume of the large can.
Both cans have a volume of more than 12 cubic inches.
Both cans have a volume of less than 18 cubic inches.
Answer:
Both cans have a volume of less than 18 cubic inches.
Step-by-step explanation:
3, 2, 16, 4, 26, 8, 6,3
How many dogs were in the Ridgeway Dogs show?
Answer: 68
Step-by-step explanation:
3 plus 2 plus 16 plus 4 plus 26 plus 8 plus 6 plus 3 = 68
Hope This Helps!
Naim added 30 to the number of fish Connor had in his fish tank for a total of 52 fish in the tank which equation can be used to find the original number of fish Connor had in his tank
Answer:
30+ X = 52
Step-by-step explanation:
Answer:
x+30=52
or 52-30
Step-by-step explanation:
I know 2nd grade math.
Subtract 30 from 52.
$27 for 4 large pizzas or $32 for 5 large pizzas
Answer: 5 large
Step-by-step explanation:
$6.75 per pizza for 4 large pizzas
$6.40 per pizza for 5 large pizzas
10x+24y=200
y=x+3
Pleas help me
Answer:
The answer should be x=3.76
Step-by-step explanation: