Answer:
[tex](x + 2) ^{2} = - 8[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]
Write a formula for function h in terms of function f.
h(x)=
Answer:
h(x) = f(x + 12) - 4Step-by-step explanation:
According to the graph, the function h(x) is the translation of the function f(x) to the right and down.
Compare the coordinates of the vertices to write the formula
(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4The formula is
h(x) = f(x + 12) - 4Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
The vertex is the turning point (stationary point or minima/maxima) of the graph.
To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.
Vertices of given functions:
Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)Differences
x-values: 6 - (-6) = 12y-values: 7 - 11 = -4Therefore, y = f(x) has been:
translated 12 units righttranslated 4 units downTranslations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4So the formula for h(x) in terms of f(x) is:
h(x) = f(x - 12) - 4
Learn more about transformations here:
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How can you add eight fours together so the total adds up to 500?
Answer:
you can try Multiplying 8 over 1 and 4 over1
Find (f+g)(x) if f(x)=2√m and g(x)= 3√4m
Answer Options:
1. (f+g)(x)= 11√m
2. (f+g)(x)= -4√m
3. (f+g)(x)= 8√m
4. (f+g)(x)= -7√m
Answer: 3
Step-by-step explanation:
A cylinder has a volume of 825.192 cubic centimeters. The diameter of the cylinder is 12 cm. What is the height of the cylinder?
Answer:
Step-by-step explanation:
diameter = 12 cm
r = 12 ÷2 = 6cm
Volume of cylinder
[tex]\boxed{Volume=\pi r^{2}h}[/tex]
πr²h = 825.192 cubic cm
3.14 * 6 * 6 * h = 825.192
[tex]h =\dfrac{825.192}{3.14*6*6}[/tex]
h = 7.3 cm
Answer:
Height of cylinder is 7.3 cm
Step-by-step explanation:
Given :-
Diameter of cylinder is 12m , so radius would be 6mVolume of cylindrical is 825.192 cm³To find :-
Height of cylinderSolution:-
Volume of Cylinder = πr²h
825.192 cm³ = 3.14 × 6 × 6 × h
825.192/113.04 = h
7.3 cm = h
A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open
Answer: 4×+3y
Step-by-step explanation:
1. There are 4 days from Mon to Thurs. Since x hours are opened on each of the 4 days, we get 4x.
2. There are 3 days from Fri to Sun. Since y hours are opened on each of the 3 days, we get 3y.
In a week, it will just be the sum of 1 and 2, which is 4x+3y
What is the height of soil?
Answer:Eight to 12 inches is usually adequate. If drainage is a problem, or if the plants you are growing prefer drier soil, the bed could be taller and filled with a porous growing medium.
Step-by-step explanation:
What is 53 times 6987 times 34 plus 67964?
Answer:
The answer is 12,658,538
Step-by-step explanation:
53 times 6,987 = 370,311
370,311 times 34 = 12,590,574
12,590,574 plus 67964 = 12,658,538
Answer:
12,658,538
Step-by-step explanation:
I used a calculator
3 times what number equals 1
Answer:
1/3
Step-by-step explanation:
essentially saying 3x = 1 where x is the unknown number.
we now solve for x
x= 1/3
Find the measure ments of angels 2, 3, and 4
A bakery sells white loaves and brown loaves.
One week, the ratio of the number of white loaves sold to the number of brown loaves
sold was 4:5
The bakery sold a total of 1584 loaves that week.
Work out how many brown loaves they sold.
Answer:
880 brown loaves
Step-by-step explanation:
Create a ratio of brown loaves to total loaves by adding the the current ratio, 4:5 together.
4 + 5 = 9.
Now create the new ration of brown loaves to total loaves.
5:9
Next make a proportion using brown (numerator) to total (denominator).
Then cross multiply and divide.
[tex]\frac{5}{9} = \frac{b}{1584}[/tex]
[tex]9b = 7920\\\frac{9b}{9} =\frac{7920}{9} \\b=880[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
See below ↓↓
Step-by-step explanation:
(a) Most variability
Refers to the class with the biggest range⇒ Class D(b) Highest scores on average
Refers to the class with the highest mean score⇒ Class CComplete the table for f(x) = x2 + 2x - 3.
x -3 -2 -1 0 1
y=?
Answer:
x | -3 -2 -1 0 1
y | 0 -3 -4 -3 0
Step-by-step explanation:
f(x) = x² + 2x - 3
x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0
x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3
x = -1 then y = (-1)² + 2(-1) - 1 = 1 - 2 - 3 = -1 - 3 = -4
x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3
x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0
What is the approximate circumference of the circle?
What is the height of the parallelogram?
What would be the approximate length of the parallelogram if the base were completely straight?
What would make the estimation of the circle’s area more precise?
What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?
1. 18.8 units
2. 3 units
3. 9.4 units
Breaking the circle into more sectors
4. 28.3 square units1. The circumference of circle is 18.8 units
2. The height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight is 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle is 28. 26 unit²
What is Circumference?The circumference of the circle is 2πr where is the radius of the circle.
1. The circumference of circle
= 2πr
= 2 x 3.14 x 3
= 18.8 units
2. From Figure the height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight
= 18.8 / 2
= 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle
= πr²
= 3.14 x 9
= 28. 26 unit²
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A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will it travel in 3/4 of an hour
Answer:
4.5 miles
Step-by-step explanation
Figure out how far the hot air balloon travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 18 / 3 = 6
So basically, the hot air balloon travelled 6 miles in 1 hour.
Now, you can work out 3/4 of 6 for 3/4 of 1 hour - 3/4 * 6 = 4.5 miles
:)
Need help with math!!!!
Answer:
The difference is approxiametly 8
Step-by-step explanation:
Things need to know
Whole number = Number on the left side of the mixed fraction
Numerator = Number on top of fraction
Denominator = Number on bottom of fraction
How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator
How to turn improper factions into decimals = Divide numerator by denominator
Improper fraction = A fraction where the numerator is greater than the denominator
Mixed fraction = A whole number and a proper fraction mixed together
For the first mixed number:
[tex]9 \dfrac{ 52 }{ 69 }[/tex]
9 = whole number
52 = numerator
69 = denominator
For the second mixed number:
[tex]1 \dfrac{ 29 }{ 50 }[/tex]
1 = whole number
29 = numerator
50 = denominator
Given:
[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]
Convert mixed numbers into improper fractions
[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]
Turn improper factions into decimals
[tex]9.753623188405797-1.58[/tex]
Round both numbers to the nearest whole number
[tex]10-2[/tex]
Subtract 2 from 10
[tex]8[/tex]
Answer: 8
Multiple choice math question. Question #15
Answer:
that would also be car 1, because in a rotation like that its like you do a spin and come back to the same position, that is a 360 rotation.
Answer:
the answer is car 1
Step-by-step explanation:
How many electrons can there be in the 5s subshell.
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
Right triangles 1,2 and 3 are given to its all their angle measures and approximate side lengths
Choose one answer:
4.5 units
5.4 units
9.1 units
10.9 units
Answer:
5.4 units
Step-by-step explanation:
From the figure ,it's clear that sin(50) = PQ/7
Then
PQ = 7×sin(50) = 5.362311101833
Therefore the approximate length of PQ I saw 5.4
Which of these numbers is the greatest?
0.36
0.63
0.631
0.361
Answer:
0.631
Step-by-step explanation:
What value of x is in the solution set of 4x - 12 S 16 + 8x?
You gave little context, so here is a few solutions.
POSSIBLE #1:
assuming s is a variable
---> Simplify [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]
[tex]4x-192S+8x[/tex]
---> Collect like terms.
[tex](4x+8x)-192S[/tex]
---> Simplify.
[tex]12x-192S[/tex]
POSSIBLE #2: (assuming s is not relevant)
Simplifying
4x + -12 = 16 + 8x
Reorder the terms:
-12 + 4x = 16 + 8x
Solving
-12 + 4x = 16 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
-12 + 4x + -8x = 16 + 8x + -8x
Combine like terms: 4x + -8x = -4x
-12 + -4x = 16 + 8x + -8x
Combine like terms: 8x + -8x = 0
-12 + -4x = 16 + 0
-12 + -4x = 16
Add '12' to each side of the equation.
-12 + 12 + -4x = 16 + 12
Combine like terms: -12 + 12 = 0
0 + -4x = 16 + 12
-4x = 16 + 12
Combine like terms: 16 + 12 = 28
-4x = 28
Divide each side by '-4'.
x = -7
Simplifying
x = -7
If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!
a hen average of 5.5 eggs each week if she lays a certain numbers a week
Answer:
Step-by-step explanation:
question doesnt make sense
Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)
Step-by-step explanation:
the formula for the mid point is:
{(x1 + x2)/2 , (y1 + y2)/2}
so using the formula we get:
(15, 5)
also are you sure that the question wants the midpoint? since the answer is not included in the choices
Answer:
C(15,3)
Step-by-step explanation:
Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]
= [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]
= 15,5 (which is closest to C, i think there is a mistake in the question as there is only one formula to find midpoint so y coordinate has to be 5)
Please help mee l don’t understand new topic please
Answer to first four-
first one- 2f+2f=60
4f=60
f=15
second one-18+2d=38
2d=20
d=10
(short side is 9)
third one-2a+a+5+a+5=26
4a+10=26
a=4
long side is 9
short side is 8
fourth one-3xy+3xy+xy=63
7xy=63
xy=9
long side is 27
Help with this question please
Answer:
3y is the GCF
Step-by-step explanation:
the lowest value is -9y, so it can't be a value in the exponents
What is the surface area of this figure? Enter your answer in the box.
Answer:
915
Step-by-step explanation:
V=l*w*h V=1/2*b*h*l
V of the rectangular block: 15*5*8 = 600
V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5
When you double it, it cancels out the 1/2
157.5*2=315
315+600=915
It's 582ft I have noclue what dude is talking about
Step-by-step explanation:
if a meatllic cylinder having volume 2464cm3 melted into a sphere then find the radius of that sphere
Answer:
Given: Volume of cone = 2464 cm3 Height of cone = 12 cm
Step-by-step explanation:
Line a passes through the points (-2,1) and (1,-1). Line b passes through the points (-3,2) and (-1,0). DO lines a and b intersect? Explain.
Answer:
You can draw a graph.
(-3,2) |
(-2,1) |
___.__(-1,0)__ | __.____.___
| (1,-1)
|
|
As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.
Hope this helps!
An airplane flies with a constant speed
of 640 km/h. How long will it take to
travel a distance of 640 kilometers?
The time it would take to travel a distance of 640 kilometers is 1 hour
Speed, distance and timeFrom the question, we are to determine how long it would take the airplane to travel a distance of 640 kilometers.
From the give information,
The airplane flies with a constant speed of 640 km/h.
Speed = 640 km/h
Distance to be covered = 640 km
From the formula,
[tex]Speed = \frac{Distance}{Time}[/tex]
We can write that
[tex]Time= \frac{Distance}{Speed}[/tex]
∴ [tex]Time = \frac{640 \ km}{640 \ km/h}[/tex]
Time = 1 hour
Hence, the time it would take to travel a distance of 640 kilometers is 1 hour
Lear more on Speed, distance and time here: https://brainly.com/question/17146782
Which angles are corresponding angles
Answer:
second option is correct onee
Step-by-step explanation:
mark me brainliest
How do i solve this?