How to create an equation for function m? I wrote the right equation as a guess, but I don't understand it.
Answers
Answer:
[tex]h(x)=2(x + 3)^{\frac{1}{2} }[/tex]
Step-by-step explanation:
Parent function of the square root function has been given as,
f(x) = [tex]x^{\frac{1}{2} }[/tex]
If the graph of the given function is stretched vertically by the scale factor = g(x) = [tex]k(x^\frac{1}{2})[/tex]
If the graph is shifted 3 units to the left,
h(x) = [tex]k(x + 3)^{\frac{1}{2} }[/tex]
Since, the graph of the function passes through a point (-2, 2),
[tex]2=k(-2 + 3)^\frac{1}{2}[/tex]
2 = k
Therefore, the function is [tex]h(x)=2(x + 3)^{\frac{1}{2} }[/tex].
Related Questions
This question is very important I will give Brainliest for the correct answer!! It's just perimeter but I'm a little confused.
Answers
Explanation: Width x Length is how you solve.
A box is to be made out of a 12 by 20 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L , width W , and height H of the resulting box that maximizes the volume.
Answers
Answer:
Box Dimensions:
L = 15.15 ul
W = 7.15 ul
h = x = 2.43 ul
V(max) = 263.22 cu
Step-by-step explanation:
We call x the length of the square to be cut in the corners then:
Are of the base of the box is:
(20 - 2*x) is the future length of the box and
(12 - 2*x) will be the width
The heigh is x then the volume of the box is:
V = ( 20 - 2*x )* ( 12 - 2*x ) * h
And the volume as a function of x is:
V(x) = ( 20 - 2*x) * ( 12 - 2*x ) * x or V(x) = (240 -40*x -24*x + 4*x²) * x
V(x) = 240*x - 64*x² + 4*x³
Taking derivatives on both sides of the equation we get:
V´(x) = 240 - 128*x + 12*x²
V´(x) = 0 240 - 128*x + 12*x² = 0 or 60 - 32*x + 3*x²
3*x² - 32*x + 60 = 0
Solving:
x₁,₂ = 32 ± √ (32)² - 4*3*60 ]/ 2*3
x₁,₂ = 32 ± √ 1024 - 720 )/6
x₁,₂ = ( 32 ± √ 304 )/6
x₁,₂ = ( 32 ± 17.44 )/6
x₁ = 8.23 ( we dismiss this solution because is not feasible 2*x > 12
x₂ = 2.43 u.l ( units of length)
Then
L = 20 - 2*x L = 20 - 4.85 L = 15.15 ul
W = 12 - 2*x W = 12 - 4.85 W = 7.15 ul
h = 2.43 ul
V = 2.43*7.15*15.15 cubic units
V = 263.22 cu
To see if when x = 2.43 function V has a maximum we go to the second derivative
V´´(x) = - 128 + (24)*2.43
V´´(x) = - 69.68 as V´´(x) < 0 then we have a maximum for V(x) in the point x = 2.43
Identify the range of the function shown in the graph.
Answers
Answer: Choice D) [tex]0 \le y \le 5[/tex]
This is because the smallest y can get is y = 0, while the largest it can get is y = 5. It can be anything in between these y values as well.
Visually, we look for the lowest and highest points. The range is the set of all possible y outputs. In contrast, the domain is the set of all allowed x inputs.
Answer:
in my opinion it's A.. hope it will help you.
А
3
-2
-1
0
2
3
B.
-1
The distance AB rounded to the
nearest tenth = [?]
Hint: d= (x2 - 1)+ (y2 - yı)2
Answers
Here is The work shown below:
Find two consecutive positive intergers such that the square of the smaller interger is nineteen more than five times the larger interger.
Answers
Answer:
8 and 9
Step-by-step explanation:
Let the two consecutive integers be x - 1 and x
Smaller = x-1
Largere = x
If the square of the smaller integer is nineteen more than five times the larger integer, then;
(x-1)² = 19 + 5x
Expand
x²-2x+1= 19+5x
x²-2x-5x+1-19 -0
x²-7x-18 =0
Factorize
x²-9x+2x-18 =0
x(x-9)+2(x-9) = 0
(x+2) = 0 and x - 9 = 0
x = -2 and 9
SInce x cannot be negative;
x = 9
Smaller number = 9-1
Smaller number = 8
Hence the two consecutive integers are 8 and 9
a fruit seller had thought to sell 120kg of fruit at 150 dollars / kg but sold it 5% less. find out how much dollars the seller lost
Answers
X/150=.05/1
x= 142.5
120(142.5)=17100
120(150)= 18000
18000-17100= 900
I NEED HELP PLZ it is very much appreciated
Answers
Answer:
C
Step-by-step explanation:
average, average, average
if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots
Answer:
D
Step-by-step explanation:
D has three dots near to the line
What is the value of the rational expression
2x+1
when x = 5?
Answers
Step-by-step explanation:
2x+1
x = 5
2(5)+1
=10+1=11
Answer:
2(5)+1
10+1
11
Hope This Helps!!!
what two numbers add up to 55 and multiply to -375
Answers
Answer:
-6.13406 and 61.13406
Step-by-step explanation:
x + y = 55
x × y = -375
y = 55 - x
x × (55 - x) = -375
55x -x² = -375
x² - 55x - 375 = 0
solution of a quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
a=1
b=-55
c=-375
x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =
= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =
= 5/2 × (11 ± sqrt(181)) =
= 61.13406... or -6.13406...
y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =
= -6.13406... or 61.13406...
A piece of ribbon is cut into two pieces in the ratio 3:7. The length of the shorter piece is 45cm. Calculate the length in cm of the longer piece of ribbon.
Answers
Answer:
105 cm
Step-by-step explanation:
3/7 = 45/x
cross-multiply:
3x = 315
x = 105
Find all values of x that satisfy the equation below. (x + 1)² - 25/9
= 0
Answers
Answer:
x = 8/3, 2/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
Identify
(x + 1)² - 25/9 = 0
Step 2: Solve for x
[Addition Property of Equality] Add 25/9 on both sides: (x + 1)² = 25/9[Equality Property] Square root both sides: x + 1 = ±5/3[Subtraction Property] Subtract 1 on both sides: x = ±5/3 - 1Evaluate Addition/Subtraction: x = 8/3, 2/3Step-by-step explanation:
Hey there!
Given equation is:
(x+1)² - 25/9 = 0
Then;
(x+1)² - (5/3)² = 0 ( since 5² = 25 and 3² = 9)
or, {(x+1)+5/3} { (x+1)-5/3} = 0. { use a² - b² = (a+b)(a-b) formula}
[tex]( \frac{3x + 3 + 5}{3} )( \frac{3x + 3 - 5}{3} ) = 0[/tex]
[tex]( \frac{3x + 8}{3} )( \frac{3x - 2}{3}) = 0[/tex]
Now;
Either;
( \frac{3x + 8}{3}= 0
or, X = 8/3
Or,
( \frac{3x -2}{3} = 0
x = 2/3
Therefore, X = 8/3 or 2/3.
Hope it helps!
hey !! solve it
[tex] \sqrt{44 \times 11} [/tex]
Answers
Step-by-step explanation:
✓44×11
=✓2²×11²
=22
!!!!????!!!!!!
Answer:
22
Step-by-step explanation:
First, multiply 11 and 44
11 × 44 = 484
[tex]\sqrt{484}[/tex] = 22
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Have a great summer :)
20 marbles in a bag. 4 are red, 5 are blue, 5 are black, 4 are white and 2 are yellow. What is the probability that he pulls out a red marble?
Answers
Answer:
1/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability that he pulls out a red marble = number of red marbles / total number of marbles
= 4/20 = 1/5
Find the missing side!!
Answers
It is ratio to the is being enlarged on the ither sides
Answer:
the answer to the question is 12cm
61/2×(8/9÷13/18)+(3/4) of 31/5
Answers
Answer:
[tex]\frac{10969}{260}[/tex]
Step-by-step explanation:
If there are twice as many bicycles as scooters and there are 945 vehicles in total. How many bicycles and scooters are there in Greenville?
Answers
Answer:
Bicycles = 315
Scooters = 630, basic mathematics. The most effective method for these questions is substitution. But I might have intermingled them so double check
[tex]128^3+272^3 /128^2-128*272+272^2[/tex]
Answers
wait do you want it step by step or just the answer?
the answer is 400
Which best describes the relationship between the line that passes through the points (-6, -1) and (-11, 1) and the line
that passes through the points (-3, -8) and (-5, -13)?
A. perpendicular
B. parallel
C. neither perpendicular nor parallel
D. same line
Answers
Answer: A. perpendicular
Step-by-step explanation: First, you have to determine the slope of both lines and you can do so using the slope formula: (y2 - y1)/(x2 - x1). You should get the slope -2/5 for the first line and 5/2 for the second. Because one line has a slope that is the negative reciprocal of the other, these lines are perpendicular.
In a regular polygon each interior angle is 120 greater than each exterior angle. Calculate the number of sides of the polygon.
Answers
Answer:
12 sides.
Step-by-step explanation:
the sum of every pair of interior and exterior angle is always 180 degrees.
x = exterior angle.
the interior angle is then x+120.
so then exterior and interior angle together must be 180.
x + x + 120 = 180
2x + 120 = 180
2x = 60
x = 30 degrees
how many sides ?
the sum of all exterior angles must be 360 degrees.
all exterior angles are the same (because all the interior angles must be the same due to "regular polygon").
so, how many times does 30 fit into 360 ?
360/30 = 36/3 = 12
it has 12 corners and also sides.
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answers
Answer:
ss
Step-by-step explanation:
s
solve algebraically for z : 360000 + 102 = 200000 + 104z NEED ANSWER ASAP PLEASE HELP
Answers
Answer:
z = 1539.44230769
Step-by-step explanation:
360000 + 102 = 360102
360102 - 200000 = 160102
160102/104z = 1539.44230769
z = 1539.44230769
What should be filled in the blank spot you’ll be marked as brainliest if you are correct
Answers
Answer:
-4 square inches
Step-by-step explanation:
its because the 5 pictures together make 21
If I eat 20 cupcakes and A=chicken nuggies what color is the imposter? True or false. extra points if you explain your answer.
Answers
Answer:
true
Step-by-step explanation:
because your susy
through: (-2, -1), slope = -1
Answers
y= -1x -3
that's equation of the line
Which of the following is the best estimate of 7/8? ( Answer ASAP )
Answers
Answer:
C
Step-by-step explanation:
just round up to nearest number and 7/8 is 0.87 so it coloser to 1 than half and the others are way to big.
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
y=3 x=1
Step-by-step explanation:
Answer:
above one is correct. I think so
if r=1 and 0=5pi/6 what is the approximate arc length?
Answers
Answer:
B. 2.618 units
Step-by-step explanation:
the arc length = (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
The arc length is = 2.618 units
what is arc length of a circle?Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.
Given : r=1, [tex]\theta[/tex]= 5π/6
Now, arc length
= [tex]\theta[/tex]/ 2π * 2πr
= (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
Learn more about arc length here:
https://brainly.com/question/1577784
#SPJ2
Someone please help me with this :/
5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8
Answers
Answer:
A
Step-by-step explanation:
Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.
Write the equation of the line that contains the points (-2,5) and (6,9).
Answers
Answer: y=2/4x+6
I think it´s right sorry if it is´nt
please answer this 2 question
Answers
Answer:
Step-by-step explanation:
AP 1 : 12, 15 , 18 , 21, 24, 27, 30 , 33 , 36, 39,.....
AP 2 : 17 , 21 , 25 , 29, 33, 37 , 41, 45,.....
AP formed with the common terms: 21, 33, 45 , ......
a = 21 , d = 33-21 = 12 ; n = 100
Sum = [tex]\frac{n}{2}(2a +(n-1)d)[/tex]
[tex]=\frac{100}{2}[2*21+99*12]\\\\=50 * [42+1188]\\\\=50*1230\\\\= 61500[/tex]