Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answers
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
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The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
Related Questions
If a = –2 – 5i and b = –i, then find the value of the ab^3 in fully simplified form.
Answers
Answer:
5 + 2i
We were given the complex numbers;
a = - 2 - 5i
and
b = - i
We want to find the product;
ab^3 ^ = Exponent
We substitute the complex numbers into the expression and simplify
( - 2 - 5i ) (i)^3 ^ = Exponent
This is rewritten as:
( - 2 - 5i) (i)^2 x i ^ = Exponent
Note that
i^2 = - 1 ^ = Exponent
We substitute to obtain:
( - 2 - 5i ) x - i
Let us expand to get:
- 2 x - i + 5i x - i
This simplifies to:
2i - 5i^2 ^ = Exponent
This gives:
2i - 5 ( - 1 ) = 2i + 5
Hope This Helps
DOH! My Brian Hurts
The value of ab³ in simplified form is; -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
From the given values in the question we have;
a = -2 + 2i
b = -5i
Thus
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
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1/2 ( x - 4 ) = 1/3 ( x + 2)
pls help me
Answers
Answer:
x=16
Step-by-step explanation:
1/2 ( x - 4 ) = 1/3 ( x + 2)
distribute both sides
1 /2 (x−4)= 1/ 3 (x+2)
( 1 /2 )(x) + ( 1/ 2 )(−4) =( 1 /3 ) (x)+( 1/3 )(2)(Distribute)
1 /2 x+−2= 1 /3 x+ 2 /3
1 /2 x+−2= 1 /3 x+ 2 /3
Step 2: Subtract 1/3x from both sides.
1/2x -2 -1/3 x
x= 1 /3 x + 2/3 − 1/ 3 x
1 /6 x−2= 2/ 3
Step 3: Add 2 to both sides.
1 /6 x −2+2= 2/ 3 +2
1 /6 x = 8 /3
Step 4: Multiply both sides by 6.
6*( 1/6 x) =6*( 8 /3 )
x=16
1/2x - 2 = 1/3x + 2/3
Then, isolate x. To do this, subtract 1/2x on both sides and subtract 2/3 from both sides.
-2 - 2/3 = 1/3x - 1/2x
Make them the same denominator. The left side's denominator is 3 and the right side's denominator is 6.
-6/3 - 2/3 = 2/6x - 3/6x
Subtract.
-8/3 = -1/6x
Multiply both sides by -6 to get rid of the denominator on x.
-8/3 * -6 = -1/6x * -6
48/3 = x
16 = x
Your answer is 16.
proportional constant
Answers
Answer:
The value of the proportionality constant (y to x) is: 3/10
Step-by-step explanation:
We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.
i.e. y = kx
and k = y/x
Given the points
(100, 30)(300, 90)(500, 150)We know that the proportionality constant (y to x) is:
k = y/x
For the point (100, 30)
k = 30/100=3/10
For the point (300, 90)
k = 90/300=3/10
For the point (500, 150)
k = 150/500=3/10
As the value of proportionality constant (y to x) is the same.
i.e. k = 3/10
Thus, the value of the proportionality constant (y to x) is: 3/10
Heather rode her bike at a rate of 15 feet per second. Which graph best represents the relationship between the time in seconds Heather rode her bike, x, and the distance in feet she rode, y?
Answers
the graph that goes up the most
Answer: D
Step-by-step explanation:
Because it said she rode her bike 15 feet per second and per means 1 so for every second she rode 15 distance(feet)
I Hope This helped :)
which function below has the greatest rate of change
Answers
Answer:
Step-by-step explanation:
The average rate of h =. By comparing the results, The function which has the greatest rate of change is h (x) So, the correct answer is option C) h (x) dome7w and 7 more users found this answer helpful. heart outlined.
Answer:
There's literally nothing there
Step-by-step explanation:
I’m just lost on this on
Answers
Answer:
im sorry i cant really see that...
Step-by-step explanation:
Determine the measure of the unknown angle in the triangle.
Answers
you add 78 plus 37 then subtract from 180
Answer:
65°
Step-by-step explanation:
Let the unknown angle be ∠ABC
∠ABC + 78° + 37° = 180° (angle sum property of a triangle)
∠ABC + 115° = 180°
∠ABC = 180° - 115°
∠ABC = 65°
∴the unknown angle in the triangle is 65°
forgot to put photo but this is a repost HELP EMEBAHNDJFKG
Answers
Answer:
a
Step-by-step explanation:
I have another question:
If triangle GFE~ to triangle ABC, Find FG.
Answers
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
helooooooooooooooooooooooooooo
Answers
Answer:
you are asking what dont understand
Step-by-step explanation:
From a graph, how do you identify the solution of a system of equations?
Answers
Answer: Wherever the all graphs of the equations intersect, or cross each other, that is a solution to the system of equations.
Step-by-step explanation:
please help I'll give brainliest
Answers
Answer:
y + 1 = 4(x - 2)
y = 4x + 11
8x - 2y = 6
Step-by-step explanation:
Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).
y + 1 = 4(x - 2)
y = 4x + 11
8x - 2y = 6
I need help Fast!!!!
Answers
Answer:
option 3 i believe
Step-by-step explanation:
ASAP HELP FOR BRAINLIEST!!!
A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.
Answers
Answer:
63 more points
Step-by-step explanation:
275(goal) - 212(current points) = 63(points needed)
Check your work: 212+63=275
He needs to score 63 points
I WILL GIVE BRAINLIEST!!!!
The following figures give the distribution of land (in acres) for a county containing 67,000 acres. Identify each category on the circle graph. Land Use Acres Relative Frequency Forest 10,050 0.15 Farm 6700 0.10 Urban 50,250 0.75 A circle graph titled Land Use. Blue is about 75 percent; green, 15 percent; red, 10 percent. a. Farm - Blue - 75% Forest -Green - 15% Urban - Red - 10% c. Forest - Blue - 75% Urban - Green - 15% Farm - Red - 10% b. Urban - Blue - 75% Forest - Green - 15% Farm - Red - 10% d. Forest - Blue - 75% Farm - Green - 15% Urban - Red - 10% Please select the best answer from the choices provided A B C D
Answers
Answer:
c
Step-by-step explanation:
its c on edge
HELP ME OUT PLS!!!!!!!!
Answers
Answer:
C is better
Step-by-step explanation:
42mph is greater than 32mph
Answer:
the answer is b
Step-by-step explanation:
how many miles per gallon can the car get.
If u are at a store and the original price of a product is $28.95 and the sales tax is %6.5 what is the final price
Answers
Answer:
$30.83
Step-by-step explanation:
Before Tax Price: $28.95
Sale Tax: 6.50% or $1.88
After Tax Price: $30.83
Hope this helped :)
Answer:
$30.83
Step-by-step explanation:
Please help! NEED FAST Will give brainliest
Answers
Answer:
25+3b/4
Step-by-step explanation:
9+7 because 9 is how many miles the first guy biked in 45 minutes and the 7 is how many miles apart they were in the first place.
9+7+9+3b/4
Step-by-step explanation:
Please help. If this isn't done by today i'm grounded :(
A _____ magnet can be made by rubbing a permanent magnet the same way
along an item. The alignment of atoms does not last long.
permanent
temporary
atomic
polar
Answers
Answer:
B. temporary
Step-by-step explanation:
The last sentence says that the alignment of atoms does not last long.
Answer:
B. temporary
Step-by-step explanation:
What is the value of V81
[tex] \sqrt{81} [/tex]
Answers
The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?
Answers
Answer:
dV/dt = 13,5 [Km³/h]
Step-by-step explanation:
The volume f the cube is:
V = x³ where x is a side of the cube, then tacking derivatives with respect to time on both sides of the equation
dV/dt = 3*x² dx/dt
dx/dt = 2 km/h
at the time when the side x = 1,5 Km
dV/dt = 3* (1,5)²*2 [km³/h]
dV/dt = 13,5 [Km³/h]
can someone please help me!!!!!! and don't steal meh points
Answers
Answer:
-6
Step-by-step explanation:
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answers
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
You created a Gingerbread house out of the same dough. Each side of the house is a 4 x 6 rectangle. How much Gingerbread dough would you need to create the entire house including the floor? Hint: find the surface area.
Answers
Answer:144
Step-by-step explanation:
4x6x6=144
WILL MARK BRAINLIEST
A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
O 1/100
O 1/12
O 11/100
O12/100
Answers
Answer:
C. 11/100
Step-by-step explanation:
Answer:
C. 11/100 explanation
See the attached photo
Answers
Answer: D
Step-by-step explanation:
X is 0 so it would be intercepting the graph at -2
A 30-foot electric line is suspended between the tops of two 20-foot electric poles on ground level. The lowest point of the line is 5 feet above the ground. What is the distance between the two electric poles?
Answers
Answer:
The appropriate response will be "Zero (0)". A further explanation is given below.
Step-by-step explanation:
This does not make any logical sense, it seems to be 15 feet from either the peak including its poles to something like the edge of that same wire, therefore half including its 30 would be 15 feet. This always implies that perhaps there is no space seen between points, the poles must've been interacting or overlapping.The response is therefore "0".
find a counter example for the following statement all triangles have one 90 degree angle
Answers
Please solve and explain
Answers
Answer:
The value of x = 15
Hence,
AB = x = 15 inBC = 2x+1 = 2(15)+1 = 30+1 = 31 inAC = x-3 = 15 - 3 = 12 inStep-by-step explanation:
We know that the perimeter of a triangle is the sum of all the sides of a triangle.
Given
Perimeter = 58 in
AB = x
BC = 2x+1
AC = x-3
so the equation becomes
Perimeter = AB + BC + AC
58 = x + 2x+1 + x-3
58 = 4x - 2
4x = 58+2
4x = 60
4x/4 = 60/4
x = 15
Thus, the value of x = 15
Hence,
AB = x = 15 inBC = 2x+1 = 2(15)+1 = 30+1 = 31 inAC = x-3 = 15 - 3 = 12 inVERIFICATION
Perimeter = AB + BC + AC
58 = 15+31+12
58 = 58
A map key shows that a map distance of 1/3 inch represents an actual
distance of 4/7 mile. Find the actual distance represented by 1 inch on the
map."
Answers
Answer: 12/7 or 1 5/7 of a mile
Step-by-step explanation: To get to 1 mile, you multiply 1/3 by 3. Then multiply 4/7 by 3. That should give you your answer. Hope this helped!