Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
There are some parallelograms that are not rectangles
Answer:
true
Step-by-step explanation:
This is a true statement
To be a rectangle it must have 4 right angles and 2 pairs of parallel sides
A rhombus has 2 pairs of parallel sides so it is a parallelogram, but does not have to have 90 degree angles. (Rhombuses with 90 degree angles are squares)
_________________________________
Yes,it is true.
There are some parallelograms that are not rectangles.Rectangle are just the special case of parallelogram where the angles are all 90 degree.All rectangles have 90 degree angles and with parallelogram that does not always have to be the case. Some parallelograms are squares,rhombus and many more.A parallelogram is a quadrilateral with 2 pairs of opposite,equal and parallel sides.
Hope it helps..
Good luck on your assignment
______________________________
A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending
Answer:
D
Step-by-step explanation:
Help me please show your work please
Answer:
27
Step-by-step explanation:
(9)to the 2 power is 81
81/3=27
Answer: 27
(n)^2/3 if n=9
Step-by-step explanation:
first, you do 9*9=81
secound, you put 81/3
third, then you divide 81/3=27
the answer is 27
help me with this please
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answer:
Since the first number after the decimal is lower than 5, you would need to round down. So the answer would be 17(not 18).
Step-by-step explanation:
Which expression represents the polynomial −2x3−4x2+2x4+3x+4 rewritten in standard form?
Answer:
10 x^4 - 8x^5
Explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c
Then you would simplify
−2 x−5(x^2x^2)−2x4(x^2x^3)
Simplify each term
= 10 x^4 - 8x^5
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?
Answer:
The answer is 108.
Step-by-step explanation:
This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.
Match the points on the number line with the rational numbers.
Answer:
A -1 6/8
B -1 2/8
C -0.5
D 1
E 1 5/8
Step-by-step explanation:
Find the approximate circumference of a circle with a diameter of 80 yards.
251 yards
502 yards
126 yards
25 yards
________________________________
Solution,
Diameter (d)=80 yards
Radius(r)=80/2=40 yards
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*3.14*40
=251.2 yards.
The right answer is 251 yards.
Hope it helps...
Good luck on your assignment
_____________________________
The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.
From the clues given below, can work out where everyone sits?
Note: Seat 1 is next to Seat 2 and Seat 8, etc. Seat 5 is across from Seat 1, and Seat 7 is across from Seat 3, etc. Seat 2 is a higher seat number that Seat 1, etc.
Puzzle Table
1. Harvey has a higher seat number than Jennie.
2. Peter is across from Harvey.
3. Neither Joyce nor Lia is in seat 8.
4. Rick is across from Kenny, and Rick is also next to Joyce.
5. Lia is next to Kenny.
6. Jennie is at Seat 4 and next to Harvey.
7. Peter is next to Lia.
8. Mark has the remaining seat.
Answer:
Seat 1: PeterSeat 2: LiaSeat 3: KennySeat 4: JennieSeat 5: HarveySeat 6: JoyceSeat 7: RickSeat 8: MarkStep-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
Seat 4: JennieSeat 5: HarveyFrom Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
Seat 1: PeterFrom Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
Seat 2: LiaBy Rule 5: Lia is next to Kenny, therefore:
Seat 3: KennyFrom Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Seat 7: RickSince Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Seat 6: JoyceTherefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
Which statements are true?
Select each correct answer.
All squares are parallelograms.
No trapezoids are parallelograms.
All rectangles are squares.
All rectangles are quadrilaterals.
Answer:
All squares are parallelograms, and all rectangles are quadrilaterals are both true
Step-by-step explanation:
Answer:
The answer is a and d
a) All squares are parallelograms
d) All rectangles are quadrilaterals
hope i helped!
Given: HJ =4x+9, JK=3x+3
and KH=33
Find: x, HJ, and JK
X= BLANK?
HJ=BLANK?
JK=BLANK?
The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.
What is Segment Addition Postulate?
If B is between A and B, then AB +BC = AC
Find the values of x, HJ and JK
Given that, HJ=4x+9
JK=3x+3
KH=33
According to the Segment Addition Postulate, we can say that
HJ+JK=KH
4x+9+3x+3=33
(4x+3x)+(9+3)=33
7x+12=33
7x=33-12=21
x=3HJ=4x+9=4(3)+9
HJ=12+9=21
JK=3x+3=3(3)+3
JK=9+3=12
The value of x=3, length of HJ=21 and JK=12 .
Learn more about Segment Addition Postulate here:
brainly.com/question/22093187
#SPJ2
If ABC is reflecting across the y-axis ,what are the coordinates of c’?
HELPPPP ASAP !!!!!!!
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
segment EF = 6 units
segment EF = 9 units
segment EF = 12 units
segment EF = 16 units
Answer:
Segment EF = 16 units
Step-by-step explanation:
First we will figure out our equation:
Line FD is adjacent to angle a.
Line EF is opposite to angle a
and line ED is the hypotenuse.
Since we will being using Tangent, the hypotenuse is irrelevant.
Tan a° = [tex]\frac{opposite}{adjacent}[/tex]
Now substitute:
[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]
Multiply both sides by 12:
[tex](12)tan\frac{3}{4} =x[/tex]
Solve for tangent by using your calculator:
[tex]tan \frac{3}{4}= 1.333333333[/tex]
[tex](12)1.333333333= 16[/tex]
[tex]16 = x[/tex]
EF = 16 units.
Answer: the one above is correct
Step-by-step explanation:
Took the test!! :)
How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Given:
[tex]\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\[/tex]
Following are the graph attachment to this question:
The second function, that is [tex]g(x)= (\frac{2}{3})^x[/tex] is not even a function.
Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.
Reflection in the axis.
In x-axis:
Increase the function performance by -1 to represent an exponential curve around the x-axis.
In y-axis:
Increase the input of the function by -1 to represent the exponential function around the y-axis.
We want to compare the graphs of the two given functions. We will see that the graph of g(x) is the graph of f(x) reflected across the line y = x.
The given functions are:
f(x) = (3/2)*x
g(x) = (2/3)*x
Note that each point on the line f(x) is written as:
(x, (3/2)*x)
And each point on the line g(x) is written as:
(x, (2/3)*x)
Now, if we multiply both sides of the above point by (3/2) we will get:
((3/2)*x, x)
Now, remember that for a general point (x, y), if we apply reflection across the line y = x, we get.
(y, x)
So the order of the values changes, exactly as we can see for f(x) and g(x).
Then we can conclude that g(x) is obtained by reflection f(x) across the line y = x.
Then the graph of g(x) is the graph of f(x) reflected across the line y = x.
If you want to learn more, you can read:
https://brainly.com/question/14536884
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
A:(-8/3,0)
B:(0,-8/3)
C:(4,0)
D:(0,4)
E:(-4,0)
Answer:
C
Step-by-step explanation:
x-intercept occurs when y=0.
2x -3y= 8
When y=0,
2x -3(0)= 8
2x= 8
x= 8 ÷2
x= 4
Thus the coordinates is (4,0).
Given this rectangular prism with length
= 15 m, height
= 25 m, and Volume
13, 500 m*, find the missing width of the prism:
V = 13,500 m²
25 m
15 m
? m
Answer: width = 36 m
Step-by-step explanation:
Width = Volume / (height x length)
Width = 13500 / (25 x 15)
= 13500/375
= 36 m
What is the surface area of the figure?
4 cm
3 cm
5 cm
1.5 cm
8 cm
o
A. 12 cm2
B. 24 cm
O
C. 28 cm2
O
D. 42 cm2
Answer:
It should be 24 cm^2
Step-by-step explanation:
there are 3 shape. 2 rectangles and a triangle
to find the area for the rectangle is length x width
to find the area of a triangle its 1/2 x base x height
the small rectangle
4*1.5=6
the bigger rectangle
3*4=12
the triangle
1/2*4*3
1/2*12=6
Add them all up and you get 24
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
Factor the quadratic expression completely: 15x^2 - 4x -4
WHY IS THIS SO HARD !!!!!
Step-by-step explanation:
We can rewrite as 15x² + 6x - 10x - 4. The first two and last two terms have common factors so this turns into 3x (5x + 2) - 2 (5x + 2). This will then become (5x + 2)(3x - 2).
Answer:
(-2 + -5x)(2 + -3x)
Simplifying
15x2 + -4x + -4
Reorder the terms:
-4 + -4x + 15x2
Factor a trinomial.
(-2 + -5x)(2 + -3x)
Final result:
(-2 + -5x)(2 + -3x)
Can i get Brainlest??? Plzzz :D
Solve for x.
-3x-8+6=7
А. x= -7/5
B.x= -1/3
C. x=5
D. x=45
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]-3x-8+6=7[/tex]
[tex]-3x-2=7[/tex]
[tex]-3x-2+2=7+2[/tex]
[tex]-3x=9[/tex]
[tex]$\frac{-3x}{3} =\frac{9}{3} $[/tex]
[tex]-x=3[/tex]
[tex]x=-3[/tex]
Use the given figure to find the length of x.
Answer:
x = 18
Step-by-step explanation:
This problem can be solved using concept of Pythagoras theorem.
Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is [tex]a^2 + b^2 = h^2[/tex]
_________________________________________
Given in the problem
a = 24
b = x
h = x+12
applying Pythagoras theorem
[tex]24^2 + x^2 = (x+12)^2\\=> 576 + x^2 = x^2 + 24x + 144\\=>576 = x^2 + 24x + 144 - x^2\\=> 576 = 24x + 144 \\=> 576 - 144= 24x\\=> 432 = 24x\\=> x = 432/24 = 18[/tex]
for (x+12)^2 we have used formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Thus, value of x is 18.
Select all true statements
Answer:
f(x) has a larger growth rate
f(x) is always greater than g(x)
Step-by-step explanation:
f(x) = 2/5 x
g(x) = -2x
the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive
therefore the correct true statements are:
f(x) has a larger growth rate, and f(x) is always greater than g(x)
options 1 and 3
Step-by-step explanation:
option 1 is correct because f (x) is positive hence making it greater than g(x) which is negative.
Factorise fully
5ac - 10a2b + 30a
Answer:
5a(c-2ab+6)
Step-by-step explanation:
5a is in all three, then factorise
Answer:
5a(−2ab+c+6)
Step-by-step explanation:
Factor 5ac−10a2b+30a
−10a2b+5ac+30a
=5a(−2ab+c+6)
Answer:
5a(−2ab+c+6)
write an equation that defines the function :)
Answer:
see below
Step-by-step explanation:
Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.
what are the values of the coefficents and constant term of 0= 4-7x^2
a=
b=
c=
Answer:
a = -7
b = 0
c = 4
Step-by-step explanation:
Which of the following real-world problems can be modeled with the inequality 384+2x<6x
384
+
2
x
<
6
x
?
Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?
Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?
Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?
Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?
Answer: Gym problem (fourth option)
Step-by-step explanation:
Hi, to answer this question we have to analyze the options given.
For the first option the equation is:
384+2x=6x
Because the problem asks for a solution where both costs are equal.
For the second option the equation is :
384+2x = 6x
Because the problem asks for a solution where both amounts are equal.
For the third option the inequality is:
384+2x>6x
Because the problem asks for a solution where the first cost is more expensive than the second cost.
For the fourth option (gym problem) the inequality is:
384+2x< 6x
Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).
This option is the correct one.
Feel free to ask for more if needed or if you did not understand something.
Simplify. x+5/x^2+6x+5
1/x+1; where x ≠ -1
1/x+1; where x ≠ -1,-5
1/x-5; where x ≠ 5
X-5
Answer:
7x3 + 5x2 + 5
x2
= 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sum =6
Product =5
Factors = 5 , 1
x² + 6x + 5 = x² + x + 5x + 5*1
= x(x + 1) + 5(x+1)
= (x+1) (x +5)
[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]
Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number
of miles driven, x, is shown in the graph
due today
The answer is f(x)=1/2x+25
simplify 17+(-4)-(-16)-2
Answer:
17 - 4 + 16 - 2
13 + 14
27
Hope it helps!! Good luck on your assignment!! :)
Step-by-step explanation:
You have been given the equation: 17+(-4)-(-16)-2. Remember we can always use tricks to find the equation. Plus times Minus is Minus. Minus times Minus is plus. And Plus times Plus is Minus. I would appreciate if you mark me as brainliest!! :)
______________________________
Hey!!!
Solution
17+(-4)-(-16)-2
= 17-4+16-2
=17+16-4-2
=33-6
=27
Hope it helps
Good luck on your assignment
_____________________________
