What is the quotient of -8x^6 over 4x^-3 a) x^9 over 32 b) 4x^9 c) -12 over x^2 d) -2x^9

QUESTION POSTED AT 14/01/2020 - 03:06 PM

Answered by admin AT 14/01/2020 - 03:06 PM

(-8x^6) / (4x^3) can be broken down as (-8/4) * (x^6/x^-3)
you should know that -8/4 is -2
the second part is dividing variables at different powers which is kinda like subtracting powers

think of it as x ^ (6-(-3))
you get x^9
-2 * x ^9
= -2x^9
Post your answer

Related questions

To define the picture plane, the two-dimensional artist must establish a. the borders of the artwork. b. specific atmospheric perspective. c. a figure-ground ambiguity. d. a vanishing point/horizon.

The correct answer among the choices given is option D. To define the picture plane, the two-dimensional artist must establish a vanishing point/horizon.  linear perspective is a design where parallel lines converge into a point on an imaginary line or the vanishing point creating an illusion of depth on a two-dimensional surface.

ANSWERED AT 21/01/2020 - 09:53 AM


QUESTION POSTED AT 21/01/2020 - 09:53 AM

A basket contains 6 pieces of paper numbered from 1 to 6. A hat contains the letters A, B, and C. If a blindfolded person picks a number and a letter, what is the probability that the number is even and the letter is A?

The two events are independent, so the probability of both happening is the product of the two.

Probability of picking an even number is 3/6=1/2
Probability of picking the letter A is 1/3 = 1/3

Product of probability of two independent events = (1/2)(1./3)=1/6.

ANSWERED AT 21/01/2020 - 09:51 AM


QUESTION POSTED AT 21/01/2020 - 09:51 AM

Find the domain of f(x) = the square root of square of the quantity x plus 2.

What are the answer choices?

ANSWERED AT 21/01/2020 - 09:48 AM


QUESTION POSTED AT 21/01/2020 - 09:48 AM

The tables represent two linear functions in a system table one x -6, -3, 0, 3 y= -22, -10, 2, 14 table 2 x = -6, -3, 0, 3 y= -30, -21, -12, -3 what is the solution to this system? a) [-13/3 , -25] b) [-14/3, -54] c) (-13, 50) d) (-14, 54)

Answer: D. (-14, -54)
 WORKINGS
 According to Table 1: y = 4x + 2 … (Equation I)
According to Table 2: y = 3x – 12 … (Equation II)
 Substitute the value of y in equation I (4x + 2) for y in Equation II to solve for x
y = 3x – 12
4x + 2 = 3x – 12
4x – 3x = -12 – 2
x = -14
 Substitute -14 for x in Equation I to solve for y
y = 4x + 2
y = 4(-14) + 2
y = -56 + 2
y = -54
 Therefore, x= -14; y = -54

ANSWERED AT 21/01/2020 - 09:46 AM


QUESTION POSTED AT 21/01/2020 - 09:46 AM

Simplify (x − 4)(x2 + 3x + 2).

(x - 4) (x^2 + 3x + 2)
Multiply x from the first parentheses into the second set of parentheses
(x^3 + 3x^2 + 2x)
Multiply -4 from the first parentheses into the second set of parentheses
(-4x^2 - 12x - 8)
Add both equations together
(x^3 + 3x^2 + 2x) + (-4x^2 - 12x - 8) =
(x^3 - 1x^2 - 10x -8)

ANSWERED AT 21/01/2020 - 09:45 AM


QUESTION POSTED AT 21/01/2020 - 09:45 AM

Which statement describes the graph of f(x) = 4x2 + 20x + 25? A.The graph does not intersect the x-axis B.The graph touches the x-axis at (–2.5, 0). C.The graph intersects the x-axis at (–0.4, 0) and (0.4, 0). D.The graph intersects the x-axis at (2, 0) and (5, 0).

To determine the nature of the graph and on what points will it intersect the x - axis, determine the roots of the graph first. One way to find the roots is to use the quadratic formula, x = (-b +/- sqrt(b^2 - 4ac))/ 2a. Using this formula we get, x = -2.5. Thus, the answer is letter B. 

ANSWERED AT 21/01/2020 - 09:43 AM


QUESTION POSTED AT 21/01/2020 - 09:43 AM

Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 In which section of the graph does the actual solution to the system lie? 1 2 3 4

We need to assign a value for x to check the possible values of y. 1st inequality: y < -0.75x X = - 1 ; y < -0.75(-1) ; y < 0.75 possible coordinate (-1,0.75) LOCATED AT THE 2ND QUADRANT X = 0 ; y < -0.75(0) ; y < 0 possible coordinate (0,0) ORIGIN X = 1 ; y < -0.75(1) ; y < -0.75 possible coordinate (1,-0.75) LOCATED AT THE 4TH QUADRANT 2nd inequality: y < 3x -2 X = -1 ; y < 3(-1) – 2 ; y < -5 possible coordinate (-1,-5) LOCATED AT THE 4TH QUADRANT X = 0 ; y < 3(0) – 2 ; y < -2 possible coordinate (0,-2) LOCATED AT THE 4TH QUADRANT X = 1 ; y < 3(1) – 2 ; y < 1 possible coordinate (1,1) LOCATED AT THE 1ST QUADRANT The actual solution to the system lies on the 4TH QUADRANT.

ANSWERED AT 21/01/2020 - 09:43 AM


QUESTION POSTED AT 21/01/2020 - 09:43 AM

Find the constant of variation for the relationship shown in the following table: x 1 2 3 4 y 4 8 12 16 A. 1 B. 2 C. 3 D. 4

The correct answer is 4
It increases by 4 each time

ANSWERED AT 21/01/2020 - 09:41 AM


QUESTION POSTED AT 21/01/2020 - 09:41 AM

In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2? a)AF:AE b)BC:EF c)EF:AH d)AH:EF e)AH:AD

Answer:

As given Point A is the center of the circle.

We will answer this question by considering all the options.

Option 1. FA : AE    [ Both FA and EA are radius of circle .So their ratio can't be equal to 1:2.]

Option 2. CB : FE  [ CB is a chord and FE is a Diameter  as length of Chord not given, So we can't Predict about their Ratio.]

Option 3: FE : AH  [As FE is the Diameter and AH is radius.Diameter = 2 × Radius,So FE : AH=2:1]

Option 4 : AH : FE  [Explained above AH: FE=1:2]

Option 5:  AH : AD  [AH is the radius of the circle and D is any point on AH So their ratio can't be 1:2.]

Option (d) AH : FE = Radius : Diameter=1:2 is true.


ANSWERED AT 21/01/2020 - 09:40 AM


QUESTION POSTED AT 21/01/2020 - 09:40 AM

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true? a. m∠A = 15° and m∠C = 35° b. m∠A + m∠B = 155° c. m∠A + m∠C = 60° d. m∠A = 20° and m∠C = 30°

The only choice that doesn't imply something absurd is 'b' .
____________________________________________

OK.  I didn't want to have to do this, but it seems to be necessary:

-- We have an isosceles triangle.
Two sides are equal and the third one is different.
That means that two angles are equal and the third one is different.

-- All 3 angles in a triangle always add up to 180°
One angle is 130°.  If that one were one of the two equal angles,
then just those two would add up to 260° even without the 3rd angle.
So the 130° angle must be the one that's different.

-- The other two angles add up to (180 - 130) = 50°.
And they're the ones that are equal.
So  <A  and  <C  are each  25° .

-- Choice-a).  <A=15° and <C=35°.  No.  Then the triangle wouldn't have
                                                             two equal angles.

-- Choice-b).  <A + <B = 155°.  Yes.  Given <B=130, and we calculated <A=25°.

-- Choice-c).  <A+<C = 60° .  No.  They're each 25°.
                                                   If they were each 60°, then the total
                                                   for the triangle would be (130+60+60) = 250° .

-- Choice-d).  <A20=20° and <C=30°.  No.  Then the triangle wouldn't have
                                                                  two equal angles.

ANSWERED AT 21/01/2020 - 09:39 AM


QUESTION POSTED AT 21/01/2020 - 09:39 AM

Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? f(x) = 4x − 1 x g(x) 1 3 4 6 7 9 answers: AThe function f(x) has a higher y-intercept. B The function g(x) has a higher y-intercept. CThey both have the same y-intercept. D The relationship between y-intercepts cannot be determined.

we know that

The y-intercept is the value of the function when the value of x is equal to zero

Step 1

Find the y-intercept of f(x)

f(x)=4x-1

for x=0

f(0)=4*0-1

f(0)=-1

the y-intercept of f(x) is equal to -1

Step 2

Find the equation of the line g(x)

Let

A(1,3)\\B(4,6)\\C(7,9)

Find the slope AB

the slope m is equal to

m=\frac{(y2-y1)}{(x2-x1)}

substitute the values

m=\frac{(6-3)}{(4-1)}

m=1

with the slope and the point A find the equation of the line

y-y1=m(x-x1)

y-3=1*(x-1)

y=x-1+3

y=x+2

therefore

the function g(x) is equal to

g(x)=x+2

Step 3

Find the y-intercept of g(x)

g(x)=x+2

for x=0

g(0)=0+2

g(0)=2

the y-intercept of g(x) is equal to 2

therefore

the answer is the option

B The function g(x) has a higher y-intercept.

ANSWERED AT 21/01/2020 - 09:39 AM


QUESTION POSTED AT 21/01/2020 - 09:39 AM

What is the value of 5p5 A. 5 B. 25 C. 120 D. 125

i just did the test and the answer was 120 trust me

ANSWERED AT 21/01/2020 - 09:38 AM


QUESTION POSTED AT 21/01/2020 - 09:38 AM

Please help me Let f(x)=x^2+5 and g(x)= (x+5)/5 . find (g o f)(-3).

f(x)  =   x^{2}   +   5                   g(x) =  \frac{x + 5}{5}

First find gf(x) by substituting the expression for f(x) wherever there is an x in the g(x) function 

gf(x) =  \frac{( x^{2}  +  5 )  +  5}{5}

Simplify the equation and then substitute -3 where the x's are in gf(x)

gf(x) =   \frac{ x^{2}   +  10}{5}

gf(-3)  =   \frac{(-3)^{2}  +  10 }{5}
          
           =   \frac{9 +  10}{5}
 
           =   \frac{19}{5}

Keen to note that if you worked f(-3) first and then substituted that into g(x) then you would get the same answer.

ANSWERED AT 21/01/2020 - 09:37 AM


QUESTION POSTED AT 21/01/2020 - 09:37 AM

What is the simplified form of the quantity of x plus 9, all over the quantity of 8 − the quantity of x plus 3, all over the quantity of x plus 2?

Answer:

The Answer would be x^2+3x-6/8(x+2)

Step-by-step explanation:


ANSWERED AT 21/01/2020 - 09:37 AM


QUESTION POSTED AT 21/01/2020 - 09:37 AM

Suppose the point (2,4) is on the graph of f(x). Find a point of the function y=3f(x)

Is it related to coordinates?

Q1
Q2
Q3
Q4
these ones or its something else

ANSWERED AT 21/01/2020 - 09:36 AM


QUESTION POSTED AT 21/01/2020 - 09:36 AM

Which of the following shows why the commutative property doesn't work under subtraction? A. 5 – 1 ≠ 1 – 5 B. 5 – 1 ≠ 5 – 1 C. 3 + 2 ≠ 2 + 3 D. 5 + 1 = 7 – 1 And if you could please explain how you get the answer.

Answer:

option (a) shows that the commutative property do not holds under subtraction.

(a) 5 – 1 ≠ 1 – 5

Step-by-step explanation:

Given : Some options showing operation subtraction.

We have to choose out of given options which one shows that the commutative property doesn't work under subtraction.

Commutative property under addition states that for given any two positive numbers and b then following property holds a=b=b+a that is it is irrespective of place the numbers are arranged like 2 + 3 = 3+ 2

but when we subtract two number the order or place of number matters.

Like 3 - 2 = 1 but 2 - 3 = -1 ≠ 1

Thus, the commutative property do not holds under subtraction.

5 – 1 = -4 ≠ 1 – 5 = -4

So, option (a) shows that the commutative property do not holds under subtraction.

ANSWERED AT 21/01/2020 - 09:34 AM


QUESTION POSTED AT 21/01/2020 - 09:34 AM

Erica purchased adult and youth tickets for a movie. She bought x adult tickets for $7 each and y youth tickets for $5. Write an expression that can be used to show the total cost, C, of all tickets. A. C = 7x + 5y B. C = (7 + 5)x C. C = (7 + 5)(x + y) D. C = 7y + 5x

Answer:  A  

Step-by-step explanation: I got my answer from peesneez and I also got a 100 on the test so, Thanks Peesneez!

ANSWERED AT 21/01/2020 - 09:33 AM


QUESTION POSTED AT 21/01/2020 - 09:33 AM

Given that MNOP is a rectangle, find x and y. A. x = 100, y= 81 B. x = 50, y = 27 C. x = 55, y = 27 D. not enough information

Answer:

B. x=50, y=27

Step-by-step explanation:

Since we know that MNOP is a rectangle we also know that each angle equals 90°.

So now we do

2x-10=90           3y+9=90

+10     +10                -9   -9

2x=100                    3y=81

/2      /2                     /3  /3

x=50                          y=27

ANSWERED AT 21/01/2020 - 09:33 AM


QUESTION POSTED AT 21/01/2020 - 09:33 AM

What else would need to be congruent to show that ABC DEF by ASA? A. bc ef B. C F C. ac df D. A D

Definition: Two triangles are congruent if their corresponding sides are equal in length, in which case their corresponding angles are equal in measure.
ASA Postulate: If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.
To show that ΔABC is conguent to ΔDEF by ASA you have:

1. m\angle B=m\angle E=50^{\circ};
2. AB=DE=10
and you should have the measure equality of second pair of angles, adjacent to the corresponding sides AB and DE:
3. m\angle A=m\angle D.

Answer: correct choice is D.


ANSWERED AT 21/01/2020 - 09:33 AM


QUESTION POSTED AT 21/01/2020 - 09:33 AM

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be A) less than 90°. B) greater than 90°. C) congruent to angle B. D) congruent to angle C.

We have to find the correct statement for angle A in a triangle ABC, which is an obtuse triangle. We know that angle B is obtuse ( greater than 90 degrees ). Therefore angles A and C must be less than 90 degrees. Angle A can not be congruent to angle B ( angle B > angle A ). It can be congruent to angle C but just in case that ABC is an isosceles obtuse triangle. Answer: Angle A must be A ) less than 90 degrees.

ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

Simplify the expression (6x^3/3x^4)^2 A. 12x^5/6x^6 B. 4/x^2 C. 2x^6/x^8 D. 2/x

The Answer is B.
Sol: (6/3x^(3-4))^2
= (2/x)^2
=4/x^2


ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

Which are the possible side lengths of a triangle a. 3 cm, 5 cm, 9 cm b. 4 cm, 8 cm, 10 cm c. 6 cm, 9 cm, 17 cm d. 8 cm, 10 cm, 18 cm

Possible side lengths of a triangle are determined by the triangle inequality:
a+b>c
where a and b are the shorter sides, (i.e. c is the longest side).
Note that equality does not hold, because it will make a "triangle" with an angle equal to zero degrees.

An example, choice a, 3+5<9, so they are not possible side lengths.

EDITED 2018-02-26
As already indicated in comments, (4, 8, 10) is a feasible set of sides for triangles because the shorter sides are 4 and 8, and the sum (12) is greater than the third side (10).

ANSWERED AT 21/01/2020 - 09:32 AM


QUESTION POSTED AT 21/01/2020 - 09:32 AM

. Complete the following equation using <, >, or = 7 ___24∕4 A. = B. > C.

The answer Should be B

ANSWERED AT 21/01/2020 - 09:31 AM


QUESTION POSTED AT 21/01/2020 - 09:31 AM

The image of (-1, 2) reflected across the line y = -x is what?

( -2, 1 ) is the image of ( -1,2 ) reflected across the line y=-x.

ANSWERED AT 21/01/2020 - 09:30 AM


QUESTION POSTED AT 21/01/2020 - 09:30 AM

Please help me on 32 thx :)

The answer is A because Katie saved twice as much as Rachel, plus five dollars more I think

ANSWERED AT 21/01/2020 - 09:29 AM


QUESTION POSTED AT 21/01/2020 - 09:29 AM