Questions posted in Mathematics

Select all the expressions that are equivalent to the polynomial below. (4x+5)(-3x-1)A (-16x2 + 10x - 3) + (4x2 - 29x - 2)B 3(x - 5) - 2(6x2 + 9x + 5)C 2(x - 1) - 3(4x2 + 7x + 1)D (2x2 - 11x - 9) - (14x2 + 8x - 4)E (-15x2 + 9x - 10) + (3x2 - 10x - 5)F (4x2 - 13x - 7) - (16x2 + 9x - 5)

Answer:

Options A,C and D

Step-by-step explanation:

(4x+5)(-3x-1) = -12x²-19x-5

Option A:

    (-16x² + 10x - 3) + (4x² - 29x - 2) = -12x²-19x-5

    Option A is correct.

Option B:

    3(x - 5) - 2(6x² + 9x + 5) = -12x²-15x-25

    Option B is wrong.

Option C:

    2(x - 1) - 3(4x² + 7x + 1) = -12x²-19x-5

    Option C is correct.

Option D:

    (2x² - 11x - 9) - (14x² + 8x - 4) = -12x²-19x-5

    Option D is correct.

Option E:

    (-15x² + 9x - 10) + (3x² - 10x - 5) = -12x²-x-15

    Option E is wrong.

Option F:

    (4x² - 13x - 7) - (16x² + 9x - 5) = -12x²-22x-2

    Option F is wrong.

ANSWERED AT 07/12/2019 - 02:30 AM


QUESTION POSTED AT 07/12/2019 - 02:30 AM

How to determine if a function is one to one algebraically?

All you have to do is multiply the least commen donomenator by 2 and that will be your answer

ANSWERED AT 07/12/2019 - 02:29 AM


QUESTION POSTED AT 07/12/2019 - 02:29 AM

If the population decreases with a constant rate of change and the decrease is 7% in the first year, what will the town's population be in 6 years? (round to the nearest person)

Given that the population of a town today is 33,000 people.

If the population decreases with a constant rate of change and the decrease is 7% in the first year.

The decrease in the population of the town in the first year is given by 0.07 x 33,000 = 2,310

The decrease in the population of the town in 6 years is given by 2,310 x 6 = 13,860

Therefore, in 6 years, the town's population will be 33,000 - 13,860 = 19,140

ANSWERED AT 07/12/2019 - 02:28 AM


QUESTION POSTED AT 07/12/2019 - 02:28 AM

Vince has 26 beads.how many different arrays can Vince draw to represent the total number of beads he has? list the sizes of the arrays .

Only one set of factors for 26, which is 2 by 13

ANSWERED AT 07/12/2019 - 02:25 AM


QUESTION POSTED AT 07/12/2019 - 02:25 AM

A hand-held digital music player was marked down by 1/4 of the original price. a. If the sales price is $128.00, what is the original price? b. If the item was marked up by 1/2 before it was placed on the sales floor, what was that the store paid for the digital player.?

Answer:

a) The original price of music player is $170.66

b)If the item was marked up by 1/2 before it was placed on the sales floor, the store paid $213.325 for the digital player.

Step-by-step explanation:

Let the original price be x

A hand-held digital music player was marked down by 1/4 of the original price.

So, Discount = \frac{1}{4}x

So, Sale price =x-\frac{x}{4}=\frac{3x}{4}

We are given that  the sales price is $128.00

So, \frac{3x}{4}=128

x=\frac{128 \times 4}{3}

x=170.66

a) The original price of music player is $170.66

The item was marked up by 1/2 before it was placed on the sales floor.

So, Cost = 170.66+\frac{1}{4} \times 170.66

Cost = 213.325

b)If the item was marked up by 1/2 before it was placed on the sales floor, the store paid $213.325 for the digital player.

ANSWERED AT 07/12/2019 - 02:25 AM


QUESTION POSTED AT 07/12/2019 - 02:25 AM

Chloe is planning her wedding and trying to decide on where to purchase her floral arrangements. At Petals Plus, the arrangements cost $32.84 each, and the store charges $65.00 for delivery of the flowers to the wedding site. At Blooms, the arrangements cost $27.17 each, and the store charges $115.00 for delivery of the flowers to the wedding site. How many arrangements should she purchase from Blooms in order to get a better value?

If she buys ten flower arrangments and delivery at blooms it will cost her 386.7$

if she buys ten flower arrangments and delivery at petal plus it will cost her 
393.4

she will get a better value if she gets her flower arrangments from blooms.

ANSWERED AT 07/12/2019 - 02:25 AM


QUESTION POSTED AT 07/12/2019 - 02:25 AM

A grandmother says her grandson is two years older than her granddaughter and that togther, they are at least 12 years old. how old are her grandson and granddaughter

 x will be the granddaughter's age
x=2 will be the grandson's age.

x + x + 2 ≥ 12        Collect like terms.
           2x ≥ 12            Divide both sides by 2.             x ≥ 6 years      x + 2 ≥ 8 years

ANSWERED AT 07/12/2019 - 02:25 AM


QUESTION POSTED AT 07/12/2019 - 02:25 AM

If 3 (x+1) =7 find the value of 3x

The value of 3x would be 4/3.
Distribute the 3 in the parenthesis and you get:
3x+3=7
Then subtract 1 on both sides of the equal side.
3x=4
Therefore, the value of 3x would be 4.

ANSWERED AT 07/12/2019 - 02:17 AM


QUESTION POSTED AT 07/12/2019 - 02:17 AM

What do Subway fraction and a whole number it is 5/6 x 36

The answer to this question is 221/6 I believe

ANSWERED AT 07/12/2019 - 02:17 AM


QUESTION POSTED AT 07/12/2019 - 02:17 AM

If s = {r, u, d} is a set of linearly dependent vectors. if x = 5r + u + d, determine whether t = {r, u, x} is a linearly dependent set

Consider any arbitrary linear combination of the vectors \mathbf r,\mathbf u\,\mathbf x. We have

c_1\mathbf r+c_2\mathbf u+c_3\mathbf x=c_1\mathbf r+c_2\mathbf u+c_3(5\mathbf r+\mathbf u+\mathbf d)
=(c_1+5c_3)\mathbf r+(c_2+c_3)\mathbf u+c_3\mathbf d
=c_4\mathbf r+c_5\mathbf u+c_6\mathbf d

We know \mathbf r,\mathbf u,\mathbf d are linearly dependent, which means there must exist some choice of not all zero constants c_4,c_5,c_6 such that the combination above gives the zero vector. So T=\{\mathbf r,\mathbf u,\mathbf x\} is a set of linearly dependent vectors.

ANSWERED AT 07/12/2019 - 02:16 AM


QUESTION POSTED AT 07/12/2019 - 02:16 AM

Calculate δe, if q= 0.764 kj and w= -830 j . express your answer using two significant figures.

Given:
Q = 0.0764 kJ = 764 J, heat input
W = -830 J, useful work done

From the 1st Law of Thermodynamics, the change in internal energy is
δE = Q - W
     = 764  - (-830)
     =  1594 J = 1.594 kJ

Answer: 1.59 kJ (two sig. fig.)

ANSWERED AT 07/12/2019 - 02:08 AM


QUESTION POSTED AT 07/12/2019 - 02:08 AM

I need help with my algebra 1

5 matches with B
6 matches with C
7 matches with A

ANSWERED AT 07/12/2019 - 02:07 AM


QUESTION POSTED AT 07/12/2019 - 02:07 AM

A square garden has an area of 182 square feet about how many feet of fencing do u need

Answer:  about 54 ft."  .
__________________________________________________
Explanation:
____________________
A = L * w ; 

A square is a rectangle that has all equation sides; 

so; for a square.  (L = w).

or, "A = s² " ; in which "s" in the length of any one side.
 ______________
Since "A = s² "

And "A = 182 ft² " ;

we need to solve for "s" ;

and then find the perimeter of the square with is:  "4*s" .
_______________________
  A = s² ;   ↔ s² = A ;   s² = 182 ft² ;  

                Take positive square root of each side of the equation; to isolate "s" on one side of the equation ; and to solve for "s" ;

  √(s²) =  √(182 ft²)  ;

to get:  s = √182  ft, = 53.9629502529281659 ft.
  _________________________________
The perimeter:  4* s = 4√(182 ft) =  4* (13.4907375632320415 ft.) ;
 _________________________________________________
                                                   = 53.9629502529281659 ft. 
  __________________________________________________
                                                round to 54 ft.
_______________________________________________

ANSWERED AT 07/12/2019 - 02:07 AM


QUESTION POSTED AT 07/12/2019 - 02:07 AM

A taxi charges $2.50 plus $.20 for every 1/4 mile. how many miles can you go if you have $12.50

$12.50-the one-time fee of $2.50=$10. $10/every half mile $0.20=50, 50/a quarter mile=12.5 miles.

ANSWERED AT 07/12/2019 - 02:05 AM


QUESTION POSTED AT 07/12/2019 - 02:05 AM

Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B. A. 6 cm by 1.5 cm B.10 cm by 2 cm C. 13 cm by 4 cm D.18 cm by 4.5 cm E.80 cm by 20 cm

Answer: Options 'A' and 'D' are correct that could be the dimensions of Rectangle B.

Step-by-step explanation:

Since we have given that

Dimensions of Rectangle A is given by

12 cm by 3 cm.

And Rectangle B is a scaled copy of rectangle A.

So, by options we can check :

A. 6 cm by 1.5 cm

\dfrac{12}{6}=2\\\\and\\\\\dfrac{3}{1.5}=2

so, it is scaled dimension copy of rectangle A.

D.18 cm by 4.5 cm

\dfrac{12}{18}=0.67\\\\and\\\\\dfrac{3}{4.5}=0.67

So, it is also scaled copy of rectangle A.

Hence, Options 'A' and 'D' are correct that could be the dimensions of Rectangle B.

ANSWERED AT 07/12/2019 - 02:04 AM


QUESTION POSTED AT 07/12/2019 - 02:04 AM

I'm working at a distribution place and need help i'm supposed to be averaging 1000 units every hours if i do 4800 in a shift i'm 48 minutes behind schedule how many units per a hour am i averaging

Expected throughput is
1000 units/h

Therefore the expected time for 4800 units is
(4800 units)/(1000 units/h) = 4.8 hours = 288 minutes

Because the worker is 48 minutes behind schedule, the actual time is
288 + 48 = 336 minutes = 5.6 hours

The actual average throughput is
(4800 units)/(5. h) = 857 units per hour.

Answer:  857 units per hour.

ANSWERED AT 07/12/2019 - 01:57 AM


QUESTION POSTED AT 07/12/2019 - 01:57 AM

Which quadrant is the point (5.2,-1.7) Located? IVIIIIII

It will be in the bottom right quadrant which is quadrant IV

ANSWERED AT 07/12/2019 - 01:57 AM


QUESTION POSTED AT 07/12/2019 - 01:57 AM

We _____ when calculating the average deviation, because the sum of all deviation scores around the mean equals zero.

Subtract because it has to deal with the many signs

ANSWERED AT 07/12/2019 - 01:57 AM


QUESTION POSTED AT 07/12/2019 - 01:57 AM

Find the equation of the circle with center at the origin that contains the point ( 12 , 9 ) (12,9).

Radius is the length of line from centre to (12,9)
Equation of circle: (x-12)+(y-9)=r^2
r=√12^2+9^2=√169
r^2=(√169)^2=169
hence, (x-12)+(y-9)=169

ANSWERED AT 07/12/2019 - 01:56 AM


QUESTION POSTED AT 07/12/2019 - 01:56 AM

Which ordered triple is a solution of this system? 2x + y - z = 7 -x - 2y + 4z = -15 x + 2y - 5z = 17 a) (3, 1, 0) b) (1, 3, -2) c) (2, 5, 2) d) (-2, 6, -5)

Answer:

  b)  (1, 3, -2)

Step-by-step explanation:

A suitable calculator can give you the answer to this right away. Or, you can try the answer choices in the equations to see which works.

The answer choice that works is choice B.

  2·1 +3 -(-2) = 7

  -1 -2(3) +4(-2) = -15

  1 +2(3) -5(-2) = 17

ANSWERED AT 07/12/2019 - 01:51 AM


QUESTION POSTED AT 07/12/2019 - 01:51 AM

The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price. Which expression represents the amount of tax that is paid on the bicycle? A) 1.09x B) 0.09x C) 0.09x - 30 D) x - 30

Actually I took the test and it was B. 0.09x. Btw the answer can't be 0.09x - 30 because we aren't finding what it equals we are finding "which expression represents the amount of tax that is paid on the bicycle".

ANSWERED AT 07/12/2019 - 01:50 AM


QUESTION POSTED AT 07/12/2019 - 01:50 AM

Greg is 5 feet three inches tall and weighs 260 pounds. greg is ________.

Greg is within the obese range.

ANSWERED AT 07/12/2019 - 01:50 AM


QUESTION POSTED AT 07/12/2019 - 01:50 AM

G what is the measure of the complement of the supplement of a 157degrees° ​angle

Hmmmmmmm tuff one.......

ANSWERED AT 07/12/2019 - 01:48 AM


QUESTION POSTED AT 07/12/2019 - 01:48 AM

Simplify the following expression 12 1/2 + (-25)

The answer for this question is: -12 1/2

ANSWERED AT 07/12/2019 - 01:48 AM


QUESTION POSTED AT 07/12/2019 - 01:48 AM

A man has 20 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 425 cents, how many dimes and how many quarters does he have? your answer is

Using the guess and test method, I found that:

15 quarters = $3.75
5 dimes = $0.50

Total: 20 coins = $4.25 or 425 cents

ANSWERED AT 07/12/2019 - 01:48 AM


QUESTION POSTED AT 07/12/2019 - 01:48 AM

Twelve people join hands for a circle dance. in how many ways can they do this?

479001600 different combinations

ANSWERED AT 07/12/2019 - 01:44 AM


QUESTION POSTED AT 07/12/2019 - 01:44 AM