Mathematics, 12.12.2019 21:31 syyyd423

I'm not sure how to set up this equation. aquarium a contains 4.6 gallons of water. louise will begin filling aquarium a at a rate of 1.2 gallons per minute.

aquarium b contains 54.6 gallons of water. juliet will begin draining aquarium b at a rate of 0.8 gallons per minute.

after how many minutes will both aquariums contain the same amount of water?

Answers: 3

Show answers

Answers

Answer from: Quest

- 2 $x^{4}$ + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 $x^{4}$ + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 $x^{4}$ + 10x³ - 21x² + 19x - 4 ← in standard form

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

a. 12.5 kg

step-by-step explanation:

f = ma

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

Answer from: Quest

Prove that every odd prime number can be written as a difference of two squares.prove also that this presentation is unique.is such presentation possible if p is just an odd natural number? can 2 be represented this way?

answers

\3. yes the presentation (i.e. odd numbers being written as differences of two squares) is possible for all odd natural number however the presentation may not be unique. for example, 57=112−82=292−28257=112−82=292−282.

\4. 2 can't be written as a difference of two squares because 4-1=3 and 1-1=0 and the difference of squares grows to integers larger that 3.

can i get some in proving questions 1 and 2?

Another question on Mathematics

Mathematics, 21.06.2019 18:00

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. fred spun the spinner 688 times. which of the following would be a good estimate of the number of times the spinner lands on the green section? a. 269 b. 603 c. 344 d. 189

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

Table of values relation g values x, y 2,2 /3,5 /4,9 /5,13 which ordered pair is in g inverse? a(-2,2) b(-3,-5) c)4,9) d( 13,5)

Answers: 3

Answer

Mathematics, 22.06.2019 00:30

Which equation represents h for right triangle abc

Answers: 1

Answer

You know the right answer?

I'm not sure how to set up this equation. aquarium a contains 4.6 gallons of water. louise will begi...