What polynomial M will make the equation
an
identity?
(4a2+7a -b)-M = 3a2+b
M =

Answer:

B.

Subtraction property of equality.

Answer:  In 20 minutes, tanks A and B will each have 120 gallons remaining in them.

Step-by-step explanation:

The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.

220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.

220-180 -5m +5m = 180-180 +5m - 3m  Combine like terms

40 = 2m  Divide both sides by 2

20 = m

Check: Substitute 20 for m in the equation

220 - 5(20) = 180 - 3(20)

220 - 100 = 180 -60

120 = 120   True!

Answer:

x=63/8

The decimal form is: x=7.875

Answer:

20 Feet away

sqrt((a*a)+(b*b))

10 I would say

Unless 18 one of those

Answer:

b, 46 feet..?

Step-by-step explanation:

im not exactly sure either, maybe try b..?

its an estimate, but i hope this helped! <3

Answer:

the equation of the line will be: [tex]y=x-4[/tex]

Step-by-step explanation:

Equation of line: x + y = 6

We need to write an equation for the perpendicular line that goes through

(5, 1).

The equation will be in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

Equation of line given is: x+y=6

Writing it in slope-intercept form: [tex]y=-x+6[/tex]

The slope of this line is m = -1 (By comparing it with [tex]y=mx+b[/tex] we get m = -1)

Since the required line is perpendicular, their slopes will be opposite inverse of each other i.e. [tex]m_1=-\frac{1}{m_1}[/tex]

So, slope of required line will be: m=1

Now, using the point (5,1) and slope m=1 we can find y-intercept

[tex]y=mx+b\\1=1(5)+b\\1=5+b\\b=1-5\\b=-4[/tex]

So, we get y-intercept b = -4

Now, the equation of required line, having slope m=1 and y-intercept b = -4

[tex]y=mx+b\\y=1x-4[/tex]

So, the equation of the line will be: [tex]y=x-4[/tex]

Answer:

Non Linear

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.

Answer: x>-2

Step-by-step explanation:

Answer:   x<−2

Step-by-step explanation:

3x-15>-21​

3x<15-21

3x<-6

3x/3<-6/3

x<-2

The answer is x<-2

Hope it helps

Answer:

1 1/3

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

1/3+4/8+6/18=7/6

Answer:6

Step-by-step explanation:

Answer:

The answer is 6 :)

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{2 + 3Ce^{-3t} }[/tex]

Step-by-step explanation:

As given , y' = 3y - 2y²

⇒y' - 3y = -2y²

Divide by y² in the above equation

⇒[tex]\frac{y'}{y^{2} } - \frac{3y}{y^{2} } = -\frac{2y^{2} }{y^{2} }[/tex]

⇒[tex]\frac{y'}{y^{2} } - \frac{3}{y } = -2[/tex]       ........(1)

Now , let [tex]\frac{1}{y}[/tex] = u

⇒-[tex]\frac{1}{y^{2} } \frac{dy}{dt} = \frac{du}{dt}[/tex]

⇒-[tex]\frac{1}{y^{2} }y' = \frac{du}{dt}[/tex]

∴ equation (1) becomes

-[tex]\frac{du}{dt}[/tex] - 3u = -2

⇒[tex]\frac{du}{dt}[/tex] + 3u = 2

It is a linear differential equation

Now,

Integrating factor = I.F = [tex]e^{\int\limits {3} \, dt }[/tex] = [tex]e^{3t}[/tex]

∴ The solution becomes

u.(I.F) = [tex]\int\limits {2.(I.F)} \, dt[/tex] + C

⇒u.([tex]e^{3t}[/tex]) = [tex]\int\limits {2.(e^{3t} )} \, dt[/tex] + C

⇒u.([tex]e^{3t}[/tex]) = [tex]\frac{2e^{3t} }{3}[/tex] + C

⇒u = [tex]\frac{2}{3} + Ce^{-3t}[/tex]

As [tex]\frac{1}{y}[/tex] = u

⇒[tex]\frac{1}{y}[/tex]  = [tex]\frac{2}{3} + Ce^{-3t}[/tex]

⇒ y = [tex]\frac{1}{\frac{2}{3} + Ce^{-3t} } = \frac{3}{2 + 3Ce^{-3t} }[/tex]

⇒ y = [tex]\frac{3}{2 + 3Ce^{-3t} }[/tex]

Answer: 21.4

Step-by-step explanation:

13² + 17² = C²

169 + 289 = C²

458 = C²

√458 = C

C = 21.4

Answer:

C.(35×8)-(35×3)

Step-by-step explanation:

35(8-3)

35×8-35×3

280-105

175

(35×8)-(35×3)

(280)-(105)

175

if it's helpful ❤❤❤

THANK YOU

Answer:

(35×8)-(35×3)

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

Just solve the equation by subtracting 34-23= 11, then multiply 11 by 3, which is what you get from subtracting 5-2= 3. Finally, subtract 33-60= -27.

Answer:

[tex]\frac{19}{29}[/tex]

Step-by-step explanation:

9.5 divided by 14.35 can also be writen as.....

[tex]\frac{9.5}{14.5} = \frac{19}{29}[/tex]

Answer:

1

_

2

Step-by-step explanation:

You should use rise over run or your slope formula.

Answer:

the shortest piece has a length of 8 in, the middle piece would have a length of 60 longest would be 63

Step-by-step explanation:

looked it up on Chegg it was already asked and answered by a expert tutor

Answer:

n = 23

Step-by-step explanation:

if 1/2 (n-5) = 1/2 (23-5)

that must mean that n=23.

and if you are just looking for 1/2 of 23-5 that is just 9. (23-5) = 18 and half of 18 is 9

Answer:

44

Step-by-step explanation:

5x8=40+4=44

Answer:

y > 4x - 2

Step-by-step explanation:

y-intercept is at -2

slope is rise by 4, run by 1

if you don't know where to shade, select a point and plug it in to see if T or F

example (0, 0)

is 0 > 4(0) - 2

is 0 > -2  True, so shade to the left because this is where (0,0) is

Answer:

Step-by-step explanation:

Analyze what each part of the inequality means mathematically.x is the solution of the problem, the quantity you are looking for.6x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 6.− 18 means that, for a reason given in the problem, 18 is subtracted from 6x.≤ 18 means that after multiplying the solution x by 6 and subtracting 18 from it, the result is at most 18.Think of some different situations in which a quantity x might be multiplied by 6.You plant 6 seeds from x different seed packets, and you want to know from how many different seed packets you plants seeds.Build on the situation and adjust it to create a verbal description that takes all of the information of the inequality into account.Elrich planted 6 seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove 18 plants that were already in the garden. Including the plants he removed and the seeds he planted, he expected to have at most 18 plants in the garden. From how many different seed packets did Elrich recently plant seeds?

Work Shown:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = ( f(x) ) + ( g(x) )

(f + g)(x) = (2x+2) + (5x^2+2x)

(f + g)(x) = 2x+2 + 5x^2 + 2x

(f + g)(x) = 5x^2 + (2x+2x) + 2

(f + g)(x) = 5x^2 + 4x + 2

Answer:All even number except 2 are composite numbers. 4 is the smallest composite number.  step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

A. 3.5

Step-by-step explanation:

Given that AB is parallel to A'B', therefore,

CB/CB' = CA/CA'

CB' = 7

CB = CB' + BB' = 7 + BB'

CA' = 6

CA = CA' + AA' = 6 + 3 = 9

Plug in the values

(7 + BB')/7 = 9/6

(7 + BB')/7 = 3/2

Cross multiply

2(7 + BB') = 7(3)

14 + 2BB' = 21

Subtract 14 from both sides

2BB' = 21 - 14

2BB' = 7

Divide both sides by 2

BB' = 7/2

BB' = 3.5

Equation 1: 3y = 2x + 12

Slope: 2/3

X-Intercept: -6

Y-Intercept: 4

Equation 2: 2y - 4x = 12

Slope: 2

X-Intercept: -3

Y-Intercept: 6

Equation 3: 8y - 8 = 4x

Slope: 1/2

X-Intercept: -2

Y-Intercept: 1

Equation 4: 9y + 6x = -72

Slope: -2/3

X-Intercept: -12

Y-Intercept: -8

Equation 5: 4y = -8x + 32

Slope: -2

X-Intercept: 4

Y-Intercept: 8

Here is a graph showing all of the information and the simplified work:

Red line = equation 1

Blue line = equation 2

Green line = equation 3

Purple line = equation 4

Orange line = equation 5