3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)

Answers

Answer 1

Answer:

w = 9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

:)


Related Questions

I need these graphed, they’re easy but I don’t have time to do them since it’s late. Excuse the bad handwriting

Answers

Answer:

For #5 all you have to do is set down to points in order for it to count. The answer is: (0,2) and (3,6)

Step-by-step explanation:

In order to find where exactly you must plot the points, we plug in what we know. In our equation, the 2 is our y intercept, this means that the point is (0,2) (Side Note: here's another example, (0,6) the 6 would be our y intercept)

From the point (0,2) we use the other value given. The other value given in this case, is our slope. When dealing with slope, we use Rise over Run or Rise/Run. This means that from the 2 on the graph, you rise 3 which would be 5 and you run to the right for 4. This now gets you the points (3,6)

Hope this helps with plotting the other questions! :)

(SIDE NOTE: IF THEY GIVE THE VALUE WITH X AS JUST A NUMBER, YOU CAN PLACE A 1 UNDER IT TO TURN IT INTO A FRACTION. FOR EXAMPLE 3X CAN BE TURNED INTO 3/1 WHICH WOULD THEN BE RISE 3 AND RUN 1.

(sooory about the caps, it's just to get your attention.)

What is five times the difference of a number and three?

Btw I need answer immediately

Answers

Answer:

t=x+3

y = (x+3)^2 + 5

y = x^2+6x + 9 + 5

y= x^2 + 6x + 14

Answer:

5 times x-3?

Step-by-step explanation:

Sorry if its wrong i didn't really understand what you wanted.

Solve for x:3(x+1)=-6

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

3(x +1) =-6

3x +3 =-6

3x =-6 - 3

3x=-9

x=-9:3

x=-3

8
Write the equation of the line through the
points (-8, -2) and (-4,-3) in POINT-SLOPE
FORM

Answers

Answer:

Y=-1/4x-4

Step-by-step explanation:

To find the slope, you would need to use the equation y2-y1/x2-x1 by the coordinates. You would get -3-(-2)/-4-(-8). This would result in -1/4. Now that you have your slope, you plug in one of the coordinates. If you used  (-8,-2), you would get -2=-8(-1/4)+b. Simplify the equation to get -2=2+b, which simplifies to -4=b, and b is the y intercept.

factorise x squared - 42 squared​

Answers

Answer:

42 squared is 1764

Step-by-step explanation:

Answer: (x + 42)(x - 42)

Step-by-step explanation:

factorise: x^2 - 42^2

. x^2 - 42^2 have ^2 in common (so you can ignore that).

. put in brackets (x - 42)(x + 42)

. +/- any order really doesn't matter :D

h(x)=x^2-4x-12 in factored form?

k(x)=x^2-4x+8 in factored form?

Answers

Answer:

h(x) = (x-6)(x+2)

k(x) is not further factorable

Step-by-step explanation:

h(x) = x²-4x-12

      = (x-6)(x+2)

k(x) = x²-4x+8

not further factorable

Referring to the methods for calculating average atomic mass, which one is 'incorrect' ?
Mary
Jack
Alan

Answers

Alan's method is correct coz to find we add all the given value and divide by the numbers present

According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches. Answer the following: (this is calculus)
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.

Answers

If PV = 800, then P can be written as a function of V,

P(V) = 800 / V

(a) The average rate of change of P as V increases from 200 to 250 in³ is then

(P (250) - P (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)

... = -0.016 (lb/in²)/in³

(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)

(b) We can also write V as a function of P :

V(P) = 800 / P

Take the derivative:

V'(P) = - 800 / P²

which immediately demonstrates that V'(P) ∝ 1 / P², as required. (The fish-looking symbol, ∝, means "is proportional to".)

If differentiating is supposed to be more involved, you can use the limit definition:

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h[/tex]

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h[/tex]

[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h[/tex]

[tex]V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h[/tex]

[tex]V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}[/tex]

Part(a): The average rate of change of [tex]\frac{dP}{dV}[/tex] is [tex]-0.0164 lb/in^{2}[/tex]

Part(b): The required answer is [tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]

Part(a):

Given,

[tex]PV=800[/tex]

Differentiating the above equation with respect to [tex]V[/tex].

[tex]\frac{dP}{dV}=-\frac{P}{V}[/tex]

Now, at [tex]V=200 in^{3}[/tex] and [tex]P=4 lb/in^2[/tex]

At [tex]V=250 in^3[/tex] and [tex]P=\frac{80}{25} lb/in^2[/tex]

Hence, we can write,

[tex]\frac{dP}{dV}[/tex] at [tex]V=200[/tex] we get,

[tex]\frac{-1}{200}=\frac{-1}{50}[/tex]

Again [tex]\frac{dP}{dV}[/tex] at [tex]V=250[/tex] we get,

[tex]\frac{-80}{25\times 250}[/tex]

So, the average rate of change of [tex]\frac{dP}{dV}[/tex] is,

[tex]\frac{-\frac{1}{50}- \frac{8}{25\times25} }2\\=-\frac{1}{100}-\frac{1}{625}\\=-0.0164 lb/in^2[/tex]

Part(b):

Given,[tex]PV=800[/tex] then,

[tex]V=\frac{800}{P}[/tex]

Now,[tex]\frac{dV}{dP} =-\frac{800}{P^2}[/tex]

Then the above implies,

[tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]

Learn more:https://brainly.com/question/12817429

Mary has 96 muffins which she needs to box up, 5 of which are blueberry, into dozens. How many boxes dose he need

Answers

Answer:

8

Step-by-step explanation:

Mary needs 8 boxes to put 96 muffins in dozens so 96÷12 gives you 8

how many decimal places would the answer have when you find the product of 43.09281×5.092?​

Answers

Answer:

219.42858852

Step-by-step explanation:

what is the product of (2/5x-3/4y^2) and (2/5x+3/4y^2)?

Answers

Answer:

[tex]\frac{2x}{5}- \frac{3y^{2} }{4}[/tex]

Step-by-step explanation:

(2/5x-3/4y^2) & (2/5x+3/4y^2) is [tex]\frac{2x}{5}- \frac{3y^{2} }{4}\\[/tex]

3x - 15 = 7 - 8x how do you solve this​

Answers

Answer:

X=2

Step-by-step explanation:

3x-15=7-8x

3x+8x=7+15

11x=22

x=[tex]\frac{22}{11}[/tex]

x=2

Answer:

324

Step-by-step explanation:

3x3 = 9

9-15 = -6

8x8=64

7-64=-54

-54 x -6 = 324

Adding/Subtracting Rational Expressions ​

Answers

9514 1404 393

Answer:

  (4x^2 +21x +18)/(3x^2 +34x -24)

Step-by-step explanation:

I find it helpful to keep in mind the form ...

  a/b + c/d = (ad +bc)/(bd)

When we apply that to this case, we get ...

  [tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]

The graph of y = -3x + 4 is:

Answers

Answer:

(0,4)

Step-by-step explanation:

Rick invest $5,830 into a retirement saving account. The account compounds at 3.2% monthly for. How much money will Rick have in 4 years? Show work. Use comma and dollar signs in the final answer.

Answers

Answer:

$746.24

Step-by-step explanation:

3.2/100 = 0.032

5,830 X 4 = 23,320

23,320 X 0.032 = 746.24

A gardener has 27 pansies and 36 daisies. He planted an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row? I need the answer quick

Answers

Answer:

There will be 3 rows of pansies

Step-by-step explanation:

2. Find the distance between (-2,1) and (3,4).

Answers

Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
,
(

2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=

(
x
2

x
1
)
2
+
(
y
2

y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.

(
(

2
)

3
)
2
+
(
1

4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...

34
34
The result can be shown in multiple forms.
Exact Form:

34
34
Decimal Form:
5.83095189
1,3 would be the difference for the question

Please help!!!! I'll give you 15 points!!​

Answers

Step-by-step explanation:

the answer is C

2/5(2x+3)

I hope it helps

Solve.

2x + 4 3
B) x < 3
B) x 1/3
D) x < 1/3

Answers

Answer:

c

Step-by-step explanation:

A farmer wanted to distribute 36 mangoes in paper bags, how many ways he can contribute the mangoes equally in paper bags?? Solve this using Factoring, Finding multiples and Divisibility Rules.

Answers

Answer:

36 = 2 x 2 x 3 x 3

Step-by-step explanation:

Given:

Number of mangoes = 36

Computation:

Factor of 36

36 = 2 x 2 x 3 x 3

Number of packing = 2 and number of mangoes in each = 18

Number of packing = 4 and number of mangoes in each = 9

Number of packing = 12 and number of mangoes in each = 3

Number of packing = 6 and number of mangoes in each = 6

Number of packing = 36 and number of mangoes in each = 1

I need help with 35-38 please!!!

Answers

Answer:

-3

Step-by-step explanation:

I WILL GIVE EXTRA POINTS!!! HELPPPPP PLEASE!!!! SHOW ALL WORK!!!

Answers

Answer: 2x+52=2(x+26)

3x-35=-105

Step-by-step explanation:

Is Triangle B a rotation of Triangle A?

Explain How u know

Answers

Answer:

No, triangle B is a reflection of triangle A.

Step-by-step explanation:

The points of triangle A are reflected across the dotted line. So as a result triangle B is a reflection of triangle A.

Answer:

No

Step-by-step explanation:

Its a reflection because even if you did rotate it it would never be in that orientation.

Let p = log10 x, q = log10 y, and r = log10 z. (The 10s are base numbers.)
Write the expression log10 (x / y^2 √z) in terms of p, q, and r.

Please show work! I have the answer ( p- (2q + 1/2 r) ), but I need to show my work.

Answers

Answer:

(p / q^2 √r)

Just make x, y, z into p, q, r.

Very simple!

3. f(x) = x2 + 4x - 2

Answers

Answer:

f(x)= -(x-2)^2+2

Step-by-step explanation:

the same valuve needs the be added to both sides

f(x)+?= -x^2+4x+?-2

to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression

f(x)+?= -x^2+4x-4-2

since -4 was added to the right side, also add -4 the the left side

f(x)-4= -x^2+4x+?-2

now factor out the negative sign from the expression

f(x)-4= -(x^2-4x+4)-2

using a^2-ab+b^2=(a-b)^2

f(x)-4= -(x-2)^2-2

move the constant the the right side and change its sign

f(x)= -(x-2)^2-2+4

now calculate the sum

f(x)= -(x-2)^2+2

Astronomers treat the number of stars X in a given volume of space as Poisson random variable. The density of stars in the Milky Way Galaxy in the vicinity of our solar system is one star per 16 cubic light-years, on average. NOTE: Light-years is a distance measure. 7. What is the probability of exactly two stars in 16 cubic light-years? 8. What is the probability of three or more stars in 16 cubic light-years? 9. How many stars would be expected in 4 cubic light years? 10. How many stars would be expected in t cubic light years? 11. How many cubic light-years of space must be studied so that the probability of one or more stars exceeds 0.95? HINT: let `t' represent the unknown region of space, then nd the `t' that gives you the relevant probability.

Answers

Answer:

Explained below.

Step-by-step explanation:

The random variable X is defined as the number of stars in a given volume of space.

[tex]X\sim \text{Poisson}\ (\lambda=1)[/tex]

The probability mass function of X is:

[tex]p_{X}(x)=\frac{e^{-\lambda}\lambda^{x}}{x!}[/tex]

(7)

Compute the probability of exactly two stars in 16 cubic light-years as follows:

[tex]P(X=2)=\frac{e^{-1}\times 1^{2}}{2!}=\frac{e^{-1}}{2}=\frac{0.36788}{2}=0.18394\approx 0.184[/tex]

(8)

Compute the probability of three or more stars in 16 cubic light-years as follows:

[tex]P(X\geq 3)=1-P(X<3)\\\\=1-P(X=0)-P(X=1)-P(X=2)\\\\=1-\sum\limits^{2}_{x=0}[\frac{e^{-1}\times 1^{x}}{x!}]\\\\=1-0.36788-0.36788-0.18394\\\\=0.0803[/tex]

(9)

In 16 cubic light years there is only 1 star.

Then in 1 cubic light years there will be, (1/16) stars.

Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.

(10)

In 16 cubic light years there is only 1 star.

Then in 1 cubic light years there will be, (1/16) stars.

Then in t cubic light years there will be, [t × (1/16)] stars.

g(x) = 30x + 5

h(x) = 10x – 15

Find h(–3) + g(–5)

Answers

Answer:

The answer is: -190

Step-by-step explanation:

First, you need to input the -3 into the h(x) equation as follows:

h(-3) = 10(-3) - 15, then solve.

h(-3) = -30 - 15

h(-3) = -45.

Then you do the same for g(-5).

So, g(-5) = 30(-5) + 5

g(-5) = -150 + 5

g(-5) = -145.

Now you add the -45 and -145.

h(-3) + g(-5) = -45 - 145

h(-3) + g(-5) = -190.

I can't find the answer

Answers

Answer: what grade is this

Step-by-step explanation:

7.5 more than the quotient of h and 3 is w

Answers

Answer: h/3 + 7.5 = w

The answer is 7.5 + h/3=w

Reese wants to organize a party and decides to save money for it.He calculates that he needs $420 in 9 weeks.He already has $60

Answers

Start by creating an equation. You’ll need a variable to represent what is earned per week, for example x.

So,
420=60+9x
(Since he already has 60)
Subtract the 60 from 420 to begin isolating the variable
This gives you
360=9x
Divide both sides by 9 to completely isolate the variable
This gives you
40=x
So, he needs to save up $40 each week
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