The equation 8(y-3)= -40 is solved in several steps below. For each step, choose the reason that best justifies it.

Addition property of Equality
Subtraction Property of Equality
Multiplication property of equality
Division property of equality
simplifying
distributive property

The Equation 8(y-3)= -40 Is Solved In Several Steps Below. For Each Step, Choose The Reason That Best

Answers

Answer 1

Answer:

Step-by-step explanation:

The Equation 8(y-3)= -40 Is Solved In Several Steps Below. For Each Step, Choose The Reason That Best
Answer 2

The steps and their reasons for the equation 8(y - 3) = - 40 are given below.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8(y - 3) = - 40

            Steps                                               Reason

       8(y - 3) = - 40                                          Given

       8y - 24 = - 40                                Distributive property

8y - 24 + 24 = - 24 + 24                 Addition Property of Equality

               8y = - 16                                      Simplifying

          8y / 8 = - 16/8                       Division property of equality

                  y = - 2                                       Simplifying

More about the solution of the equation link is given below.

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Related Questions

Thời gian vận chuyển hàng hóa trên tuyến đường AB là biến ngẫu nhiên X có phân phối
chuẩn với trung bình u= 5 giờ, độ lệch chuẩn o= 0, 25 giờ.
a. Chuyến có thời gian lớn hơn (5,2+(28+2)/100) giờ được xem là trễ, tính tỉ lệ chuyến trễ?

Answers

Answer:

Thời gian vận chuyển hàng hóa trên tuyến đường AB là biến ngẫu nhiên X có phân phối

chuẩn với trung bình   5 giờ, độ lệch chuẩn   0, 25 giờ.

a. Chuyến có thời gian lớn hơn 5,2 ( ) /100   a b  giờ được xem là trễ, tính tỉ lệ chuyến trễ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(X>5.5)= 0.5-phi((5.5-5)/0.25)

=0.5- phi(2)

= 0.5-0.4773= 0.0227

1. Find the equation of each of the straight line graphs that passes through the given
points.
(i) (1, 7) (2, 10)
(ii) (3, -1) (-2, 9)
(iii) (4, 3) (8,4)
(iv) (2, -5) (-2, 7
(v) (-1, -8) (3, 12)
(vi) (-5, 1) (10, –5)

(viii) (2, 2) (0, -4)

Answers

Answer:

25.987957

Step-by-step explanation:

Expand the following: 4(a + 3b - 5c).
Please help, I'm really struggling with expanding equations

Answers

Answer:

4a+12b-20c

Step-by-step explanation:

Use the distributive property, multiply the number on the outside to everythign on the inside.

4*a=4a

4*3b=12b

-5c*4=-20c

Answer;

Explanation:

4(a + 3b - 5c)
= (4 x a) + (4 x 3b) - (4 x 5c)
= 4a + 12b - 20c

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire is to be 14 feet longer than the height of the pole, what is the height of the pole?

Answers

9514 1404 393

Answer:

  105 ft

Step-by-step explanation:

Let x represent the height of the pole. Then (x -49) is the distance from the pole to the anchor point, and (x+14) is the length of the wire from the top of the pole to the anchor point.

The Pythagorean theorem gives us the relation ...

  (x +14)² = x² +(x -49)²

  x² +28x +196 = x² +x² -98x +2401 . . . . eliminate parentheses

  x² -126x +2205 = 0 . . . . . . . . put in standard form

  x² -126x +3969 -1764 = 0 . . . . "complete the square)

  (x -63) = ±√1764 . . . . . . add 1764, take the square root

  x = 63 +42 = 105 . . . . . . highest value root. The pole must be higher than 49 feet

The height of the pole is 105 feet.

I’m in summer school can y’all plz help me

Answers

Answer:  Choice A.   [tex]-x^2+2x+8[/tex]

Work Shown:

[tex](f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = (2x+1) - (x^2-7)\\\\(f - g)(x) = 2x+1 - x^2+7\\\\(f - g)(x) = -x^2+2x+(1+7)\\\\(f - g)(x) = -x^2+2x+8\\\\[/tex]

which shows the answer is choice A.

Side note: be sure to distribute the negative to every term inside the second set of parenthesis. So you wouldn't say -(x^2-7) = -x^2-7. If you did this error, then you'd get to the wrong answer choice C.

Answer:

hope it helps u plz mark me brainliest mate

Step-by-step explanation:

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

(f-g)(x)= -x^2+2x+8

this is the correct answer

Estimate the rate at which the total personal income is rising in a metropolitan area. In 1999, the population of this area was 918,000, and the population was increasing at roughly 9700 people per year. The average annual income was $34,549 per capita, and this average was increasing at about $1300 per year (a little above the national average of about $1225 yearly).

Required:
Use the Product Rule to estimate the rate at which total personal income was rising in the area in 1999.

Answers

Answer:

[tex]X=\$1.64*10^9[/tex]

Step-by-step explanation:

From the question we are told that:

Population size [tex]P=918000[/tex]

Rate of Population increase  [tex]\frac{dP}{dt}=9700[/tex]

Average annual income [tex]I= \$34,549[/tex]

Rate of annual income increase  [tex]\frac{dI}{dt}=\$1300[/tex]

Generally the equation for Total Income is mathematically given by

[tex]X=P \frac{dI}{dt}+I \frac{dP}{dt}[/tex]

[tex]X=918000*1400+(9200*30593)[/tex]

[tex]X=\$1.64*10^9[/tex]

Consider the following data representing the price of refrigerators (in dollars).14051405, 11211121, 13391339, 10961096, 12991299, 14011401, 11381138, 11491149, 12231223, 10711071, 13991399, 14001400, 12421242, 13181318, 11011101, 10651065, 14281428, 12251225, 13501350, 13581358, 13121312Copy DataPrice of Refrigerators (in Dollars)Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency1049–1118 1119–1188 1189–1258 1259–1328 1329–1398 1399–1468 Step 2 of 7 : Determine the frequency of the fifth class.

Answers

Answer:

3

Step-by-step explanation:

Given the data:

1405, 1121, 1339, 1096, 1299, 1401, 1138, 1149, 1223, 1071, 1399, 1400, 1242, 1318, 1101, 1065, 1428, 1225, 1350, 1358, 1312

Using the intervals:

Class interval ___ Frequency

1049–1118 ________ 4

1119–1188 ________ 3

1189–1258 ________3

1259–1328 _______ 3

1329–1398 _______ 3

1399–1468 _______ 5

From the table ; the fifth class is the interval :

1329 - 1398 and it has a frequency of 3

Find a solution to the initial value problem,
y″+12x=0, y(0)=2,y′(0)=−1.

Answers

Answer:

y = -2*x^3 - x + 2

Step-by-step explanation:

We want to solve the differential equation:

y'' + 12*x = 0

such that:

y(0) = 2

y'(0) = -1

We can rewrite our equation to:

y'' = -12x

if we integrate at both sides, we get:

[tex]\int {y''} \, dx = y'= \int {-12x} \, dx[/tex]

Solving that integral we can find the value of y', so we will get:

y' = -12* (1/2)*x^2 + C = -6*x^2 + C

where C is the constant of integration.

Evaluating y' in x = 0 we get:

y'(0) = -6*0^2 + C = C

and for the initial value problem, we know that:

y'(0) = -1

then:

y'(0) = -1 = C

C = -1

So we have the equation:

y' = -6*x^2 - 1

Now we can integrate again, to get:

y = -6*(1/3)*x^3 - 1*x + K

y =  -2*x^3 - x + K

Where K is the constant of integration.

Evaluating or function in x = 0 we get:

y(0) = -2*0^3 - 0 + K

y(0) = K

And by the initial value, we know that: y(0) = 2

Then:

y(0) = 2 = K

K = 2

The function is:

y = -2*x^3 - x + 2

Two vectors m and n are defined by 3i+4j and n=2i-j. find the angle between m and n​

Answers

Answer:

[tex]{ \tt{m.n = |m| |n| \cos( \theta) }} \\ { \tt{ (3 \times 2) + (4 \times - 1) = (5)( \sqrt{5}) \cos( \theta) }} \\ { \tt{ \cos( \theta) = \frac{0.4}{ \sqrt{5} } }} \\ \theta = 79.7 \degree[/tex]

A company produces optical-fiber cable with a mean of 0.6 flaws per 100 feet. What is the probability that there will be exactly 4 flaws in 1000 feet of cable

Answers

Answer:

[tex]P(X = 4) =0.133[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\x=0.6/100[/tex]

Flaws [tex]f=4[/tex]

Distance  [tex]d_2=1000ft[/tex]

Generally the equation for Poisson mean lambda over 1000 is mathematically given by

[tex]\lambda=0.6*1000/100[/tex]  

[tex]\lambda = 6[/tex]

Therefore

[tex]P(X = 4) = {e^-\lambda * \lambda^{\=x}} {{\=x}!}[/tex]

[tex]P(X = 4) =\frac{ e^{-6} * 6^4}{ 4!}[/tex]

[tex]P(X = 4) =0.133[/tex]

The functions f and g are defined as follows.
f(x) =-2x+4
g(x) = 3x° +5
Find f(7) and g(-2).
Simplify your answers as much as possible.

Answers

Step-by-step explanation:

Substitute x=7in function f

Substitute x= - 2 in function g

f(7)= - 2(7)+4

= -10

g(-2)= 3(-3)+5

= - 4

Brainliest please~

Water is leaking out of an inverted conical tank at a rate of13400cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height8meters and the diameter at the top is6meters. If the water level is rising at a rate of24centimeters per minute when the height of the water is5meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answers

9514 1404 393

Answer:

  2,664,118.8 cm³/min

Step-by-step explanation:

The diameter at the water level of 5 m is (5/8)(6 m) = 3.75 m, so the area of the water surface is ...

  A = (π/4)d² = (π/4)(3.75 m)² ≈ 11.044662 m²

When rising at the rate of 24 cm/min, the volume is increasing at the rate ...

  (110,446.62 cm²)(24 cm/min = 2,650718.8 cm³/min

The input volume must be sufficient to accommodate this increase as well as the leakage. Then the input volume is ...

  2,650718.8 cm³/min + 13,400 cm³/min = 2,664,118.8 cm³/min

Hey im new and im trying to get the answers for the last 2 questions if you knows the answer please help me thanks.

Answers

Answer:

x=0 and up

Step-by-step explanation:

Answer:

x =0 is the axis of symmetry

The parabola goes up so the parabola opens up

Step-by-step explanation:

The axis of symmetry is the based on the vertex

x =0 is the axis of symmetry

The parabola goes up so the parabola opens up

Can someone plz solve this for me

Answers

Answer: [tex]y^\frac{1}{8}[/tex]

Step-by-step explanation:

Ok so when taking roots the number in the little corner at the left of the radical sign (if there is one) is the root you take. It could be the 4th root, 6th root, or the x root. You don't have to use the radical sign though, you can use an exponent to write it. All you have to do is take the reciprocal of the number to find what to write for the exponent. So for those examples it would be [tex]\frac{1}{4}, \frac{1}{6} ,\frac{1}{x}[/tex]. The number in the top left of the radical sign is 8 so the answer would be [tex]y^\frac{1}{8}[/tex]

What is the length of Line segment A C? Round to the nearest tenth.

Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.

10.5 m
12.3 m
18.3 m
21.4 m

Answers

Answer:

10.5

Step-by-step explanation:

In the picture if you think about it, it has to be a number less than 15 since CB is 15. I picked 12.3 and got it wrong therefore it has to be 10.5.

Answer:

A) 10.5

Step-by-step explanation:

when it is transformed to
What is the effect on the graph of f (2)
g(x) = 1 +112
A. The graph of f(x) is shifted 11 units to the left.
B. The graph of f(x) is shifted 11 units to the right.
C. The graph of f(x) is shifted 11 units up.
D. The graph of f(x) is shifted 11 units down.

Answers

Answer:

C. The graph of f(x) is shifted 11 units up.

Step-by-step explanation:

Given

[tex]g(x) = f(x) + 11[/tex]

Required

Interpret g(x)

When a function is shifted up in b units, the rule is:

[tex](x,y) \to (x,y+b)[/tex]

Replace b with 11

[tex](x,y) \to (x,y+11)[/tex]

Replace y with f(x)

[tex](x,f(x)) \to (x,f(x)+11)[/tex]

So, we have:

[tex]g(x) = f(x) + 11[/tex]

Hence; f(x) is shifted 11 units up.

Find the volume of the figure. Round to the nearest tenth if necessary.

Answers

Answer:

Volume = 204 m³

Step-by-step explanation:

The figure is a triangular prism

Volume of the triangular prism = ½ × a × c × h

Where,

a = 8 m

c = 5.1 m

h = 10 m

Plug in the known values and solve

Volume = ½ × 8 × 5.1 × 10

Volume = 4 × 5.1 × 10

Volume = 204 m³

Ayúdenme con esta multiplicación de polinomio por favor

(2×+3y)(-4ײy-2×y²)

Answers

Answer: welcome to brainly

Step-by-step explanation:

Hello there! My name is agenthammerx, a Master Answerer and Engagement Team Member here on Brainly. I am here to welcome you to the site! Thank you for taking initiative to check out Brainly and for posting your first question! The Brainly Community welcomes you. If you have any questions regarding anything about the site, please don’t hesitate to reach out to me! I will try my best to help you and answer your question or check out our help center at https://faq.brainly.com/

Which expression is equivalent to this polynomial? 9x^2 + 4


A. (3x+2i)(3x-2i)

B. (3x+2)(3x-2)

C. (3x+2i)^2

D. (3x+2)^2

Answers

The answer is A (3x+2i)(3x-2i)

Given the function f(x) = 7x^2 − 2x + 5. Calculate the following values:

Answers

F(3)=16 i saw this problem before so it should be the answer in the end

We have that the Fuction's result for the given values are

f(-2) =37f(-1) =14f(0) =5 f(1) =10f(2) =29

From the Question we are told that

Function

[tex]f(x) = 7x^2 -2x + 5.[/tex]

Generally

For -2

[tex]f(-2) = 7(-2)^2 − 2(-2) + 5.[/tex]

f(-2) =37

For -1

[tex]f(-1) = 7(-1)^2 − 2(-1) + 5.[/tex]

f(-1) =14

For 0

[tex]f(0) = 7(0)^2 − 2(0) + 5.[/tex]

f(0) =5

For 0

[tex]f(1) = 7(1)^2 − 2(1) + 5.[/tex]

f(1) =10

For 2

[tex]f(2) = 7(2)^2 − 2(2) + 5.[/tex]

f(2) =29

For more information on this visit

https://brainly.com/question/18301109?referrer=searchResults

factor the polynomial

-x5+36x3-22x2-147x-90

Answers

Answer:

-(x+6)(x+1)^2(x-3)(x-5)

Step-by-step explanation:

I’m having trouble finding the answers to this problem

Answers

Step-by-step explanation:

Solve by Subsitution

[tex]x = 50 - y[/tex]

Replace this into the second equation

[tex]y(50 - y) = 300[/tex]

[tex]50y - {y}^{2} = 300[/tex]

Write in standard form

[tex] - {y}^{2} + 50y = 300[/tex]

Use the quadratic formula, and our answer will be

(6.97,43.02)

(43.02,6.97)

What is the cardinal number of the set {-1,3,7,52,36,19,-6}

Answers

Answer:

can you please send me another one

f(x)=-2x^2+x-5 find f(5)

Answers

f(5) = -50

Hope it helps you...

Can someone help please

Answers

9514 1404 393

Answer:

  (b)  f(x) = (-x)^(1/2)

Step-by-step explanation:

The square root is only defined for argument values that are non-negative. Hence the domain of ...

  f(x) = (-x)^(1/2)

is all values of x less than or equal to zero. This is not "all values of x."

According to this map of railroads in 1890, what part of country were most
railways concentrated?

Answers

Answer:

In 1890, America's railroad linked mainly through the north and south rarely in the west if at all.

Solve the quadratic inequality
(x - 2)(x – 4) > 0

A) 2 B) x<2
C)x>4
D) x<2 or x>4

Answers

Answer:

C: x > 4

none of the others

A child that drops a rock off a building that is 64 feet tall. If the equation for height as a function of time is h(t)=-16t2+ initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the rock to hit the ground?

Answers

Answer:

Step-by-step explanation:

The equation for free fall (as opposed to parabolic motion which would occur if the child threw the rock up into the air and it followed a parabolic path. This equation would have an upwards velocity value in it. Dropping something does not have an upwards velocity value because we are not throwing it up into the air and letting gravity take over. VERY important distinction when working with these problems!):

[tex]h(t)=-16t^2+64[/tex] and we need to know how long it will take for the rock to be ON THE GROUND. The height of anything on the ground after it falls is 0, so we sub a 0 in for h(t), since h(t) is the height of the rock at a certain time in its falling. That time is what we are solving for: the time it takes for the rock to have a height of 0.

[tex]0=-16t^2+64[/tex] and

[tex]-64=-16t^2[/tex] and

[tex]4=t^2[/tex] so

t = -2 and 2. BUT since we know that time will never be negative, then the time it takes the rock to hit the ground is

t = 2 seconds.

Find the intersection of the line and the circle given below
2x+y=-5
x^2+y^2=10

Answers

Answer:

There are two intersections.

(-3,1) and (-1,-3)

Step-by-step explanation:

Answer:

They intersect at (-3,1), and also (-1,-3)

Step-by-step explanation:

Graph:

Assuming n1=n2, p1=.4, p2=.7, sampling error=.0 and confidence interval of 99%, estimate (p1-p2)?

Answers

Answer:

Step-by-step explanation:

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