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

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~

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)

Answer:

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

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]

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

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

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Answer:

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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

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

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]

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.

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

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.

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."

Answer:

can you please send me another one

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]

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:

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]

f(5) = -50

Hope it helps you...

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/

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:

Answer:

C: x > 4

none of the others

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

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

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:

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

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.

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

Answer:

25.987957

Step-by-step explanation: