Ross said that if (x² + a)(x2 + b) = O means that (x2 + a) = 0 or (x2 + b) = 0, then(x+
a)(x2 + b) = 2 means that (x2 + a) = 2 or (x? b) = 2. Do you agree with Ross? Explain
why or why not.

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

Answer:

C. The Function is positive when x<0 and when x>0.

Hope this helps! :)

Answer:

x^-3=1/x^3

This is how we do it.

Answer:

Take the reciprocal. 1/x^3

Step-by-step explanation:

When you take the reciprocal of a number or a variable, the exponent changes sign.

Answer:

a = 4

Step-by-step explanation:

28/ 7 = 4

l7al= 28

7x4 = 28

Absolute Value: the magnitude of a real number without regard to its sign.

plz mark brainliest

Answer:

a=-4

Step-by-step explanation:

-7a=28

7a/7=-28/7

a=-4

Answer:

the answer is no solution

Step-by-step explanation:

if you need to know how i got it just comment on my answer! :)

Answer: No Solution

Step-by-step explanation: Lets say X is 8. -8+8 is 0, and 8-4 is 4. Continue to replace X with multiply different numbers to try and solve the equation, but the solution will always be 4 apart, so no solution.

i edited the answer. hope it helps. if it isn't ryt tell me plz

Answer:

sin2x = [tex]\frac{30}{34}[/tex]

Step-by-step explanation:

Given

tanx = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with legs 3 and 5

Let the hypotenuse be h , then using Pythagoras' identity

h² = 3² + 5² = 9 + 25 = 34 ( take the square root of both sides )

h = [tex]\sqrt{34}[/tex]

Thus

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]

cosx = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{\sqrt{34} }[/tex]

Hence

sin2x = 2sinxcosx = 2 × [tex]\frac{3}{\sqrt{34} }[/tex] × [tex]\frac{5}{\sqrt{34} }[/tex] = [tex]\frac{2(3)(5)}{\sqrt{34}(\sqrt{34}) }[/tex] = [tex]\frac{30}{34}[/tex]

Answer:

1 would be 1320

3 would be 3960

4 would be 5280

Step-by-step explanation:

The cost of 1, 3 and 4 ounces of gold in 2016 was $1,320, $3,960 and $5,280 respectively.

Cost of 2 ounces of gold in 2016 = $2,640

Cost of 1 ounce of gold in 2016 = Cost of 2 ounces of gold in 2016 ÷ 2

= $2,640 ÷ 2

= $1,320

Cost of 3 ounces of gold in 2016 = Cost of 1 ounce of gold in 2016 × 3

= $1,320 × 3

= $3,960

Cost of 4 ounces of gold in 2016 = Cost of 1 ounce of gold in 2016 × 4

= $1320 × 4

= $5,280

Therefore, the cost of 1, 3 and 4 ounces of gold in 2016 are $1,320, $3,960 and $5,280 respectively.

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Answer:

hfbhlbghulbfrhbuf

Step-by-step explanation:

hbbfhhbfhfhlflb frf

Answer:

Additional bags required = 4

Step-by-step explanation:

Marianne buys number of bags of potting soil = 16

Each bag weighs = [tex]\frac{3}{4}[/tex] pounds

Total weight of 16 soil bags = [tex]16\times \frac{3}{4}=12[/tex] pounds

If Marianne's father requires potting soil = 15 pounds

Amount of additional soil he will require = 15 - 12

                                                                   = 3 pounds

Therefore, number of additional soil bags required = [tex]\frac{\text{Weight of soil required}}{\text{Soil in each bag}}[/tex]

                                                                                     = [tex]\frac{3}{\frac{3}{4}}[/tex]

                                                                                     = [tex]3\times \frac{4}{3}[/tex]

                                                                                     = 4 bags

Additional bags required by Marianne= 4

Answer:

(f o g) = -5x+22

Step-by-step explanation:

f o g  basically means f(g(x))

So:

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

f(g(x)) = -5x+20+2

f(g(x)) = -5x+22

Therefore: (f o g) = -5x+22

This is called function composition. Basically, the output of g(x) goes into the input of f(x).

Answer:

its the 3rd option

Step-by-step explanation:

its right

Answer:

x = -1

y = 5

Step-by-step explanation:

When a graph has a line going straight up and down it means the x value of the line is the same it never changes

Example: (-1, 5) (-1, 2) (-1, -3)

When a graph has a line going straight left to right it means the y value never changes

Example: (5, 5) (-10, 5) (8, 5)

Answer:

6 yards

Step-by-step explanation:

The pylon is 6 yards tall.

There are mainly two types of fractions proper fraction and improper fraction.In proper fraction numerator is smaller than the denominator and in improper fraction denominator is smaller than the numerator.

According to the given question

A pylon has some part of it below the ground and some part is above the ground and we have to find the total length of it.

Given [tex]\whole{3}\frac{1}{2}[/tex] yards is below the ground and [tex]\whole2\frac{1}{2}[/tex] yards above the ground.

∴Total length of the pylon is (7/2 + 5/2) yards.

= 12/2 yards.

= 6 yards.

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Answer:

-2.9375

Step-by-step explanation:

2x-14x+47=0

16x+47=0

16x=-47

x=-2.9375

Answer:

x=7+√ 2 or x=7-√ 2

Step-by-step explanation:

x^2-14x+47=0

Completing the square,

x^2-14x+49-2=0

x^2-14x+49=2

x^2-7x-7x+49=2

x(x-7)-7(x-7)=2

(x-7)^2=2

x-7=√ 2 or x-7=-√ 2

x=7+√ 2 or x=7-√ 2

Answer:

Newtons

Step-by-step explanation:

Joules measure electrical power and celcius and Kelvin measures temperature.

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{ \frac{11}{2} }}}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A\: and \: B} [/tex]

[tex] \text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}[/tex]

[tex] \text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]

[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex]↣ \: \sf{slope = \frac{ - 4 - 7}{ - 6 - ( - 4)} }[/tex]

[tex] \underline{ \text{Remember}} : [/tex]

[tex] \sf{↣ \: slope \: = \: \frac{ - 4 - 7}{ - 6 + 4}} [/tex]

[tex] \underline{ \text{Remember}}: [/tex]

[tex] \sf{↣ \: slope = \frac{ - 11}{ - 2} }[/tex]

[tex] \sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }[/tex]

[tex] \sf{↣ \: slope \: = \frac{11}{2} }[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

B = 61°

C = 61°

Step-by-step explanation:

The sum of all the angles is 360.

When the angles are formed with straight lines like shown the angles back to back are equivalent or equal.

So you can take 119 and add it by itself to get 238.

You then get 360 and subtract 238 which gets you 122.

Then divide 122 by two and you have the answer for both b and c which is 61.

Answer:hmm

Step-by-step explanation:

Sample answer:

Step-by-step explanation: (My answer)

1) Subtract 8.5 and 3.5, that equals 12.

[tex]8.5x - 3.5x = -78[/tex]

2) Multiply 78 and 12, that equals 6.5 .

[tex]\frac{12x}{12} = \frac{78}{12}[/tex]

3) Check your answer.

[tex]-8.5 (6.5) -3.5 (6.5) = -78[/tex]

Once you've done that, the answer you should get is 78.

78 is equal to 78, that is your final answer and it is correct.

Answer:

D

Step-by-step explanation:

Wkx2di2jd1nd1do jf2kd2ifj2dkdu2dj2d

Answer:

d

Step-by-step explanation:

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

First we need two points of the table :

I choose a = ( 0 , 3 ) and b = ( 2 , 0 ) .

_________________________________

Step (2)

To find the slope of linear functions using two points, we use the following equation :

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Where a and b are two points of the function.

_________________________________

Step (3)

Now just need to put the coordinates of the points which we chose.

a = ( 0 , 3 ) °•°•°•°•°•°•° b = ( 2 , 0 )

[tex]slope = \frac{0 - 3}{2 - 0} \\ [/tex]

[tex]slope = - \frac{3}{2} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

20 students are girls. (15 are boys)

Step-by-step explanation:

if the ratio is 3:4 and the total students is 35, you can make the following equation:

3x + 4x = 35

7x = 35

x = 5

then, multiply x by 4.

5*4 = 20.

20 students are girls. (15 are boys.)

sorry if this isn't well explained. hopefully I still helped!

[tex]f(x) = y = x - \frac{5}{6} \\ [/tex]

Subtract the sides of the equation plus 5/6

[tex]y + \frac{5}{6} = x \\ [/tex]

So ;

[tex] {f}^{ - 1}(x) = x + \frac{5}{6} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

{(5-8)+5}+10/2-20/5= 3

Step-by-step explanation:

{(5-8)+5}+10/2-20/5

PEMDAS

Parentheses first

5-8 = -3

( -3 + 5 )  + 10/2 - 20/5

-3 + 5 = 2

2 + 10/2 - 20/5

10/2 = 5

2 + 5 - 20/5

2 + 5 = 7

20/5 = 4

7 - 4 = 3

Answer:

x-(x-14)

Distribute negative one by everything in the parentheses

and you will get x=14

Step-by-step explanation:

50 magazines

because ratio is division and 225/5 is 25 and you multiply the 2 by 25 and you get 50

There are 64 magazines in the library.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The ratio of books to magazines in the children's section at the library is 5: 2.

Let number of books = 5x

And, Number of magazines = 2x

Here, There are 225 books in the library.

Hence, We can formulate;

⇒ 5x + 2x = 225

⇒ 7x = 225

⇒ x = 32

Hence, Number of magazines = 2x

                                               = 2 × 32

                                               = 64

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Answer:

The slope

Step-by-step explanation: