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3 years ago

NEED HELP ASAP PLEASE

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

In running 0.6 miles, you have gone from 300 remaining to 255 remaining, so have burned ...

300 -255 = 45 . . . . . calories

The rate in calories per mile is ...

(45 cal)/(0.6 mi) = 75 cal/mi

At the rate of the first 0.6 miles, you will burn 75 calories running 1 mile.

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b

Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : $\dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b$

To find, The value of a and b

Solution,

Solving LHS of the given equation,

$\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b$

Since,

$(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2$

So,

$\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b$

$4+0=a+\sqrt 3 b$

On comparing we get :

a = 4 and b = 0

4 0

3 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

7 0

3 years ago

Calcula la distancia que debe recorrer un teleférico, sabiendo que debe salir de la estación de servicio y llegar a la cima de l

GalinKa [24]

Can you put this in English so I can help you please

5 0

3 years ago

Read 2 more answers

A group of children share 11 3/7 vegetarian pizzas. Each child receives 10/14 of a pizza. How many children are in the group

7nadin3 [17]

8 children because
11 3/7 is equal to 83/14
If each child receives 10/14
83/10
= 8.3
There can't be .3 of a child so round it and you get 8!
Hope this helps!

5 0

3 years ago

Zolol [24]

The value of this expression when =-2 and x=-1 is: 3.

<h3>Value of the expression</h3>

Given equation:

-2 and x=-1

Solving the value of the given equation

-2 and x=-1

Hence:

=-(-1)+2

=1+2

Therefore the value of this expression when =-2 and x=-1 is: 3.

Learn more about Value of the expression here:

brainly.com/question/912391

brainly.com/question/625174

#SPJ1

6 0

2 years ago