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3 years ago

If a=5x^2+3x-7 and b=-3x^2-7x+5 find b-a

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

Answer:

-8x^2-10x+12

Step-by-step explanation:

first set up the problem:

(-3x^2-7x+5)-(5x^2+3x-7)

Since you are subtracting you need to distribute the (-) sign:

(-3x^2‐7x+5)(-5x^2-3x+7)

Now just combine like terms

-3x^2+(-5x^2= -8x^2

(-7x+(-3x= -10x

5+7= 12

set answer in standard form:

-8x^2-10x+12

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I need help solving x+y=4 2x+y=6

levacccp [35]

X+y=4
2x+y=6
make first equation negative
-x-y=-4
add to first equation
2x-x+y-y=6-4
x=2

subsitute
x+y=4
2+y=4
y=2

or
x+y=4
subtract x from both sdies
y=4-x
subsitute 4-x for y in second equation
2x+4-x=6
x+4=6
x=2

5 0

4 years ago

The diameter of a tennis ball is 6.44 cm. Find the volume. Use 3.14 for pi

sergeinik [125]

Answer:

The volume is 140 cm3. See the explanation below, please

Step-by-step explanation:

We use the formula:

Volume (V) = 4/3 pi r ^3

V= 4/3x 3, 14x (6,44/2)^3 = 139,8 cm3= 140 cm3

7 0

3 years ago

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The train travels 558 miles in 3 hours. At this rate, how far does the train travel?

tresset_1 [31]

Answer:

186 mph

Step-by-step explanation:

Miles per hour means miles divided by hour(s), so 558/3 is 186 miles per hour.

5 0

3 years ago

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1 Type the correct answer in the box. Use numerals instead of words. Consider this expression. x4 – y2 When x = 3 and Y = -6 the

photoshop1234 [79]

Step-by-step explanation:

Hey there!

Given expression is;

$= {x}^{4} - {y}^{2}$

The values of x and y is 3 and -6 respectively.

Put their values.

$= {3}^{4} - {( - 6)}^{2}$

= 81 - 36

= 45 is answer.

Hope it helps..

6 0

3 years ago

F(x) = x2 + 1 f(f(x))

Ludmilka [50]

<h3>Answer: f( f(x) ) = x^4 + 2x^2 + 2</h3>

=============================================

Work Shown:

f(x) = x^2 + 1

f(x) = ( x )^2 + 1

f( f(x) ) = ( f(x) )^2 + 1 .. replace every x with f(x)

f( f(x) ) = ( x^2+1 )^2 + 1 .. plug in f(x) = x^2+1

f( f(x) ) = ( x^2+1 )( x^2+1 )+1

f( f(x) ) = y( x^2+1 )+1 .... let y = f(x) = x^2+1

f( f(x) ) = y*x^2+y+1 ... distribute

f( f(x) ) = x^2*( y ) + ( y ) + 1

f( f(x) ) = x^2*( x^2+1 ) + (x^2+1) + 1 .... plug in y = x^2+1

f( f(x) ) = x^4 + x^2 + x^2 + 1 + 1

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

--------------------------------------

Side note: $f(f(x)) = (f \circ f)(x)$ , the small circle indicates function composition. It's similar to $f(g(x)) = (f \circ g)(x)$

8 0

3 years ago

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