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3 years ago

Which of the following expressions is in simplified form?

2 answers:

7 0

The only one that's in simplified form is 4w - 5 since it's the only one out of the four that doesn't have any more like terms.

Marat540 [252]3 years ago

3 0

Hello!

I believe the answer is B. 4w - 5, because B is the most short (or simplified) of all the rest..

Hope this helps! ☺♥

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Hi<br><br> 1-5 already done!!!!!!!!!!

Scilla [17]

Answer:

According to tangents secant segments theorem,

11) x(16+x) = (x + 6)^2

x (16+x) = (x + 6)^2

16x + x^2 = x^2 + 2(6)(x) + 6^2

16x + x^2 = x^2 + 12x + 36

16x - 12x + x^2 - x^2 = 36

4x = 36

x = 36/4

x = 4

13) x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 2x 2(2)(x) + 2^2

x^2 + 5x = x^2 + 4x + 4

x^2 -x^2 + 5x - 4x = 4

x = 4

14) x + 8( x + 8 + 32) = (3x) ^2

x + 8(x + 40) = 9x^2

x(x + 8) + 40(x + 8) = 9x^2

x^2 + 8x + 40x + 320 = 9x^2

x^2 + 48x + 320 =9x^2

48x + 320 = 9x^2 - x^2

48x + 320 = 8x^2

Dividing the whole eq. by 8,

6x = 40 = x^2

0 = x^2 - 6x - 40

0 = x^2 - 10x + 4x - 40

0 = x(x - 10) + 4(x - 10)

x - 10 = 0 OR x + 4 = 0

x = 10 OR x = - 4

length cannot be negative, so,

x = 10

15) (x + 3) ( x + 3 + 15) = (2x) ^2

(x + 3) (x + 18) = 4x^2

x(x + 18) + 3(x + 18) = 4x^2

x^2 + 18x + 3x + 54 = 4x^2

x^2 + 21x + 54 = 4x^2

0 = 4x^2 - x^2 - 21x - 54

0 = 3x^2 - 21x - 54

Dividing the whole eq. by 3,

x^2 - 7x - 18 = 0

x^2 - 9x + 2x - 18 = 0

x(x - 9) + 2 (x - 9)

x + 2 = 0 Or x - 9 = 0

x = -2 or x = 9

length cannot be negative,so,

x = 9

3 0

3 years ago

1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a

ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0

3 years ago

figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x

skad [1K]

Answer: $x=21.75$

Step-by-step explanation:

You need to convert from mixed number to decimal number.

In order to do this, you can follow the steps shown below:

1. You must divide the numerator of the fraction by the denominator of the fraction.

2. Now you must add the quotient obtained to the Whole number part.

Then, you get:

$7\frac{1}{4}=7+0.25=7.25$

Then, the scale image that maps "Figure A" onto "Figure B" is:

$1:7.25$

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by $7.25$ .

Therefore, the result is:

$x=(3)(7.25)\\\\x=21.75$

3 0

3 years ago

F divided by 28 equal 24

BabaBlast [244]

You can translate to:

F ÷ 28 = 24

F/28 = 24 Cross Multiply

F = 28 * 24

F = 672

6 0

3 years ago

Read 2 more answers

Pls help me with this

tamaranim1 [39]

Answer:

Step-by-step explanation:

So you start with 5.7 miles which is the first ride and the long ride is 5 2/3 times longer so you multiply 5.7 by 5 2/3. 5.7 is equivalent to 5 7/10 so you multiply 5 7/10 by 5 2/3. If we get common denominators we will end up with 5 21/30 and 5 20/30 then you multiply. You will get 32.3: 32.3 is equivalent to 32 and 3/10. Then you add that to 5 and 7/10. You will get 38.

Answer: 38

3 0

3 years ago