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3 years ago

10

Simplify the rational expression. State any excluded values.

1 answer:

ANEK [815]3 years ago

7 0

So on the top, you split it up using the difference of squares rule.
You get (x - 6)(x + 6) on the top.

On the bottom, you can undistribute (pull out) -7x.
This gives you -7x(x-6) on the bottom.

Now you can cancel like terms in the numerator and denominator.
You can cancel the (x-6).
You can also move the negative sign from the 7x to the (x + 6)

This leaves you with -(x + 6) over 7x, or (6 - x) over 7x.

To find excluded values, all you need to know is that you can't divide by zero under any circumstances, and you can't have a zero on the top in a rational expression.
The only values for x that would make either of these statements true are if x = 0 (7 × 0 = 0 on the bottom), or if x = 6 (6 - 6 +0 on the top)

So the answer is (6 - x) over 7x, x ≠ 0, 6

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Drag the phrases into the box to match each expression. 3/4x+1/2 3/4−1/2x 3/4−(x+1/2) 20 pointss!!! i know i must be cra

fomenos

Answer:

$\frac{3}{4}x + \frac{1}{2}$ = One-half more than three-fourths of a number

$\frac{3}{4}-\frac{1}{2}x$ = Three-fourths minus one-half of a number

$\frac{3}{4}-(x+\frac{1}{2})$ = three-fourths minus the sum of a number and one-half

Step-by-step explanation:

Suppose x be an unknown number.

∵ 3/4th of a number = $\frac{3}{4}x$

$\frac{3}{4}x + \frac{1}{2}$ = One-half more than three-fourths of a number

Now, half of a number = $\frac{1}{2}x$

$\frac{3}{4}-\frac{1}{2}x$ = Three-fourths minus one-half of a number

Sum of a number and one-half = $x+\frac{1}{2}$

$\frac{3}{4}-(x+\frac{1}{2})$ = three-fourths minus the sum of a number and one-half

6 0

2 years ago

For all values of x, f(x)=2x^2 and g(x)= x+1<br> Solve fg(x) = gf(x)

Andrej [43]

Answer:

-0.25

Step-by-step explanation:

→ Find fg(x)

2 ( x + 1 )² = 2x² + 4x + 2

→ Find gf(x)

2x² + 1

→ Equate them

2x² + 1 = 2x² + 4x+ 2

→ Move everything to the right hand side

0 = 4x + 1

→ Solve

x = -0.25

4 0

1 year ago

Read 2 more answers

A pole that is 3.4 m tall casts a shadow that is 1.54 m long. At the same time, a nearby building casts a shadow that is 35.75 m

inna [77]

Answer:

The building would be 78.92 meters tall.

Step-by-step explanation:

If the shodow of a 3.4m tall pole is 1.54m tall, and you have the shadow's height, then you make a cross, multiply-divide ratio table.

5 0

2 years ago

A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be

ioda

Answer: The answer is 3573.64

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 19000

r=rate = 11.25%=0.1125

Exponential Decay:

b=1-r=1-0.1125=0.8875

Write Exponential Function:

y=19000(0.8875)^x

Plug in time for x:

y=19000(0.8875)^14

y= 3573.6388855

Evaluate :

y≈3573.64

5 0

3 years ago

Do this for me pls its mdths

Vadim26 [7]

Answer:

A = -1

B = -3

C = -7

Step-by-step explanation:

See attached image.

5 0

1 year ago