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Setler [38]
3 years ago
9

Prove that the value of the expression does not depend on the variable x:

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

(a)

(x-5)(x+8)-(x+4)(x-1)=\\=x^2-5x+8x-40-x^2-4x+x+4=-36

Indeed, does not depend on x!

And (b)

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

Again, does not depend on x.

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Ivanshal [37]

Answer:

the outlier is the point at 15

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Step-by-step explanation:

3 0
3 years ago
Rod and Reel, Inc. manufactures and sells fishing rods. The company uses the equation P = 25r – 12,500 to estimate its profit P
stiks02 [169]
P=25r-12500
p=125000 and r=?

125000=25r-12500
+12500       +12500
25r= 137500
r=137500/25
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Therefore the answer is B) 5,500

3 0
3 years ago
Dentify the radius and the center of a circle whose equation is (x – 5)² + y² = 81. The radius of the circle is ___ units.
hichkok12 [17]

Answer:

9 units

Center is at (5, 0)

Step-by-step explanation:

The radius of the circle is equal to the square root of 81

\sqrt{81} = ±9

Since the radius of a circle must be positive the answer is 9 units.

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7 0
2 years ago
What is the surface area of a pyramid with a base of 16 and a height of 20
Lemur [1.5K]

Answer: 256 feet

Step-by-step explanation:

Base Surface Area =  162

=  256 feet2

Lateral Surface Area =  

2×16× √

( 16 )2 + 202

2

=  689.30109531322 feet2

Total Surface Area = 945.30109531322 feet2

8 0
3 years ago
Jake has h hats. Paul has 3 scarves and n hats. Dillon has 3 times the total number of winter accessories Jake and Paul have. Wr
olga55 [171]

Answer:

(h+3+n)3=D dillion has d amout of winter acsessors

Step-by-step explanation:

7 0
2 years ago
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