Find Each Product Simplify
( x ^ 2 + 9 ) ( x + 3 ) ( x - 3)HELP ME PLEASE!

Answers

Answer 1
Answer: (x^2+9)(x+3)(x-3)=(x^2+9)(x^2-9)=x^4-81
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2. The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35. (a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.

Answers

( a )   The system of equations:
2 r + b = 8.40
3 r + b = 9.35
( b ) Graph is in the attachment.
( c )  Each item costs:
 b = $6.50,  r = $0.95
We can prove it:  2 * 0.95 + 6.50 = 8.40
3* 0.95 + 6.50 = 9.35

Answer: 1 drink refill is $0.95 and the egg breakfast is $6.50

2 r + b = 8.40

3 r + b = 9.35

$9.35-$8.40 =$0.95 then take .95x2 to get 1.90 and 8.40-1.90 to get the egg breakfast or $6.50

D (t)=16t□2+96t+112 where t represents time in seconds

Answers

a.
the starting point is where t=0
d(0)=-16(0)^2+96(0)+112
D(0)=112
started from 112 feet


b. max height is vertex
for
y=ax^2+bx+c
the x value of the vertex is -b/2a

so
D(t)=-16t^2+96t+112
t value of vertex is -96/(2*-16)=3
it reaches after 3 seconds

C. simpliy evaluate D(t) for t=3
D(3)=-16(3)^2+96(3)+112
D(3)=-16(9)+288+112
D(3)=-144+400
D(3)=256
max height is 256ft

2log3(x) = 4
what is the solution?

Answers

Answer:

x = 2/log(3) is the solution

Which is a solution to (x − 2)(x + 10) = 13?x = 3

x = 8

x = 10

x = 11

Answers

The solution to the given algebraic expression (x - 2)(x + 10) = 13 is x = 3

What is an algebraic equation?

An algebraic equation is the combination of variables and their coefficients(usually numbers) with arithmetic operations. The main purpose of an algebraic expression is to determine the value(s) of the variable(s).

From the given information:

(x - 2)(x + 10) = 13

x² + 10x - 2x - 20 = 13

x² + 8x -20 -13

x² + 8x - 33 = 0 (quadratic equation)

Using the quadratic formula, the values of x are - 11 and 3. Since we are considering only the positive integer only, x = 3

Learn more about algebraic equations here:

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Answer: X=3

Step-by-step explanation:

1. expand the equation

x^2 + 10x -2x -20 = 13

2. Collect like terms

x^2 + 8x - 20 = 13

3. Simplify

x^2 + 8x = 13 + 20

x^2 + 8x = 33

x^2 = 33 - 8x

4. Substitute answers for guess and check

3^2 = 33 - (8 x 3)

9 = 33 - 24

This equation is correct therefore x = 3

5 with a exponent of 5

Answers

Answer:

3125

Step-by-step explanation:

5^5

= 5*5*5*5*5

= 25*5*5*5

=125*5*5

=625*5

=3125

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Answer:

5^5=3125

Step-by-step explanation:

5^5\n\n=5*5*5*5*5\n\n=25*25*5\n\n=25*125\n\n=3125

Simplify for 2 points cosx + cos(180º -x)

Answers

cos x+ cos(180-x)
=cos x + (cos 180)(cosx) +sin(180)(sinx))
=cos x+{-1(cos x)+0(sinx)
Note cos 180^(o)=-1 sin 180^(o)
= cos x-cos x
=0