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maw [93]
3 years ago
12

Expand and simplify 3(x+3) - 2(x+2)

Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Step-by-step explanation:

3(x+3) - 2(x+2) =

3x + 9 - 2x - 4 =

x + 5

always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :

++ = +

+- = -

-+ = -

-- = +

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GH is tangent to both circle A and circle E. Determine the length of HE.
nevsk [136]

Answer:

3 unit is the correct answer

6 0
3 years ago
Two times the sum of a number and 9 is half the number
Pavel [41]

Answer:

Equation:

2(a+9) = a/2

Solve:

The umber is:

-12

Step-by-step explanation:

Equation:

2(a+9) = a/2

Solve:

2*a + 2*9 = a/2

2a + 18 = a/2

2a - a/2 = -18

4a/2 - a/2 = -18

3a/2 = -18

a = -18*2/3

a = -12

Check:

2(-12+9) = -12/2

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4 0
3 years ago
A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data
Reil [10]
The quadratic model is given by:
 y = ax2 + bx + c
 We evaluate three points to find the values of a, b and c.
 We have then:
 For (0, 200):
 200 = a (0) 2 + b (0) + c
 c = 200
 For (0.5, 195):
 195 = a * (0.5) ^ 2 + b * (0.5) +200
 195-200 = a * (0.5) ^ 2 + b * (0.5)
 -5 = 0.25a + 0.5b
 For (1, 185):
 185 = a * (1) ^ 2 + b * (1) +200
 185-200 = a * (1) ^ 2 + b * (1)
 -15 = a + b
 Solving the system:
 -5 = 0.25a + 0.5b
 -15 = a + b
 We have the following results:
 a = -10
 b = -5
 Substituting:
 y = -10x ^ 2 - 5x + 200
 For x = 3 we have:
 y = -10 (3) ^ 2 - 5 (3) + 200
 y = - 90 - 15 + 200
 y = 95
 Answer:
 
the height at 3 seconds is:
 
y = 95 feet
3 0
3 years ago
Chloe wants to give her apartment a more elegant look, so she decides to make drapes for her 6 windows. She plans to make 2 drap
dexar [7]

Answer:

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Step-by-step explanation:

1008 inches converts to 84 yards

4 0
3 years ago
Which equation represents the inverse
STatiana [176]

I'd say A, since there, all the operations are the opposite from the original function.

Hope it helped,

BioTeacher101

4 0
3 years ago
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