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Aloiza [94]
3 years ago
12

Greatest Common Factor

Mathematics
2 answers:
Blababa [14]3 years ago
8 0

Answer:

GCF

1.18

2.18

LCM

1.24

2. 36

arsen [322]3 years ago
8 0

GCF
1. 9
2. 9
LCM
1. 24
2. 36
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(c) The line with equation y = 2x +k is a tangent to curve y = 3x² +4. Find the value of k.​
statuscvo [17]

Answer:

k = 11/3

Step-by-step explanation:

If the line is tangent to the curve, then Δ = 0.

______________

Remembering:

Δ>0 two different points of intersection x' \neqx''

Δ=0 one point of intersection x' = x''

Δ<0 two different points of intersection in the complex plan x' and -x'

______________

As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:

2x + k = 3x² + 4

0 = 3x² - 2x + (4 - k)

Now we can use the Δ=0 (Δ= b² - 4ac)

Δ = 0 = (-2)² - 4.3.(4-k)

0 = 4 - 48 + 12k

12k = 44

k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3

k = 11/3

6 0
2 years ago
Need help with 34,35,36,37
nirvana33 [79]
34. x - 3 = 8x + 4
      -3 - 4 = 8x - x
      -7 = 7x
      -7/7 = x
      -1 = x

y = x - 3
y = -1 - 3
y = -4

solution is (-1,-4)
===================
35. -6 = -x - 2y
      x = -2y + 6

2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y

2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2

solution is (-2,4)
==================
36. 4x + 6y = 2000
       x + y = 410
==================
37. 4x + 6y = 2000
       x + y = 410......multiply by -6
----------------------
4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
 

3 0
2 years ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.25 before the discount, and
soldi70 [24.7K]

Answer:

$82.16

Step-by-step explanation:

78.25 * .20 = 15.65 as a tip,

78.25 *.15 = 11.74 as the discount, subtract from initial value:

78.25 - 11.74 = 66.51

then add the tip: 15.65 + 66.51 = $82.16

8 0
2 years ago
Expand the expression. Fill in the blanks and don't use spaces in your answer.<br><br> 4(x - 3)
trapecia [35]

Answer:

4x-12

Step-by-step explanation:

use distributive property and distribute the 4 through

5 0
2 years ago
Read 2 more answers
2x2x2x2x2x2x2x2x2x2=?
kakasveta [241]
The answer is 1024.
5 0
3 years ago
Read 2 more answers
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