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Elena-2011 [213]
3 years ago
13

THINKING

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

k = 2

Step-by-step explanation:

Given the equations:

g(x) = 3x² + 8x + k

f(x) = 2x - 1

At the intersection point:

g(x) = f(x)

3x² + 8x + k = 2x - 1

3x² + 6x + (k+1) = 0

If there is only one intersection point, the discriminant must be equal to zero:

b² - 4(a)(c) = 0

6² - 4(3)(k+1) = 0

36 - 12(k+1) = 0

36 - 12k - 12 = 0

24 = 12k

24/12 = k

2 = k

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I also need help with this one too
MaRussiya [10]

Answer:

5x-1

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x+1

(f+g) (x) = 3x-2 + 2x+1

Combine like terms

            = 5x -1

8 0
3 years ago
Read 2 more answers
You are packing a boxed gift in a larger shipping box. The dimensions of the shipping box are all 1.3 times the dimensions of th
GrogVix [38]

Answer:

2394 cubic centimeters

Step-by-step explanation:

If all of the dimensions of the shipping box are 1.3 times that of the gift, then the volume of the box is 1.3^3=2.197 times that of the gift. Dividing this by the volume of the box, you get a volume of 2000 cubic centimeters for the volume of the gift. Subtracting this from the volume of the box, you get 2394 cubic centimeters of unused space. Hope this helps!

5 0
3 years ago
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What number is 16% of 64, to the nearest tenth
Fed [463]

Answer: 10.2

Step-by-step explanation: 64 x 0.16 = 10.24

6 0
3 years ago
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Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B35%20%5Ctimes%2035%7D%20" id="TexFormul
iren [92.7K]

Answer:

35

Step-by-step explanation:

35 times 35 = 1225

square root it

√1225

and get

35

4 0
3 years ago
Urgent please ans this​
Rama09 [41]

Answer:

x=6

Step-by-step explanation:

Remember, the formula for area is the length times the width. So, if we know the width is 3, and we know the total area is 24, all we need to do is divide 24 by 3 to get 8. 8 is the split up side, the one that is x + 2. To find x, simply subtract 2 from 8. 8 - 2=6.

24/3=8

8-2=6

3 0
4 years ago
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