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olga nikolaevna [1]
3 years ago
12

Solve. 5 < x – 2 < 11

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
The answer is 7 < x < 13.

5 < x - 2 < 11
Add 2 in all sections:
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
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Axis of symmetry of y=x^2+6x+7
Ipatiy [6.2K]

x^2 + 6x + 7 = (x + 3)^2 - 2

So the axis of symmetry is x = -3

4 0
3 years ago
Solve the system and give your answer as a coordinate point in the form (k, c) k+c=100 51k+11c=2500
Aleks [24]

Answer:

k = 35, c = 65

Step-by-step explanation:

Solve the following system:

{c + k = 100 | (equation 1)

{11 c + 51 k = 2500 | (equation 2)

Swap equation 1 with equation 2:

{11 c + 51 k = 2500 | (equation 1)

{c + k = 100 | (equation 2)

Subtract 1/11 × (equation 1) from equation 2:

{11 c + 51 k = 2500 | (equation 1)

{0 c - (40 k)/11 = -1400/11 | (equation 2)

Multiply equation 2 by -11/40:

{11 c + 51 k = 2500 | (equation 1)

{0 c+k = 35 | (equation 2)

Subtract 51 × (equation 2) from equation 1:

{11 c+0 k = 715 | (equation 1)

{0 c+k = 35 | (equation 2)

Divide equation 1 by 11:

{c+0 k = 65 | (equation 1)

{0 c+k = 35 | (equation 2)

Collect results:

Answer: {c = 65 , k = 35

5 0
3 years ago
Pls help me this is URGENT I will give brainleiest!!!
sladkih [1.3K]

Answer:

A. 8 units

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The sum of two consecutive even integers is 106. what are the integers
jolli1 [7]
Let the consecutive even integers be x and (x+2).

x + (x + 2) = 106

2x + 2 = 106

2x = 104

x = 52

Thus the two integers are 52 and 54.




7 0
2 years ago
You plant a tree that is 36 inches tall. After one year, the tree is 4343 inches tall. Which expression describes the percent of
Lera25 [3.4K]
Let x represent the percent of increase in the tree's height and let n represent the number of years.

x= n (36/4343)

Hope this helps!
3 0
3 years ago
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