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arsen [322]
3 years ago
6

Solve the inequality. -4x + 15 < -21

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

x>9

Step-by-step explanation:

-4x + 15 < -21

Subtract 15 from each side

-4x + 15-15 < -21-15

-4x < -36

Divide each side by -4, remembering to flip the inequality

-4x/-4> -36/-4

x >9

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Select ALL the correct answers.
stiv31 [10]

Answer:

Statements 3, 4 and 5 are true.

Step-by-step explanation:

x^2 - 8x + 4

Using the quadratic formula:

x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2

= (8 +/- √(64 - 16)) / 2

= 4 +/- √48 / 2

= 4 +/- 4√3/2

= 4 +/- 2√3.

So the third statement is true.

Converting to vertex form:

x^2 - 8x + 4

= (x - 4)^2 - 16 + 4

= (x - 4)^2 -12

So the extreme value is at (4, -12)

So the fourth statement is true.

The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.

4 0
3 years ago
6. Find the sum or difference.<br> 146<br> 155<br> a. +<br> 8<br> 8
Ipatiy [6.2K]
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5 0
3 years ago
Find the 50th term of the sequence 5, -2, -9, -16
VARVARA [1.3K]

Answer:

-35

Step-by-step explanation:

it is going backwards by -7 so 5x-7 = -35

6 0
3 years ago
How do you work out <br> 5x71
Gwar [14]

Answer:

355

Step-by-step explanation:

8 0
3 years ago
Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5).
gtnhenbr [62]

Answer:

-36 • (22u + 1)

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -74u - 5  =   -1 • (74u + 5)

Equation at the end of step  2  :

 (6 • (58u + 1)) -  -6 • (74u + 5)

Step  3  :

Equation at the end of step  3  :

 6 • (58u + 1) -  -6 • (74u + 5)

Step  4  :

Pulling out like terms :

4.1      Pull out     6

Note that  -6 =(-1)• 6

After pulling out, we are left with :

     6 • ( (-1)  *  (58u+1) +( (-1)  *  (74u+5) ))

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  -132u - 6  =   -6 • (22u + 1)

Final result :

 -36 • (22u + 1)

6 0
4 years ago
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