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Jlenok [28]
3 years ago
7

Solve the inequality 2x2 + 10x < –8

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

-4<x<-1

Step-by-step explanation:

To solve the problem, we divide the whole expression by 2:

2x^2 + 10x < –8 → x^2 + 5x < –4

→  x^2 + 5x + 4 < 0

Factorizing

→ (x+4)(x+1) < 0

The expression is ONLY negative when:

x>-4 and x<-1

Therefore, the solution is:

-4<x<-1

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PLZ HELP ME <br> I appreciate any help, especially if you can show me how you got the answer
Arte-miy333 [17]

Answer:

C

Step-by-step explanation:

Since this is an indererminate form, use L'Hopital

d(sint)/dt = cos(t)

d[ln(2e^t) - 1] = (2e^t)/[2e^t - 1]

As t --> 0,

cos(0) = 1

(2e^t)/[2e^t - 1] = 2

1/2 is the limit

5 0
3 years ago
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Dmitriy789 [7]

Answer:

21

Step-by-step explanation:

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4 0
2 years ago
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densk [106]
The amount of water that is needed to fill the pool is equal to the volume of the pool.

The pool is rectangular, with uniform depth so the volume of pool will be the product of its length , width and depth.

Thus,

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This means, 2700 ft³ water is needed to fill the pool.
8 0
3 years ago
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X² - 2x=0<br> what is this...like what’s the outcome
Tanzania [10]

Answer:

x=0  x=2

Step-by-step explanation:

X² - 2x=0

Factor

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Using the zero product property

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4 0
3 years ago
Please help me!!!!!!!! Factor z2 – 3z – 18
Vladimir [108]
First, the factor pairs for 18 are:
1, 18
2, 9
3, 6

Since the middle term is -3, the two factors must be 3 apart. The only pair that is 3 values apart is 3, 6.
Since the middle value is negative, the larger number is negative. This means that the 6 is negative.
z = -6
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Set each equal to 0;
z = -6
z + 6 = 0

z = 3
z - 3 =0
So your factors are (z+6) and (z-3), or answer B.
4 0
3 years ago
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