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bogdanovich [222]
2 years ago
15

Solve the inequality. |3x+7| <_ 4

Mathematics
2 answers:
weqwewe [10]2 years ago
8 0

Step-by-step explanation:

it can be written as. -4<_(3x+7)<_4

= -11 <_(3x) <_ (-3)

= (-11/3) <_ X <_ (-1)

n200080 [17]2 years ago
3 0

Answer:

Using ∣x∣>a⇒x<−a or x>a, we get

∣3x−7∣>4⇒3x−7<−4 or 3x−7>4

⇒3x<3 or 3x>11⇒x<1 or x>

3

11

⇒x∈(−∞,1)∪(

3

11

,∞).

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lapo4ka [179]
D is the answer you want
5 0
3 years ago
John is trying to drain a swimming pool. He has two pumps, but he can only use one at a time. He knows that the time a pump take
xeze [42]
What do you mean this sentence?
the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
The meaning would be : if we have a power in watts greater the time to drag the pool will be less because the relation between power and time is inverse.  

40 watts--------------5 hours) 
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because the relation between power and time is inverse, we multiply directly.
40 watts(5 hours)=100 watts x
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8 0
3 years ago
PLease help <br> The segments shown below could form a triangle True or false ?
grigory [225]

Answer:

true

Step-by-step explanation:

for a right triangle no

3 0
3 years ago
Please help me *30 points* (please don't comment unless its answer :
Irina-Kira [14]

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Or 1.578 times 10^-1230

6 0
3 years ago
What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4
aev [14]

Answer:

\large\boxed{y=3x-11}

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\y=3x-4\to m_1=3\\\\\text{Therefore}\ m_2=3.\\\\\text{We have the equation:}\ y=3x+b.\\\\\text{Put the coorsdinates of the point (2, -5) to the equation of the line}\\\\-5=3(2)+b\\-5=6+b\qquad\text{subtract 6 from both sides}\\-11=b\to b=-11

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3 years ago
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