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dimulka [17.4K]
3 years ago
9

Solve the inequality 3x^2 + 10x - 8 < 0​

Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

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15 4 7 − 11 2 5 4 + 3 7
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1547-11254+37 is simple if that’s the question you need to answer just plug it in a calculator and your answer is
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What is the value of the expression below when z = 2? 4z2 – 3z – 4​
zhenek [66]

Answer:

<h2>6</h2>

Step-by-step explanation:

4z^2 - 3z - 4​\\z =2

Substitute 2 for z in the given equation

4(2)^2 - 3(2) -4\\

Follow the PEMDAS order of operations

\mathrm{Calculate\:exponents}\:\left(2\right)^2\::\quad 4\\=4\cdot \:4-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\times\:4\::\quad 16\\=16-3\left(2\right)-4\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\left(2\right)\::\quad 6\\=16-6-4\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:16-6-4\::\quad 6

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3 years ago
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Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.
mr_godi [17]

Option D

The trip lasts for 6\frac{1}{4}\ hours

<em><u>Solution:</u></em>

<em><u>Mr Patel is planning to drive 325 miles</u></em>

Average speed is 65 mph

He will stop one hour for lunch and take a 15 min rest break

Let us first find the time taken

Time = \frac{distance}{speed}

Time = \frac{325}{65}\\\\Time = 5

Thus he covers 325 miles in 5 hours

Also, given that, he will stop one hour for lunch and take a 15 min rest break

<em><u>Therefore, total time taken for trip is:</u></em>

Total time = 5 hours + 1 hour + 15 minutes

Total time = 6 hours 15 minutes

We know that,

1 hour = 60 minutes

Therefore,

6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours

Thus the trip lasts for 6\frac{1}{4}\ hours

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4 years ago
Judson collected information about the name length and the population of a random sample of 296 American cities. Here are the re
Natasha2012 [34]
It would be 90 - 10
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Really need an answer to this please help.
Alex

Answer:

a

Step-by-step explanation:

\sqrt[4]{144a^{12}b^{3}} = \sqrt[4]{4^{2}*3^{2}a^{12}b^{3}}=\\= \sqrt[4]{2^{4}*3^{2}a^{12}b^{3}}=2a^{3}\sqrt[4]{3^{2}b^{3}} =\\}=2a^{3}\sqrt[4]{9b^{3}}

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