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mart [117]
3 years ago
12

(9x+2)(4x^2+35x-9)=0

Mathematics
2 answers:
pychu [463]3 years ago
4 0
(9x+2)*(4x^2+35x-9)=0

we can make this...

9x+2=0

and

4x^2+35x-9=0

then...

9x+2=0

\boxed{x=-\frac{2}{9}}


4x^2+35x-9=0

x=\frac{-b\pm\sqrt{b^2-4*a*c}}{2*a}

x=\frac{-35\pm\sqrt{35^2-4*4*(-9)}}{2*4}

x=\frac{-35\pm\sqrt{1369}}{8}

x=\frac{-35\pm37}{8}

x_1=\frac{-35+37}{8}=\frac{1}{4}

x_2=\frac{-35-37}{8}=-9

\boxed{\boxed{S=\{\frac{1}{4},-\frac{2}{9},-9\}}}

I'm sure about my answer, don't matter the order...
11111nata11111 [884]3 years ago
3 0
(9x+2)(4x^2+35x-9)=0\\\\
9x+2=0\\
9x=-2\\
x=-\frac29\\
\\
4x^2+35x-9=0\\
\Delta=1225+144=1369\ \ \sqrt{\Delta}=37\\
x_1=\frac{-35-37}{2 \cdot 4}=-9\\
\\
x_2=\frac{-35+37}{2\cdot 4}=\frac14\\
\\
x\in\{-9,-\frac29,\frac14\}
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Answer: the increase each year is 423 tv sets

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 10 years

a = 1000

S10 = 29035

We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be

29035 = 10/2[2 × 1000 + (10 - 1)d]

29035 = 5[2000 + 9d]

29035/5 = [2000 + 9d]

9d = 5807 - 2000 = 3807

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3 years ago
What is the 7th term in the sequence of square numbers?
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Answer:

49.

Step-by-step explanation:

To solve, you can simply list the square numbers in order...

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Hope this helps!

5 0
3 years ago
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The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger ca
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11  ;

Step-by-step explanation:

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30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31

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3 years ago
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A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find
zysi [14]

Answer:

( t - p ) /  85x =  h

( t - 265.95 ) /  85x  = h

648.45 - 265.95 / 85x = 3.32h

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Step-by-step explanation:

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Finding equation to find hours can be shown as

( t - p ) /  85x =  3.32

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