H<br> SSS<br> SAS<br> ASA<br> AAS<br> HL<br> cannot determine

20x^2-30=4x solve for x

ankoles [38]

Answer:

x=1.3288 or -1.1288

Step-by-step explanation:

Given $20x^{2}-30=4x$

Subtract 4x from both sides

$20x^{2}-4x-30=0$

Since we can factor out 2 from whole equation, let's factor out 2.

$2(10x^{2}-2x-15)=0$

Divide with 2 on both sides

$10x^{2}-2x-15=0$

We got the quadratic equation, we can solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}$

$x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}$

$x=\frac{2\pm\sqrt{604} }{20}$

$x=\frac{2\pm2\sqrt{151}}{20}$

$x=1.3288or-1.1288$

8 0

3 years ago

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Select the correct answer. The volume of one of the Great Lakes is 3. 5 × 103 cubic kilometers. If there are 6. 3 × 107 fish in

valentinak56 [21]

The average number of fish per cubic kilometer is $1. 8 \times 10^4$ .

The correct option is B.

Given

The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers.

The number of fish in the lake = 6. 3 × 107.

<h3>What is the average value?</h3>

The average is the middle value of the given data set and is calculated by adding up all the numbers and dividing the result by the total quantity of figures added.

The average number of fish per cubic kilometer is given by;

$\rm \text{The average number of fish per cubic kilometer}= \dfrac{Number \ of \ fish \ in \ lake}{Total \ volume \ of \ lake}$

Substitute all the values in the formula;

$\rm \text{The average number of fish per cubic kilometer}= \dfrac{Number \ of \ fish \ in \ lake}{Total \ volume \ of \ lake}\\\\ \text{The average number of fish per cubic kilometer}= \dfrac{6.3\times 10^7}{3.5\times 10^3}\\ \text{The average number of fish per cubic kilometer}= 1.8 \times 10^4$

Hence, the average number of fish per cubic kilometer is $1. 8 \times 10^4$ .

To know more about the Average rate click the link given below.

brainly.com/question/12395856

5 0

3 years ago

Which polynomial, when added to the polynomial 5x^2–3x–9, is equivalent to x^2–5x+6?

Anna71 [15]

Answer:

$-4\cdot{x^2}-2\cdot{x}+15$

Step-by-step explanation:

We can look at the terms one by one. We know that to get 5 to 1 we must add -4 so the first term is:

$-4\cdot{x^2}$

For the x term to go from -3 to -5 we must add -2, so the second term is

$-2\cdot{x}$

Lastly, to go from -9 to 6 we must add 15. The final polynomial added is:

$-4\cdot{x^2}-2\cdot{x}+15$

4 0

3 years ago

Explain why the slope of a horizontal line is always zero

Monica [59]

The slope of a line is always zero because the line does not move up or down on the y-axis.

5 0

3 years ago

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( CORRECT ANSWER GETS BRAINLIEST AND FULL RATINGS !! )

pochemuha

With 2 die, there are 2 ways to roll a sum of 3......1 and 2, 2 and 1
with 2 die, there are 5 ways to roll a sum of 8...2 and 6, 6 and 2, 3 and 5, 5 and 3, 4 and 4.

total of possible outcomes = (6 * 6) = 36

the probability of this happening is : 7/36

7 0

4 years ago

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H SSS SAS ASA AAS HL cannot determine