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3 years ago

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

Step-by-step explanation:

quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b²-4ac)]/2a

6 = x² – 10x ; x² - 10x -6 =0

(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1) and x" = [10-√(10²+4(1)(-6)]/2(1)

x' =5+√31 and x' = 5-√31

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Solve the expression below, when x = 8 <br> (x - 4) + 12

LenaWriter [7]

Answer:

Step-by-step explanation:

Lets solve this step by step,

First we insert 8 in x's place:

(8 - 4) + 12

Now we solve:

8 - 4 = 4

(4) + 12

4 + 12 = 16

Answer: 16

Hope this Helps

3 0

2 years ago

there tiger barbs in a 15 gallon aquarium and giant dani is in a 30 gallon aquarium.what numerical expression to represent the g

Eva8 [605]

The numerical expression that represents the total number is parentheses 15 divided by 3 plus parentheses 30 divided by 5

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3 years ago

In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volum

GaryK [48]

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

$\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%$

The percentage of a blood alcohol level is 0.100%

The total volume of the blood is V=5L=5000 ml.

Substitute the value in the formula,

$0.100=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}\times 100$

$\frac{0.100}{100}=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}$

$\text{Vol}_{\text{Alcohol}}=\frac{0.100\times 5000}{100}$

$\text{Vol}_{\text{Alcohol}}=5$

Therefore, the required volume is 5 ml.

8 0

3 years ago

if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never

elena55 [62]

Answer:

Always

Step-by-step explanation:

The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.

Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.

8 0

3 years ago

In a recent survey, two-thirds of the 234 students in a freshman class said they watch television shows on their computer. Deter

stellarik [79]

We know that 2/3 of all students watch TV shows on their computers.
And 234 students were in that survey.
2 / 3 * 234 = 156
Answer: 156 students watch shows on their computer.

3 0

3 years ago

Read 2 more answers