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2 years ago

Identify the solutions to the quadratic equation 6x^2+x-1=0

Mathematics

1 answer:

tigry1 [53]2 years ago

5 0

Answer:

1/3 and -1/2

Step-by-step explanation:

You can use the factoring method to identify the solutions of x

6x^2+x-1

2 numbers have to multiply to 6 and subtract to 1 because x is the same as 1x

So, you get 3x and 2x

since you know that -1x1 is -1 you will get

(3x-1)(2x+1)=0

Now, since (3x-1) and (2x+1) multiply to get 0, if either (3x-1) or (2x+1) is 0 the statement will be valid

3(1/3)-1=0

2(-1/2)+1=0

So, your answers are 1/3 and -1/2

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What does it mean when a variable equals R Like b=R

levacccp [35]

Answer:

Step-by-step explanation:

R=r

7 0

4 years ago

In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on firs

Gnesinka [82]

Answer:

AC = 127,26 f distance from home plate to second base

Step-by-step explanation:

Let call A , B , C Home plate, first base and second base respectively

These three point form a right triangle with legs ( AB = BC = 90 feet)

we have an isosceles triangle with a right angle and two angles of 45⁰

So we need to compute distance AC (hypotenuse)

AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2

AC = 90 * 1,414

AC = 127,26 f

6 0

4 years ago

Identify the values of the variables. Give your answers in the simplest radical form.

Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

$sin(60) = \frac{9}{k}$

Multiply both sides by k

$k*sin(60) = 9$

Divide both sides by sin(60)

$k = \frac{9}{sin(60)}$

$k = \frac{9}{\frac{\sqrt{3}}{2}}$

$k = 9*\frac{2}{\sqrt{3}}$

$k = \frac{18}{\sqrt{3}}$

Rationalize

$k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{18\sqrt{3}}{3}$

$k = 6\sqrt{3}$

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

$tan(60) = \frac{9}{f}$

Multiply both sides by f

$f*tan(60) = 9$

Divide both sides by tan(60)

$f = \frac{9}{tan(60)}$

$k = \frac{9}{\sqrt{3}}$

Rationalize

$k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{9\sqrt{3}}{3}$

$k = 3\sqrt{3}$

8 0

3 years ago

You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o

diamong [38]

Answer:
14 cases

Explanation:
First, we will need to find the number of cases needed per day:
We know that one case includes 150 bars and that the daily consumption is 300 bars. To know the number of cases needed daily, we will use cross multiplication as follows:
1 case .............> 150 bars
?? cases .........> 300 bars
number of cases needed daily = $\frac{300*1}{150}$ 
number of cases needed daily = 2 cases

Then, we will get the number of cases needed weekly (7 days):
We know that 2 cases are needed daily. To know the number of cases needed weekly (7 days), we will simply use cross multiplication as follows:
1 day .............> 2 cases
7 days ...........> ?? cases
number of cases needed weekly = $\frac{7*2}{1}$ 
number of cases needed weekly = 14 cases

Hope this helps :)

5 0

3 years ago

Asha and Jamal are selling plants to raise money for their soccer team. They started out with 45 plants. They sold some plants a

sukhopar [10]

ANSWER

C. Both equations will find the correct solution.

EXPLANATION

It was given in the question that, Asha and Jamal started with 45 plants.

We were told that, they sold some plants and now they have 21 plants left.

Let
$p$
represent the number of plants sold.

Then when we add the number of plants sold and the number left, we should get 45.

This implies that,

$21 + p = 45$

This is Jamal's equation.

On the other hand, if we subtract the number of plants sold from the total number of plants, we should get 21. Thus,

$45 - p = 21$

This is Asha's equation.

The two equations are therefore equivalent.

They will give the same solution.

The correct answer is C.

3 0

4 years ago

Read 2 more answers