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DENIUS [597]
1 year ago
12

What is the completely factored form of 6 x squared minus 13 x minus 5?

Mathematics
1 answer:
777dan777 [17]1 year ago
3 0

Answer:

(2x-5)(3x+1)

Step-by-step explanation:

The given quadratic trinomial is 6x^2-13x-5

Where a=6, b=-13 and c=-5

ac=-30

The factors of -30 that add up to -13 are -15,2

We split the middle term to get:

6x^2+2x-15x-5

Factor by grouping:

2x(3x+1)-5(3x+1)

These completely factors to:

(2x-5)(3x+1)

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If a baker doubles a recipe that calls for 6-2/3 cups of flour. How many cups will be needed in all?
nadya68 [22]
Hey there!

The easiest way I could think to do this is by converting your mixed number to an improper fraction and multiplying the fraction by 2, or 2 over 1. 

6 \frac{2}{3}  = 6*3+2 =  \frac{20}{3}

\frac{20}{3} *  \frac{2}{1}

To multiply fractions, you can just multiply the numerators and denominators and simplify, if applicable. 

\frac{20}{3} * \frac{2}{1} = \frac{40}{3}

Since you can't simplify this fraction in its improper form, just convert it back into a mixed number. 

\frac{40}{3} = 13 \frac{1}{3}

So, your answer will be 13 \frac{1}{3}. 

Hope this helped you out! :-)
4 0
1 year ago
Read 2 more answers
There are two approaches to solving the equation -3x + 10 = 4x - 20 Subtract 4x from both sides. OR Add 3x to both sides. –7x +
Scrat [10]

<u>Answer:</u>

There are two approaches to solving the equation -3x + 10 = 4x - 20. The value of x after solving in both methods is 4.2857.

<u>Solution:</u>

Given, equation is -3x + 10 = 4x – 20.

We have to solve the given equation in two methods, now let us see the first method.

<u><em>1st method ⇒ by subtracting 4x from both sides.</em></u>

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 – 4x = 4x – 20 – 4x ⇒ -3x – 4x = -20 – 10 ⇒ -7x = -30 ⇒ 7x = 30  

Then, x = \frac{30}{7}

Now, let us use the 2nd method.

<em><u>2nd method ⇒ by adding 3x on both sides.</u></em>

Then, -3x + 10 = 4x – 20 ⇒ -3x + 10 + 3x = 4x – 20 + 3x

⇒ 10 + 20 = 4x + 3x

⇒ 7x = 30

⇒ x = \frac{30}{7}

Hence, the value of x after solving in both methods is \frac{30}{7} = 4.2857.

6 0
1 year ago
Read 2 more answers
Perform the following computations. retail price of steel-belted radial tire = $89.50 discount offered = 10% federal tax = 12% l
RUDIKE [14]
For the answer to the question above
Retail price of steel-belted radial tire = $89.50 
Discount offered = 10% = $8.95 
Value before federal tax = $89.50 - $8.95 = $80.55 
Federal tax = 12%=$80.55(0.12) =$9.67 
Local sales tax = 5% =$80.55(0.05)=$4.03 

Selling price = $80.55 +$9.67+$4.03 =$94.25
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
4 0
2 years ago
An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
marusya05 [52]

Answer:

I think the answer is C

Step-by-step explanation:

If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%

3 0
1 year ago
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A library buys 36 English books, 48 Science books and 72 Mathematics books. The thickness of each book is the same. Now, the lib
fomenos

Answer:

13

Step-by-step explanation:

The GCF of 36, 48, and 72 is 12 so there will be 36 / 12 = 3 stacks of English books, 48 / 12 = 4 stacks of science books and 72 / 12 = 6 stacks of math books for a total of 3 + 4 + 6 = 13 stacks.

5 0
2 years ago
Read 2 more answers
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