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DENIUS [597]
2 years ago
12

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

Mathematics
1 answer:
777dan777 [17]2 years 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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1.50+.25x=3.75
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a homeowner wants to carpet two rooms that each measure 12 ft by 15 ft. how many square yards of carpet should be ordered
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3 feet = 1 yard

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Joshua is doing a chemistry experiment that calls for a 30% solution of copper sulfate. He has 40ml of 25% solution. How many mi
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Answer:

6 2/3 mL

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If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
Nezavi [6.7K]
I think the points given here are plotted linearly: 

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You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a
vagabundo [1.1K]

Answer:

The piece-wise function is;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

3 0
2 years ago
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