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LuckyWell [14K]
3 years ago
10

Factorising quadratics X squared + 5x -6 X squared - 2x15 X squared -7x +12

Mathematics
1 answer:
34kurt3 years ago
5 0

Answer:

  • (x -1)(x +6)
  • (x -5)(x +3)
  • (x -4)(x -3)

Step-by-step explanation:

In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.

1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.

  x^2 +5x -6 = (x -1)(x +6)

__

2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest

  x^2 -2x -15 = (x -5)(x +3)

__

3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest

  x^2 -7x +12 = (x -3)(x -4)

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7 0
3 years ago
What is the slope of the line through (-3, 3) and (-1, -1)?
Vladimir79 [104]

Answer:

The slope is -2

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (-1 -3)/(-1 - -3)

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3 0
2 years ago
A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 15 in. long. How many cubic inches of packing foam a
Doss [256]

Answer:

The volume of foam needed to fill the box is approximately 2926.1 cubic inches.

Step-by-step explanation:

To calculate the amount of foaming that is needed to fill the rest of the box we first need to calculate the volume of the box and the volume of the ball. Since the box is cubic it's volume is given by the formula below, while the formula for the basketball, a sphere, is also shown.

Vcube = a³

Vsphere = (4*pi*r³)/3

Where a is the side of the box and r is the radius of the box. The radius is half of the diameter. Applying the data from the problem to the expressions, we have:

Vcube = 15³ = 3375 cubic inches

Vsphere = (4*pi*(9.5/2)³)/3 = 448.921

The volume of foam there is needed to complete the box is the subtraction between the two volumes above:

Vfoam = Vcube - Vsphere = 3375 - 448.921 = 2926.079 cubic inches

The volume of foam needed to fill the box is approximately 2926.1 cubic inches.

4 0
3 years ago
Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run
Monica [59]

The number of kilometers she will have left to run to finish the race is 0.9 km.

<u>Given the following data:</u>

  • Total distance = 13.5 km
  • Speed = 8\frac{2}{5} \;km/hr
  • Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}

Distance = 12.6 meters.

<u>For the </u><u>distance left</u><u>:</u>

Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6

Distance left = 0.9 km.

Learn more about distance here: brainly.com/question/10545161

7 0
2 years ago
Here are some more thats it for noww
solniwko [45]

Answer:

when u read this and wish I had a bf. :(

5 0
2 years ago
Read 2 more answers
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