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iren [92.7K]
3 years ago
14

What is (x+3)(2x-4) in the form of ax²+bx+c?

Mathematics
2 answers:
fenix001 [56]3 years ago
5 0

FOIL

first = x*2x = 2x^2

outer = x*-4 = -4x

inner = 3 * 2x = 6x

last = 3 * (-4) = -12

add together

2x^2 -4x+6x-12

2x^2 +2x-12

Ratling [72]3 years ago
4 0

Answer:

2x^2+2x-12

Step-by-step explanation: If you like my answer be sure to give me a good rating!


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What is the area of this regular pentagon that has been divided into five congruent triangles?
Len [333]

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

7 0
3 years ago
Arnie's car used 100 cups of gasoline during a drive. He paid $3.12per gallon for gas how much did the gas cost
Alla [95]
Okay so in a gallon there are 16 cups, in this case 100 cups is equivalent to 6.25 gallons. 6.25 times 3.12= 19.5 

Therefore $19.5 is how much the gas cost!
4 0
3 years ago
Read 2 more answers
The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?
Paladinen [302]
Just plug in the values for m

so the possible values for k are
when m=5
2k=5+3 \\ k=4
when m=7
2k=7+3 \\ 
k=5
when m=9
2k=9+3 \\ k=6
so the possible values for k are {4,5,6}
4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Graph g(x) = 3x^2 - 12x - 3
Paul [167]

Answer: Vertex = (2, -15)  2nd point = (0, -3)

<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

      = \dfrac{4}{2}

         = 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

       = 12  - 24 - 3

       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

       = 0  - 0 - 3

       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE


5 0
3 years ago
A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai
MaRussiya [10]

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

5 0
2 years ago
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