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kvasek [131]
2 years ago
12

x + 24" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
6 0

Answer:

Factorized

      =(2x-8)(x-3)

Roots : 4 , 3

Step-by-step explanation:

If it is to factorize :

2x^2 - 14x + 24 = 2x^2 -6x-8x +24

                     =2x(x-3)-8(x-3)\\=(2x-8)(x-3)

If it is to solve for x :

2x^2 -1 4x + 24 = 0\\(2x-8)(x-3)=0\\2x - 8 = 0 \ , \ x - 3 = 0\\2x = 8 \ , \ x = 3\\x = 4 , 3

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Write an equation in a point-slope form that passes through the given point with the given slope (3, 5), m = -4 and-1, 8), m = ½
4vir4ik [10]

Answer:

\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)

m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)

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3 years ago
Only the Fahrenheit one plz
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3 years ago
(3x+2)∧2=9 how do i solve this in the square root property
Irina18 [472]
(3x+2)^2=9 \\\\9x^2+12x+4-9=0\\\\9x^2+12x-5=0\\\\a=9,\ \ b=12, \ \ c=-5

x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}
 

6 0
3 years ago
Five hundred teenagers were sampled at random about their favorite movie genre. The results are listed in the table below. Out o
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Answer:

924 teenagers

Step-by-step explanation:

154 / 500 ×3000

= 924

Since 154 teenagers out of 500 prefer action movies, you'll just divide them by their total number 500 multiplied by the other total number 3000 to get the others who prefer action movies.

trying the others too

sci- fi

116 / 500 × 3000

= 696

romance

109 / 500 × 3000

= 654

comedy

78 / 500 × 3000

= 468

drama

43 / 500 × 3000

= 258

putting all of them together should give u ur total number

924 + 696+ 654 + 468 +258

= 3000

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