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Sindrei [870]
3 years ago
10

MATH HELPPPPPPPPPPPPPPP

Mathematics
1 answer:
Oliga [24]3 years ago
7 0
This is a piecewise function & the turning point is (-4,2)
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What is the solution 8x-3(2x-4)=3(x-6)
yanalaym [24]

Answer:

x = 30

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

8x - 3(2x - 4) = 3(x - 6)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   8x - 6x + 12 = 3x - 18
  2. Combine like terms:                   2x + 12 = 3x - 18
  3. Subtract 2x on both sides:        12 = x - 18
  4. Add 18 to both sides:                 30 = x
  5. Rewrite:                                       x = 30

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)
  2. Multiply:                        240 - 3(60 - 4) = 3(30 - 6)
  3. Subtract:                       240 - 3(56) = 3(24)
  4. Multiply:                        240 - 168 = 72
  5. Subtract:                       72 = 72
5 0
3 years ago
Read 2 more answers
Find the slope intercept form of the line whose slope is 2 and that passes through the point (-7,10)
Licemer1 [7]

Answer:

y = 2x + 24

Step-by-step explanation:

10 = 2( - 7) + b

10 =  - 14 + b

b = 24

y = 2x + 24

6 0
2 years ago
The plans for a house are drawn at scale of 1/4 inch to 1 foot. If the bedroom is 10 feet wide, what is its width on the plan?
viva [34]

Answer:

2.5 inches

Step-by-step explanation:

(1/4) x 10 = 2.5

or .25 x 10 = 2.5

5 0
3 years ago
What is the ratio of 3/20
Sveta_85 [38]
The ratio of 3/20 is 3:20
5 0
3 years ago
CD has the endpoints C(3, 2) and D(–5, –2). Charlie wants to place the point E at the point that partitions this line segment in
Ganezh [65]
So ... notice the picture below... the ratio is 3:1 from C to D, meaning the segment CE takes 3 units, whilst the ED segment takes 1

anyhow

\bf \textit{internal division of a line segment}&#10;\\ \quad \\\\&#10;C(3,2)\qquad D(-5,-2)\qquad&#10;ratio1=3\qquad ratio2=1\qquad 3:1&#10;\\\\\\&#10;\cfrac{C\underline{ E }}{\underline{ E }D}=\cfrac{ratio1}{ratio2}\implies &#10;ratio2\cdot C=ratio1\cdot D&#10;\\\\\\&#10;1(3,2)=3(-5,-2)&#10;\\ \quad \\\\&#10;{{ E=\left(\cfrac{\textit{sum of "x" values}}{ratio1+ratio2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{ratio1+ratio2}\right)}}

\bf \qquad thus&#10;\\\\\\&#10;E=\left(\cfrac{(1\cdot 3)+(3\cdot -5)}{3+1}\quad ,\quad \cfrac{(1\cdot 2)+(3\cdot -2)}{3+1}\right)

6 0
3 years ago
Read 2 more answers
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