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zhenek [66]
3 years ago
13

Solve the inequality 12(1/2 x - 1/3) > 8 - 2x

Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

D. \\x>\frac{3}{2}

Step-by-step explanation:

12(1/2x - 1/3) > 8 - 2x

6x - 4 > 8 - 2x

6x + 2x - 4 > 8 - 2x + 2x

8x - 4 > 8

8x - 4 + 4 > 8 + 4

8x > 12

8x ÷ 8 > 12 ÷ 8

x  > 1.5

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Find an equation for the line that passes through the points (-5,-3) and (1,-1)
Hatshy [7]

Answer:

y = 1/3x - 4/3

Step-by-step explanation:

slope is change in y over the change in x

-1 +3/ 1+5= 2/6= 1/3

y+1 = 1/3(x-1)

y + 1 = 1/3x - 1/3

y = 1/3x - 4/3

5 0
3 years ago
Rachel's cell phone company charges $0.10 per minute. She used 350 minutes last month and paid $84. writ and solve a linear equa
dimaraw [331]

Answer:

79

Step-by-step explanation:

cuz,
x equals the number of minutes so use the y slope formula

0.10(x)+the intercept = y
0.10(350)+the intercept = 84
35+the intercept = 84
the intercept = 49
so the equation is
0.10(x)+49 = y
or
1/10(x)+49 = y
1/10(300)+49=y
30+49=y
79=y
so the answer is 79 dollars

4 0
2 years ago
Can someone please help me with these 2 questions
soldi70 [24.7K]
Number 8 would be B. Number 9 would be A. Hope this helps! Mark brainliest? :))
3 0
2 years ago
Read 2 more answers
D(x)=(x^2-12x+20)/(3x)
krok68 [10]

Answers:

Vertical asymptote: x = 0

Horizontal asymptote: None

Slant asymptote: (1/3)x - 4

<u>Explanation:</u>

d(x) = \frac{x^{2}-12x+20}{3x}

      = \frac{(x-2)(x - 10)}{3x}

Discontinuities: (terms that cancel out from numerator and denominator):

Nothing cancels so there are NO discontinuities.

Vertical asymptote (denominator cannot equal zero):

3x ≠ 0  

<u>÷3</u>   <u>÷3 </u>

x ≠ 0

So asymptote is to be drawn at x = 0

Horizontal asymptote (evaluate degree of numerator and denominator):

degree of numerator (2) > degree of denominator (1)

so there is NO horizontal asymptote but slant (oblique) must be calculated.

Slant (Oblique) Asymptote (divide numerator by denominator):

  •        <u>(1/3)x - 4    </u>
  •    3x)    x² - 12x + 20
  •             <u>x²        </u>
  •                  -12x
  •                  <u>-12x         </u>
  •                             20 (stop! because there is no "x")

So, slant asymptote is to be drawn at (1/3)x - 4



6 0
3 years ago
Eloise started to solve a radical equation in this way: Square root of negative 2x plus 1 − 3 = x Square root of negative 2x plu
andreyandreev [35.5K]
Here I copy the steps and indicate where the error is.

Square root of negative 2x plus 1 − 3 = x=> <span>this is the starting equation
</span>

√[ - 2x + 1] - 3 = x

Square root of negative 2x plus 1 − 3 + 3 = x + 3 in this step she added 3 to each side, which is fine

<span> Square root of negative 2x plus 1 = x + 3 <span>she made the addtions => fine</span></span>

Square root of negative 2x plus 1 − 1 = x + 3 – 1 due to <span>plus 1 in inside the square root, this step will not help</span>

<span> Square root of negative 2 x = x + 2 <span>wrong! she cannot simplify - 1 that is out of the square root with +1 that is inside the square root
</span></span>


<span>Then, from here on all is wrong, but she made other additional mistakes.</span>

(Square root of negative 2 x)2 = (x − 4)2 −2x <span> the right side should be (x+2)^2 which is x^2 + 4x +4 not (x-4)^2 - 2x</span>

Later she made a mistake changing the sign of -8x to +8x


Those are the mistakes. Finally, the global error is that she should verify whether the found values satisfied the original equation.

3 0
3 years ago
Read 2 more answers
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