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3 years ago

Solves the inequality. Write your final answer in interval notation: -3(2x+1) > -2(x+6)

Mathematics

1 answer:

3241004551 [841]3 years ago

7 0

-3(2x+1) > -2(x+6)

-6x -3 > -2x - 12

-6x -3+6x > -2x - 12+6x

-3>4x-12

-3+12>4x-12+12

9 > 4x

4x<9

x<4/9

(-∞, 4/9)

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If y = 4x + 0.5, find y when x =1.5

inn [45]

Answer:

= 6.5

Step-by-step explanation:

You have to plug in 1.5 for x

4(1.5) + 0.5 = 6.5

8 0

3 years ago

Can u guys answer my question 13 and 14 pls

Alika [10]

Answer:

√2=1.414

then :√8 +2√32 +3√128+4√50

√8=√2³ =2√2

2√32=√2^5 = 4*2√2 = 8√2

3√128 = 3√2^6*2=8*3√2 =24√2

4√50 =4√5²*2= 20√2

add results : 2√2+8√2 +24√2+20√2=54√2

<h2>54√2=54×1.414=76.356 ( it is not in the options)</h2>

x=7-4√3

√x+ 1/√x

√(7-4√3) +1/√(7-4√3) =

(8-4√3)/√(7-4√3)

(8-6.93)/√(7-6.93) = 4 ( after rounded to the nearest whole number)

4 is your answer

3 0

3 years ago

Please show your work and explain it.

Maru [420]

Answer:

$f(x)=\dfrac{x+2}{2(x-2)}$

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

$\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}$

Next we factor what we can so we can further simplify the rest of the equation:

$=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\$

We can now cancel out (x+2)

$=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}$

Next we factor out even more:

$=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}$

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

$=\dfrac{(x+2)(1)}{(x-2)(2)}$

And we can now simplify it to:

$=\dfrac{x+2}{2(x-2)}$

6 0

4 years ago

SUBIREF

kolezko [41]

Answer:

it is 0

Step-by-step explanation:SUBIREF

No.

Date

[

If åt b ta = 0 andla 1:6. Iblase

and tal=jul Rnd the angles of and

po

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3 years ago

Jogging shoes listed at $70 were on sale for $45 what percent of the regular price for soup

OLEGan [10]

If you’re asking what percentage was taken off, it would be 31.5%. (70*.45=31.5)

7 0

4 years ago