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ad-work [718]
4 years ago
7

3(x+2)-6x+6<0

Mathematics
1 answer:
Mrac [35]4 years ago
8 0

3(x+2)-6x+6<0    "< is like equal sign bruv"

3x+6-6x+6<0      "do group so ( ) so multiply and bring everything else down"

-3x+12<0      "add all like terms so "3x-6x" and "6+6" since they cancel out you get "

-3x< 0-12 "to get rid of 12 you subtract 12 and subtract it from the other side so 0 aswell

-3x<-12 "you would end up with this"

-3x/-3 < -12/-3   "since dividing or multiplying by a negative you flip the arrow"

x > 4   "this is the answer"


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Solve for kkk.
Likurg_2 [28]

Answer:

k=\frac{3}{2}

Step-by-step explanation:

Given:

\frac{k}{4}=\frac{3}{8}

To find: value of k

Solution:

Cross-multiplying is a method in which the numerator of each (or one) side is multiplied by the denominator of the other side.

\frac{k}{4}=\frac{3}{8}

On cross-multiplication, the equation becomes k\times 8=4\times 3

8k=12

Divides both sides by 8

\frac{8k}{8}=\frac{12}{8}\\k=\frac{12}{8}=\frac{3}{2}

5 0
3 years ago
Read 2 more answers
Motion and rate of change derivatives. Attached is the question and where I am stuck, I would really appreciate the help :)
barxatty [35]

Answer:

A. 3 < t < 9

Step-by-step explanation:

When the particle is moving to the right, the velocity is positive.

To find the velocity, take the derivative of s(t) with respect to t.

s(t) = -t³/3 + 13t²/2 − 30t

s'(t) = -t² + 13t − 30

Find when the velocity is 0.

0 = -t² + 13t − 30

0 = t² − 13t + 30

0 = (t − 3) (t − 10)

t = 3, 10

Check the sign of s'(t) in each interval.

0 < t < 3, s'(t) < 0

3 < t < 9, s'(t) > 0

The particle moves to the right when 3 < t < 9.

4 0
4 years ago
Fabio drinks 2 quarts of water each day. How many cups of water does Fabio drink each day? (1 quarts = 4 cups
Westkost [7]

If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

By applying direct proportion, we have:

1 quarts = 4 cups

2 quarts = X cups

Cross-multiplying, we have:

X = 4 × 2

X = 8 cups.

In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.

Read more on direct proportion here: brainly.com/question/1266676

#SPJ1

5 0
1 year ago
How long will it take for $2100 to grow to $47200 at an interest rate of 4.5% if the interest is compounded continuously? Round
Serhud [2]

hi,  

you have  then :   2100 * 1.045 ^n  = 47 200

                                         1.045^n = 47200 /2100

                                          1.045^n = 472/21

                                                    n =  ln ( 472/21 )  / ln ( 1.045)

                                                    n ≈71 years

let's check :   2100 *1.045^70 = 45746,68   and  2100 *1.045^71 = 47805.28

8 0
4 years ago
Please help me with this problem. This is urgent. It is timed.
GalinKa [24]

Answer:

See the attached file.

Step-by-step explanation:

The given base function is

f(x) =  \sqrt{x}

The transformed function has equation.

g(x) =  -  \sqrt{x - 3}  + 11

The -1 in front of the radical reflects f over the x-axis.

The 3 under the radical sign shifts the graph of f to the right by 3 units.

The 11 shifts the graph up by 11 units.

7 0
4 years ago
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