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Crank
2 years ago
11

Which of the following choices is equivalent to -9x > -27?

Mathematics
2 answers:
sergey [27]2 years ago
7 0

         \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

            <em>Which of the following is equivalent to -9x>-27?</em>

<em />

<em>                                                       </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

\dagger First of all, we need to divide by -9 on both sides as follows:-

                                  \Large\bold{x < 3}

\dagger You may have noticed that the inequality sign changed from "greater than" to "less than".

     \bigstar This happened because we divided by a negative number on both sides.

<h3>Good luck with your studies.</h3>

\rule{300}{1}

Llana [10]2 years ago
5 0

Answer:

-9x>-27

x<-27/-9

x<3

note: the sign of the inequality will change if the equation is divided/multiplied by a negative number

example : -x<-3 (×-1)

x>3

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3 years ago
The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.
spayn [35]

Answer:

2

Step-by-step explanation:

Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.

8 0
3 years ago
A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city.
nirvana33 [79]

Answer:

H0: p ≤ 0.50

Ha: p > 0.50

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Let p represent the proportion of households in the city that gave a charitable donation in the past year

The null hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is not more that 0.50

H0: p ≤ 0.50

The alternative hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is more that 0.50

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7 0
3 years ago
12x+6x^2(3x-2)-8x^2-7x
Colt1911 [192]

Answer:

x⋅(2x+1)⋅(2x+3)⋅(3x−2)

Step-by-step explanation:

Equation at the end of step 1

 (((12•(x4))+(16•(x3)))-7x2)-6x

STEP

2

:

Equation at the end of step

2

:

 (((12 • (x4)) +  24x3) -  7x2) -  6x

STEP

3

:

Equation at the end of step

3

:

 (((22•3x4) +  24x3) -  7x2) -  6x

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  12x4 + 16x3 - 7x2 - 6x  =

 x • (12x3 + 16x2 - 7x - 6)

Checking for a perfect cube :

5.2    12x3 + 16x2 - 7x - 6  is not a perfect cube

7 0
3 years ago
PLEASE HELP! The question is in the picture, i need to answer URGENTLY!
Andrej [43]
Kim is 43 Jordan is 50

200÷4=50
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200÷4-7=x
4 0
3 years ago
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