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Sloan [31]
3 years ago
9

|6m-54|, if m<9 help rsm

Mathematics
1 answer:
bija089 [108]3 years ago
6 0

Answer:

|6m - 54|   \: >  \: 0

Step-by-step explanation:

Let

y =  |6m - 54|

We can factor 6 to get:

y = 6 |m - 9|

This is the graph an absolute value function that opens upwards.

The vertex is at (0,9)

The range is

y \geqslant 0

For m<9, the graph is always above the x-axis.

Therefore for m<9,

|6m - 54|   \: >  \: 0

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What is the solution to -4(8 – 3x) &gt;_ 6x – 8?
Vsevolod [243]

Answer:

x ≥ 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

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

-4(8 - 3x) ≥ 6x - 8

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

  1. Distribute -4:                              -32 + 12x ≥ 6x - 8
  2. Subtract 6x on both sides:        -32 + 6x ≥ -8
  3. Add 32 on both sides:              6x ≥ 24
  4. Divide 6 on both sides:             x ≥ 4

Here we see that <em>x</em> can be any value greater than or equal to 4.

3 0
3 years ago
What is the output for a graph y=x/3 + 5 when the input value is 6
Pavel [41]
It means y=6/3+5.
6/3 is 2.
so y=2+5
2+5=7
y=7 is your answer :)
7 0
3 years ago
Question 5
Semenov [28]

Answer:

NEITHER OF THEM IS THE ANSWER

6 0
3 years ago
A bank loaned out $37,500, part of it at the rate of 11% annual interest, and the rest at 9% annual interest. The total interest
kondaur [170]

Answer:

The Loan amount at 11 % interest rate is $ 18,500   And

The Loan amount at 9 % interest rate is $ 19,000

Step-by-step explanation:

Given as :

Let The loan given at interest rate of 11 % annual  = $ x

And The loan given at interest rate of 9 % annual = ($37,500 - $ x)

Total interest fro both loan = $3745

I.e  CI 1 + CI 2 = $3745

Now, From compound interest method :

Amount= Principal\times (1 + \frac{Rate}{100})^{Time}

A 1 = $ 1\times (1 + \frac{11}{100})^{1}

Or,  A 1 = $ 1.11 x

<u>Similarly</u>

A 2 = ($37,500 -x ) \times (1 + \frac{9}{100})^{1}

Or, A 2 = 1.09 × ($37,500 - $ x)

∵  Compound Interest = Amount - principal

Or, $ 3745 = CI 1 + CI 2

Or,  $ 3745 = ($ 1.11 x - $ x) + ( 1.09 × ($37,500 - $ x) -  ($37,500 - $ x) )

Or,  $ 3745 = $ .11 x+  ($37,500 - $ x) ( .09 )

Or,  $ 3745 = $ .02 x + $ 3375

or,  0.02 x =  $ 3745 - $ 3375

∴   x = $ \frac{370}{.02}

SO,  x = $ 18,500

And $ 37500 - x = $ 19,000

Hence The Loan amount at 11 % interest rate is $ 18,500   And

           The Loan amount at 9 % interest rate is $ 19,000   Answer

4 0
3 years ago
Define: Congruent,parallel,and symmetry.
slava [35]

Answer: MRK BRAINLY PLEASE

Properties of parallelograms

can be observed through

symmetry.

Definition: A parallelogram is a quadrilateral with

two sets of opposite sides parallel.

Definitions need no further observations, as they are stated facts.

A parallelogram has rotational symmetry when rotated 180º about its center.

A parallelogram has no reflectional symmetry.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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