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3 years ago

Which fraction is equivalent to 4 over negative 9?

Mathematics

2 answers:

Neporo4naja [7]3 years ago

7 0

A is correct. Just move the negative sign from in front of the 9 and place it in front of the 4.

Crank3 years ago

7 0

Answer:

A) -4 over 9

Step-by-step explanation:

We have the fraction $\frac{4}{-9}$ the equivalent of this fraction is $\frac{-4}{9}$

$\frac{4}{-9}= \frac{-4}{9} =-\frac{4}{9}$

Both fractions are the same and equivalent, the negative sign makes the whole fraction negative regardless of whether it is in the numerator or denominator.

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Divide using long division. <img src="https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20-5x%2B3%29" id="TexFormula1" title="(4x

frez [133]

Answer:

The quotient = 4x - 17 and the remainder = 54

Step-by-step explanation:

$\frac{4x^{2}-5x+3 }{x+3}=4x+\frac{-17x+3}{x+3}$

$\frac{-17x+3}{x+3}=-17+\frac{54}{x+3}$

The quotient = 4x - 17 and the remainder = 54

6 0

3 years ago

Read 2 more answers

Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156 and interest if

aleksley [76]

Answer:

6%.

Step-by-step explanation:

We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.

To find the interest rate we will use simple interest formula.

$I=P*r*T$

I= Interest.

P= Principal amount.

r=Annual interest rate (in decimal form).

T= Time in years.

We have been given that I=156, T=5, P=520

Upon substituting our values in above formula we will get,

$156=520*r*5$

$156=2600r$

$r=\frac{156}{2600}$

$r=0.06$

Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

$0.06*100=6 \text{ percent}$

Therefore, the annual interest rate was 6%.

6 0

4 years ago

Select the graphs that show a proportional relationship between x and y

muminat

Hey there could you please show an image of said graphs!

7 0

2 years ago

Solve the following pair of equations simultaneously.

Alchen [17]

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing
Expanding
Finding roots of a quadratic
Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define systems

2x - y = 9

4x² + 3y² - 2x + y = 16

Step 2: Rewrite systems

2x - y = 9

Subtract 2x on both sides: -y = 9 - 2x
Divide -1 on both sides: y = 2x - 9

Step 3: Redefine systems

y = 2x - 9

4x² + 3y² - 2x + y = 16

Step 4: Solve for x

Substitution

Substitute in y: 4x² + 3(2x - 9)² - 2x + (2x - 9) = 16
Expand: 4x² + 3(4x² - 36x + 81) - 2x + (2x - 9) = 16
Distribute 3: 4x² + 12x² - 108x + 243 - 2x + 2x - 9 = 16
Combine like terms: 16x² - 108x + 234 = 16
Factor GCF: 2(8x² - 54x + 117) = 16
Divide 2 on both sides: 8x² - 54x + 117 = 8
Subtract 8 on both sides: 8x² - 54x + 109 = 0
Define variables: a = 8, b = -54, c = 109
Resubstitute: $x=\frac{54\pm\sqrt{(-54)^2-4(8)(109)} }{2(8)}$
Exponents: $x=\frac{54\pm\sqrt{2916-4(8)(109)} }{2(8)}$
Multiply: $x=\frac{54\pm\sqrt{2916-3488} }{16}$
Subtract: $x=\frac{54\pm\sqrt{-572} }{16}$

Here we see that we start to delve into imaginary roots. Since on a real number plane, we do not have imaginary roots, there would be no solution to the systems of equations.

Step 5: Graph systems

We can verify our results.

8 0

3 years ago

What would be the value of expressing something like the national debt in scientific notation? What information would be lost in

Vikki [24]

As of January 8, 2015, the U.S. is $18.1 trillion in debt. (Source: National Priorities Project)

1 Trillion

= 1 Thousand Billion

= 1,000,000,000,000

= 10¹²

---------------------------

U.S National debt currently stands at:

$ 18.1 x 10¹²

*What information would be lost? Well firstly the 0's. The 0's put the size of the number into perspective. The word "trillion" would also be taken out of the picture, once again altering the perspective of the number.

Personally I'd prefer to hear "18.1 Trillion Dollars". Sounds more interesting.

8 0

3 years ago