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iVinArrow [24]
3 years ago
6

Rewrite the expression using the GCF and the distributive property (39+91)

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

1. 13\cdot (3+7)

2. $2,520

Step-by-step explanation:

1. Given numbers 39 and 91. Factorize them:

39=3\cdot 13\\ \\91=7\cdot 13,

then

GCF(39,91)=13

Use distributive property:

39+91=3\cdot 13+7\cdot 13=13\cdot (3+7)

2. Month salary = $2,100

To find 10% of $2,100, just multiply $2,100 by 0.1 (because 10% is 0.1 as decimal):

\$2,100\cdot 0.1=\$210

$210 is the monthly tax, then the year tax is

\$210\cdot 12=\$2,520

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Determine the solutuon for x^2-3x-28>0
natita [175]

Answer:

 x < -4 or x > 7.

Step-by-step explanation:

We first determine the critical points by solving x^2 - 3x - 28 = 0:

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x = 7, - 4

so the critical points are  -4 and  7.

Create a Table   (pos = positive and neg = negative):

Value  of           x< - 4        -4  < x < 7         x > 7    

---------------------|----------- |--------------------- |---------------------

x + 4                  NEG           POS                 POS

x - 7                    NEG           NEG                POS

(x + 4)(x - 7)         POS           NEG                POS

So the function is positive (>0) for x < -4 or x > 7.

You can also do this by drawing the graph of the function.

6 0
3 years ago
An expression that uses variables to state a rule is a ______
nikdorinn [45]

<u>Formula</u>

<em>An expression that uses variables to state a rule is a </em><u><em>formula</em></u>

<h2>Explanation:</h2>

An expression that uses variables to state a rule is a formula. It's important to know that formulas uses the equals sign (=) and includes two or more variables. Formulas gives us information that we express symbolically. For example, the well known formula for the volume of a sphere is defined as:

V=\frac{4}{3} \pi r^3 \\ \\ \\ Where: \\ \\ V:Volume \ of \ the \ sphere \\ \\ r:Radius \ of \ the \ sphere

So in this formula we have a relationship between the volume of a sphere and its radius, so if we have information about the radius of it we can easily calculate the volume of it.

<h2>Learn more:</h2>

Volume of prism: brainly.com/question/12501166

#LearnWithBrainly

7 0
3 years ago
Read 2 more answers
In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.
Pani-rosa [81]

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

\frac{sin(X)}{x}  = \frac{sin(W)}{w}

Plug in:

\frac{sin(68)}{x} = \frac{sin(93)}{520}

The answer when solving for x is the above

7 0
3 years ago
How to make 2700 and 600 a fraction
devlian [24]
I think I may be missing something ... I don't completely understand your question. 
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the bottom, and bada-bing, you have a fraction.

You can make fractions like

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                 6 / 27         
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3 years ago
If f(x)=3x and g(x)=1/x what is the domain of (gof)(x)?
melomori [17]

Answer:

f=7x g=3   x=18

Step-by-step explanation:

6 0
3 years ago
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