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charle [14.2K]
3 years ago
10

How to solve the problem

Mathematics
1 answer:
mestny [16]3 years ago
6 0
Substitute 4 for x.
-|4-7|+3
-3+3
f(4) = 0
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I need help on this math problem!
swat32

(-7, 2) is the location of W.

because W on the X axis is -7

and W on the Y axis is 2.

making it (-7, 2)

8 0
3 years ago
Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4
gtnhenbr [62]

Answer:

Simplifying the expression (6^{-2})(3^{-3})(3*6)^4 we get \mathbf{108}

Step-by-step explanation:

We need to simplify the expression (6^{-2})(3^{-3})(3*6)^4

Solving:

(6^{-2})(3^{-3})(3*6)^4

Applying exponent rule: a^{-m}=\frac{1}{a^m}

=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\

Factors of 18=2\times 3\times 3=2\times3^2

Factors of 6=2\times 3

Replacing terms with factors

=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\

Using exponent rule: (a^m)^n=a^{m\times n}

=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}

Using exponent rule: a^m.a^n=a^{m+n}

=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}

Now using exponent rule: \frac{a^m}{a^n}=a^{m-n}

=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108

So, simplifying the expression (6^{-2})(3^{-3})(3*6)^4 we get \mathbf{108}

7 0
3 years ago
The ratio of roses to carnations is 7 to 5. If 96 flowers are needed for table decorations,
coldgirl [10]

Answer: 56 roses and 40 carnations are needed.

Step-by-step explanation: <u>Here’s the table of ratios that’ll help you find how many roses and carnations are needed to make a total of 96 flowers for table decorations:</u>

7:5 /14:10 /21:15 /28:20 /35:25 /42:30 /49:35/ 56:40/

*56 + 40 = 96

Hence, 56 roses and 40 carnations are needed if 96 flowers are needed for table decorations.

<u></u>

8 0
2 years ago
The set of x valúes of a function this is another name of range
marin [14]

Answer:

  False?

Step-by-step explanation:

We can't tell what the question is here, but it looks like you want to know about the definition of domain and range.

The set of x-values is the <em>domain</em>.

The set of y-values is the <em>range</em>.

__

"range" is <u>not</u> another name for the set of x-values.

8 0
3 years ago
Help me plz!
Goryan [66]

Answer:

1,451.61 cm²

Step-by-step explanation:

A = LW

A = 38.1 x 38.1 (since a checkerboard has to be square)

A = 1,451.61

8 0
3 years ago
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