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2 years ago

5.Write each algebraic expression in simplest form.

Mathematics

2 answers:

Hatshy [7]2 years ago

7 0

Answer:

=12x+y

Step-by-step explanation:

Combine like terms

=5x+-3y+7x+4y

=(5x+7x)+(-3y+4y)

=12x+y

OverLord2011 [107]2 years ago

7 0

Answer:

12x + y

Step-by-step explanation:

(5x - 3y) + (7x + 4y)

-you need to distribute a 1 from the 1(7x + 4y) and drop the 5x - 3y

5x - 3y + 7x + 4y

- combine like terms

5x + 7x = 12x & -3y + 4y = 1y or just y

12x + y

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Each season a school basketball team plays 3 practice games and then plays 2 regular seasons games against each of x teams. Whic

Leno4ka [110]

Answer:

3x+2x=total number

Step-by-step explanation:

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2 years ago

Simplify. Evaluate the numerical bases. 3^2 b^2 c^-4 *3^-1 b^-5 c^7

photoshop1234 [79]

Hope I can be of assistance!

$3^2b^2c^{-4}\cdot \:3^{-1}b^{-5}c^7 \ \textgreater \ \mathrm{Apply\:exponent\:rule}:\ \:a^b\cdot \:a^c=a^{b+c}$
$3^{-1}\cdot \:3^2=\:3^{2-1}=\:3^1=\:3 \ \textgreater \ 3b^{-5}b^2c^{-4}c^7$

$\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \ b^{-5}b^2=\:b^{2-5}=\:b^{-3}$
$3b^{-3}c^{-4}c^7$

$\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \ c^{-4}c^7=\:c^{-4+7}=\:c^3$
$3b^{-3}c^3$

$\mathrm{Apply\:exponent\:rule}: \:a^{-b}=\frac{1}{a^b} \ \textgreater \ b^{-3}=\frac{1}{b^3} \ \textgreater \ 3\cdot \frac{1}{b^3}c^3$

$\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ \frac{1\cdot \:3c^3}{b^3}$

Finally
$\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \ \frac{3c^3}{b^3}$

Hope this helps!

8 0

3 years ago

Solve the right triangle. Will give points!

Anna [14]

Answer:

EF = 4.1
DE = 9.1
m∠F = 66°

Step-by-step explanation:

The hypotenuse and one acute angle are given. The relevant relations are ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

For the given triangle, these tell us ...

sin(24°) = EF/DF = EF/10

EF = 10·sin(24°) ≈ 4.1

and ...

cos(24°) = DE/DF = DE/10

DE = 10·cos(24°) ≈ 9.1

The remaining acute angle is the complement of the given one:

F = 90° -D = 90° -24°

∠F = 66°

6 0

1 year ago

Find each sum. (-3)+2

iren2701 [21]

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2 years ago

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k0ka [10]

Answer:

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Step-by-step explanation:

8 0

2 years ago