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3 years ago

Solve for x, -3x + 8 < 23

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

6 0

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-3x + 8 < 23

- 8 on both sides

-3x < 15

/ -3 on both sides

x > -5

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- Ally ✧

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sergejj [24]3 years ago

6 0

Answer:

It is x > -5

Step-by-step explanation:

Equation: -3x + 8 < 23

First, we have to move the constant to the other side. By moving it to the other side, the sign also changes becoming -3x < 23 - 8.

Now we simplify: 23 - 8 becomes 15

New equation: -3x < 15

Finally, we want the X by itself, and to do that, we must divide -3 to both sides. Keep in mind that when we multiply or divide, the sign '<' also changes.

$\frac{-3x}{-3}$ < $\frac{15}{-3}$ = x > -5

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3 years ago

David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o

BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :( $b^4,b^2,b^4$ )

$b^4$ = b × b × b × b

$b^2$ = b × b

$b^4$ =b × b × b × b

GCF of variables :( $b^4,b^2,b^4$ ) is $b^2$

3) GCF of $c^3$ and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.