3 years ago

Clare made an error when solving -4x + 3 < 23

Mathematics

1 answer:

Fittoniya [83]3 years ago

6 0

Answer:

Clare didn't change the inequality symbol in the last step to >

Step-by-step explanation:

Given inequality is:

$-4x+3$

Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.

The answer must have been x > -5

The correct way to solve is:

$-4x+3$

Hence,

Clare didn't change the inequality symbol in the last step to >

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Which will have a greater effect on the volume of the prism: doubling the height or doubling the width? Explain your reasons.

statuscvo [17]

Doubling the width has a greater effect on volume.
The volume of a prism is calculated by this formula:
Prism Volume = Area of Base • Height
The Area of the Base is calculated by this formula:
area = n * side² / (4*tan(180 / # of sides)

So, we see that doubling the width (the side length) will increase the volume by 4 whereas doubling the height only doubles the volume.