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3 years ago

The inequality x+c>-2.55 has the solution x>4.85 What is the value of c? How do you know?

Mathematics

1 answer:

Novay_Z [31]3 years ago

7 0

Answer:

$\large\boxed{c=-7.4}$

Step-by-step explanation:

$x+c>-2.55\qquad\text{subtract c from both sides}\\\\x>-2.55-c\\\\\text{We have the solution}\ x>4.85.\ \text{Therefore}\\\\-2.55-c=4.85\qquad\text{add 2.55 to both sides}\\\\-2.55+2.55-c=4.85+2.55\\\\-c=7.4\qquad\text{change the signs}\\\\c=-7.4$

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Let the number be x

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3 years ago

An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e

laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

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Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

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To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

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x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

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3 years ago

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3 years ago

The inequality x+c>-2.55 has the solution x>4.85 What is the value of c? How do you know?​

The inequality x+c>-2.55 has the solution x>4.85 What is the value of c? How do you know?