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3 years ago

Solve the two-step equation and identify the steps. 2 = -7/4+1/4x

Mathematics

2 answers:

GaryK [48]3 years ago

7 0

Answer:

Step-by-step explanation:

IgorC [24]3 years ago

7 0

1. Add 7/4 to both sides.

2. Multiply both sides by 4.

The solution is x =15

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What are the roots of the quadratic equation x2+2x=-5

stiks02 [169]

Answer:

x = -1 +/-2i

Step-by-step explanation:

Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.

x² + 2x + 5 = 0

Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

$x = \frac{-2 +/- \sqrt{(-2)^2 - 4(1)(5)} }{2(1)} = \frac{-2 +/-\sqrt{4 -20 } }{2} = \frac{-2 +/-\sqrt{-16 } }{2} = \frac{-2 +/-4i }{2} = -1 +/-2i$

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3 years ago

A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

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$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

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3 years ago

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Step-by-step explanation:

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2 years ago

There are 35 boys in band and 49 girls in band. Ryan says that the ratio of 10 poi boys to girls is 5 to 7. Which statement is t

agasfer [191]

Answer:

A. He is right because 5 x 7 = 35 and 7 x 7 = 49. Since they are both multiplied by 7, they are equal.

Step-by-step explanation:

Explained in the answer.

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3 years ago