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3 years ago

Solve y=x2-5 for x.

Mathematics

1 answer:

faltersainse [42]3 years ago

7 0

Answer: x=+/- square root of y+5 (A, i think this one kinda confused me)

y=x^2-5
substitute y for 0
0=x^2-5
subtract x^2 on both sides
-x^2=-5
since they both can be negative and positive change signs to positive to be easier
x^2=5
square root both sides
x=+/- square root of 5

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What is the reciprocal of 3 and 1/5

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3 years ago

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2 years ago

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)equa

Alenkinab [10]

Answer:

20 Bicycles

Step-by-step explanation:

The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

$C(x)=0.5x^2-0.2x+6.756$

The minimum value of C occurs at the axis of symmetry.

Axis of Symmetry, $x=-\frac{b}{2a}$

Comparing with the standard form of a quadratic equation $ax^2+bx+c=0$

a=0.5, b=-0.2

$x=-\frac{(-0.2)}{2*0.5}\\x=0.2$

x=0.2 Hundreds =0.2 X 100 =20

When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.

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3 years ago

Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9, ...

omeli [17]

Answer

b) A(10) = 15 + 9(-2)

<u>Explanation</u>

15, 13, 11, 9, ... This is an arithmetic sequence.

The common difference = 13 - 15 = -2

or = 9 - 11 = -2

The first term of the sequence = 15.

The nth term of an arithmetic sequence is given by:

Tn = a + (n - 1)d

∴ T₁₀ = 15 + (10 - 1)(-2)

= 15 + (9 × -2) ⇒ This is the expression you need.

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2 years ago

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Given:

The shape is square.

To find:

The surface area and volume of a square.

Explanation:

The length of each side of the square is "a" units.

The formula for the surface area of the square is,

$\begin{gathered} Surface\text{ area = 6}\times Area\text{ of the square} \\ S.A=6a^2\text{ square units} \end{gathered}$

The formula for the volume of the square is,

$\begin{gathered} Volume,\text{ V= Length }\times breadth\times Height \\ =a\times a\times a\text{ cubic units} \\ V=a^3\text{ }cubic\text{ }units \end{gathered}$

Using these formulas, we can find the surface area and the volume of the square that has side length "a" units.

For example:

Let the side length of 3cm for a square.

So, the dimensions are 3cm by 3cm by 3cm.

That is,

The Length is 3cm.

The breadth is 3cm.

The height is 3cm.

So,

$a=3cm$

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Therefore, the surface area of the square is 54 square cm.

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$\begin{gathered} V=a^3 \\ =3^3 \\ V=27cm^3 \end{gathered}$

Therefore, the volume of the square is 27 cubic cm.

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11 months ago