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4 years ago

What is 17 divided by 8 equal?17÷8=

Mathematics

2 answers:

iren [92.7K]4 years ago

8 0

In decimal form it equals 2.125 or 2.1 rounded to the nearest tenth

Hope this helps

ser-zykov [4K]4 years ago

3 0

2 remainder 1 or 2.1 make sure to follow me

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Which equation is y = –6x^2 + 3x + 2 rewritten in vertex form? y = negative 6 (x minus 1) squared + 8 y = negative 6 (x + one-fo

mart [117]

Answer:

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Step-by-step explanation:

Given:

$y = -6x^2 + 3x + 2$

Required

Rewrite in vertex form

The vertex form of an equation is in form of: $y = a(x - h)^2+ k$

Solving: $y = -6x^2 + 3x + 2$

Subtract 2 from both sides

$y - 2 = -6x^2 + 3x + 2 - 2$

$y - 2 = -6x^2 + 3x$

Factorize expression on the right hand side by dividing through by the coefficient of x²

$y - 2 = -6(x^2 + \frac{3x}{-6})$

$y - 2 = -6(x^2 - \frac{3x}{6})$

$y - 2 = -6(x^2 - \frac{x}{2})$

Get a perfect square of coefficient of x; then add to both sides

------------------------------------------------------------------------------------

Rough work

The coefficient of x is $\frac{-1}{2}$

It's square is $(\frac{-1}{2})^2 = \frac{1}{4}$

Adding inside the bracket of $-6(x^2 - \frac{x}{2})$ to give: $-6(x^2 - \frac{x}{2} + \frac{1}{4})$

To balance the equation, the same expression must be added to the other side of the equation;

Equivalent expression is: $-6(\frac{1}{4})$

------------------------------------------------------------------------------------

The expression becomes

$y - 2 -6(\frac{1}{4})= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{6}{4}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

$y - 2 -\frac{3}{2}= -6(x^2 - \frac{x}{2} + \frac{1}{4})$

Factorize the expression on the right hand side

$y - 2 -\frac{3}{2}= -6(x - \frac{1}{2})^2$

$y - (2 +\frac{3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{4+3}{2})= -6(x - \frac{1}{2})^2$

$y - (\frac{7}{2})= -6(x - \frac{1}{2})^2$

$y +\frac{7}{2} = -6(x - \frac{1}{2})^2$

Make y the subject of formula

$y = -6(x - \frac{1}{2})^2 -\frac{7}{2}$

Solved

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4 years ago

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Find the area of a circle with radius, r = 5.52m. answer rounded to 2 DP.

Mice21 [21]

Answer:

Step-by-step explanation:

Formula = A=πr2

Putting values in the equation

A = (3.14) (5.52)^2

= 95.73

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3 years ago

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Which transformations will map octagon PQRSTVWZ onto itself?

Usimov [2.4K]

Answer:

Rotation, Reflection and Translation.

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3 years ago

What is the surface area of a sphere with a radius of 11 units

Otrada [13]

Answer: A≈1519.76³ Units

Step-by-step explanation:

A=4πr²

r = 11

11²=121

121 * 3.14 = 379.94

379.94(4) = 1519.76

A≈1519.76³ Units OR

A=4πr2=4·π·112≈1520.53084

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3 years ago

There are 446 highlighters in a carton there are 38 cartons. What is the total amount of highlighters in all Carton. Please show

Kisachek [45]

You would do 38 times 446 which equals 16056

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3 years ago

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