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3 years ago

How many times can 6 go into 62?

Mathematics

2 answers:

puteri [66]3 years ago

6 0

6 can go into 62 10 times because 62/6 = 10 2/6, but you can have 2/6 of a 6, so you say you can put 6 in 10 times.

MAXImum [283]3 years ago

3 0

6 TIME 10 equals 60. It can go in 62 ten times. If you want to get specific, its 10 1/3

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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

7 0

3 years ago

Read 2 more answers

4 = 3x -x-4 I need steps to how to do this

vesna_86 [32]

Step-by-step explanation:

so first you combine like terms , 3x-x-4=4 turns into 4x-4=4 then u add 4 to both sides [inverse operations]

4x-4=4

+4 +4

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

4x= 8

----------

4. 4

×=2

then u use inverse operations. agian and divide 4 into 8 and you get 2 !! x = 2

4 0

3 years ago

Read 2 more answers

Y/-7 = 1/14 y = ? pls answer as a reduced fraction.

mote1985 [20]

Answer:

y = -1/2

Step-by-step explanation:

−7⋅

8 0

3 years ago

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Find the value of this expression if x= -7 x^2+5/x+1

Ray Of Light [21]

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

8 0

2 years ago

Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of re

Semenov [28]

Answer:

140,120

Step-by-step explanation:

sum of angles in a quadrilateral =360

sum of the 1st two angles=60+40=100

360-100=260

the ratio of the remaining angles 7:6

therefore:

$\frac{7}{13} \times 260$

=140

for the second angle

260-140=120

5 0

2 years ago