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3 years ago

Arrange the following in descending order. 5/8, 1/20, 7/8

Mathematics

1 answer:

Juliette [100K]3 years ago

7 0

Answer:

7/8, 5/8. 1/20

Step-by-step explanation:

7/8 is close to 1

5/8 is close to half of 1

1/20 is closer to zero than it is to 1

therefore, 7/8 is the largest number, 1/20 is the smallest number, and 5/8 is in between them

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What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St

Vladimir [108]

Answer:

See attached for a "Neat" quadratic formula.

a = -1

b = 2

c = 1

x = [-2 +- sqr root( 4 -4*-1*1)] / -2

x = [-2 +- sqr root(8)] / -2

x1 = (-2 +2.8284271247) / -2

x1 = .8284271247 / -2

x1 = -0.41421

x2 = (-2 -2.8284271247) / -2

x2 = ( -4.8284271247) / -2

x2 = 2.4142135624

So the equation has the positive solution of

2.4142135624

Step-by-step explanation:

3 0

3 years ago

A number y increased by 5 is at least -21

gayaneshka [121]

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

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}$

❖ A number y increased by 5 is at least -21.

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}$

❖ First, if you come across the word "increased" it means we

"increase" a number, or add something to that number, like

y increased by 5 $\longmapsto$ $\sf{y+5}$

Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.

So we have

$\longmapsto\sf{y+5\geq -21}}$

<em>Solving for y</em>

Subtract 5 on both sides:-

$\longmapsto\sf{y\geq -21-5}$

$\longmapsto\sf{y\geq -26}$

So the values of y greater than or equal to -26 will make this inequality true.

<h3>Good luck with your studies.</h3>

$\rule{300}{1}$

7 0

2 years ago

Read 2 more answers

The function g is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choos

koban [17]

Answer:

C. $g(x) = -2 \cdot (x + 1)\cdot (x+7)$

Step-by-step explanation:

The polynomial form that reveals most quickly the zeroes is the form of a product of binomials. That is:

$g(x) = \Pi\limits_{i=1}^{n} (x-r_{i})$

Where $\Pi$ is the product function and $r_{i}$ is the i-th root of the polynomial.

Hence, $g(x) = -2 \cdot (x + 1)\cdot (x+7)$ resembles a form that is close to the form described above. The right option is C.

8 0

3 years ago

The price, P, of a certain stock is given by the formula P = -6t + 50 when t is the number of years since 2000. Find the price o

oksian1 [2.3K]

Answer:

year 2000: P = 50

year 2004: P = 24

Step-by-step explanation:

t is the number of years since 2000, so for the year 2000, we have that t = 0.

Using this value in the equation, we find that:

P = -6 * 0 + 50 = 50

The price of the stock in year 2000 is 50.

For the year 2004, we have that t = 4, so using this value in the equation for P, we have:

P = -6 * 4 + 50 = -24 + 50 = 26

The price of the stock in year 2004 is 24.

3 0

3 years ago

What is the value of x?

nika2105 [10]

AC is the hypotenuse of triangle ABC.

Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.

This means AB is 6, which it the hypotenuse of triangle BCD.

Using cos(angle) = adjacent leg / hypotenuse we can find x:

cos(60) = X / 6

x = 6 * cos(60)

x = 3

8 0

3 years ago

Read 2 more answers

Arrange the following in descending order. 5/8, 1/20, 7/8​

Arrange the following in descending order. 5/8, 1/20, 7/8