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3 years ago

Find the exact solution of x. 3x² + 7 = 28 ( square root)

Mathematics

1 answer:

Schach [20]3 years ago

5 0

Answer

The exact solution of x is 2.65 for the given equation 3x² + 7 = 28 .

Step-by-step explanation:

The equation given in the question is as follows.

3x² + 7 = 28

Now simplify the above eqaution

3x² = 28 - 7

3x² = 21

$x^{2} = \frac{21}{3}$

x² = 7

$x = \sqrt{7}$

x = 2.65

Therefore the solution for x is 2.65 for the given equation 3x² + 7 = 28 .

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7.) The width of a vegetable garden is times its length. If the length of the garden is 73

Solnce55 [7]

Answer:

So, the length (L) = 7 3/4 ft = 31/4 (as an improper fraction)

the width (W) = (1/3)xL

So the width = 1/3 x (31/4) =

31/12 = 2 7/12 feet

Step-by-step explanation:

its up there

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3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State

steposvetlana [31]

Answer:

The slope should be -2

You should go down 2 and go over 1.

Slope Intercept Form: y= -2x+3

Step-by-step explanation:

First, you need to identify the slope: (meaning whether it is a postive or negative.)

In this case, You have a negative slope.

This means instead of rising you're decreasing down.

When you "run" or move horizontally you MUST move right even if it's a negative slope.

Now, you need to identify your Y-Intercept.

Your Y-Intercept should be (0,3)

Next, you have to find your slope:

In order to find your slope, you need to find where the line is crossing the coordinate.

Start at (-1,5) and go down and over to (0,3)

Your answer should be that you went down 2 and over 1.

The slope can't be 2 because if it were to be 2, then that would be a positive slope which isn't our occasion.

The slope is -2.

In Slope Intercept Form: y= -2x+3

4 0

3 years ago

Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet

lana [24]

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= $2(l+w)$

where, l= length

w= width

∴ Perimeter of rectangular court= $2(84\ feet + 50\ feet)$

⇒ Perimeter of rectangular court= $2(134\ feet)$

Opening parenthesis

⇒ Perimeter of rectangular court= $2\times 134\ feet= 268\ feet$

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= $268\ feet\times 3= 804\ feet$

Hence, Brett jog for 804 feet.

3 0

3 years ago

Mariana runs at a rate of 300 meters how far does she run in 8 minutes

IgorC [24]

Answer:

well if this is by 300meters in one minutes then it would be 2400 meters

7 0

4 years ago

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

ELEN [110]

Answer:

(a)

$\left[\begin{array}{ccccccccc} &1&2&3&4&5&6&7&8\\1&1&2&3&4&5&6&7&8\\2&2&4&6&8&10&12&14&16\\3&3&6&9&12&15&18&21&24\\4&4&8&12&16&20&24&28&32\\5&5&10&15&20&25&30&35&40\\6&6&12&18&24&30&36&42&48\\7&7&14&21&28&35&42&49&56\\8&8&16&24&32&40&48&56&64\end{array}\right]$

(b)

(i)probability that the product of the two numbers is a prime number=7/64

(ii)probability that the product of the two numbers is not a perfect square=56/64

(iii)probability that the product of the two numbers is a multiple of 5 =15/64

(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64

(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64

Step-by-step explanation:

(a) 8-sided fair die implies each die can have outcomes 1,2,3,4,5.6,7,8 with equal chances.

To draw the possibility diagram of the product of the two numbers appearing on the die in each throw, we put the outcomes of both dies side by side and find the product of possible outcomes.

(b) probability= Number of outcome / Total number of outcomes

(i)probability that the product of the two numbers is a prime number=8/64=1/8

based on sample space, the prime numbers are 2,2,3,3,5,5,7,7

(ii)probability that the product of the two numbers is not a perfect square=56/64=7/8

based on sample space, only 1,4,9,16,25,36,49,64 are perfect square

(iii)probability that the product of the two numbers is a multiple of 5 =15/64

(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64=5/8

(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64=21/32

6 0

3 years ago