Factor the expression B^2 + 56+ 6

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

7 0

Answer:

B^2 +62

Step-by-step explanation:

See the steps below:)

Setler79 [48]2 years ago

5 0

Answer:

B^2+62

Step-by-step explanation:

Just add 56 and 6

B^2+62

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2 years ago

Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.

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2 years ago

A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball

Delvig [45]

Answer:

Volume of soccer ball = 5,572.45 Cm³ (Approx)

Step-by-step explanation:

Given:

Diameter of soccer ball = 22 Cm

Radius of soccer ball = 22 Cm / 2 = 11 Cm

Find:

Volume of soccer ball = ?

Computation:

$Volume\ of\ soccer\ ball = \frac{4}{3} \pi r^3\\\\ Volume\ of\ soccer\ ball = \frac{4}{3} \times\frac{22}{7} \times 11^3\\\\ Volume\ of\ soccer\ ball = 5,572.45332$