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3 years ago

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Mathematics

1 answer:

sergey [27]3 years ago

6 0

The answer for the question is 3.8

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(Algebra II) Extra points!!Determine whether y varies directly with x

ludmilkaskok [199]

Answer:

k = 1.6
y = 1.6x

Step-by-step explanation:

If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).

Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6

The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...

y = 1.6x

8 0

4 years ago

A circular mirror has a diameter of 12 inches.what is the area, in square inches, of the mirror.

navik [9.2K]

Answer: The area of the mirror is 113.14 sq. inches [approx.].

Step-by-step explanation: Given that a circular can till 375 ft² of land in 15 min.

We are to find the area of the mirror in square inches.

The AREA of a circle with radius 'r' units is given by

$A=\pi r^2.$

The diameter of the circular mirror is 12 inches, so the radius of the mirror will be

$r=\dfrac{12}{2}=6~\textup{inches}.$

Therefore, the area of the circular mirror is

$A=\pi r^2=\frac{22}{7}\times 6^2=\dfrac{22\times 36}{7}=113.14~\textup{sq inches}~\textup{[approx.]}$

Thus, the area of the mirror is 113.14 sq. inches [approx.].

8 0

3 years ago

Read 2 more answers

Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33

Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

$y =-3x^2 + 12x - 33$

Required

The true statement about the extreme value

First, write out the leading coefficient

$Leading = -3$

$-3 < 0$ means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

$x = -\frac{b}{2a}$

Where:

$a= -3; b =12; c =-33$

So, we have:

$x = -\frac{12}{2 * -3}$

$x = -\frac{12}{-6}$

$x =2$

Substitute $x =2$ in $y =-3x^2 + 12x - 33$

$y = -3*2^2 + 12 * 2 - 33$

$y = -21$

<em>Hence, the maximum is -21.</em>

8 0

3 years ago

If 7 is added to a number then it becomes at least 15 what is the number?

Whitepunk [10]

You’re answer will be 8 ;)

8 0

4 years ago

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A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. How long does each side of the

erastovalidia [21]

11 on all sides
hope this helps

3 0

3 years ago