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3 years ago

Equation of direct variation involving a common proportion. Then identify the constant of variation

Mathematics

1 answer:

inessss [21]3 years ago

8 0

The equation for direct variation is y=kx where k is the constant of variation.

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Hey can someone help me out

LuckyWell [14K]

Your answer is option C. - 5.

- 30x³ / 6x = - 5x². Your coefficient is - 5

5 0

3 years ago

Cot^2 135-sin210+5cos^2 225

TiliK225 [7]

$\cot135^o=\cot(90^o+45^o)=-\tg45^o=-1\\\\\sin210^o=\sin(180^o+30^o)=-\sin30^o=-\dfrac{1}{2}\\\\\cos225^o=\cos(180^o+45^o)=-\cos45^o=-\dfrac{\sqrt2}{2}$

$\cot^2135^o-\sin210^o+5\cos^2225^o=(-1)^2-\left(-\dfrac{1}{2}\right)+5\cdot\left(-\dfrac{\sqrt2}{2}\right)^2\\\\=1+\dfrac{1}{2}+5\cdot\dfrac{1}{2}=1\dfrac{1}{2}+2\dfrac{1}{2}=4$

Answer: 4.

3 0

4 years ago

The curvature of the Tacoma Narrows Bridge in

8_murik_8 [283]

Answer:

Width of the arch = 105 m

Step-by-step explanation:

Function representing the width of the arch,

f(x) = -0.016(x - 52.5)² + 45

where x = width of the base of the arch or horizontal distance from arch's left end

f(x) = vertical distance of the arch

From the given quadratic function, vertex of the parabola is (52.5, 45).

Coordinates of the vertex represents,

Height of the arch = 45 m

Half of the horizontal distance from the left end = 52.5 m

Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5

= 105 m

Therefore, given bridge is 105 m wide.

4 0

3 years ago

Approximate the real number solution(s) to the polynomial function f(x) = x^3 + 4x^2 + x − 6.

irakobra [83]

Answer:

d. x ∈ {-3, -2, 1}

Step-by-step explanation:

The word "approximate" in the problem statement suggests that the roots may not be integers. Consequently, the solution method of choice is graphing.

A graph shows the solutions to f(x)=0 to be x=-3, x=-2, and x=1, matching selection D.

_____

<em>Comment on the problem statement</em>

Any value of x can be put into the formula and it will be a "solution." For example, f(0) = -6 is a "solution" to the polynomial function. The problem statement is not specific as to the solution(s) sought. We have had to guess that we want values of x such that f(x)=0.

3 0

4 years ago

Mr. Smith has 5 1/2 acres of land for sale. He divided the land into 1/2 acre lots. How many lots are for sale?

r-ruslan [8.4K]

Answer:

11 lots are for sale.

Step-by-step explanation:

This is as simple as:

$5\frac{1}{2} /\frac{1}{2}$

Since Mr. Smith divided the land into 1/2 acre lots, you'd just divide it by the amount he has.

6 0

3 years ago