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7nadin3 [17]
1 year ago
6

Which equation represents a graph with a vertex at (1,-6)?

Mathematics
1 answer:
aivan3 [116]1 year ago
3 0

Answer:

B.y = 3x2 - 6x - 3 is the second option of the options provided as the solution.

Write y+6=3(x2-1)2=> y+6=3x2-6x+3=> y=3x2-6x-3 as the justification.

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Consider the function y = acos(bx), where a > 0 and b > 0. Which change affects the locations of the x-intercepts of the g
Morgarella [4.7K]

Answer:

The correct option is;

Decrease b.

Step-by-step explanation:

The given information are;

The function in the question is given by the equation, y = a·cos(b·x)

Where;

a > 0 and b > 0

The location of the x-intercept is given by the values of x when y = 0 which are obtained as follows;

When y = 0, y = a·cos(b·x) = 0

Therefore;

cos(b·x) = 0/a = 0

∴ b·x = cos⁻¹(0) = π/2, 3·π/2, (4·n×π + π)/2

Therefore, as b decreases, x increases.

8 0
3 years ago
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I don't understand how to answer this​
IgorLugansk [536]

Answer:

\large\boxe{D)\ \dfrac{1}{2}\pi\ feet}

Step-by-step explanation:

Step 1:

Calculate the circumference of both circles.

The formula of a circumference:of a circle with radius r:

C=2\pi r

The circle R:

C_R=2\pi\left(\dfrac{2}{3}\right)=\dfrac{4\pi}{3}\ ft

The circle S:

C_S=2\pi\left(\dfrac{3}{4}\right)=\dfrac{3\pi}{2}\ ft

The length of the intercepted arc for circle R is

l=\dfrac{4\pi}{9}\ ft

Step 2:

Calculate what the part of the circumference of the circle R is the intercepted arc:

\dfrac{4\pi}{9}:\dfrac{4\pi}{3}=\dfrac{4\pi}{9}\cdot\dfrac{3}{4\pi}=\dfrac{1}{3}

The same length of the circumference of the circle S is searched for the length of the intercepted arc for circle S.

Step 3:

Calculate the length of the intercepted arc for circle S:

\dfrac{1}{3}\cdot\dfrac{3\pi}{2}=\dfrac{1}{2}\pi\ ft

4 0
3 years ago
Write the equation of the line, in slope-intercept form, with the following information: slope: 1/3 y-intercept: (0, 2)​
sp2606 [1]

Answer:

y=1/3x+2

Step-by-step explanation:

to put it in y=mx+b slope is m and b is the y intercept

6 0
3 years ago
How are volatility and risk related in an investment ​
AleksAgata [21]

Answer:

Volatility - the measure of how far the price of an investment moves - is sometimes low, sometimes high, but always a natural part of investing. Risk is the likelihood of an investment losing value, adjusted for inflation, over a longer period of time.

3 0
3 years ago
Billy started with 2 poems in his journal. Then he started writing 4 poems each day. Which of the following graph represents Bil
Mama L [17]
The equation would be y = 4x + 2 so just look with a graph that has a y-intercept of two, as well as moves up four and up 1 each time.

x / y
0 / 2
1 / 6
2/ 10
3 / 14
4 / 18
5 / 22
6 / 26
7 / 30
8 0
3 years ago
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