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3 years ago

2 The following functions are equivalent.

Mathematics

1 answer:

uysha [10]3 years ago

8 0

2x2 − 12x + 21. Axis of symmetry. 2.

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Distribute 5 (m+6) please and thank you

antiseptic1488 [7]

Step-by-step explanation:

5 (m+6)

= 5m+5×6

=5m+30

5 0

3 years ago

Read 2 more answers

The girls and boys' basketball teams sponsored a car wash that made $109. There were twice as many girls as

V125BC [204]

Answer:

Boys - 36$ 33 cents

Girls - 72$ 67 cents

Step-by-step explanation:

Boys x

Girls 2x

Total 109

2x+x=109

3x=109/:3

X=36,3333

Boys x =36$ 33c

Girls 2x= 72,666= 72$ 67c

7 0

3 years ago

Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi

natta225 [31]

Answer:

b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

The given conic has equation;

$x^2-5x+y^2=3$

We complete the square to obtain;

$(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}$

This is a circle with center;

$(\frac{5}{2},0)$

This implies that;

$x=\frac{5}{2},y=0$

When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

The new center is obtained using;

$x'=x\cos(\theta)+y\sin(\theta)$ and $y'=-x\sin(\theta)+y\cos(\theta)$

We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

$x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}$

The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

Expand;

$(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}$

Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

8 0

3 years ago

The probability of winning a school raffle is 2%. What is the probability of not winning the raffle?

xeze [42]

Answer:

98%

Step-by-step explanation:

If the probability of winning a school raffle is 2%, the probability of not winning the raffle would be 98%.

7 0

2 years ago

Which situation is an example of exponential decay?

marshall27 [118]

Answer:

Half Life

Step-by-step explanation:

Cells decay by half of how much they decayed last time. This is an example of exponential decay.

4 0

3 years ago