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3 years ago

Y=-3x2 + 18x + 10 what is the axis of symmetry step by step?

Mathematics

1 answer:

postnew [5]3 years ago

8 0

Answer and Step-by-step explanation:

$\frac{-b}{2a}$ is the equation to find the axis of symmetry of a quadratic equation.

$y = -3x^{2} + 18x + 10$

-3 = a

18 = b

10 = c

Now we plug the values into the equation.

$\frac{-(18)}{2(-3)} \\\\\\\frac{-18}{-6} \\\\\\3$

The axis of symmetry is on the line x = 3.

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Please help explanation if possible

Andrej [43]

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Answer:

y -4 = -2(x -(-11))

Step-by-step explanation:

The point slope formula is ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

So, the boxes in order from left to right are k, m, h.

The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.

Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...

$y-\boxed{4}=\boxed{-2}(x-\boxed{-11})$

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2 years ago

Y=x-6 and y=8x+1 need help

Alex73 [517]

8x+1=x-6
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4 0

3 years ago

Read 2 more answers

The coordinates of point A are (p, q) and coordinates of point B are (p+2q, q+2p). Provide your complete solutions and proofs in

Dafna1 [17]

Answer:

The mid-point (p + q , q + p) of AB is the same distance from the x-axis and the y-axis

Step-by-step explanation:

* Lets explain how to solve the problem

- Any point will be equidistant from the x-axis and the y-axis must have

equal coordinates

- Ex: point (4 , 4) is the same distance from the x-axis and the y-axis

because the distance from the x-axis to the point is 4 (y-coordinate)

and the distance from the y-axis and the point is 4 (x-coordinate)

- If (x , y) is the mid-point of a segment its endpoints are

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then

$x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

* Lets solve the problem

∵ Point A has coordinates (p , q)

∵ Point B has coordinates (p + 2q , q + 2p)

- The mid-point of AB is (x , y)

∵ $x=\frac{p+p+2q}{2}$

∴ $x=\frac{2p+2q}{2}$

- Take 2 as a common factor from the terms of the numerator

∴ $x=\frac{2(p+q)}{2}$

- Divide up and down by 2

∴ x = p + q

∵ $y=\frac{q+q+2p}{2}$

∴ $y=\frac{2q+2p}{2}$

- Take 2 as a common factor from the terms of the numerator

∴ $y=\frac{2(q+p)}{2}$

- Divide up and down by 2

∴ y = q + p

∴ The mid point of AB is (p + q , q + p)

- p + q is the same with q + p

∵ The x-coordinate of the mid point of AB is p + q

∵ The y-coordinate of the mid point of AB is q + p

∵ p + q = q + p

∴ The coordinates of the mid-point of AB are equal

- According the explanation above

∴ The mid-point (p + q , q + p) of AB is the same distance from the

x-axis and the y-axis

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3 years ago

Find the value of x that makes m ∥ n

AURORKA [14]

Those two angles are alternate interior angles, so they must be congruent.

3x = 2x + 20

x = 20

5 0

3 years ago

Read 2 more answers

Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily p

mario62 [17]

Answer:

About $241.11

Step-by-step explanation:

So, Karen receives 18.2 cents per paper.

She delivers 124 paper per day.

In other words, on days other than Sunday, she will make a total of:

$18.2(124)=2256.8\text{ cents}$

On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:

$70(151)=10570\text{ cents}$

Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:

$6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11$

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3 years ago