The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?

Answer:

Two solutions:

x = 5 and x = -3

Step-by-step explanation:

Simplify:

x^{2} - 2x = 15

-15              -15

x^{2} - 2x -15 = 0

Find what numbers multiplied by eachother equal -15 and also add to -2:

-5 * 3 = -15

-5 + 3 = -2

Rewrite equation and put each expression equal to 0:

(x - 5)(x + 3) = 0

x - 5 = 0      x + 3 = 0

  +5    +5         -3     -3

x = 5            x = -3

Answer:

Step-by-step explanation:

AN Example of every way to write a ratio is:

which one you choose will depends on the problem or situation

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Answer:

(5, -7).

Step-by-step explanation:

Solution is the point of intersection.

(5, -7).

Answers:

=========================================

Explanation:

The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.

For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.

The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]

As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.

Example: side AB = 7 units, side A'B' = 49 units

Answer: 30.5

Step-by-step explanation:

Answer:

x≥26667

Step-by-step explanation:

let x= her sales

so the money she gets from her sales is .03x

if we wants at least 2900 we can write

2100+.03x≥2900

Solve for x

.03x≥800

x≥26666.6667

round up (because you can make a fraction of a sale) to get

x≥26667

Answer:

Yes it is a function

Hope its help you ☺

Answer:

20%

Step-by-step explanation:

$187.50 - 20% = $150.00

Answer:

Hello! answer: 21.4

Hope that helps!

Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]

[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]

Using trigonometry ratio, we have:

[tex]|D | = 1[/tex]

(b)

[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 2 * 2 - 0 * 0[/tex]

[tex]|D| = 4 - 0[/tex]

[tex]|D| = 4[/tex]

(c)

[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]

The determinant of the matrix is:

[tex]|D| = 0 * 0 -(-i * i)[/tex]

[tex]|D| = 0 +i^2[/tex]

[tex]|D| = i^2[/tex]

In complex numbers

[tex]i^2 = -1[/tex]

So:

[tex]|D| = -1[/tex]

So, the order of the determinants is: c, a, b

Answer:

Essential Elegance Candle

Step-by-step explanation:

Ratios are Lavender:Vanilla

For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5

Answer: 2/3

Step-by-step explanation:

there are 24 pets total (count all of the dots on the plot)

16 students have 2 or more pets (count the dots from point 2 until 6)

your fraction is 16/24

16/24 is 2/3 simplified

hope this helps

Answer: [tex]32.909\ \text{ounce}[/tex]

Step-by-step explanation:

Given

3.25 cm long segment of rope weighs [tex]61.40\ gm[/tex]

Using unitary method

1 cm of a segment measures

[tex]\dfrac{61.40}{3.25}=18.892\ gm[/tex]

[tex]1\ cm\equiv 18.892\ gm[/tex]

converting cm to inch and gm to ounce

[tex]\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}[/tex]

for 19.45 in., weight is

[tex]\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}[/tex]

Answer:

i got it right⬇

Answer:

Step-by-step explanation:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Answer: angle f is 31.788 and angle d is 58.212

Step-by-step explanation:I need one more brainliest for next rank I’d appreciate it

Answer:

0.5 or 1/2

Step-by-step explanation:

each number is half of the bigger triangle. so the answer should be half or 0.5.

EX: 48 x 0.5 = 24

Answer:

[tex]hypotenuse = \sqrt{ {height}^{2} + {adjacent}^{2} } \\ = \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{3721} \\ = 61 \: inches[/tex]

hypotenuse=

height

2

+adjacent

2

=

11

2

+60

2

=

3721

=61inches

Answer:

5 inches

Step-by-step explanation:

Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.

Then you cube route 125 because its cubic inches.

[tex]\sqrt[3]{125}[/tex] = 5

So I would think its five inches but I may be wrong <3

Answer:

144

Step-by-step explanation:

((9*6/2)*4)+(6*6)=144

Answer:

77 ft.

Step-by-step explanation:

7*8+7*3=77

Answer:

Area = 634.21 square metre

Step-by-step explanation:

Area of shaded region = Area of the circle - Area of the sector

[tex]Area \ of \ the \ circle = \pi r^2 = 225 \pi\\\\Area \ of \ the \ sector = \pi r^2 \frac{ \theta}{360} = \pi \times 225 \times \frac{37}{360}[/tex]

[tex]Area \ of \ shaded \ region = 225 \pi - (225 \pi \times \frac{37}{360})[/tex]

                                   [tex]= 225 \pi (1 - \frac{37}{360})\\\\= 225 \pi \times 0.89722\\\\=634.21 m^2[/tex]

Answer:

53 pushes

Step-by-step explanation:

Total Volume of soap = 474 mL

Volume per push = 8mL

Mimimum volume required = 50mL

The equation which represents the number of push, x that can be made :

Total volume = minimum volume + (volume per push * number of pushes)

Total volume = 50 + (8 * x)

474 ≤ 50 + 8x

474 - 50 ≤ 8x

424 ≤ 8x

53 ≤ x

The number of pushes that can be made = 53

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1[tex]\sqrt{2}[/tex]=x/16

x=16/[tex]\sqrt{2}[/tex]

x=8[tex]\sqrt{2}[/tex]

Answer:

children = 67

Step-by-step explanation:

two equations can be derived from this question

x + y = 85 equation 1

3x + y = 121 equation 2

where x = number of adults

y = number of children

subtract equation 1 from 2

2x = 36

x = 18

substitute for x in equation 1

y = 85 - 18 = 67

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

Answer:

(i think)

5q3+25q2

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.a

x2+bx+c

5⋅1(q2q)+25q2

Simplify each term

answer- 5q3+25q2

Answer:

9

Step-by-step explanation:

Raise 3 to the power of 2.

Answer:

x=5

Step-by-step explanation:

to find volume: length x width x height

the first rectangular prism volume: 15*5*5= 375 in³

because they have the same volume, you would set the other rectangular prism equal to 375: 25*3*x=375

75*x=375

divide both sides by 75: x=5

Answer:

its 2/7 for the day and 1/12 for the month

Step-by-step explanation:

the probability of picking both of them is 2%