Which point is the best approximation of the relative maximum of the polynomial function graphed below?

Which sequence of transformations could be used to map triangle MNO onto M"N"O"? T(–2, 4) ry-axis ry-axisT(–2, 4) T(2, –4) T(2,

katrin [286]

Answer:

(A)T(–2, 4) ry-axis

Step-by-step explanation:

The graph showing triangles MNO and M"N"O" is attached below.

From the graph, the coordinates are:

M(5,-4),N(3,-2) and O(1,-3)

M"(-3,0), N"(-1,2) and O"(1,1)

When we <u>transform triangle MNO by (-2,4),</u> we obtain:

M'(3,0), N'(1,2) and O'(-1,1)

Next, we reflect M'N'O' the y-axis.

Note: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.

Therefore:

Reflection of M'N'O' accross the y-axis gives: M"(-3,0), N"(-1,2) and O"(1,1).

Therefore, the sequence of transformations could be used to map triangle MNO onto M"N"O" is T(–2, 4) ry-axis.

The correct option is A.

8 0

2 years ago

If 12% of a number is 24 what is the number Pls Answer fast

Nadya [2.5K]

Answer:

200

Step-by-step explanation:

12% is equal to 12/100

I would set up something like

12/100= 24/x

to get from 12 to 24, you have to multiply by 2.

do the same for 100 so 100 x 2= 200

5 0

3 years ago

Read 2 more answers

A recipe calls for 1/3 cup of grated Parmesan cheese for 8 servings of spaghetti sauce. How many servings can be made with 2 cup

Darya [45]

You can make 48 servings with 2 cups of Parmesan cheese

4 0

3 years ago

A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

So

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

7 0

3 years ago

Evaluate each trigonometric equation for θ.

liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

Sin(x) = opposite/hypotenuse

Cos(x) = adjacent/hypoteouse

Tan(x) = opposite/adjacent

Csc(x) = hypotenuse/opposit

Sec(x) = hypotenues/adjacent

Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

$Hypotenuse = \sqrt{8^{2}+15^{2} }$

$Hypotenuse = \sqrt{64+225}$

$Hypotenuse = \sqrt{289}$

$Hypotenuse = 17$

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0

3 years ago