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3 years ago

The graph of the function, f(x)=-2x^2+6x-3,opens up or down and has a minimum or maximum value.

Mathematics

1 answer:

Volgvan3 years ago

5 0

it opens down because before x^2 is -2 (if it would be 2, it would open up)...and function, which opens up has a maximum value every time

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What is the measurement of angle ABC?

MA_775_DIABLO [31]

The measurement of angle ABC is

B) 217 1/2

Hope this helps...

8 0

4 years ago

In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep

Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.

7 0

3 years ago

The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of

LenaWriter [7]

Answer:

<h3>5 years</h3>

Step-by-step explanation:

To get the median of the ages given

2, 4, 5, 6, 7, 8, 8, 8, 0, 3, 5, 9, 1, 4, 7, 6, 1, 2, 4, 4, 8

First we will need to rearrange the median ages in ascending order (from lowest to highest)

0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9

Next is to locate the middle value of the arranged data

(0, 1, 1, 2, 2, 3, 4, 4, 4, 4), 5, (5, 6, 6, 7, 7, 8, 8, 8, 8, 9)

The total values in both parenthesis are the same(10 in numbers) leaving 5 as the middle number.

Hence the median age of the people in the pool is 5years

5 0

3 years ago

Which is the answer of the following question

fgiga [73]

Answer:

Step-by-step explanation:

<u>Arc length</u>

2πr x 1/4
2 x 3.14 x 16/4
8 x 3.14
<u>25.12 cm</u>

3 0

2 years ago

Which point is on the line of the equation y-4 = -1/2 (x - 2) ?

Gennadij [26K]

Answer:

4.0148 rounded to the nearest thousand is 0, but if you meant rounded to the nearest thousandth, it would be 4.015 because the 8 in the ten thousandth column would cause the 4 in the thousandth column to round up to 5.

Step-by-step explanation:

8 0

3 years ago