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2 years ago

Evaluate using suitable identity:c). 98²

Mathematics

2 answers:

FrozenT [24]2 years ago

7 0

The answer is 98 x 98 =9604

Vesnalui [34]2 years ago

6 0

Step-by-step explanation:

<h3><u>★ Solution :-</u></h3>

$\sf \longmapsto 98^2$

$\sf \longmapsto (a - b)^2 = a^2 - 2ab + b^2$

Here,

a = 100
b = 2

$\sf \longmapsto (100 - 2)^2 = 100^2 - 2(100)(2) + 2^2$

$\sf \longmapsto 100^2 - 2(100)(2) + 2^2$

$\sf \longmapsto 10000 - 400 + 4$

$\sf \longmapsto 9606$

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Given h(x) = 2x - 3 , solve for when h(x) = - 3 .

FrozenT [24]

Answer:

h(x)=-3;x=0

Step-by-step explanation:

When given h(x), you are in effect, being given the output of the function.

So, placing h(x)=-3 in place for h(x)

We get

-3=2x-3

Where -3+3=2x

0=2x

x=0

So, x=0

8 0

3 years ago

1. Lisa's parents gave her $1000 for her high school graduation. She put her money into a savings account that earned 7.5% annua

goblinko [34]

Answer: 2. Z=5000-2713.5=$2286.5

Step-by-step explanation:

Sub y=2713.5 into z=5000-y

5 0

3 years ago

Read 2 more answers

A high school basketball team notices that attendance at its games changes at a constant rate based on the number of losses the

timurjin [86]

Answer:

The team looses 16 people/audience with each loss.

Step-by-step explanation:

When the team had lost eight games, 295 people attended the next game.

When the team had lost 12 games, 231 people attended the next game.

Slope = $(295-231)/(8-12)$

= $64/-4$ = -16

Therefore, the team looses 16 people/audience with each loss.

And the attendance loss is 16 times as great as the number of games lost/losses.

8 0

3 years ago

The function is used to convert temperature from Celsius (C) to Fahrenheit (F). The function C(K) = K − 273.15 is used to conver

jeka94

Answer:

The correct function for converting temperature from Kelvin to Fahrenheit is $F(K) = \frac{9(K - 273.15)}{5} + 32$

Step-by-step explanation:

Kelvin to Celsius function:

The function to convert a temperature from degrees Kelvin to degrees Celsius is given by:

$C(K) = K - 273.15$

Celsius to Fahrenheit function:

The function to convert a temperature from degrees Celsius to degrees Fahrenheit is given by:

$F(C) = \frac{9C}{5} + 32$

Which is the correct function for converting temperature from Kelvin to Fahrenheit?

In the equation to find F(C), we use C = C(K). So

$F(C) = \frac{9C}{5} + 32$

$F(C(K)) = \frac{9(K - 273.15)}{5} + 32$

$F(K) = \frac{9(K - 273.15)}{5} + 32$

The correct function for converting temperature from Kelvin to Fahrenheit is $F(K) = \frac{9(K - 273.15)}{5} + 32$

8 0

3 years ago

Plzzz help me I don't get it!!!!!

igor_vitrenko [27]

The answer is 4.

Explanation:

Well, let's break this into pieces.

First, let's work on the first term.

3^8 = 6,561
2^-5 = 1/2^5 = 1/32
9^0 = 1

Multiply all those together, and you get 6,561/32.

Then, if you set that fraction to the power of -2, you get 1,024/43,046,721

Now, let's take the middle term.

2^-2 = 1/4
3^3 = 27

Multiply them together to get 1/108.

Then, set the fraction to the power of 4 to get 1/136,048,896

Next, let's focus on the last term.

3^28 = 22,876,792,454,961

Finally, we have to multiply the terms together.

1,024/43,046,721 · 1/136,048,896 · 22,876,792,454,961

This equals 23,425,835,473,880,000/5,856,458,868,470,016, which can be simplified (quite nicely) to a final answer of 4.

4 0

4 years ago

Evaluate using suitable identity:c). 98²​

Evaluate using suitable identity:c). 98²