Find the value of a, b, and c. 1. a - (-8) = 12 2. b+12 = 10 3. C-3 = 5

determine whether the given ordered pair is a solution to the system of equations. 6x-2y=24 -3x+3y=24 and (10,18) yes, it is a s

Anika [276]

Answer:

I love algebra anyways

the ans is in the picture with the steps

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

7 0

3 years ago

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his exper

SpyIntel [72]

The population of the bacteria after 7 hours is 230 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 200 bacteria, hence

a = 200

The bacteria grow at a rate of 2% per hour, hence:

b = 100% + 2% = 1.02

The exponential equation becomes:

y = 200(1.02)ˣ

After 7 hours:

y = 200(1.02)⁷ = 230

The population of the bacteria after 7 hours is 230 bacteria.

Find out more at: brainly.com/question/12490064

6 0

2 years ago

Find a number in the sequence 1) 100, 400, 610, ?, 652 2) 342, 128, ?, 26

dsp73

Answer:

1. 460

2. 216

Step-by-step explanation:

1.

From the series ,

100 , 400 , 610 , ? , 652

Writing the the digits in the revere order , i.e

001 , 004 , 016 , ? , 256

Now,

Now , getting the number in the form of the multiple of 4 as -

1 , 1 * 4 = 4 , 4 * 4 = 16 , ? , 64 * 4 = 4

Hence , the value for ? = 16 * 4 = 64 .

Again , reversing 64 to get the missing number of the series -

460 .

Hence ,

The value for ? is 460 .

2.

From the series ,

342 , 128 , ? , 26

Now, multiplying the first digit with the second digit and merging it to the product of the second and third digit -

3 * 4 and 4 * 2 , 1 * 2 and 2 * 8 , ?

128 , 216 , ?

Hence ,

The value for question mark = 1 * 2 and 1 * 6 = 216

Hence ,

The value for ? is 216 .

4 0

3 years ago

Cos^-1(-x)=-Cos^-1x for -1<x<1 TRUE OR FALSE?

VMariaS [17]

We are given

$cos^{-1}(-x)=-cos^{-1}(x)$

Firstly, we will simplify left side

and we will check whether it is equal to right side

Left side:

Let's assume y left side expression

$y=cos^{-1}(-x)$

now, we can take cos on both sides

$cos(y)=cos(cos^{-1}(-x))$

we can simplify it

$cos(y)=-x$

Right side:

Let's assume y left side expression

$y=-cos^{-1}(x)$

Multiply both sides by -1

$-y=cos^{-1}(x)$

now, we can take cos on both sides

$cos(-y)=cos(cos^{-1}(x))$

we can simplify it

$cos(-y)=x$

$cos(y)=x$

we can see that

both sides cos(y) value is different

so, this is FALSE.........Answer

5 0

3 years ago

Read 2 more answers

Simplify

masya89 [10]

Answer will be 1/17

6 0

4 years ago