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Diano4ka-milaya [45]

3 years ago

11

Describe the translation of f(x)=|x|

1 answer:

mart [117]3 years ago

7 0

Answer: 5 units down, 3 units up.

Step-by-step explanation: at the translation, the line is at 5, -3, putting the translation at 5 units right, 3 units up.

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Find the area of the figure below:

SpyIntel [72]

The total area is 407.4262m²

3 0

1 year ago

Use the following steps to prove that log b(xy)- log bx+ log by.

borishaifa [10]

Answer with Step-by-step explanation:

a. $x=b^p$

$y=b^q$

Taking both sides log

$log x=plog b$

Using identity: $logx^y=ylogx$

$p=\frac{logx}{log b}=log_b x$

Using identity: $log_x y=\frac{log y}{log x}$

$log y=qlog b$

$q=\frac{log y}{log b}=log_b y$

b. $xy=b^pb^q$

We know that

$x^a\cdot x^b=x^{a+b}$

Using identity

$xy=b^{p+q}$

c. $log_b(xy)=log_b(b^{p+q})$

$log_b(xy)=(p+q)log_b b$

Substitute the values then we get

$log_b(xy)=(log_b x+log_b y)$

By using $log_b b=1$

Hence, $log_b(xy)=log_b x+log_b y$

3 0

3 years ago

Osborne invested $17,000 in stocks and bonds.

Pani-rosa [81]

SYSTEM OF EQUATIONS

S+B = 17000
0.1S+0.07B=1280

Multiply the first equation by 0.1 and subtract the second equation

0.03B=420
B=14,000
S=3,000

6 0

2 years ago

If x equals a real number, x^0 equals what?

Stels [109]

Hey there!

$x^0$

Anything to the power of 0 is 1. So that means x can be equal to any number. Let's say 1^0, it will still equal 1. 2^0 is also equal to 1. X is therefore not a number since it can be anything.

$x^0=1$

Hope this helps!

$AT2309$

8 0

3 years ago

3/8(n+10)=6<br> what does n=

katrin2010 [14]

$\dfrac{3}{8}(n+10)=6|\cdot8\\
3(n+10)=48\\
3n+30=48\\
3n=18\\
n=6
$

3 0

3 years ago