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3 years ago

Simplify to create an equivalent expression. 2(3y+6)−3(−4−y)

Mathematics

2 answers:

anygoal [31]3 years ago

8 0

Answer:

9y+24

Step-by-step explanation:

svp [43]3 years ago

4 0

Answer:

9y+24

Step-by-step explanation:

2(3y+6)−3(−4−y)

Distribute

6y +12 +12 +3y

Combine like terms

9y+24

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Cual ecuacion representa un ejemplo de la

Katarina [22]

Answer:

B) 6(x+2y) + 4 = 6x + 12 y + 4

6 0

3 years ago

What happens when you have a square root on top of another square root?

worty [1.4K]

Just put the numbers under one square root symbol and try to simplify.

3 0

3 years ago

Winston goes to the store and buys a garden statue for $30. The store has sales tax rate of 5%. How much tax will Winston have t

Over [174]

Answer: 31.50

Step-by-step explanation: 30$ = 3,000 cents, 5 percent of 3,000 = 150 cents, 150 cents = 1.5$

1.50 + 30.00 = 31.50

im not good at decimals sorry if this is wrong ;_;

4 0

3 years ago

Given y = log3(x + 4), what is the range?

lora16 [44]

Answer:

The range is all real numbers.

The domain is all reals numbers that are greater than -4.

Step-by-step explanation:

$y=\log_3(x+4)$ only exists when $x+4$ is positive.

You can take the log of a negative or 0 number.

So $x+4>0$ implies $x>-4$ . (I just subtract 4 on both sides.)

So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.

Now the range. The range is where the curve exist for the y-values.

The equivalent exponent form of $y=\log_3(x+4)$ is $3^{y}=x+4$

We can solve this for x be subtract 4 on both sides:

$x=3^y-4$

Now here y can be anything; there are no restrictions on the exponent.

Also if you look at the graph of $y=\log_3(x+4)$ you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).

Let's think about the inverse I found above a little more (I'm going to swap x and y).

$y=3^x-4$ .

If we look at the domain and range of this we can just swap it to get the domain and range of $y=\log_3(x+4)$ .

$y=3^x-4$ is an exponential function of 3^x that has been moved down 4 units.

The range since it has been moved down 4 units is $(-4,\infty)$ .

The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.

So swapping these to find the domain and range of $y=\log_3(x+4)$ :

Domain: $(-4,\infty)$

Range : $(-\infty,\infty)$

4 0

3 years ago

Simplify 5^3/5^7 leaving your anwser in index form

Wewaii [24]

Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer: =1/625 (Decimal: 0.0016)

Please mark brainliest

<em><u>Hope this helps.</u></em>

6 0

3 years ago