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3 years ago

(x-8)(x+3)/(x+9)(x-1) simplified?

1 answer:

6 0

$\frac{(x - 8)(x + 3)}{( x + 9)(x - 1)} =$
$\frac{x {}^{2} + 3x - 8x - 24}{x {}^{2} - x + 9x - 9 } =$
$\frac{x {}^{2} - 5x + 24 }{x {}^{2} + 8x - 9 }$

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When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make

castortr0y [4]

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

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2 years ago

Jessica jogs on a path that is 25 km long to get to a park that is south of the jogging path. If it takes Jessica 2.5 hours then

GalinKa [24]

10 km per hour. hope this helps partially

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3 years ago

Read 2 more answers

. 9 triangles per 6 circles Triangles Circles 9 | 24 8 30 | 50 atio.

professor190 [17]

Answer: 9840

Step-by-step explanation:

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3 years ago

Pierre uses 30 grams of chocolate to make

Travka [436]

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Step-by-step explanation:

Given,

Chocolate used to make 200 ml of chocolate sauce = 30 grams

Ratio of chocolate to milliliters of chocolate sauce = 30:200

Let,

x be the milliliters of sauce made from 450 grams of chocolate

Ratio of chocolate to ml of sauce = x:450

Using proportion;

Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce

$30:200::450:x$

Product of extreme = Product of mean

$30*x=200*450\\30x=90000$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90000}{30}\\x=3000$

450 grams of chocolate will make 3000 milliliters of chocolate sauce.

We will convert this in liters.

1 liter = 1000 ml

3000 ml = $\frac{3000}{1000}$ = 3 liters

Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

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3 years ago

What’s is a angle defined

Mashutka [201]

Answer:

the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

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3 years ago