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Blababa [14]
2 years ago
6

Simplify: -15 + 23r + 9r^2 - 16r + 10

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
8 0

Answer:

9r^2 + 7r - 5

Step-by-step explanation:

You might be interested in
Whats the radius for the circle? x^2+2x+y^2+4y-6=0
MAXImum [283]

Answer:

r = \sqrt{11}

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use (\frac{b}{2} )^{2} to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get (\frac{2}{2} )^{2} =(1)^{2} =1

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get (\frac{4}{2} )^{2}=(2)^{2} =4

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides \sqrt{r^{2}}  =\sqrt{11} to get r = \sqrt{11}

5 0
3 years ago
We draw a card from a standard deck. What is the probability that it is a Jack, Queen, King or it is red.
enyata [817]

Answer:

8/13 chance to get a jack, Queen, King or Red

3 0
3 years ago
Write and equation to find the nth term of each sequence. Then find a24 <br> -4,-9,-14,-19
rjkz [21]

Answer:

arithmetic progression problem

5 0
2 years ago
3. Use method of completing the square to evaluate 2x^2+ 5x = 8​
Zina [86]

Answer:

x= -5-\sqrt{89}/4, - 5+\sqrt{89}/4

Step-by-step explanation:

solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula (the full thing under "answer:" is the exact answer

7 0
2 years ago
A particular brand of gasoline has a density of 0.737 g/ml at 25 ∘c. how many grams of this gasoline would fill a 13.4 gal tank
ruslelena [56]

Given, the density of a particular brand of gasoline = 0.737 g/ml.

13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.

First we will convert 13.4 gallon to ml.

We know that 1 gallon = 3.78541 litre

And 1 litre = 1000 ml

So we can write 1 gallon = (3.78541)(1000) ml = 3785.41 ml.

13.4 gallon = (3785.41)(13.4) ml = 50724.494 ml.

Let's take there is x grams of gasoline

We know that density = (mass/ volume) = \frac{x}{50724.494}

So we can write,

0.737 =\frac{x}{50724.494}

To find x we will multiply both sides by 50724.494. we will get,

(0.737)(50724.494) =(\frac{x}{50724.494}) (50724.494)

(0.737)(50724.494) = x

37383.95 = x

So we have got the required answer.

Mass of gasoline = 37383.95 grams.

5 0
3 years ago
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