Determine the solution to the system of equations given below y=x^2-5x+15

Answer:

[tex]\dfrac{y^2}{36}-\dfrac{x^2}{45}=1.[/tex]

Step-by-step explanation:

Since vertices and foci lie on the y-axis, the equation of the hyperbola is

[tex]\dfrac{y^2}{b^2}-\dfrac{x^2}{a^2}=1.[/tex]

If the vertices are at points (0,±6), then [tex]b=6.[/tex]

If the foci are at points (0,±9), then [tex]c=9.[/tex]

Note that

[tex]c^2=b^2+a^2,[/tex]

then

[tex]9^2=6^2+a^2,\\ \\a^2=81-36,\\ \\a^2=45.[/tex]

The equation of the hyperbola is

[tex]\dfrac{y^2}{36}-\dfrac{x^2}{45}=1.[/tex]

the factored form is

-25xy(-4z+3)

Answer: 891

Step-by-step explanation

99x9=891

I believe The answer is 891!

Answer: The answer is 3m/s

Step-by-step explanation:

Answer: The runner’s average speed is 3 m/s.

Step-by-step explanation:

Hi, to solve this problem we have to multiply the length of the track (402.2 meters) by the times that joe ran around it (8.25 times).

So, mathematically speaking:

Now that we have this result, we have to divide it by the time ( 1,119.803 sec), to obtain the speed rate.

In conclusion, the runner’s average speed is 3 m/s.

Feel free to ask for more if it´s necessary or if you did not understand something.

Answer:

im not great at math but i believe the answer is  24mm^2

Step-by-step explanation:

triangle area formula- (B*H)/2

large triangle:

6+4+2=12

H=12

B=5

5*12=60

60/2=30

small trangle:

4*3=12

12/2=6

30-6=24

therefore answer should be 24mm^2

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

Answer:

y = 1, x = 2/5 or (2/5, 1)

Step-by-step explanation:

Since you already know that y = 1, you can substitute 1 into the y of the other equation. So you end up with:

1 = -5x + 3

Then you solve this equation. First you subtract 3 from both sides and get:

-2 = -5x

Then you divide both sides by -5 and get:

2/5 = x

And you already know that y = 1 so your answer is:

x = 2/5, y = 1 or (2/5, 1)

Answer:

The answer is A

Step-by-step explanation:

Hope this helps got it right on the quiz

The length of the wire is bent into a square, making each side equal to 7x/4. The area of a square is found by squaring the length of one side, so the area, as a function of , is (7x/4)^2 or 49x^2/16.

The given information is that the length of the wire is 7x, and it is bent into a square. In a square, all sides are equal. Therefore, we can say that the length of each side of the square is 7x/4.

To find the area of a square, we simply square the length of one side. Thus, the area A of the square, expressed as a function of x, is (7x/4)^2 or 49x^2/16.

Therefore, the question's answer is that the area A of the square can be expressed as the function 49x^2/16.

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Final answer:

To express the area A of a square in terms of z, assuming the wire length is 7z, calculate the side length a as 7z/4 and then square it to get A = (7z/4)². If x is correct and unrelated to z, more information is needed.

Explanation:

To express the area A of a square as a function of z, given that a wire of length 7x is bent into the shape of a square, we follow these steps:

The perimeter of the square is equal to the length of the wire, which is 7x.

Since the perimeter P of a square is 4 times one of its sides a, we can write P = 4a. Therefore, 7x = 4a.

To find the side length a, we divide 7x by 4: a = 7x/4.

The area A of a square is the square of one of its sides, so A = a². By substituting a with 7x/4, we get A = (7x/4)².

Finally, we need to write the equation in terms of z. Here, it seems there might be an issue with the question, as there is no direct relationship provided between x and z. Assuming there's a typographical error and that the wire length is actually 7z, we can write a = 7z/4 and A = (7z/4)².

If x is indeed correct and unrelated to z, more information is required to express A as a function of z.

Answer:

The perimeter of the polygon is [tex]66\ cm[/tex]

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

If the polygon circumscribes the circle

then

AB=AH

GH=GF

EF=ED

CB=CD

therefore

the perimeter is equal to

[tex]P=2(9+12+4+8)=66\ cm[/tex]

Answer:

11 calculators do not weigh more than four pounds.

Step-by-step explanation:

Start off with the basic idea that 16 ounces = 1 pound.

1. Multiply the weight of one calculator by the number of calculators given

11 * 5 = 55 ounces

2. Divide 55 oz by 16 to get the number of pounds

55/16 = 3.4375 lbs.

3. 11 calculators weigh 3.4 pounds which is lower than 4 pounds

Hope this helped :)

Thanks for using Brainly!

Answer:

Yes

Step-by-step explanation:

So one calculator weighs 5 ounces. So if we have 11 we sould times 5 x 11 to equal 55. After, we calculate how many ounces 4 pounds is. If one ounce to a pound is 16 we do 16 x 4 that would equal 64. That is above 55 ounces.

Not what you're looking for? Reply to this question for help. If not, if you have time please hit the thanks. If you think this can help others you can always hit the Brainlist button, none of the things above are needed. :)

Take care, Eric

Answer: $253

Step-by-step explanation:

Answer:

The answer is 253.

Step-by-step explanation:

The probability of drawing a green followed by a black marble from a bag containing 25 marbles without replacement is found by multiplying the individual probabilities of each event. These are 4/25 for the green marble and 7/12 for the black marble after the first draw.

The subject of this question is probability within the field of Mathematics, suitable for a High School level student. The probability of drawing a green and black marble without replacement is a two-step probability problem. Given that there are 5 purple, 2 yellow, 4 green, and the rest black out of 25 marbles, we first need to calculate the total number of black marbles, which is 25 - (5 + 2 + 4) = 14. The probability of drawing a green marble first is 4 out of 25, which simplifies to 4/25. After a green marble is drawn, there are now 24 marbles left in the bag, with 14 being black. Therefore, the probability of then drawing a black marble is 14/24 or 7/12. To find the combined probability of both events occurring sequentially, we multiply the individual probabilities: (4/25) * (7/12). This calculation will give us the final probability of drawing a green and then a black marble without replacement.

Answer: The short answer is that some goals are simply incompatible with each other, like the law in Colorado that raised the minimum wage. That's great for the employees, bad for the employers. Employers, like employees, want to make money and stay in business. The more money each employer has to pay their employees, the higher the prices for certain goods go for that business to stay open.

Step-by-step explanation:

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

[tex]4!=4\cdot3\cdot2\cdot1=24[/tex]

possible ways to do it.

4 quartz equals 16 cups

Answer:

16

Step-by-step explanation:

since the ratio of qrt to cup is 1:4, we can calculate 4:x by doing 4*4

Answer:   [tex]\bold{d)\quad \sqrt{6x^2-1}}[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt{2x-5}\qquad g(x)=3x^2+2\\\\\\f(g(x))=\sqrt{2(3x^2+2)-5}\\\\.\qquad \quad =\sqrt{6x^2+4-5}\\\\.\qquad \quad =\sqrt{6x^2-1}[/tex]

Answer:

2

Step-by-step explanation:

4n + 6 = 12

4n = 6

n = 3/2

4n + 6 = 12

subtract 6 on both sides

4n = 6

divide by 4 on both sides

n=3/2

Answer:

y=x^2

Step-by-step explanation:

That one doesn't make a straight line it makes a parabola.

Answer:

Step-by-step explanation:

-50 plus so above the number so like -51.5

If paul's account balance is less than - $50 the possible balance for Paul's account should be in the range of - $50.9 to - $50.1.

Range defines possible values in between two values that are some distance apart on the number line. The range can also be defined as the possible values from the least value to the greatest value.

Given that Paul's account balance is less than - $50.

∴ The possible balance for Paul's account can be in the range of

- $50.9 to - $50.1 because if he had an amount which is less than - $51 then the given statement should have been mentioned.

learn more about range here :

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Answer: [tex]p=38\°[/tex]

Step-by-step explanation:

By definition, you know that:

[tex](p+29\°)+(7p+27\°)=360\°[/tex]

Therefore, keeping this on mind, you can find the value of p, as following.

- Add the like terms:

[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]

- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.

Therefore, you obtain that the value of p is:

[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]

Answer:

1. 4x, -2y, and 3

2. x and y

3. is 3

4. x

5. Coefficient

6. exponent

7. y*2

8. x to the y

9. no

Step-by-step explanation:

C is the answer.............

Answer:

C. Is you answer

Step-by-step explanation:

What you have to do is you take the second equation and plug it into the y of the first equation to get

-2x^2+-3x^2+5=-5. You will then add the -2x^2 and the -3x^2 together to get

-5x^2+5=-5. You will then minus the 5 from both sides to get

-5x^2=-10. You will then divide the -5 from both sides to get

x^2=2. You will then square root it to get

x=sqrt2 and -sqrt2.

You will then plug the sqrt2 into the second equation into the x like this

y=-3(sqrt2)^2+5. and you answer wil be -1.

So C is your answer.

For this equation I used the fact that S and U are congruent (because Line ur and rs are equal and lines UT and TS are equal. All the interior angles need to add to 360 degrees. U+R+S = 340 so T has to equal 20 degrees.

Answer:14.375

Step-by-step explanation divide it

Answer: I would say Y E because thats the only one that makes sense.

Step-by-step explanation:

Answer:

13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.

Step-by-step explanation:

Given : A radioactive substance has a decay rate of 0.073 per minute.

To find : How many grams of a 120 gram sample will remain radioactive after 30 minutes?          

Solution :

Using decaying formula,  

[tex]y(t)=y_o e^{-rt}[/tex]

Where, [tex]y_o=120[/tex] is the initial amount

r=0.073 is the decay rate

t=30 minute is the time

Substitute the value in the formula,

[tex]y(30)=120\times e^{-0.073\times 30}[/tex]

[tex]y(30)=120\times e^{-2.19}[/tex]

[tex]y(30)=120\times 0.1119[/tex]

[tex]y(30)=13.428[/tex]

[tex]y(30)=13.4[/tex]

Therefore, 13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.

Answer:

13.4

Step-by-step explanation:

Substitute the given values into the formula: A(t)=Pert. Where P is the initial mass, r is the rate of decay, and t is time.  Note, the rate is negative because we are finding the rate of decay.  

A=120e−(0.073)(30)≈13.4

So, about 13.4 grams will remain after 30 minutes.

Answer:

-3.5

Step-by-step explanation: