Helppppppppp i will give points

HELP I NEED THIS FOR TODAY!! 100 points

natka813 [3]

The solutions of the given equations are given by equating the

variables to gives;

First part; 4.00 seconds

Second part; (0, -6) and (1, -5)

Third part; (4, 11) and (0, 7)

Fourth part: y = x² + 3·x + 2; x + y = 2

<h3>How can the (common) solution be found?</h3>

First part;

The given functions are;

y = -3·x² + 24·x + 3, and y = -4·x² + 25·x + 15

When the balloons collided, we have;

The height are equal, which gives;

y = y

-3·x² + 24·x + 3 = -4·x² + 25·x + 15

-3·x² + 24·x + 3 - (-4·x² + 25·x + 15) = x² - x - 12 = 0

Which gives;

x² - x - 12 = (x - 4) × (x + 3) = 0

x = 4, and x = -3

The time at which the balloon collide at the highest point is therefore;

At the time, x =<u> 4.00 seconds</u>

Second part;

The given system of equations are;

x - y = 6

y = x² - 6

y = x - 6

Which gives;

x - 6 = x² - 6

x = x²

Which gives;

x = 0 or x = 1

Similarly, we have;

x = y + 6

Which gives;

y = (y + 6)² - 6

y² + 11·y + 30 = 0

(y + 5)·(y + 6) = 0

Which gives;

y = -5, or y = -6

When y = -5, we have; x = -5 + 6 = 1

The solution are therefore;

(0, -6) and (1, -5)

Third part;

The equations are; y = x + 7 and y = x² - 3·x + 7

At the solution, the u-values are equal, which gives;

y = y

x + 7 = x² - 3·x + 7

x² - 3·x + 7 - (x + 7) = 0

x² - 4·x = 0

x·(x - 4) = 0

x = 4, or x = 0

When x = 4, y = 4 + 7 = 11

When x = 0, y = 0 + 7 = 7

The solutions are located at points;

(4, 11) and (0, 7)

Fourth part;

Given that the point of intersection of the line and the quadratic function

is the point (2, 0), we have;

On the linear function, when y = 0, x = 2

The possible linear function functions is therefore;

x + y = 2

From the quadratic function that accompanies the above linear function, we have;

y = x² + 3·x + 2

When x = 0, y = 0² + 3×0 + 2 = 2

Therefore;

The correct option is; y = x² + 3·x + 2, and x + y = 2

Learn more about the solutions of equations here:

brainly.com/question/24400554

5 0

3 years ago

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t

hoa [83]

Answer:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

Step-by-step explanation:

Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.

Together, the classes sold 60 items, so

x + y = 60

Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.

Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.

Together, the classes earned $88.20 for their school, so

1.55x + 1.40y = 88.20.

You get the system of two equations:

$\left\{\begin{array}{l}x+y=60\\ \\1.55x+1.40y=88.20\end{array}\right.$

From the first equation:

$x=60-y$

Substitute it into the second equation:

$1.55(60-y)+1.40y=88.20\\ \\93-1.55y+1.4y=88.2\\ \\-0.15y=88.2-93\\ \\-0.15y=-4.8\\ \\0.15y=4.8\\ \\15y=480\\ \\y=32\\ \\x=60-32=28$

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.

8 0

3 years ago

A clothing store used the sign shown below advertise a discount on shirts buy two shirts get the third half off.ky buys three sh

harkovskaia [24]

It Should be A.$41.99

4 0

3 years ago

Read 2 more answers

A spanish class has a total of 33 students. The number of males is 17 more than the number of females. How many males and how ma

andrezito [222]

Answer:

25 males and 8 females.

Step-by-step explanation:

If x is the number of males and y = number of females we have the system:

x + y = 33

x - y = 17 Adding:

2x = 50

x = 25

so y = 33 - 25 = 8.

3 0

4 years ago

can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'

baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

$\frac{8}{100}=0.08$ 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

$0.08(8.45)$ 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

$\frac{15}{100}=0.15$

and multiply it by the original bill.

$0.15(8.45)=1.2675$ . Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

$8.45+1.27=9.72$

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

$\frac{15}{100}=0.15$

Multiply by the new bill (because this is the one that includes tax)

$0.15(9.13)=1.3695$ Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0

3 years ago