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First, set up the system: 1x + 24 = y, 3x + 14 = y. Substitute 3x+14 for y in the first equation and you get 1x+24 = 3x+14. From here, just solve the equation. You get that 2x = 10, or x = 5. There will be 5 roses. The total cost can be found by plugging in 5 for x, and you get that the total cost is $29.

plz help 

you got it correct! yay

its basically saying solve for a when b=3

2a -3(3^2)+7=90

2a=110

a or k  = 55

the shortest distance is always a straight line.

thus when x=0 it will be a straight line to your graph

when x=0, y= -1/16 or y=1/16 

because  its a parabola its symetric

but distance is always positive so 1/16

whats 100 x 9865

This is a quadratic equation, so we can solve for all of this with a graph!

sorry i cant include an image but you can graph it yourself on desmos or some other calculator

the initial height is 7 (we see this from the equation, the c therm is the y intercept (initial height))

the cannonball will hit the ground at the positive x intercept, which is (2.1,0)

the maximum height is (0.9,21.1)

hope this helps!

we can actually rearrange this to be a quadratic equation. We move 9,x^2, and x^3 to the left side, and we get that x^2 - 2x - 4 = 0. This is easy to solve with the quadratic formula and we get that the roots are x = 1 + sqrt5, x = 1-sqrt5

we now have that the roots are irrational, the squares of the roots are 6+2sqrt5 and 6-2sqrt5

finally we have that the cubes of the roots are also irrational, 16-8sqrt5 and 16+8sqrt5

First we set up the system of equations

let x be games, and y be rides

we then have 5x + 7y = 43.75 and 10x+2y = 27.50

we then get that -12y + 87.5 = 27.5, and find y = 5.

we can now just plug in y in the first equation and we will find that x = 1.75

our final answer is: a game costs $1.75, and a ride costs $5.00

hope this helps!

webcalc is not letting me upload images, so i will just give an answer without a graph :(

after graphing you find that the closest distance to the origin and a point on the graph is 1/16

1 - [(3/12) (2/11) (1/10)] = 1 / 220

2 - [+ 3 (3/12) (2/11) (9/10)] = 27 / 220

3 - [+ (1/8 - (1/8) (3/12) (2/11) (1/10))] = 219 / 1760

4 - [- (1/8) 3 (3/12) (2/11) (9/10)] = - 27 / 1760

5 - The probability is: [1 / 220  +  27 / 220  +  219 / 1760]  -  27 / 1760 = 13 / 55

\((2x+3y)^{2}=4x^{2}+12xy+9y^{2}=4x^{2}-60+9y^{2}=4\)

\(4x^{2}+9y^{2}=64.\)

Solving the system (2x + 3y)^2 = 4 and xy = -5, we get x = -(sqrt(14) + 1)/2 and y = (sqrt(14) - 1)/3.

Then 4x^2 + 9y^2 = 4*(-(sqrt(14) + 1)/2)^2 + 9((sqrt(14) - 1)/3)^2 = 30.

I could only think of three, 12, 21, and 111. Not sure if there's more though..

3,000  x  0.056 ==$168.00 - simple interest for 1 full year.

336.00 / 168.00==2 years - it takes to earn $336 simple interest.

The solution to this inequality is -5 is less than x, less than or equal to -5

first we have 0 ≤ -2+6 and -2x+6<16
combine the intervals:
x ≤ 3and x > -5

A) 0, because they cancel each other out. (the exponent is odd so the value will be negative, therefore they add to 0)

B) just solve, 4*4+(-2)+7 = 16-2+7 = 21

C) A(2) - A(1) = 15 - 5 = 10

D) set the expression equal to 3 (2-3x)/(5-2x) = 3 x = 13/3 Hope this helps!