Ask question

Ask question

All categories

3 years ago

13

A hot air balloon has a height of 50 feet and is rising at a rate of 5 feet per minute. Another hot air balloon has a height of

70 feet and is rising at a rate of 3 feet per minute. After how many minutes will the balloons be at the same height?
If the number of minutes is represented by the variable x, then choose the equation that can be used to solve the problem.

1 answer:

Katen [24]3 years ago

6 0

Stupid do 22949949+r4848488) cuh x9x plays th e sum 69 to find the division time one times to

You might be interested in

Which conversion factor would you use to convert between these pairs of units minutes to hours grams to milligrams cubic decimet

Lynna [10]

Minutes to hours - 1h = 60m.
Grams to milligrams- 1g = 10^3 mg
Cubic decimeters to milliliters- 10^1 DL=1 L Hope this helps.

4 0

3 years ago

Find a second-degree polynomial (that is, an equation of the form y =a + bx + cx2 d that goes through the three points (0, 1), (

Lostsunrise [7]

Answer:

$y = 1 - x^2$

Step-by-step explanation:

we're given three points (0,1),(1,0) and (-1,0). and and equation of a parabola

$y = a + bx + cx^2$

we can plug in each of the coordinates, and 3 equations

(x,y) = (0,1)

$1 = a + b(0) + c(0)^2$

$a=1\quad\quad\Rightarrow A$

(x,y) = (1,0)

$0 = a + b(1) + c(1)^2$

$a + b + c=0\quad\quad\Rightarrow B$

(x,y) = (-1,0)

$0 = a + b(-1) + c(-1)^2$

$a - b + c=0\quad\quad\Rightarrow C$

These are are three equations, well we can simultaneously solve them to find the values of a, b and c.

we already found that, a = 1. so we plug this value in the rest of the equations. we'll use equation B.

$a + b + c=0$

$1 + b + c=0$

$b=-1-c$

we can substitute this value of b and a = 1, equation C

$a - b + c=0$

$1 -(-1-c) + c=0$

$1 +1+c + c=0$

$2+2c=0$

$c=-1$

we can use this value of c back in b

$b=-1-(-1)$

$b=0$

hence our equation of the 2-degree polynomial will be:

$y = a + bx + cx^2$

$y = 1 + (0)x + (-1)x^2$

$y = 1 - x^2$

and this polynomial indeed passes through all the points (0, 1), (1, 0), and (-1, 0).

And since these are the only solutions to the simultaneous equation we solved (i.e. we have single values of a,b and c). there's no other possibility.

8 0

3 years ago

Diego has 27 ounces of juice he pours equal amounts for each of his three friends and has 6 ounces left for him select the equat

Orlov [11]

Answer:

27÷4=6.75

Step-by-step explanation:

5 0

3 years ago

True or false and why: if a and b are irrational, then a^b is irrational

FrozenT [24]

False

b could be the logarithm of a rational number to the base a. For example,

$b=\log_\pi{(4)}$ will be irrational, but π^b = 4, a rational number

7 0

3 years ago

A restaurant manager states the number of customers that enter the

konstantin123 [22]

Yes it is true because if 3x +15=2x+60 it is true

6 0

3 years ago

Read 2 more answers