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3 years ago

9

Suppose tulips are on sale for $.60 per bulb. How many tulip bulbs can you order if you have $14 to spend and shipping is $3.00?

*

2 answers:

valentinak56 [21]3 years ago

4 0

You can get 18 tulips

Viefleur [7K]3 years ago

3 0

14+3=17
17/.6=28.3333
you can get about 28 tulips for a total of $17
Hope this helps!

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between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=

Juli2301 [7.4K]

$\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
f(x)=\textit{population amount}
\end{cases}$

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well $\bf \begin{array}{llll}
f(x)=&0.35x^2&-2.1x&+15.8\\
&\quad \uparrow &\quad \uparrow&\uparrow \\
&\quad a&\quad b &c
\end{array}
\\\\

\\\\
\qquad \textit{vertex of a parabola}\\ \quad \\
\qquad 

\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

5 0

3 years ago

The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

Rufina [12.5K]

Answer:

$c = 1190.2$

Step-by-step explanation:

We have the following solution:

$y(x) = ce^{-2x} + e^{-x}$

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

$y(x) = ce^{-2x} + e^{-x}$

$y(3) = ce^{-2*3} + e^{-3}$

$3 = ce^{-6} + e^{-3}$

$3 = ce^{-6} + 0.0498$

$ce^{-6} = 2.9502$

$c = \frac{2.9502}{e^{-6}}$

$c = 1190.2$

4 0

3 years ago

If you answer God will bless you:

VashaNatasha [74]

Answer:

600 m³

Step-by-step explanation:

Given:

length of swimming pool = 30 m
width of swimming pool = 10 m
depth at deep end = 3 m
depth at shallow end = 1 m

To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.

<u>Area of cross section</u>

= area of rectangle - area of triangle

= (3 × 30) - [1/2 × 30 × (3 - 1)]

= 90 - 30

= 60 m²

<u>Volume of pool</u>

= area of cross section × width

= 60 × 10

= 600 m³

6 0

2 years ago

The graph of a proportional relationship passes through (12,16) and (1,y). find y

anastassius [24]

Answer:

4/3

Step-by-step explanation:

A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{16-0}{12-0}= \frac{16}{12}=\frac{4}{3}$

So the slope is 4/3 and must be the value between any two points on the line.

This means the function moves from (0,0) to (1, 4/3).

4 0

3 years ago

Find KL<br><br> step by step

stich3 [128]

Answer:

7x-2 = 12x-22

-7x

-2=5x-22

+22

20=5x

÷5

x=4

KL is 7x-2, so substitute the value of x.

7 x 4 - 2 = 26

KL = 26

Hope this helps!

3 0

2 years ago