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3 years ago

Graph the parabola 3x^2+6x-24

Mathematics

1 answer:

brilliants [131]3 years ago

7 0

We have the following function:
F (x) = 3x ^ 2 + 6x-24
We observe that it is a quadratic equation.
The graph is therefore a parabola.
Its cut points are:
(-4, 0)
(2, 0)
Answer:
See attached image to see graph of the function

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Pachacha [2.7K]

Answer:

The correct option is: 32.4 km/h

Step-by-step explanation:

The fastest recorded speed of a turtle while swimming is 9 m/s.

Now, 9 m/s $=\frac{(9)meters}{(1)second}$

1 kilometer= 1000 meter

So, 1 meter $= \frac{1}{1000}=0.001$ kilometer

and 9 meters $=(9*0.001)kilometer = 0.009$ kilometer

Now, 1 hour = 3600 seconds

So, 1 second $=\frac{1}{3600}hour$

Thus, we will get.........

$\frac{(9)meters}{(1)second}=(\frac{0.009}{\frac{1}{3600}}) kilometer/hour =(0.009*3600)=32.4 km/h$

So, the speed of the turtle will be 32.4 km/h.

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3 years ago

Sarah inherited a sum of 1,539 dollars with an interest rate of 1% per year what is the accrued value after 5 years, 10 years, a

JulijaS [17]

Answer:

See explanation

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interest,

P = principal,

r = rate (as decimal),

t = time

In your case,

$P=\$1,539\\ \\r=0.01$

If $t_1=5$ years, then

$I_1=1,539\cdot 0.01\cdot 5=76.95$ and the whole sum is $\$1,539+\$76.95=\$1,615.95$

If $t_2=10$ years, then

$I_2=1,539\cdot 0.01\cdot 10=153.9$ and the whole sum is $\$1,539+\$153.9=\$1,692.9$

If $t_3=15$ years, then

$I_3=1,539\cdot 0.01\cdot 15=230.85$ and the whole sum is $\$1,539+\$230.85=\$1,769.85$

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4 years ago

The tubes in a solar collector are filled with _____.

Olegator [25]

The tubes in a solar collector are filled with fluid.

4 0

4 years ago

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Given f(x) = x^2 + 14x + 40 . Enter the quadratic function in vertex form in the box. f(x)=

finlep [7]

Recall that the vertex form of a quadratic function (or parabolic function) is equal to

$f(x) = a(x - h)^{2} + k$

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.

One concept that we must remember when completing the square is that

(a + b)² = a² + 2ab + b²

So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.

So, going back to the function, we have

$f(x) = (x^{2} + 14x + 40 + 0)$
$f(x) = (x^{2} + 14x + 40 + 49 - 49)$
$f(x) = (x^{2} + 14x + 49) + 40 - 49$
$f(x) = (x + 7)^{2} - 9$

Thus, we have derived the vertex form of the function.

Answer: f(x) = (x + 7)² - 9

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3 years ago

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Marysya12 [62]

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4 years ago