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2 years ago

Find the equation of the quadratic function F whose graph is shown below. F(x) = ?

Mathematics

1 answer:

zepelin [54]2 years ago

6 0

Answer:

y = x² - 2x - 3

Step-by-step explanation:

y + 4 = C(x - 1)²

To determine C, use x = 4, y = 5

5 + 4 = C(4 - 1)²

9 = 9C, C = 1

y + 4 = (x - 1)² = x² - 2x + 1

y = x² - 2x - 3

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A person breathes 2.5 x 10^-4 in about cubic meters of air per second. How long does it take to breathe in 2.5 cubic meters of a

Ipatiy [6.2K]

Answer:

10⁴ seconds

Step-by-step explanation:

Given that,

A person breathes $2.5\times 10^{-4}$ in about cubic meters of air per second.

We need to find time taken to breathe 2.5 cubic meters of air.

In 1 sec = $2.5\times 10^{-4}$ m³ of air breathe

Let in x seconds, 2.5 m³ of air taken by the person.

$x=\dfrac{2.5}{2.5\times 10^{-4}}\\\\x=10^4\ s$

Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.

5 0

3 years ago

What is the length of segment AE?

nexus9112 [7]

Answer:

$AE=\frac{50}{3}\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

$AC^{2} =AB^{2}+BC^{2}$

substitute

$AC^{2} =6^{2}+8^{2}$

$AC^{2} =100$

$AC =10\ units$

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{AB}{CD}=\frac{AC}{CE}$

substitute and solve for CE

$\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units$

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

$AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units$

6 0

4 years ago

Are 30:12 and 40:16 equivelant if noy tell why

mihalych1998 [28]

They are equivalent

30:12 => 5:2
40:16 => 5:2

hope this helsp

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3 years ago

Leah asks people at a theater how old they are. She finds that 8 out of

raketka [301]

Answer:

Step-by-step explanation:

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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane.

Anna11 [10]

Answer:0,4

I hope this helps, all i did was put the table into a website that made it into a equation then put that equation into desmos and it showed the y intercept of the line.

4 0

3 years ago

Read 2 more answers