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muminat
2 years ago
9

Identify the inverse of f(x)=x^2-9

Mathematics
1 answer:
Reika [66]2 years ago
7 0
A
x=y^2-9
x+9=y^2
square root both sides
+-sqrt(x+9)
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Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
Which numbers will round to 3.75 when rounded to the nearest hundredth and will round to 3.7 when rounded to the nearest tenth
Lina20 [59]

Answer:

3.646

3.648

3.647Step-by-step explanation:

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2 years ago
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A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Inga [223]

Answer:

The mom is 5 feet 3 inches

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

m = 1 3/4 * 3

<u>Step 2:  Solve</u>

m = (4/4+3/4) * 3

m = 7/4 * 3

m = 21/4

m = 5.25

<em>m = 5 feet 3 inches</em>

<em />

Answer:  The mom is 5 feet 3 inches

7 0
3 years ago
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En un vecindario, un camión de helados pasa cada 8 días y un food truck pasa cada dos semanas, hoy se juntó ambos, ¿en cuántos d
aleksandr82 [10.1K]

This is the question in English. In a neighborhood, an ice cream truck passes every 8 days and a food truck passes every two weeks, today both came together, in how many days will they get back together?

Answer / Respuesta:

Spanish:  La respuesta sería 56 días más.

English: The answer would be 56 more days.

Step-by-step explanation: / Explicación paso a paso:

English: The first time they meet would be at 56 days. So it would be 56 more days until they meet again.

Spanish ( Español): La primera vez que se reúnan sería a los 56 días. Así que pasarían 56 días más hasta que se vuelvan a encontrar.

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3 years ago
A regular polygon has 13 sides.Find was he sum of the exterior angle.
maks197457 [2]

Answer:

Step-by-step explanation:

Exterior angle = 360/n

= 360/13

= 27.7°

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