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3 years ago

Given the function rule f(x) = x2-5x+q what is the output of f (-3)

Mathematics

1 answer:

sammy [17]3 years ago

6 0

F(x) = (-3)2 - 5(-3) + q
= -6 + 15 + q
= 9 + q

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Let f(x) = <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B11x%20-%203%20%5C%3A%7D%20determine%20%5C%3A%20%20%7Bf%7D%5

crimeas [40]

Step-by-step explanation:

Set up f(x).

$\sqrt[3]{11x - 3} = f(x)$

Replace f(x) with y

$\sqrt[3]{11x - 3} = y$

Swap x and y

$\sqrt[3]{11y - 3} = x$

Solve for y

Cube both sides

$11y - 3 = {x}^{3}$

Add 3 to both sides

$11y = {x}^{3} + 3$

Divide both sides by 11

$y = \frac{x {}^{3} + 3 }{11}$

$f {}^{ - 1} (x )= \frac{ {x}^{3} + 3}{11}$

3 0

3 years ago

A home pregnancy test is not always accurate. suppose the probability that the test indicates that a woman is pregnant when she

Gnom [1K]

Set Events:
T=tests positive~T=tests negativeP=subject is pregnant~P=subject is not pregnant
We are givenP(T n ~P)=0.02P(~T n P)=0.03P(P)=0.7
recall by definition of conditional probabilityP(A|B)=P(A n B)/P(B)

Need to find P(P|~T)
First step: make a contingency diagram of probabilities (intersection, n)
P ~P sum
T 0.67 0.02 0.69=P(T)
~T 0.03 0.28 0.31=P(~T)
sum 0.70 0.30 1.00
=P(P) =P(~P)

therefore
P(P|~T)=P(P n ~T)/P(~T)=0.03/0.31 [ both read off the contingency table ]
=0.0968

4 0

3 years ago

A line has a slope of -6 over 7. What is the slope of the line parallel to it? And what is the slope of the line perpendicular t

olga_2 [115]

The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6

3 0

3 years ago

You gave the server at a restaurant a 22% tip and ended up paying $41.48. What was the price of your meal before you applied the

const2013 [10]

Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

Total amount paid ( including tip) = $41.48

Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.

Let x be the price of meal, then

Total bill =x + 0.22 x (x )

⇒ $41.48= x(1+0.22) [ By distributive property]

⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

⇒ x= 34

Hence, the price of your meal before you applied the tip = $34.

7 0

4 years ago

How many $1 dollar bills do i need to circle the earth? Thanks

ozzi

1 billion dollars × 6 inches per dollar = 6 billion inches / 63,360 inches per mile = 94,636.97 miles coverted by1 billion bills. answer = 94,636.97 miles

8 0

4 years ago