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Alchen [17]
2 years ago
7

X(4x-3)=0 A. {-3/4, 0} B. {3/4,0} C.{3/4}

Mathematics
1 answer:
svet-max [94.6K]2 years ago
7 0

Answer:

B. {3/4,0}

Step-by-step explanation:

x(4x - 3) = 0 \\ x = 0 \:  \: or \:  \: 4x - 3 = 0 \\ x = 0 \:  \: or \:  \: x =  \frac{3}{4}  \\ x =   \bigg\{ \frac{3}{4},  \:  \: 0  \bigg\}

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A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 45 minutes? In 1 hour?
mina [271]

Answer:

33.75 miles in 45 minutes,

45 miles in an hour

Step-by-step explanation:

45 minutes: 2 1/3= 7/3 ---> 7/3*3=7,

                    1 3/4= 7/4 ---> 7/4*3=5.25

car travels 5.25 miles for every 7 minutes,

45/7*5.25= 33.75 miles

1 hour (60 minutes):

using that the car travels 5.25 miles for every 7 minutes,

60/7*5.25= 45 miles

Hope that makes sense!

3 0
2 years ago
A portfolio has a E[r] of 12% and a std deviation of 18%. T-Bills return 7%. What is the maximum level of risk aversion (A) for
solniwko [45]
<h2>The required "option D) 3.09" is correct.</h2>

Step-by-step explanation:

Given,

A portfolio has a E[r] = 12 %, and

A standard deviation (\sigma) = 18 %

We know that,

Specify utility by U = E(r) – 0.5A\sigma^2

U = 0.12– 0.5(A) × 0.18^2

= 0.12 - 0.5  ×  A × 0.0162

In order for the risky portfolio to be preferred to bills,

The following condition must have:

0.12 – 0.0162A > 0.07

⇒ A < \dfrac{0.05}{0.0162} = 3.09

A must be less than 3.09 for the risky portfolio to be preferred to bills.

Thus, the required "option D) 3.09" is correct.

8 0
3 years ago
The product of the slopes of perpendicular lines is -1. Which function represents a line that is perpendicular to y = -6x + 7
Svetllana [295]
Y= 1/6 x + 7. To find a line that is perpendicular just take the slope and find the negative reciprocal. ex. A/B becomes -B/A. Hope this helped
4 0
3 years ago
48% as a decimal in simplest form
Gekata [30.6K]

Answer: .48

Step-by-step explanation:

Point 48 just move two places to the left

6 0
2 years ago
At the school store, pencils sell for $.12 each. The pencils come in boxes of 30. The school store buys each box for $2.00.
juin [17]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
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