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wel
3 years ago
14

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Mathematics
1 answer:
sasho [114]3 years ago
4 0

-2(5-4x)<-2(-3x+4)

5-4x< 4-3x

3x-4x < 4-5

-x < -1

x>1

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HELP
Ket [755]

Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.

<h3>How can the duration of signal reception be found?</h3>

Radius of broadcast of the transmitter = 50 miles

Location of starting point = 56 miles north of the transmitter

Location of destination city = 58 miles east of the transmitter

Therefore we have;

Slope of the line joining the two cities

= 56 ÷ (-58) = -0.966

Which gives the equation of the line as follows;

y = -0.966•x + 56

The equation of the circle is;

{x}^{2}  +  {y}^{2}  =  {50}^{2}

{x}^{2}  +  { ( - 0.966x + 56)}^{2}  =  {50}^{2}

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

  • x = 6.67 or x = 49.29

Therefore;

When x = 6.67, we have;

  • y = -0.966 × 6.67 + 56 = 49.56

When x = 49.29, we have;

  • y = -0.966 × 49.29 + 56 = 8.4

The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;

l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>

  • The length of the drive during which the signal is received is 59.24 miles

Learn more about the equation of a circle here:

brainly.com/question/502872

#SPJ1

5 0
2 years ago
What is the value of x in the equation log5 x = 4 jmap?
steposvetlana [31]
To solve for x we proceed as follows:
from the laws of logarithm, given that:
log_a b=c
then
a^c=b
applying the rationale to our question we shall have:
log_5 x=4
hence
5^4=x
x=625
Answer: x=625
5 0
3 years ago
You roll a 6-sided die.<br> What is P(even or factor of 45)?<br> Write your answer as a percentage.
jonny [76]

Answer:

30% because the chance of the whole dice is 6

4 0
2 years ago
Read 2 more answers
Please help me Mom made 1.5 L of chicken noodle soup. She has a
Pepsi [2]

Answer: It will not fit

Step-by-step explanation:

1L=33.8 ounces, so half of that (the .5) is 16.9

16.9+33.8= 50.7, which is .7 more that the capacity of the jar. Hope this helps (=

5 0
2 years ago
A man is four times as old as his son. 10 years later, the man will be three times as old as his son. What is the man’s current
kvasek [131]

Answer:

The son is 20 and the father is 80.

Step-by-step explanation:

3 0
3 years ago
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