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natulia [17]
3 years ago
12

Solve the compound inequality 8 < 3 - 5x < 18

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

−1 > x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

8<3−5x<18

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Rashid [163]
Table a is 3 b is 2 and c is 1
7 0
2 years ago
<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
3 years ago
Read 2 more answers
Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale
Dafna1 [17]

Answer:

5.5hr

Step-by-step explanation:

Distance=550Km

Speed=100Km/hr

Speed=(Distance/Time)

Time=(Distance/Speed)

Time=550/100=5.5hr

8 0
3 years ago
Read 2 more answers
For the given linear function, what are the slope and y-intercept?
asambeis [7]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

I had this question not to long ago and got it right

4 0
2 years ago
What is the perpendicular distance from the line y= 2x-3 to the point (8,3)
Liula [17]
Find the perpendicular line then find the intersection then find the point

perpendicular lines have slopes that are perpendicular
the slopes multiply bo -1

y=mx+b
m=slope
y=2x-3
2 is slope

2 times what=-1
what=-1/2


the equation is
y-3=-1/2(x-8) or
y=(-1/2)x+7

find intersection
at (4,5)
distance bwetweeen (8,3) and (4,5)
D=\sqrt{(8-4)^2+(3-5)^2}
D=\sqrt{(4)^2+(-2)^2}
D=\sqrt{16+4}
D=\sqrt{20}
D=2√5
distance= 2√5
7 0
3 years ago
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