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olga55 [171]
4 years ago
12

Which is a correct first step in solving the inequality -4(2x-1)>5-3x

Mathematics
2 answers:
Monica [59]4 years ago
8 0
The correct first step of solving the inequality problem -4(2x-1)>5-3x is that

Expand -4(2x-1): -8x+4

You apply the distributive laws
a=4, b=2x, c=1
= -4x time 2x-(-4) time 1

Simplify -4 time 2x+4 time 1
Multiply the numbers: 4 time2=8
= -8x+4

Multiply the numbers: 4time1=4
= -8x+4

Ivanshal [37]4 years ago
7 0

Answer:

<h2>Apply distributive property that's the first step.</h2>

Step-by-step explanation:

The given inequality is

-4(2x-1)>5-3x

The first step we need to do is to apply distributive property to relase the binomial inside the parenthesis

-8x+4>5-3x

Then, we move all variables to the left side, and all constants to the right side

-8x+3x>5-4\\-5x>1

Now, we divide the inequality by -5, which changes the sign orientation

\frac{-5x}{-5}

Therefore, the solution is a set with all values less than -1/5. The graph attached shows this solution.

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Alexeev081 [22]

Answer:

Price after sale: $4.04

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Step-by-step explanation:

7 0
3 years ago
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Whic
Rudiy27

Answer:

A. {(1, 6.7), (2, 6.4), (3, 6.1)}

Step-by-step explanation:

The watering can dispenses water at a rate of 0.3 gallon per minute and the original volume of water in the can was 7 gallons.

Let y represent the volume of water in the can in gallons

Let x represent time in minutes

f(x) = y = 7 – 0.3(x)

When x = 1,

y = 7 – 0.3(1)

= 7 – 0.3

= 6.7

The pair will be (1, 6.7)

When x = 2,

y = 7 – 0.3(2)

= 7 – 0.6

= 6.4

The pair will be (2, 6.4)

When x = 3,

y = 7 – 0.3(3)

= 7 – 0.9

= 6.1

The pair will be (3, 6.1)

The set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water is {(1, 6.7), (2, 6.4), (3, 6.1)}  

4 0
3 years ago
What is the reflection in the x-axis &amp; what’s the reflection in line y=x?
marishachu [46]

Answer:

  a) (3, -4), (2, 4), (-5, -6)

  b) (4, 3), (-4, 2), (6, -5)

Step-by-step explanation:

a) Reflection in the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y)

  (3, 4) ⇒ (3, -4)

  (2, -4) ⇒ (2, 4)

  (-5, 6) ⇒ (-5, -6)

__

b) Reflection in the line y=x swaps the x- and y-coordinates:

  (x, y) ⇒ (y, x)

  (3, 4) ⇒ (4, 3)

  (2, -4) ⇒ (-4, 2)

  (-5, 6) ⇒ (6, -5)

8 0
4 years ago
Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par
Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

7 0
3 years ago
Which of the following situations most likely results in a negative correlation when the data is displayed on a scatter plot?
VashaNatasha [74]
It's B because the car gets older as the years of ownership go up; resulting in a negative correlation on a graph. Hope I helped :)
4 0
4 years ago
Read 2 more answers
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