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MrRa [10]
1 year ago
13

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9? I need help ASAP!!!!!!! please help me

Mathematics
2 answers:
svetoff [14.1K]1 year ago
5 0
The first step should be to distribue:
-4(3-5x)= -12+20x
Rama09 [41]1 year ago
5 0
The first step should be to distribue:
-4(3-5x)= -12+20x
You might be interested in
If b is the midpoint of ac, ac=cd, ab=3x+4, ac=11x-17, and ce=49, find de
IrinaK [193]

First, we draw our line.

 

|------------------------------------------------------------------------------------|

a                                                                                                            e

 

 

Next, break up this line into segments using the information.

 

|----------------------|----------------------|--------------------|------------------|

a                            b                            c                         d                      e

 

 

The entire line is 29.

 

ab + bc + cd + de = ae

ab + bc + cd + de = 29

 

You also know that

 

bd = bc + cd

 

 

Due to midpoint theorem,

 

ab = bc

cd = de

 

 

Then,

 

2ab + 2cd = 29

 

 

The equations we will use are

 

bd = bc + cd                       eq1

2bc + 2cd = 29                   eq2

 

 

Dividing both sides of the equation in eq2 yields

 

bc + cd = 14.5

 

bd = bc + cd

bd = 14.5

5 0
2 years ago
Read 2 more answers
What is the solution to this eqution? 3x +17 + 5x = 7x +10
ddd [48]

Answer:

-7

Step-by-step explanation:

3x +17 + 5x = 7x +10

3x +17 + 5x - 7x = +10-17

x=-7

4 0
1 year ago
−7x−50≤−1 AND−6x+70>−2
fgiga [73]

Answer:

-7\geq x and [-7,12) in interval notation.

Step-by-step explanation:

We have been given a compound inequality -7x-50\leq -1\text{ and }-6x+70>-2. We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

-7x-50\leq -1

-7x-50+50\leq -1+50

-7x\leq 49

Dividing by negative number, flip the inequality sign:

\frac{-7x}{-7}\geq \frac{49}{-7}

x\geq -7

-6x+70>-2

-6x+70-70>-2-70

-6x>-72

Dividing by negative number, flip the inequality sign:

\frac{-6x}{-6}

x

Upon merging both intervals, we will get:

-7\geq x

Therefore, the solution for our given inequality would be -7\geq x and [-7,12) in interval notation.

7 0
2 years ago
Five molecules have speeds of 2.8, 3.2, 5.8, 7.3, and 7.4 m/s. their root-mean-square speed is closest to
frosja888 [35]
The complete question in the attached figure

we know that

the root mean square speed, is the square root of the average (mean) of all of the square of the speeds of individual particles in a gas.

step 1
find the  square of the speeds of individual particles
2.8²----> 7.84
3.2²---->10.24
5.8²----> 33.64
7.3²----> 53.29
7.4²---> 54.76
average=[7.84+10.24+33.64+53.29+54.76]/5-----> 159.77/5----> 31.954

step 2
find the square root of the average
√31.954=5.65

therefore

the answer is
the option b) 5.7 m/s

7 0
2 years ago
The spinner shown has eight equal-sized sections. The pointer lands on an even number 135 times out of 250 spins. Which of the f
forsale [732]

Answer:

A and D

Step-by-step explanation:

Here, we shall be evaluating the validity of the statements;

A. Yes, A is true

There are four even numbers 2,4,6 and 8 and 4 odd number 1,3,5,7; The landing should be equal at 125 each

B. This is wrong

It is supposed to land half of the number of time s which is half of 250 and that is 125

C.This is wrong

The numbers greater than 4 are 5,6,7,8

Now, the probability should be 4/8 = 1/2 and that is 50%

D. This is correct

Number of times we have a landing on odd numbers is 250-135 = 115

The experimental probability of landing on an odd number is thus 115/250 = 0.46 which is 46%

8 0
2 years ago
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