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zmey [24]
3 years ago
6

Solve the inequality for W: 5W - 23 < - 3 (3 - 4W)

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0
5w−23<−3(3−4w)

Simplify both sides of the inequality.

5w−23<12w−9

Subtract 12w from both sides.

5w−23−12w<12w−9−12w

−7w−23<−9

Add 23 to both sides.

−7w−23+23<−9+23

−7w<14

Divide both sides by -7.

−7w/−7 < 14/−7

w > −2

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Explain why their are no solutions to the system of inequalities <br> y ≤2x-5 <br> y ≥2x+1
rosijanka [135]

Answer:

Sorry this is late and I think this is right.

They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.

For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:

<em>y < - 1/2x -3</em>

<em>y > 1/2x + 2</em>

<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.

I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.

7 0
3 years ago
What is the sum of the arithmetic sequence 3, 9, 15…, If there are 34 terms?
snow_tiger [21]

Answer:

first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)

an = a1 + (n-1) * d

n = the term we want to find = 34

a1 = first term = 3

d = common difference = 6

now we sub

a34 = 3 + (34-1) * 6

a34 = 3 + (33 * 6)

a34 = 3 + 198

a34 = 201

now we use the sum formula

Sn = (n (a1 + an)) / 2

S34 = (34(3 + 201))/2

s34 = (34(204)) / 2

s34 = 6936/2

s34 = 3468 <=== the sum of the first 34 terms:

6 0
3 years ago
What is the solution of 9|2x – 1| + 4 &lt; 49?
luda_lava [24]

Answer: -2

Step-by-step explanation:

You need to set up two cases (Positive case and negative case) and solve for "x".

- POSITIVE CASE IF: 2x-1>0

9(2x -1) + 4 < 49\\18x-9

- NEGATIVE CASE IF: 2x-1

-9(2x -1) + 4 < 49\\-18x+9

Therefore, the solution is:

-2

3 0
3 years ago
Read 2 more answers
I need to show my work, could anyone help? (need by tonight 3/10/20
marishachu [46]

Answer:

14 gallons....$42

Step-by-step explanation:

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The car requires c gallons for 448 miles

c = 448 × 1 / 32

= 14 gallons..

One gallon = $3

Fourteen gallons = ??

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3 0
3 years ago
There are 6 girls on the bus each girl has 6 backpacks in each backpack there are six kittens there is one flea on the bus how m
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