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Yakvenalex [24]
3 years ago
9

Solution set for 5x + 38

slant " align="absmiddle" class="latex-formula">
is less than 4(2-5x)​
Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

x ≤ -6/5

Step-by-step explanation:

5x + 38 ≤ 4 (2 - 5x)

5x + 38 ≤ 8 - 20x

5x + 20x ≤ 8 - 38

25x ≤ -30

x ≤ -30÷25

<u>x ≤ -6/5</u>

erica [24]3 years ago
7 0

Answer:

{ x / x ≤ -6/5 } is the solution set of the given inequality.

Step-by-step explanation:

We have given an inequality :

5x + 38 <= 4(2-5x)​

We have to find  the solution set of the given inequality.

So,

5x + 38 ≤ 4(2-5x)​  

5x + 38 ≤ 8 - 20x

Combining like terms we get,

5x +20x ≤ 8 -38

25x ≤ -30

x ≤ -6/5

{ x / x ≤ -6/5 } is the solution set of the given inequality.

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<span>1.       </span><span>Original ratio of the bike and scooter is equals to :
=> 3 : 4, where 3 is the bike and 4 is the scooter
=> 48 bikes
=> original order = 64 scooter
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however, bike is more popular than scooter, so they changed it into new ratio:
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4 0
3 years ago
Use the quadratic formula to solve x^2+8x+9=0
Tju [1.3M]
None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)
4 0
3 years ago
Afton made a chicken dish for dinner. She added a 10 ounce package of vegetables and a 14 ounce package of rice to a 40 ounces o
uysha [10]

Answer:

4 lb

Step-by-step explanation:

10+14+40=64 oz = 4lb

7 0
4 years ago
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use the function to answer the question. f(x)= x^3 + 5x^2 + 7x + 3 = (x+1)(x+1)(x+3) what is the multiplicity of the root -1? I
miskamm [114]

Since f(x)=(x+1)^2(x+3) it follows that x=-1 is a root of multiplicity 2.

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Brenna is going on a backpacking trip with her family. They need to hike to their favorite camping spot and set up the camp befo
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Answer:

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Step-by-step explanation:

Given:

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Time taken for hiking = 3 hours and 3 minutes (03:03)

Time taken for set up = 1 hour and 26 minutes (1:26)

Find:

Latest time for start hiking

Computation:

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Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking

Latest time for start hiking = 8:00 PM - 03:03

Latest time for start hiking = 7:60 - 03:03

Latest time for start hiking = 4:57 PM

6 0
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