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PilotLPTM [1.2K]
2 years ago
6

Please help me, 65 points to someone who can help me.

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
7 0
X= -1/2, -11/2 or in decimal form x=-0.5, -5.5
givi [52]2 years ago
3 0

Answer:

  • <u>x = -0.5 , x = -5.5</u>

Step-by-step explanation:

<u>Solving</u>

  • -4x² = 24x + 11
  • 4x² + 24x + 11 = 0
  • 4x² + 24x + 36 - 36 + 11 = 0
  • (2x + 6)² - 25 = 0
  • (2x + 6)² = 25
  • ⇒ 2x + 6 = ±5

<u>Case 1 : x = +5</u>

  • 2x + 6 = 5
  • 2x = -1
  • x = -1/2
  • <u>x = -0.5</u>

<u></u>

<u>Case 2 : x = -5</u>

  • 2x + 6 =  -5
  • 2x = -11
  • x = -11/2
  • <u>x = -5.5</u>
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There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Step-by-step explanation:

The given is:

  • A supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar
  • The total mass of the sugar is 2900 kg

We need to find how many 2 kg bags and 4 kg bags are in the shipment

Assume that x represents the number of 2 kg bags and y represents the number of 4 kg bags

∵ x is the number of 2 kg bags

∵ y is the number of 4 kg bags

∵ The total number of bags are 1100

- Add x and y, then equate the sum by 1100

∴ x + y = 1100 ⇒ (1)

∵ The total mass of sugar is 2900 kg

- Multiply x by 2 and y by 4 to find the mass of the bags, then

  add the two product and equate them by 2900

∴ 2x + 4y = 2900 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -2200 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 700

- Divide both sides by 2

∴ y = 350

- Substitute the value of y in equation (1) to find x

∵ x + 350 = 1100

- Subtract 350 from both sides

∴ x = 750

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

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