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Oksanka [162]
3 years ago
12

9th grade math help me please and thank you sosomuch

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

The system is consistent; it has one solution ⇒ D

Step-by-step explanation:

A consistent system of equations has at least one solution

  • The consistent independent system has exactly 1 solution
  • The consistent dependent system has infinitely many solutions

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

  1. a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
  2. a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
  3. a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution

In the given system of equations

∵ -2y + 2x = 3 ⇒ (1)

∵ -5y + 5x = 12 ⇒ (2)

→ By comparing equations (1) and (2)

∵ -2 ≠ -5

∵ 2 ≠ 5

∵ 3 ≠ 12

→ By using the 3rd rule above

∴ The system is consistent independent and has exactly one solution

∴ The system is consistent; it has one solution

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What is the solution of the given inequality?<br> -4(2x+1)&lt;_3(x-5)
soldi70 [24.7K]

Answer:

x ≥ 1

Step-by-step explanation:

Solve the inequality by solving for x.

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Use the distributive property.

-8x - 4 ≤ 3(x - 5)

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Subtract 3x from both sides.

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Add 4 to both sides.

-11x ≤ -11

Divide both sides by -11, also flip the inequality since you're dividing by a negative number.

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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
What is the solution to the equation below? √x - 4 = -2 O A. X=&amp; O B. X=4 X = 4 C. x = 6 D. X = 2
saul85 [17]

Answer:

x = 4

Explanation:

Given the expression;

\sqrt[]{x}-4\text{ = -2}

Add 4 to both sides

\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}

Square both sides

\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}

Hence the value of x is 4

undefined

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1 year ago
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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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