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Nina [5.8K]
2 years ago
4

The coordinate pairs (-5, -11), (0, -1), and (5, 9) are solutions to which function?

Mathematics
1 answer:
larisa86 [58]2 years ago
7 0
You have to probe each function until you find the right one.

1) f(x) = 3x - 1
  x   f(x) = 3x - 1

-5        3(-5) - 1 = -15 - 1 = - 16 => it is not

2) f(x) = 2x + 1

  x     f(x) = 2x + 1

-5        2(-5) + 1 = -10 + 1 = - 9 => it is not

3) f(x) = 3x - 6

  x      f(x) = 3x - 6

-5         3(-5) - 6 = - 15 - 6 = - 21 => it is not

4) f(x) = 2x - 1

  x     f(x) = 2x - 1

- 5    2(-5) - 1 = -10 - 1 = -11 => point (-5, -11) => right

0       2(0) - 1 = 0 - 1 = - 1 => pont ( 0, - 1) => right

5       2(5) - 1 = 10 - 1 = 9 => point (5, 9) => right

Therefore the answer is the option d. f(x) = 2x - 1
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PLEASEE HURRYY Which expression is equivalent to the complex number. 10+3i
irga5000 [103]

Answer:

(4+7i)-2i(2+3i) = 10+3i

Step-by-step explanation:

We need to find the expression that is equivalent to the complex number 10+3i.

Option 1. 2i(4-5i)+(1-7i)

=8i-10i²+1-7i

∵ i² = -1

=8i-10(-1)+1-7i

=8i+10+1-7i

=11+i (incorrect)

Option 2. (4+7i)-2i(2+3i)

=4+7i-4i-6i²

=4+7i-4i-6(-1)

=4+7i-4i+6

=10+3i (Correct)

Option 3. (-3+5i)-3i(4+5i)

= (-3+5i)-12i-15i²

= -3+5i-12i-15(-1)

= -3+5i-12i+15

=12-7i (incorrect)

Option 4. 3i(4+7i)+(11+2i)

= 12i+21i²+11+2i

=12i+21(-1)+11+2i

= 12i-21+11+2i

=14i-10 (incorrect)

Hence, the correct option is (B).

5 0
2 years ago
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The owner of a furniture store decides to reduce the price of a sofa from $800 to $560. By what percentage was the price of the
KIM [24]

The percentage that the store has taken off would be 30%.

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2 years ago
Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,
ololo11 [35]

Answer:

From the graph attached, we know that \angle 1 \cong \angle 5 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like \angle 1 and \angle 5.

We also know that, by definition of linear pair postulate, \angle 3 and \angle 1 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that \angle 3 and \angle 1 together are 180°, because they are on a straight angle. That is, m \angle 3 + m \angle 1 = 180\°

If we substitute \angle 5 for \angle 1, we have m \angle 3 + m \angle 5 = 180\°, which means that \angle 3 and \angle 5 are also supplementary by definition.

4 0
2 years ago
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Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4
shutvik [7]

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

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<u><em>Hope This Helps :p</em></u>

8 0
2 years ago
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What is the vertex and the axis of symmetry of the quadratic function graphed below?
Kazeer [188]
The answer is B ! as vertex is (6,3) and axis of symmetry lies on x=6 !

if you need explanation, comment !
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