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Maksim231197 [3]
2 years ago
6

2(4x+3)=7x+5 (SHOW WORK) REPOST

Mathematics
2 answers:
coldgirl [10]2 years ago
8 0

Answer: the answer is -1

Step-by-step explanation:

hoa [83]2 years ago
7 0
2(4x+3)=7x+5

8x+6=7x+5

8x-7x=5-6
X=5-6

x=-1
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Help with my homework pls<br> Solve the compound inequality y + 7 ≥ –1 and y∕4 + 3 ≤ 5.
Marianna [84]

Answer:

  -8 ≤ y ≤ 8

Step-by-step explanation:

Subtract 7 from the first one:

  y ≥ -8

Subtract 3 from the second one, then multiply by 4.

  y/4 ≤ 2

  y ≤ 8

Now, you can write these as a compound inequality:

  -8 ≤ y ≤ 8

_____

<em>Additional comment</em>

You basically solve these the same way you would an equation. The only difference is that multiplying or dividing by a negative number will reverse the inequality symbol:

  2 > 1

  -2 < -1 . . . . . multiplied above by -1.

8 0
2 years ago
50 Points Please show graph
worty [1.4K]

Answer:

The solutions are x = -9 , x = -5

Step-by-step explanation:

* Lets find the vertex of the parabola

- In the quadratic equation y = ax² + bx + c, the vertex of the parabola

 is (h , k), where h = -b/2a and k = f(h)

∵ The equation is y = x² + 14x + 45

∴ a = 1 , b = 14 , c = 45

∵ h = -b/2a

∴ h = -14/2(1) = -14/2 = -7

∴ The x-coordinate of the vertex of the parabola is -7

- Lets find k

∵ k = f(h)

∵ h = -7

- Substitute x by -7 in the equation

∴ k = (-7)² + 14(-7) + 45 = 49 - 98 + 45 = -4

∴ The y-coordinate of the vertex point is -4

∴ The vertex of the parabola is (-7 , -4)

- Plot the point on the graph and then find two points before it and

 another two points after it

- Let x = -9 , -8 and -6 , -5

∵ x = -9

∴ y = (-9)² + 14(-9) + 45 = 81 - 126 + 45 = 0

- Plot the point (-9 , 0)

∵ x = -8

∴ y = (-8)² + 14(-8) + 45 = 64 - 112 + 45 = -3

- Plot the point (-8 , -3)

∵ x = -6

∴ y = (-6)² + 14(-6) + 45 = 36 - 84 + 45 = -3

- Plot the point (-6 , -3)

∵ x = -5

∴ y = (-5)² + 14(-5) + 45 = 25 - 70 + 45 = 0

- Plot the point (-5 , 0)

* To solve the equation x² + 14x + 45 = 0 means find the value of

  x when y = 0

- The solution of the equation x² + 14x + 45 = 0 are the x-coordinates

 of the intersection points of the parabola with the x-axis

∵ The parabola intersects the x-axis at points (-9 , 0) and (-5 , 0)

∴ The solutions of the equation are x = -9 and x = -5

* The solutions are x = -9 , x = -5

5 0
3 years ago
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Answer:

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Dafna11 [192]

Answer:

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Step-by-step explanation:

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Nezavi [6.7K]

Answer:

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Step-by-step explanation:

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