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Bogdan [553]
4 years ago
13

Which ordered pair is a solution of the system of equations?

Mathematics
1 answer:
levacccp [35]4 years ago
3 0
{y=3x+1 |*5
{y=5x-3 |*(-3)

{5y=15x+5
{-3y=-15x+9
+___________
2y=14

{y=7
{7=3x+1

{3x=6
{y=7

{x=2
{y=7

The answer: C

:)

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konstantin123 [22]

For the equation  F(x) = ax² + bx + c we have:

  • maximum value if a<0
  • minimum value if a>0

F(x) = -3x² + 18x + 3    ⇒  a = -3, b = 18

a < 0    ⇒   the function has a maximum value

Quadratic function has the maximum value (or minimum) at vertex of its parabola.

The maximum value is k at x=h where:  h=\dfrac{-b}{2a}  and  k = F(h)

h=\dfrac{-18}{2\cdot(-3)}=3\\\\F(3)=-3\cdot3^2+18\cdot3+3=-27+54+3=30

Therefore:

<h3> The function has a maximum value of 30 at x = 3</h3>

3 0
2 years ago
Khloe has 28 coins in her collection. That is five more than kourntey has. How many does kourtney have?
AnnyKZ [126]

28 is five more than 23

7 0
3 years ago
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Soloha48 [4]

Answer:

I don't know if I'm right at all

x 1/2 2

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7 0
3 years ago
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7) Find the area of the shaded region:
aleksandr82 [10.1K]

Answer:

B

Step-by-step explanation:

The area of the biggest rectangle =

(9x - 2)(2x + 7) = 18 {x}^{2}  + 63x - 4x - 14  = 18 {x}^{2}   + 59x - 14

The area of the of the smallest rectangle inside=

3x(x + 12) = 3 {x }^{2}  + 36x

Then the area of the shaded region =

18 {x}^{2}  + 59x - 14 - (3 {x}^{2}   + 36x)    = 18 {x}^{2}  + 59x - 14 - 3 {x}^{2}  - 36x = 15 {x}^{2}  + 23x - 14

So, we choose B.

7 0
3 years ago
The dot plot shows the number of hours, to the nearest
Hoochie [10]

Answer: Fifth grade mean: 4.67

Seventh grade mean: 3.46

Fifth grade median: 5

Seventh grade median: 3.5

Step-by-step explanation: I just did the question

3 0
3 years ago
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