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Lapatulllka [165]
3 years ago
7

Factor this polynomial completely.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

a

Step-by-step explanation:

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1 The ages of three cats are a, a + 4 and 2a - 3.<br> Their total age is 21. Determine a.<br> ?
Nimfa-mama [501]

Answer:

a = 5

Step-by-step explanation:

a +a+4 + 2a-3 = 21

4a +1 =21

4a = 20

a = 5

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3 years ago
NEED HELP ASAP
KonstantinChe [14]

Answer:

All in the explanation.

Step-by-step explanation:

Since we will only be renting the car for one day it will only be a $50 dollar base fee. If we drive 192 miles and just rent it for one day the equation modeled will be $0.18(192) + 50 = 34.56 + 50 = $84.56 total.

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3 years ago
34 is what percentage of 40
Zarrin [17]
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6 0
3 years ago
Cual es el valor de "x" en la siguiente operación? 2x+1=11
AURORKA [14]

Answer:

Subtract

1

1

1

from both sides of the equation

2

+

1

=

1

1

2

+

1

−

1

=

1

1

−

1

2

Simplify

3

Divide both sides of the equation by the same term

4

Simplify

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=

5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Thank you for anyone who knows this
katen-ka-za [31]

Answer:  

  • Part (a) Vertex = (-3, -1)
  • Part (b) Vertex = (4, 5)
  • Part (c) function 2; max value = 5

=====================================================

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

----------------------------

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

  • a = -2
  • b = 16
  • c = -27

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

----------------------------

Part (c)

We'll compare the y values of each vertex

  • Function 1 has a vertex of (-3, 1)
  • Function 2 has a vertex of (4, 5)

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

7 0
2 years ago
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