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LiRa [457]
3 years ago
8

Factor completely and then place the factors in the proper location on the grid. 36x 2 + 60x + 25

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
4 0
Since 36x² + 60x + 25 is the perfect square trinomial, we use this formula a² + 2ab + b² = (a + b)². Hence, the solution is (6x + 5)² 
WARRIOR [948]3 years ago
3 0
<span>Hello I see you need help well i'm here to do just that so because 36x² + 60x + 25 is the perfect square trinomial,and this is the formula a² + 2ab + b² = (a + b)². the answer would be (6x + 5)²  hope this helps </span>
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What is the slope of the line that passes through the points (8,-6) and (8,-9)
Alla [95]

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7 0
1 year ago
What is the square root of 69
Maurinko [17]
8
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4 0
3 years ago
It is estimated that world reserves of oil currently stand at 2625
seraphim [82]

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  \displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

4 0
2 years ago
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

f(x)=a(1.04)^{x}

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

156=a(1.04)^{1}

Solve for a

156=a(1.04)

a=\$150

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0
3 years ago
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