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3 years ago

What is the value of p?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

P=pie which could be 8

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What is the vertex of g(x) = 3x2 − 12x + 7?

DENIUS [597]

Answer:

C) (2, -5).

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).

7 0

2 years ago

Read 2 more answers

The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

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5 0

1 year ago

a rectangle has a length if x + 7 centimeters. The perimeter of the rectangle is 23 centimeter. What is the value of x

Tems11 [23]

$23 = 14 + 2x$
$reasoning \: for \: each \: term \: in \: the \\ \: above \: equation\\ \\ p = 23 \\ 14 = 7 \times 2 \\ 2x = 2 \times x$
$\: \: \: \: \: 23 - 14 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 14 + 2x - 14 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9 = 2x$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9 \div 2 \: \: \: \: \: \: \: \: \: 2x \div 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 4.5 = x$
So, the answer is 4.5

8 0

3 years ago

The point (-5, 3) is reflected across the x axis. What are the coordinates of this reflection? Group of answer choices

harina [27]

Answer:

( -5, -3)

Step-by-step explanation:

8 0

2 years ago

What is the boundary line for the linear inequality 4x + 2y < 18?

Cloud [144]

Answer:

Simplifying

x = 4.5 + -0.5y

Step-by-step explanation:

4 0

2 years ago