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leva [86]
2 years ago
15

3)

Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

Answer:

2500 pence (C = 2500)

Step-by-step explanation:

C = 10t + 20m

From the given information, t is the number of texts so essentially you will plug in the number of texts provided (150) in the place of the variable t.

C = 10(150) + 20m

Apply the same thing to minutes, plug in the number of minutes (50) in the place of the variable m.

C = 10(150) + 20(50)

Now multiply the substitutes with the co-efficient.

C = 1500 + 1000 (10*150=1500 & 20*50=1000)

Add the addends

C = 2500

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3 0
2 years ago
Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

x = -\frac{b}{2a}

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
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Sonja [21]
The population after 8 min is 1200 sorry that's only one I got time for. I think it should right though.
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Dmitrij [34]
The 8 in 782 is in the tens value.

7 0
3 years ago
PLEASE HELP!
Ilia_Sergeevich [38]
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Rewrite it in the following way:

y= \dfrac{60x}{1+0.625x}=\dfrac{60x}{1+ \frac{5}{8} x}=\dfrac{480x}{8+5x}=\dfrac{96\cdot 5x}{8+5x}=
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From the added graph of the function you can conclude that <span>the maximum number of moose that the forest can sustain at one time is 96.</span>
Answer: Correct choice is A.
<span />

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