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balandron [24]
3 years ago
9

Please someone help me with these! Mark brainliest !

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

4.) Cost of cordless phone = $55

cost of each additional handset = $25  

Therefore, the overall cost of the cordless phone, including the 3 extra handsets is:

$55 + 3($25) = $55 + $75 = $130

5.) Given the function, f(<em>d </em>) = .20<em>d</em> + 14, where:

f(d) = global temperature (in Celsius)

d = number of decades  

To evaluate the value of <em>f </em>(<em>d </em>) at f(10), you'll have to substitute the value of <em>d </em>= 10 as <u>input</u> into the function:

f(10) = .20(10) + 14

f(10) = 2 + 14

f(10) = 16

6.) Value of f(10):

    <em>In 10 decades, the predicted global temperature will be </em><em><u>16°</u></em><em> Celsius.</em>

7.) The correct answer is B. The global temperature f(d) depends on the number of decades, <em>d</em>.

<u>Explanation</u>: the independent variable is <em>d </em>→  it is the <u>input</u> of the function. The output primarily depends on the given value of input.

8.) Given the function, f(<em>t </em>) = 0.2<em>t</em>

where<em> t </em>= represents number of days elapsed since the planting of the seed.

         Evaluate f(40):

        f(40) = 0.2(40)

        f(40) = 8

  • Context of f(40): The value of the function, f(40) = 8 represents the 8 centimeter height of the habanero plant after 40 days of planting its seeds.  

Please mark my answers as the Brainliest, if you find my explanations helpful :)

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Need help with homework
motikmotik

We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Now, we replace and solve:

\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}

The center of the circle is (-8,-7), so:

\begin{gathered} h=-8 \\ k=-7 \end{gathered}

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

r^2=\Delta x^2+\Delta y^2

In this case, we will solve the delta with the center coordinate and the B coordinate.

\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

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