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2 years ago

What is the coefficient in -x+9

Mathematics

1 answer:

finlep [7]2 years ago

8 0

Answer:

-1

Step-by-step explanation:

The coefficient is the number directly next to a given variable (typically 1 if there is no given number).

In this case, note the variable: -x

As stated above, the number is 1 if there is no number given. However, note that there is a negative sign, therefore, your coefficient is -1

-1 is your answer.

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

Art [367]

Answer:

The answer is " $\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}$ "

Step-by-step explanation:

Given value:

Temp-maximum= $18^{\circ}$

Temp. minimum = $3^{\circ}$

It is halfway between 10 am and 10 pm to 4 am.

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:

$T = A \cos B(t-C) + D,$ where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

$A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\$

$= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5$

$B = \frac{2 \pi}{24}\\\\$

$= \frac{\pi}{12}$

$C = \text{ units translated to the right}= 4$

$D = y_{min} + amplitude = units \ translated \ up\\\\$

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

$T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5$

6 0

3 years ago

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

Artyom0805 [142]

Answer: $g(x)=(3)^{-x}$

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function $f(x)$ will become $f(-x)$ .

Now, the given function : $f(x)=(3)^x$

Then , after reflection across y axis the new function will become:

$g(x)=f(-x)=(3)^{-x}$

7 0

3 years ago

Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1

frozen [14]

Answer:

x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

<h3>semi-minor axis</h3>

Squaring the equation for eccentricity gives ...

e² = 1 -b²/a²

Solving for b², we have ...

b²/a² = 1 -e²

b² = a²(1 -e²)

<h3>ellipse equation</h3>

Using the given values, we find ...

b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

x²/2166784 +y²/2159989 = 1

7 0

1 year ago

I need help with all three please help!

denis-greek [22]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

For which value of x is the equation 4x + 24 = 8x + 2x true?

Paha777 [63]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

4x+24=10x

-4x -4x

24=6x

/6 /6

x=4

3 0

3 years ago