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3 years ago

-5 (1-5x) +5 (-8x-2)=-4x-8x need a worked out answer for x plz help me

1 answer:

3 0

The work inside parentheses cannot be carried out as shown, so the next approach to consider is multiplying the expressions inside the parentheses by -5 and 5 respectively:

-5 + 25x - 40x - 10 = -4x - 8x (Are you sure it's really "-4x - 8x"?)

Combining the x-terms:

-5 - 15x - 10 = -12x

Combining all like terms: -15 = 3x, so that x = -5 (answer)

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The function f(x) is shown in the graph.

Semmy [17]

Answer: Logarithmic

Explanation:

This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.

6 0

1 year ago

Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high temperature for the day is 10

WINSTONCH [101]

Answer:

The function for the outside temperature is represented by $T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]$ , where t is measured in hours.

Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

Amplitude

$A = \frac{100\º-70\º}{2}$

$A = 15\º$

Mean temperature

$\bar T = \frac{70\º+100\º}{2}$

$\bar T = 85\º$

Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

$T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]$

Where:

$\bar T$ - Mean temperature, measured in degrees.

$A$ - Amplitude, measured in degrees.

$\tau$ - Daily period, measured in hours.

$t$ - Time, measured in hours. (where t = 0 corresponds with 5 AM).

If $\bar T = 85\º$ , $A = 15\º$ and $\tau = 24\,h$ , the resulting function for the outside temperature is:

$T(t) = 85\º + 15\º \cdot \sin \left[\frac{t-6\,h}{24\,h} \right]$

3 0

3 years ago

What is the sum? StartFraction 3 Over x squared minus 9 EndFraction StartFraction 5 Over x 3 EndFraction.

V125BC [204]

The sum of the two fractional number, which consist in the variable <em>x</em> is in the polynomial function,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

<h3>What is the sum of fraction number?</h3>

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator.

Fraction number are written as,

$\dfrac{a}{b}$

Here (a) is the numerator and (b) is the denominator.

To find the sum of two fraction numbers, cross multiply both the numbers or find the least common factor as denominator.

The first fraction number given in the problem is,

$\dfrac{3}{x^2+9}$

The second fraction number given in the problem is,

$\dfrac{5}{x+3}$

Let the sum of these number is f(x). Thus,

$f(x)=\dfrac{3}{x^2-9}+\dfrac{5}{x+3}\\f(x)=\dfrac{3}{(x+3)(x-3)}+\dfrac{5}{x+3}\\$

Solve it further as,

$f(x)=\dfrac{3+5(x-3)}{(x+3)(x-3)}\\f(x)=\dfrac{3+5x-15}{(x+3)(x-3)}\\f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Thus, the sum of the two fractional number is,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Learn more about the fraction number here:

brainly.com/question/78672

6 0

2 years ago

If a line has slope a, what is the slope of its reflection across the line y=x?

aleksandrvk [35]

Check the picture below.

notice the reflected gray line on the red one over the y=x line, the slope of either line across the y=x line is simply the other's upside-down.

$\stackrel{\textit{slope of line "a"}}{a\implies \cfrac{a}{1}}\hspace{5em}\stackrel{\textit{slope of its reflection}}{\cfrac{1}{a}}$

3 0

2 years ago

Find the difference:<br> 1<br> 0.4 3 0 8

Dima020 [189]

Answer:

0.5692

Step-by-step explanation:

1 - MINUS 0.4308 = EQUALS 0.5692 BUT I DONT THAT IS IT

4 0

2 years ago