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3 years ago

10. What is the value of x in this equation?

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Answer:

$- 8\frac{ 1}{ 2}$

Step-by-step explanation:

$- 4x + 8 = 42 \\ - 4x = 42 - 8 \\ - 4x = 34 \\ x = \frac{ 34}{ - 4} \\ x = - \frac{ 17}{ 2} \\ x = - 8\frac{ 1}{ 2} \: or \: x = - 8.5$

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What is the inverse of the function f(x) = 2x - 10?

aliya0001 [1]

Answer:

$h(x) = \frac{1}{2} x+ 5$

Step-by-step explanation:

To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:

y = 2x - 10

Switch positions:

x = 2y - 10

Add '10' to both sides to begin simplifying:

x + 10 = 2y

Divide both sides by 2:

$y= \frac{x+10}{2}$

This can be rewritten as:

$y = \frac{1}{2} x+ 5$

Therefore, the inverse of the function is:

$h(x) = \frac{1}{2} x+ 5$

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3 years ago

The perimeter of a square is 120 inches what is its area

nata0808 [166]

Answer:

A = 900in²

Perimeter 120in

Using the formulas

A = a²

P = 4a

Step-by-step explanation:

Solving for A:

A = 1/16 P² = 1/16 · 120² = 900in²

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3 years ago

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The scatter plot shows the number of absences in a week for classes of different sizes. Trevor concluded that there is a positiv

QveST [7]

This is right the answer is A.

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3 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

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3 years ago

Explain how System 1 becomes equivalent to System 2.

Nostrana [21]

Answer:

$\left\{\begin{array}{ccc}(A+L)x+(B+M)y=C+N\\Ax+By=C\end{array}\right$

<h3>A.The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.</h3>

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}Ax+By=C\\Lx+My=N\end{array}\right}\qquad\text{add both sides of the equations}\\(Ax+Lx)+(By+My)=C+N\qquad\text{distributive}\\(A+L)x+(B+M)y=C+N$

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3 years ago

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