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3 years ago

La cantidad de horas h que debe dormir una persona joven de n años está dada por la siguiente expresión:

Mathematics

1 answer:

natulia [17]3 years ago

8 0

Answer:

Option D doesn't make any sense.

Step-by-step explanation:

D) 7 hours of sleep correspond to an age of 19 years.

That is wrong.

If we use the expression provided

hours = 8 + 0.5*(18 -age)

hours = 8 + 0.5*(18 -19)

hours = 8 + 0.5*(-1)

hours = 7.5

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Select whether each equation has no solution, one solution, or infinitely many solutions.

xxTIMURxx [149]

Answer:

Step-by-step explanation:

A) 5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides. This result is never true, so NO SOLUTION

B)3x−9=3(x−3) Performing the indicated multiplication, we get

3x - 9 = 3x - 9. This is always true, so there are INFINITELY MANY SOLUTIONS

C)2x−6=−2(x−3) Performing the indicated multiplication, we get

2x - 6 = -2x + 6. Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12. Thus, the solution is x = 3. ONE SOLUTION

D)2x+6−5x=−3(x This equation is incomplete

3 0

2 years ago

Read 2 more answers

What is the standard form of the linear function that passes

babunello [35]

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-3}{-2}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4})$

$\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(y-1)=2\left( \cfrac{3}{2}(x-4) \right)}\implies 2y-2 = 3(x-4)\implies 2y-2=3x-12 \\\\\\ -3x+2y-2=-12\implies -3x+2y=-10\implies \stackrel{\times -1\textit{ to both sides}}{3x-2y=10}$

7 0

2 years ago

Complete the equation of the graphed linear function in point-slope form.

vazorg [7]

The point-slope form:
$y-y_1=m(x-x_1)$
m - slope
x₁, y₁ - the coordinates of a point

It passes through the points (1,-2) and (2,2).
$(1,-2) \\
x_1=1 \\ y_1=-2 \\ \\
(2,2) \\
x_2=2 \\ y_2=2 \\ \\
m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-1}=\frac{2+2}{1}=4$

$\boxed{y-(-2)=4(x-1)}$

3 0

3 years ago

X + 6 = −x − 6 (so i can ask)kjhgfdccfghjk

ratelena [41]

Answer:

x = -6

Step-by-step explanation:

Equations

Solve the equation:

x + 6 = -x - 6

We must find the value of x that makes the identity above true.

Let's join all the variables on the left side and the numbers on the right side.

Adding x:

x + 6 + x = -x - 6 + x

The variables cancel out on the right side:

2x + 6 = -6

Subtracting 6:

2x + 6 - 6 = -6 -6

The 6 and -6 are canceled out:

2x = -12

Dividing by 2:

x = -12/2

x = -6

8 0

3 years ago

(-4,19) and (8,-2) whats the slope intercept

Sever21 [200]

Answer:

slope = -7/4

Step-by-step explanation:

Plug the points into this formula: $\frac{y2 - y1}{x2 - x1}$

Plug in

$\frac{-2 - 19}{8 - (-4)} \\\\\frac{-21}{12} = -7/4$

The simplest form is -7/4

Hope this helps ya! Keep smiling!

6 0

3 years ago