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3 years ago

Which of the following absolute value functions fits the graph shown above?

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer:

f(x) = -|x -2| +1

Step-by-step explanation:

The transformation ...

g(x) = f(x -h) +k

translates the function f(x) so that the point on its graph (0, f(0)) is moved to the location (h, k) on the graph of g(x).

The vertex of the "upside down" absolute value function f(x) = -|x| is (0, 0). In your graph, that point has been moved to (h, k) = (2, 1). So, the transformed function is ...

f(x) = -|x -2| +1 . . . . matches the last choice

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The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positiv

Anna11 [10]

Answer:

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

$y = \frac{-A}{B}x +\frac{C}{B}$

which is in the form of $y = mx +c$

where m is the slope of the line and c is y intercept made by the line.

comparing $y = \frac{-A}{B}x +\frac{C}{B}$ and $y = mx +c$

we get that $\frac{-A}{B} =m$ and $\frac{-C}{B} = c$

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore $\frac{-A}{B} =-7$ and $\frac{-C}{B} = 0$

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

3 0

3 years ago

3х + Зу = -x+5y ordered pair

likoan [24]

Answer:

2x-y=0

x=1/2y

Step-by-step explanation:

5 0

3 years ago

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Find the area of the circle. Leave your answer in terms of Pi. Diameter is 14 ft.

QveST [7]

Answer:

The area of the circle is $49\pi\ ft^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=14/2=7\ ft$ -----> the radius is half the diameter

substitute the value

$A=\pi (7)^{2}$

$A=49\pi\ ft^{2}$

7 0

3 years ago

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Determine whether the given differential equation is exact. If it is exact, solve it. (tan(x)-sin(x)sin*y))dx+cos(x)cos(y)dy=0 g

Nataly [62]

The differential equation

$M(x,y) \, dx + N(x,y) \, dy = 0$

is considered exact if $M_y = N_x$ (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function $f(x,y)=C$ such that $f_x=M$ and $f_y=N$ .

We have

$M = \tan(x) - \sin(x) \sin(y) \implies M_y = -\sin(x) \cos(y)$

$N = \cos(x) \cos(y) \implies N_x = -\sin(x) \cos(y)$

and $M_y=N_x$ , so the equation is indeed exact.

Now, the solution $f$ satisfies

$f_x = \tan(x) - \sin(x) \sin(y)$

Integrating with respect to $x$ , we get

$\displaystyle \int f_x \, dx = \int (\tan(x) - \sin(x) \sin(y)) \, dx$

$\implies f(x,y) = -\ln|\cos(x)| + \cos(x) \sin(y) + g(y)$

and differentiating with respect to $y$ , we get

$f_y = \cos(x) \cos(y) = \cos(x) \cos(y) + \dfrac{dg}{dy}$

$\implies \dfrac{dg}{dy} = 0 \implies g(y) = C$

Then the general solution to the exact equation is

$f(x,y) = \boxed{-\ln|\cos(x)| + \cos(x) \sin(y) = C}$

7 0

2 years ago

Please help! I am stuck!

Mrac [35]

the answer is D the last one,

the reason is just that any negative number is automatically smaller than a positive number. so -2.8 is smaller than even the smallest decimal possible as long as that decimal is positive. 1.4 is actually about 3 time more that -2.8

(both are still freezing cold)

5 0

3 years ago