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3 years ago

If h(x) is the parent function, which equation describes the function song shifted 3 units left and 5 units down?

Mathematics

2 answers:

m_a_m_a [10]3 years ago

8 0

Given function is,

→ h(x)

As we shift left,

→ h(x) = h(x + 3)

As we shift down,

→ h(x + 3) = h(x+3)-5

Then the equation is,

→ h(x+3)-5

It is correct answer.

denis-greek [22]3 years ago

6 0

Answer:

h(x + 3) - 5

Step-by-step explanation:

Given function h(x).

<u>Shift left:</u>

h(x) → h(x + 3)

<u>Shift down:</u>

h(x + 3) → h(x + 3) - 5

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Help! The elements of matrix C are shown below.

skad [1K]

Answer:

the answer is B.

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4 years ago

Make y the subject of each of y-p=m

Serga [27]

Answer:

y=m+p

Step-by-step explanation:

take the p to the other side.

p crosses = sighn and becomes +

hence ans = y=m+ p

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3 years ago

The moon is about 240,000 miles from Earth what is this distace written as a while number multiplied by a power of ten

alex41 [277]

24x10^4 is the answer

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3 years ago

Suppose X and Y are random variables with joint density function. f(x, y) = 0.1e−(0.5x + 0.2y) if x ≥ 0, y ≥ 0 0 otherwise (a) I

Hatshy [7]

a. $f_{X,Y}$ is a joint density function if its integral over the given support is 1:

$\displaystyle\int_{-\infty}^\infty\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\frac1{10}\int_0^\infty\int_0^\infty e^{-x/2-y/5}\,\mathrm dx\,\mathrm dy$

$=\displaystyle\frac1{10}\left(\int_0^\infty e^{-x/2}\,\mathrm dx\right)\left(\int_0^\infty e^{-y/5}\,\mathrm dy\right)=\frac1{10}\cdot2\cdot5=1$

so the answer is yes.

b. We should first find the density of the marginal distribution, $f_Y(y)$ :

$f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\frac1{10}\int_0^\infty e^{-x/2-y/5}\,\mathrm dy$

$f_Y(y)=\begin{cases}\dfrac15e^{-y/5}&\text{for }y\ge0\\\\0&\text{otherwise}\end{cases}$

Then

$P(Y\ge8)=\displaystyle\int_8^\infty f_Y(y)\,\mathrm dy=e^{-8/5}$

or about 0.2019.

For the other probability, we can use the joint PDF directly:

$P(X\le5,Y\le8)=\displaystyle\int_0^5\int_0^8f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=1+e^{-41/10}-e^{-5/2}-e^{-8/5}$

which is about 0.7326.

c. We already know the PDF for $Y$ , so we just integrate:

$E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5$

5 0

3 years ago

Nadya [2.5K]

In the given diagram, the value of AC is 24. The correct option is B. 24

<h3>Properties of rectangle </h3>

From the question, we are to determine the value of AC

From one of the properties of a rectangle, we have that

The diagonals of a rectangle are equal and bisect each other.

Then, in the given diagram

AC = DB

Thus,

3x - 6 + 3x - 6 = 2x + 2x

6x -12 = 4x

6x - 4x = 12

2x = 12

x = 12/2

x = 6

In the diagram,

AC = 3x - 6 + 3x - 6

AC = 3(6) -6 + 3(6) - 6

AC = 18 - 6 + 18 - 6

AC = 24

Hence, the value of AC is 24. The correct option is B. 24

Learn more on the Properties of a rectangle here: brainly.com/question/23008020

#SPJ1

4 0

2 years ago

If h(x) is the parent function, which equation describes the function song shifted 3 units left and 5 units down?​

If h(x) is the parent function, which equation describes the function song shifted 3 units left and 5 units down?