Your estimate that the length of a board is 24 feet. The actual length of the board is 22 feet. Find the percent error.

What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)

olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.

For example:

Type of change Effect on y = f(x)

$y = f(x - c)$ horizontal shift: c units to right

So

Considering the function

$f(x) = x^2$

The graph is shown below. The first figure is representing $f(x) = x^2$ .

Now, considering the function

$\:f\left(x\right)=\left(x-6\right)^2$

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shown below in second figure. It is clear that the graph of $\:f\left(x-6\right)=\left(x-6\right)^2$ is shifted 6 units to the right as compare to the function $f(x) = x^2$ .

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing $f(x) = x^2$ and $\:f\left(x\right)=\left(x-6\right)^2$ is represented as being shifted 6 units to the right as compare to the function $f(x) = x^2$ .

5 0

3 years ago

ASAP! Due tomorrow! 25 points! Read the word problem. Write an equation to represent the word problem. Solve the equation. Durin

Marrrta [24]

What you gotta take from this problem:

What Joe got during break = $2t+2$

What his sister gave him = $3t$

What he has total = 10 tadpoles.

Now to assemble this equation:

$2t+2+3t=10$

Now combine like terms to get $5t+2=10$

Subtract 2 on each side of the equation to get $5t=8$

Now you would divide 5 on each side and get $t=1.6$ , however since you can't have a .6 of a tadpole, you would have to round it up to 2.

7 0

3 years ago

Container is shaped like a triangular prism. 3 cm 5 cm

Marianna [84]

ANSWER

$A=222\operatorname{cm}$

EXPLANATION

A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.

B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.

The third rectangular face has a length of 15 cm and a width of 4 cm.

C) The surface area of the prism is the sum of the areas of the faces of the prism.

The area of a triangle is given as:

$A=\frac{1}{2}\cdot b\cdot h$

where b = base, h = height

The area of a rectangle is given as:

$A=l\cdot w$

where l = length, w = width

Therefore, the surface area of the prism is:

$\begin{gathered} A=2(\frac{1}{2}\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}$

4 0

1 year ago

I am thinking of a number that is greater than 142 rounded to the nearest 100 but has a 5 in the ones place! What’s my number!?

Darina [25.2K]

I think your number would be 542

6 0

3 years ago

Find the area of the shaded sector of a circle. Leave ur answer in terms of pi

laila [671]

The area of the shaded sector of a circle is 64 pie cm^2

Here we are given that there is a circle: whose radius is $16$ cm and the angle formed by two radius that is angle of the sector is $90$ .