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2 years ago

The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. Which equation describes the function g?

Mathematics

2 answers:

sertanlavr [38]2 years ago

5 0

I took the test and this was the answer

nika2105 [10]2 years ago

4 0

ANSWER

The correct answer is $g(x)=-x-6$

EXPLANATION

The mapping for reflection across the x-axis is given by $(x,-y)$

Given $f(x)=x+6$ . We can let $y=x+6$

we can write the ordered pair $(x,y)$ or $(x,x+6)$ as the ordered pair of the preimage of $f$ .

The image function will have the ordered pair $(x,-y)$

or

$(x,-x-6)$ .

That is, we negate all the y-coordinates.

Therefore

$g(x)=-x-6$ .

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T varies inversely as the square root of u.<br>t = 3 when u = 4.<br>Find t when u = 49.

RoseWind [281]

Answer:

t = $\frac{6}{7}$

Step-by-step explanation:

Given that t varies inversely as the square root of u then the equation relating them is

t = $\frac{k}{\sqrt{u} }$ ← k is the constant of variation

To find k use the condition t = 3 when u = 4, thus

k = t $\sqrt{u}$ = 3 × $\sqrt{4}$ = 3 × 2 = 6

t = $\frac{6}{\sqrt{u} }$ ← equation of variation

When u = 49, then

t = $\frac{6}{\sqrt{49} }$ = $\frac{6}{7}$

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2 years ago

You have just timed a person doing a hair cut for the first time. It took 50 minutes. What unit improvement factor learning curv

Sladkaya [172]

Answer: C. 70 percent

Step-by-step explanation:

Given, Time for the first unit = 50 minutes

Time for the second unit = 35 minutes

The unit improvement factor learning curve = (The time for the second unit) ÷ (time for the first unit) x 100.

So, The unit improvement factor learning curve = 35÷ 50 × 100 = 70 percent.

Hence, the correct option is "C. 70 percent".

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2 years ago

Leo's townhouse has a market value of $310,000. The property in Leo's area is assessed at 40% of the market value. The tax rate

miss Akunina [59]

Market value = $310,000

Since market value for tax purposes is 40% of the actual market value,

Market value for tax assessment = $310,000*40% = $124,000

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Hence tax to be paid by leo = $124000*14.51% = $17992.40

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2 years ago

Which of the following statements must be true about this diagram? Check all that apply.

pishuonlain [190]

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.

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2 years ago

If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this

otez555 [7]

Answer:

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

$\sqrt{r^{2} } = \sqrt{1600} \\r = 40$

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

7 0

2 years ago

Read 2 more answers