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2 years ago

10

Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line

x = −6.

1 answer:

yaroslaw [1]2 years ago

5 0

Answer:

<h3>it lies in X axis</h3>

Step-by-step explanation:

<h2>just go in grape and put all number it lies in X axis</h2>

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Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly

Alex17521 [72]

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

$(A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\$

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

$(A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)$

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

$\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)$

As $\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0$

So, $\frac{dy}{dx}>0$

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

$\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)$

As $\ln \left(\frac{2}{3}\right)=\ln(0.67)0$

So, $\frac{dy}{dx}$

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C) represents $y=2\left(\frac{2}{3}\right)^x$ the given graph.

Hence, option (C) is correct.

6 0

2 years ago

A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? A.

Grace [21]

A is the answer i think

8 0

2 years ago

Read 2 more answers

In the seventh grade, the ratio of girls to boys is 7:5. If there are 21 girls in the seventh grade, how many boys are there?

Morgarella [4.7K]

We first should find how 7 relates to the 21 girls.

To do this we can divide.

The 21 girls by the 7 ratio

21 divided by 7 is 3

So 1 out of 7 in the ratio is 3 girls

We can now move this over to the boys.

If 1 means 3, and their are a ratio of 5 boys

We do 5 x 3,

Which equal 15.

Their are 15 boys in 7th grade.

Hope this helps!
Brainliest is always appreciated if you feel its deserved!

7 0

2 years ago

Read 2 more answers

For a wedding the bride must select 4 bridesmaids from her 6 closest friends and must arrange them in order for the ceremony. Ho

Hitman42 [59]

360 arrangements of 4 bridesmaids from her 6 closest friends are possible !

<u>Step-by-step explanation:</u>

Here we have , For a wedding the bride must select 4 bridesmaids from her 6 closest friends and must arrange them in order for the ceremony. We need to find How many arrangements of 4 bridesmaids from her 6 closest friends. Let's find out:

We know that formula for permutation is given by :

⇒ $nP_r = \dfrac{n!}{(n-r)!}$

According to question we have following parameters as : n = 6 , r = 4

⇒ $6P_4 = \dfrac{6!}{(6-4)!}$

⇒ $6P_4 = \dfrac{6!}{(2)!}$

⇒ $6P_4 = \frac{6(5)(4)(3)2!}{(2)!}$

⇒ $6P_4 =360$

Therefore , 360 arrangements of 4 bridesmaids from her 6 closest friends are possible !

5 0

3 years ago

Helppppppp I’ll give you 10 pointssss plzzz

12345 [234]

Answer:
$113.40
explanation:
TV = $180
40% = 40/100 = .4
$180 * .4 = $72
$180 - $72 = $108 is the sales price.
Sales tax
5% = 5/100 = .05
$108 * .05 = $5.40
$108 + $5.40 = $113.40
The TV costs $113.40 including tax, after the discount.

5 0

2 years ago

Read 2 more answers