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3 years ago

If f(x) and its inverse function, F(x), are both plotted on the same coordinate plane, what is their point of intersection?

Mathematics

1 answer:

polet [3.4K]3 years ago

5 0

Answer: d) (3, 3)

Step-by-step explanation:

Inverse is when you swap the x's and y's.

Let's look at the points and find their inverse:

f(x) f⁻¹(x)

(0, -2) --> (-2, 0)

(1, -1) --> (-1, 1)

(2, 0) --> (0, 2)

(3, 3) --> (3, 3) f(x) = f⁻¹(x) so this is where they intersect!

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The area of the rectangle shown is 66m^2

tekilochka [14]

Answer:

143cm

Step-by-step explanation:

Area=2(l+b)

Substitute the values for the variables.

66=2(l+22/5)

66=2xl+2x22

66=2l+44

Cross multiply

66x5=2l+44

330=2l+44

Collect like terms

-2l = 44-330

-2l = -286

-2l = -286

-2 -2

l=143

The missing length is 143m.

3 0

2 years ago

How to simplify 2431-187

evablogger [386]

2,431 - 187 = 2,244.

7 0

3 years ago

Need help with this math question

olga_2 [115]

The correlation coefficient is -0.87; strong correlation

<h3>How to determine the correlation coefficient?</h3>

The given parameters are:

x = Time spent working out

y = lbs Overweight

Next, we enter the table of values in a graphing tool.

From the graphing tool, we have the following summary:

X Values

∑ = 27.1
Mean = 2.71
∑(X - Mx)2 = SSx = 22.569

Y Values

∑ = 89
Mean = 8.9
∑(Y - My)2 = SSy = 778.9

X and Y Combined

N = 10
∑(X - Mx)(Y - My) = -114.19

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -114.19 / √((22.569)(778.9))

r = -0.8613

Approximate

r = -0.87

This means that the correlation coefficient is -0.87

Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1

6 0

2 years ago

(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28

Veronika [31]

$(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}$

4 0

3 years ago

Read 2 more answers

If you go out to eat with 3 friends and your meal was $72.50, what should you leave for gratuninty if you want to tip your waite

kvv77 [185]

Answer:

$10.88 or round up to $11

Step-by-step explanation:

Since 15 is expressed as a percent, you can convert it to a decimal.

.15, which can also be 15/100 if you were to write it as a fraction.

You are trying to find 15% of 72.50 so you would need to multiply your new decimal (.15) to your meal total. This will give you 10.875 or 10.88.

5 0

3 years ago