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3 years ago

(0,-4) graph the vertex

Mathematics

1 answer:

arsen [322]3 years ago

5 0

Answer:

Look below for the screenshot :)

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PLEASE HELP WILL MARK BRAINIEST -see attachment-

TiliK225 [7]

Answer:

f(x) and g(x) are inverses

Step-by-step explanation:

* Lets check the inverse function

- If f(x) = y has a domain = x and a range = y, then f^-1 is the

inverse of f with a domain = y and a range = x

- f(x) = f^-1(x) = x

* Now lets solve the problem

∵ f(x) = 8/x

∵ g(x) = 8/x

∴ fg(x) = f(8/x)

∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication

sign and reciprocal the fraction after the division sign

∴ fg(x) = 8 × x/8 = x

* Now lets find gf(x)

∴ gf(x) = g(8/x)

∴ gf(x) = 8/(8/x) = 8 ÷ 8/x

∴ gf(x) = 8 × x/8 = x

∵ f(x) = f^-1(x) = x

* fg(x) = gf(x) = x

∴ f(x) and g(x) are inverses

4 0

3 years ago

Mark the statements that are true.

mixer [17]

Answer:

A, D

Step-by-step explanation: those are the right naswers

5 0

3 years ago

Use the diagram to answer the questions.

Katarina [22]

No, the slopes are not equal

4 0

3 years ago

Determine the sum of the terms in the series 25 + 30 + 35 + ⋯ + 245. Show your work.

scoray [572]

Answer:

6075

Step-by-step explanation:

Given series is: 25 + 30 + 35 + ⋯ + 245.

Here, first term (a) = 25
Common difference (d) = 5
Last term $(a_n) = 245$

First we find the number of terms that this series has by the following formula:

$a_n = a+(n-1)d$

Plugging the values of a, d and $a_n$ , we find.

$245 = 25+(n-1)5$

$\implies 245 - 25=(n-1)5$

$\implies 220=(n-1)5$

$\implies \frac{220}{5}=n-1$

$\implies 44=n-1$

$\implies 44+1=n$

$\implies\red{\bold{ n=45}}$

Thus, the given series contains 45 terms.

Next, we find the sum of the given series using the formula given below.

$S_n = \frac{n}{2}(a+a_n)$

$\implies S_{45}= \frac{45}{2}(25+245)$

$\implies S_{45}= \frac{45}{2}(270)$

$\implies S_{45}=45*135$

$\implies\orange{\boxed{\boxed{\boxed{\bold{ S_{45}=6075}}}}}$

6 0

2 years ago

What is the determinant of 15 18 154

IgorC [24]

Answer:

The determinant is 15.

Step-by-step explanation:

You need to calculate the determinant of the given matrix.

1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):

$\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]$

2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):

$\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]$

3. Expand along the row 2: (See attached picture).

We get that the answer is 15. The determinant is 15.

6 0

4 years ago