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4 years ago

PLEASE ANSWER

Mathematics

2 answers:

ehidna [41]4 years ago

7 0

The correct answer is A

melamori03 [73]4 years ago

6 0

Answer:

A. (2,2), (3,2), (3,3), (3,4), (4,6), (5,4), (5,7), (6,4), (6,6), (7,7)

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What is the inverse function f(x)=1/4x-2

Cloud [144]

The inverse function of the function above is f(x) = 4x + 8

You can find the inverse to any function by switching the x and f(x) values. After that, solve for the new f(x) value. The result will be the inverse function. The step-by-step process for this one is done below for you.

f(x) = 1/4x - 2 ----> Start by switching the f(x) and x

x = 1/4f(x) - 2 ----> Now add 2 to both sides

x + 2 = 1/4f(x) ----> Now multiply both sides by 4

f(x) = 4x + 8

Now that you've solved it for the new f(x), you have your inverse function.

3 0

3 years ago

Given T5 = 96 and T8 = 768 of a geometric progression. Find the first term,a and the common ratio,r.

Alona [7]

Answer:

Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.

Step-by-step explanation:

Recall that the direct formula of a geometric sequence is given by:

$\displaystyle T_ n = ar^{n-1}$

Where Tₙ is the nth term, a is the initial term, and r is the common ratio.

We are given that the fifth term T₅ = 96 and the eighth term T₈ = 768. In other words:

$\displaystyle T_5 = a r^{(5) - 1} \text{ and } T_8 = ar^{(8)-1}$

Substitute and simplify:

$\displaystyle 96 = ar^4 \text{ and } 768 = ar^7$

We can rewrite the second equation as:

$\displaystyle 768 = (ar^4) \cdot r^3$

Substitute:

$\displaystyle 768 = (96) r^3$

Hence:

$\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2$

So, the common ratio r is two.

Using the first equation, we can solve for the initial term:

$\displaystyle \begin{aligned} 96 &= ar^4 \\ ar^4 &= 96 \\ a(2)^4 &= 96 \\ 16a &= 96 \\ a &= 6 \end{aligned}$

In conclusion, of the given geometric sequence, the first term a is 6 and its common ratio r is 2.

7 0

3 years ago

*urgent* Determine whether this quadrilateral must be a parallelogram

natta225 [31]

Answer:

It is a parallelogram

Step-by-step explanation:

It has slanted sides.

4 0

3 years ago

Simplify x + 8x - 3x

malfutka [58]

Answer:

Step-by-step explanation:

BODMAS

8x + x = 9x

9x - 3x = 6x

5 0

3 years ago

Plz help. You need to wright an equation and solve it.

SOVA2 [1]

Answer: 8 days

Step-by-step explanation: There is only one fee of 50 dollars. 250-50=200

Divide 200 by 25 to get the number of days.

8 0

3 years ago