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2 years ago

What is the quotient of 2 2/7 divided by 4/7

Mathematics

1 answer:

denis23 [38]2 years ago

7 0

The answer is 4.

Solution:

2 2/7 ÷ 4/7

Transform to improper fraction,

So,

16/7 ÷ 4/7

16/7 × 7/4

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Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.

soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) = lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

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4 0

1 year ago

Solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4

Diano4ka-milaya [45]

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

$((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4$

Step 2: Use BPEMDAS to evaluate

$(-1.24573)^{4(3^{\frac{1}{5} })^4$

$(-1.24573)^{4(1.24573)^4$

$(-1.24573)^{4(2.40822)$

$(-1.24573)^{9.6329}$

= 8.30256

And we have our answer!

8 0

3 years ago

Can anyone teach mee.....................

andrew11 [14]

Answer:

(i) The name of the part of the circle, OQ is a radius

(ii) The radius of the sector QOR is 21 cm

Step-by-step explanation:

The given figure is a sector of the circle O

∵ Any sector of a circle formed from 2 radii and an arc

∴ OQ is a radius

(i) The name of the part of the circle, OQ is a radius

The rule of the length of an arc of a circle is L = $\frac{\alpha }{360}$ × 2 π r, where

α is the angle of the sector

r is the radius of the circle

∵ The length of the arc QR is 22 cm

∴ L = 22

∵ The measure of the angle of the arc is 60°

∴ α = 60°

∵ π = $\frac{22}{7}$

→ Substitute them in the rule above

∵ 22 = $\frac{60}{360}$ × 2 × $\frac{22}{7}$ × r

∴ 22 = $\frac{22}{21}$ r

→ Divide both sides by $\frac{22}{21}$

∴ 21 = r

(ii) The radius of the sector QOR is 21 cm

5 0

3 years ago

What is the sum of 5x^2y and (2xy^2 + x^2y)

eimsori [14]

Recognize that you must combine "like" terms. 5x^2y and x^2y are "like" terms.

Adding them together, you get 6x^2y.

Now add 2xy^2 to 6x^2y. These are NOT "like" terms, so you end up with
6x^2y+2xy^2 as your final answer. This answer is acceptable as is.

However, you could factor out the common factors: 2xy(3x+y).

8 0

3 years ago

The sum of 3 consecutive even numbers is 270 what is the first number in this sequence?

ad-work [718]

See picture for answer and solution steps.

6 0

3 years ago

Read 2 more answers