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3 years ago

The graph of the function f(x)=−|2x| is translated 4 units down.

Mathematics

1 answer:

Novay_Z [31]3 years ago

5 0

Answer:

$g(x)=-\left | 2x \right |-4$

Step-by-step explanation:

The parent function is given as

$f(x)=-\left | 2x \right |$

during transformation , the graph is pulled down by 4 units, hence the value of y is decreased by 4 units

Hence

For new function

$g(x)=f(x)-4\\f(x)=-\left | 2x \right |$

Hence

$g(x)=-\left | 2x \right |-4$

please refer to the image attached in this regard

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The product of two numbers is 41. One of the numbers

shepuryov [24]

<h3>Answer: 5 - 4i (choice A)</h3>

===================================================

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

3 0

2 years ago

The graph of the step function g(x) = –⌊x⌋ + 3 is shown. On a coordinate plane, a step graph has horizontal segments that are ea

AleksAgata [21]

Answer:

{x| –2 ≤ x < 5}

Step-by-step explanation:

There is a box function plotted on the graph.

The function is g(x) = –⌊x⌋ + 3.

Now, we know that a box function represents a step graph having horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle.

It is given that the left-most segment of the given graph goes from (-2,5) to (-1,5) and the rightmost segment goes from (4,-1) to (5,-1).

So, for the left most segment the domain is -2 ≤ x < -1

And for the right most segment the domain is 4 ≤ x < 5

Therefore, the total domain of g(x) will be {x| –2 ≤ x < 5} (Answer)

8 0

2 years ago

Read 2 more answers

What pair describes 6 and 4

viktelen [127]

Alternate interior angles I believe

4 0

2 years ago

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.

Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

$m\angle O+m\angle P+m\angle Q=180^\circ$ [Angle sum property]

$26^\circ+m\angle P+90^\circ=180^\circ$

$m\angle P+116^\circ=180^\circ$

$m\angle P=180^\circ -116^\circ$

$m\angle P=64^\circ$

According to Law of Sines, we get

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using the Law of Sines, we get

$\dfrac{p}{\sin P}=\dfrac{o}{\sin O}$

$\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}$

Substituting the given values, we get

$\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}$

$\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}$

$\dfrac{4.9}{0.89879}\times 0.43837=PQ$

$2.38989=PQ$

Approximate the value to the nearest tenth of a foot.

$PQ\approx 2.4$

Therefore, the length of PQ is 2.4 ft.

4 0

3 years ago

Hana rents a car for a day. Her car rental company charges $50 per day and $0.40 per mile. Peter rents a car from a different co

erastova [34]

50 + .4x = 70 + .3x

.4x = .3x + 20

.1x = 20

x = 200

Let x be the number of miles.

They have to drive 200 miles.

4 0

3 years ago