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vladimir2022 [97]
3 years ago
8

Given that (-9,-1) is on the graph of f(x) find the corresponding point for the function f(x+3).

Mathematics
1 answer:
Semmy [17]3 years ago
6 0
If you begin with the graph for f(x) and then substitutde x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

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Masja [62]
J is the smallest, then K, then L
5 0
2 years ago
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Answer all..............
Snowcat [4.5K]

A)

3 -  \frac{2}{3}  =  2 \frac{1}{3}

B)

4 +  \frac{2}{5}  = 4 \frac{2}{5}

C)

5 \div  \frac{4}{7}  = 8  \frac{3}{4}

D)

\frac{4}{5}  \times \frac{2}{3 }   =  \frac{8}{15}

e)

\frac{1}{3}  \div  \frac{3}{5}  =  \frac{5}{9}

7 0
2 years ago
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.​
Sholpan [36]
<h3><u>Question</u><u>:</u></h3>

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

<h3><u>Solution</u><u>:</u></h3>
  • Let the age of Tiffany be x years.
  • Then, the age of Emily = 4x years.
  • After 10 years, the age of Tiffany will be (x+10) years.
  • After 10 years, the age of Emily will be (4x+10) years.
  • Therefore, by the problem

4x + 10 = 2(x + 10) \\  = 4x + 10 = 2x + 20 \\   = > 4x - 2x = 20 - 10 \\  =  > 2x = 10 \\  =  > x =  \frac{10}{2}  \\  =  > x = 5

  • So, Tiffany's present age = 5 years.
  • Emily's present age = (4×5) years = 20 years.
<h3><u>Answer:</u></h3>

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

7 0
2 years ago
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5 1 point &gt; 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of an
dmitriy555 [2]

Answer:

∠z = 55°

Step-by-step explanation:

90° - 35° = 55°

6 0
3 years ago
3. A utility pole is 38 ft tall. The pole creates a 53 ft shadow. What is the angle of elevation of the sun? Round your answer t
dybincka [34]

Answer:

The angle of elevation of the sun is 36\degree.

Step-by-step explanation:

Let x be the angle of elevation of the sun as shown in the diagram.


Then the side length which is 38 feet is opposite to x and the side length which is 53 feet is adjacent to x.


Therefore we use the trigonometric ratio that involves the opposite and adjacent sides, which is the tangent ratio.


\tan x=\frac{38}{53}


\Rightarrow \tan x=0.71698


We solve for x to get,


x=\arctan (0.71698)


\Rightarrow x=35.63981


To the nearest degree, the angle of elevation is 36\degree







4 0
3 years ago
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