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Step2247 [10]
2 years ago
15

Write a linear function f with the values f(0)=−3 and f(7)=11 A function is f(x)=

Mathematics
1 answer:
Rudik [331]2 years ago
4 0

Answer:

f(x) = 2x - 3

Step-by-step explanation:

x    y

0  -3

7   11

when x = 0, y = -3.  When x increases by 7, y increases by 14, or when x increases by 1, y increases by 2.

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Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
Alik [6]

Answer:

Option d

Step-by-step explanation:

If the graph of the function y=cf(x) +b  represents the transformations made to the graph of y= f(x)  then, by definition:

If  0 then the graph is compressed vertically by a factor c.

If  |c| > 1 then the graph is stretched vertically by a factor c.

If c  then the graph is reflected on the x axis.

If b> 0 the graph moves vertically upwards.

If b the graph moves vertically down

In this problem we have the function y=cscx -9 and our parent function is y = cscx

therefore it is true that c =1  and b =-9 < 0

Therefore the graph of y=cscx is not stretched vertically and is not reflected.  however as b then the graph moves vertically 9 units down. <u><em>Observe the image</em></u>

The answer is <em>"vertical translation down 9 units"</em>

6 0
3 years ago
Solve the divison problem (-1 3/5) / (-2/3) as a mixed number
Vitek1552 [10]

Answer:

2\frac{2}{5}

Step-by-step explanation:

<h2> (-1 3/5) / (-2/3) =\frac{12}{5}</h2><h2>\frac{12}{5}=2\frac{2}{5}</h2>
6 0
3 years ago
The triangles shown are similar. Which similarity statement expresses the relationship between the two triangles?
Pani-rosa [81]

Answer:

The similarity statement that expresses the relationship with the two triangles is that  "Triangle P Q R is similar to Triangle W X Y"

Step-by-step explanation:

In drawing and labeling triangles, the three angles are labeled with letters that follow alphabetically. Thus, a triangle  A B C should be in similarity with triangle x y z. Like wise from the above statements, triangle P R Q can only be similar in labeling in the range of W X Y even if the figures are not shown.

5 0
3 years ago
Read 2 more answers
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 48
andrezito [222]

Answer:

y=0.2x+284

Step-by-step explanation:

Let  x be the distance driven, d-distance and C our constant.

Our information can be presented as:

y=mx+c\\\\450=830x+C\ \ \ \ \ \ \ \ \ eqtn 1\\\\380=480x+C\ \ \ \ \ \ \ \ \ eqtn 2

#Subtracting equation 2 from 1:

70=350x\\x=0.2

Hence the fixed cost per mile driven,x is $0.20

To find the constant,C we substitute x in any of the equations:

450=830x+C\ \ \ \ \ \ \ X=0.2\\\therefore C=450-830\times0.2\\=284

Now, substituting our values in the linear equation:

y=0.2x+284       #y=cost of driving, x=distance driven

Hence the linear equation for the cost of driving is y+0.2x+284

7 0
3 years ago
How 152 is shown with blocks
Pie
It will be 1 of the 100block
5 of the tens block and 2 single
4 0
3 years ago
Read 2 more answers
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