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xenn [34]
3 years ago
14

Two functions are defined as shown.

Mathematics
2 answers:
maxonik [38]3 years ago
7 0

Answer:

Graph (2).

Step-by-step explanation:

Given question is incomplete: Find the complete question in the attachment.

Given : f(x) = -\frac{1}{2}x-2

            g(x) = - 1

To find : The graph showing f(x) = g(x)

If the given functions f(x) = g(x)

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

-\frac{1}{2}x=-1+2

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

x = -2

That means both the functions have the same value at x = -2

f(-2) = g(-2) = -1

In other words, both the lines will intersect at a point (-2, -1).

From the given graphs,

Graph number (2) shows the required results.

A straight line g(x) = -1 parallel to x- axis and another straight line f(x) = -\frac{1}{2}x-2, intersect each other at (-2, -1).

Therefore, Graph (2) will be the answer.

kolezko [41]3 years ago
6 0

Answer:

2nd Graph

Step-by-step explanation:

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podryga [215]
Hello,

When you dilate a shape by a scale factor of 2, you simply multiply the coordinates by 2.

Therefore, the points become:
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Gala2k [10]
Hi there! There are 5,280 feet in one mile, and there are 30.48 cm per foot. To find the amount of centimeters in one mile, all you have to do is multiply 30.48 by 5,280. 30.48 * 5,280 is 160,934.4. There. There are 160,934.4 centimeters in one mile.
5 0
4 years ago
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240​
melisa1 [442]

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

6 0
3 years ago
11<br> The 7th term of Ap is 27 and the 12th term is 47.what is the sequence
inessss [21]

Answer:

3, 7, 11, 15, 19, 23, 27,.......

Step-by-step explanation:

Let the first term and the common difference of the AP be a and d respectively.

a_7 = 27 .....(given)

Therefore,

a + (7- 1) d = 27

a + 6d = 27

a = 27 - 6d...... (1)

a _{12} = 47.....(given)

Therefore,

a + (12 - 1) d = 47

a + 11d = 47......(2)

From equations (1) & (2)

27 - 6d + 11d = 47

24 + 5d = 47

5d = 47 - 27

5d = 20

d = 20/5

d = 4

Plug d = 4 in equation (1) we find:

a = 27 - 6*4

a = 27 - 24

a = 3

Therefore,

a_1 = a = 3

a_2 = a_1 + d= 3 + 4 = 7

a_3 = a_2 + d= 7 + 4 = 11

a_4 = a_3 + d= 11 + 4 = 15

a_5 = a_4 + d= 15 + 4 = 19

a_6 = a_5 + d= 19 + 4 = 23

a_7 = a_6 + d= 23 + 4 = 27

Thus, the sequence is: 3, 7, 11, 15, 19, 23, 27,.......

8 0
3 years ago
The domain and range of all linear functions, with the exception of vertical and horizontal lines, is
Ede4ka [16]

Answer:

All real numbers

Step-by-step explanation:

Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.

An example is given below. The domain and range of the function are all real numbers.

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