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dexar [7]
3 years ago
10

What is the distance between 5 and -4

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

8

Step-by-step explanation:

you just count backwards from 5 until you reach -4

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Alejandra spent her birthday money on a video game that cost 24$,a controller for 13$,and a memory card for 16$ . The total tax
natita [175]

Answer: Alejandra gave $60 to the cashier.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given.

We have to subtract to the amount that Alejandra paid(x) the sum of the costs of each product [videogame (24), controller (13) and memory card (169] and the total tax (3). the expression must be equal to the amount received in change.

Mathematically speaking:

x -(24+13+16+3) = 4

Solving for x:

x - 56 =4

x = 4+56

x =60

Alejandra gave $60 to the cashier.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
1. Let a be a positive real number. In Part (1) of Theorem 3.25, we proved that for each real number x, jxj < a if and only i
krek1111 [17]

Answer:

(a)

if x \geq 0 then  x \geq a and if x<0 then -x > a

(b)

That is straightforward from what you showed on theorem 3.25

(c)

Following the same ideas from (a) x>a or -x > a.

Step-by-step explanation:

Remember how we define the absolute value of a number.

(a)

In general

|x| = x  \,\,\,\text{if}  \,\,\,\, x \geq 0 \\|x| = -x  \,\,\,\text{if}  \,\,\,\, x < 0

Therefore if |x| \geq a   you have two cases, if x \geq 0 then  x \geq a and if x<0 then -x > a

(b)

That is straightforward from what you showed on theorem 3.25

(c)

Following the same ideas from (a) x>a or -x > a.

8 0
3 years ago
If you apply the changes below to the absolute value parent function, f(x) = |Xl,
TiliK225 [7]

Answer:

• Shift 5 units to the left  >>>  f(x) = |x+5|

• Shift 4 units down >>>  f(x) = |x| - 4

Step-by-step explanation:

If we have the parent function:

f(x) = |x|

<u>For horizontal translations:</u>

  • |x-a| means horizontally translated a units right
  • |x+a| means horizontally translated a units left

<u>For Vertical translation:</u>

  • |x| + b means vertically translated b units up
  • |x| - b means vertically translated b units down

From the translation rules, we can say:

Shift 5 units left would be:

|x+5|

and

Shift 4 units down would be:

|x| - 4

7 0
3 years ago
19. Which point in the figure shown is the vertex of an angle?
il63 [147K]

Luckily this is a question that can be answered without the figure, seeing as there isn't one posted..


The vertext of an angle is always the point that the lines connect to. It is the common point of two line segments. For example, look here:



7 0
3 years ago
6) Carpeting costs $9.99 a yard. If Jan buys 17.4 yards, how much will it cost here (Round your answer
kogti [31]

This is the answer

Hope it helped

4 0
2 years ago
Read 2 more answers
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