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lora16 [44]
3 years ago
13

The table below shows two equations:

Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

(1) has solutions x = 3, x= - 1.5 and (2) has no solution

solving each equation

(1)

add 5 to both sides

|4x - 3 | = 9 ( remove bars from absolute value )

4x - 3 = 9 or 4x - 3 = - 9 ( by definition )

4x = 9 + 3 = 12 or 4x = - 9 + 3 = - 6

x = 3 or x = - 1.5

(2)

subtract 8 from both sides

|2x + 3 | = - 5

the absolute value cannot be equal to a negative quantity

thus |2x + 3 | = - 5 has no solution


CaHeK987 [17]3 years ago
4 0

Answer:

The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.

Step-by-step explanation:

Rearranging the two equations, you get ...

  • |4x -3| = 9 . . . . . has two solutions
  • |2x +3| = -5 . . . . has no solutions (an absolute value cannot be negative)

The above-listed answer is the only one that matches these solution counts.

_____

Testing the above values of x reveals they are, indeed, solutions to Equation 1.

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tangare [24]

Answer:

D. 29.75

Step-by-step explanation:

To determine the mean, you must add up all the numbers and then divide that number by how many numbers you added.

Here,

21 + 23 + 35 + 40

= 119

You added 4 numbers (21, 23, 35, 40),

so, 119 / 4

= 29.75

Hope this helps and a thank won't hurt! :)

3 0
3 years ago
A bag contains six red and ten black marbles if you pick a marble from the bag what is the probability that the marble will be b
dimulka [17.4K]

Answer:

125

Step-by-step explanation:

The total number of marbles is 6+10 = 16

P (black) = black / total

               = 10/16  = 5/8

With 200 draws, take the probability of P(black) times 200 since the marble is returned each time

200 * (5/8) = 125

We would expect to get 125 black marbles

6 0
3 years ago
Given m angle7=38^ and m angle10=102^ find the measure of each missing angle
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3 years ago
What is the area of the two-dimensional cross section that is parallel to face ABC ?
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8 0
3 years ago
Read 2 more answers
The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a , where a is the area
tatyana61 [14]

Answer:

m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area

Step-by-step explanation:

We are given that The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a --------1

a =  area of the countertops.

we are also given that The retail markup, m, can be represented by the function m(c) = 1.15c.

We are supposed to find  function can be used to find the marked-up price of a marble countertop depending on the area?

Marked up price function : m(c) = 1.15c.

Substitute the value of c form 1

Marked up price function of a marble countertop depending on the area:

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m(c(a))= 4.8875 a

So, Option 1 is true

Hence m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area

5 0
3 years ago
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