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gayaneshka [121]
2 years ago
13

|x - 1| > 4 is equivalent to which of the following?

Mathematics
1 answer:
Vsevolod [243]2 years ago
3 0

Answer:

C. x > 5 or x < - 3

Step-by-step explanation:

  • |x - 1| > 4

Step 1:

x - 1 > 4

x > 4 + 1

x > 5

Step 2:

x - 1 < -4

x < -4 + 1

x < -3

HP: {x > 5 or x < -3} (c)

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What’s 3х + 7&gt;4х +2
Kipish [7]

Answer:

x < 5

Step-by-step explanation:

3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x

x < 5

6 0
3 years ago
Mrs Lim packs 35 big and small bags of candies for her pupils. Each big bag contains 12 candies and each small bag contains 7 ca
Anastasy [175]

Answer:

there are 11 big-bags and 24 small-bags.

Step-by-step explanation:

there are x big-bags and y small-bags.

so now we can know:

(1) x + y = 35

(2) 12x + 7y = 300

in (1),we can do like this:

both left and right x7

then (x + y)x7 = 35 x 7

then 7x + 7y = 35 x 7  

then 7x + 7y = 245

now,

(1)7x + 7y =245

(2)12x + 7y = 300

we can both left and right do this: (2) - (1)

then

(12x + 7y) - (7x + 7y) = 300 -245

then

12x + 7y - 7x - 7y = 300 -245

then

12x - 7x +7y - 7y =300 -245

then

5x =55

then

5x ÷ 5 = 55 ÷ 5

then

x = 11

because

x + y =35;x=11

so

11 + y =35

11+ y -11 = 35 -11

then

y = 24

now we know:there are 11 big-bags and 24 small-bags.

3 0
3 years ago
They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
alex41 [277]

Answer:

A. Area of ABCD = 240 cm^{2}

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A.  Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

                                                     = 24 x 10

                                                     = 240 cm^{2}

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

BD^{2} = BC^{2} + DC^{2}

       = 10^{2} + 24^{2}

       = 676

BD = \sqrt{676}

     = 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

                                         =   60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

     = 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

                                                                 = 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

                                                                 = 50 cm

       

7 0
3 years ago
Which points are on the graph of ƒ(x) = 2(0.5)^x
Slav-nsk [51]
<span> <span><span> x           y=2*(0.5)^x

 </span><span>-10       2048 </span> <span>
-9          1024
</span> <span> -8            512 </span> <span>
-7            256 </span> <span>
-6            128
</span> <span> -5              64
</span> <span> -4              32 </span> <span>
-3              16
 </span><span>-2               8 </span> <span>
-1                4 </span> <span>
0                 2 </span> <span>
1                1 </span> <span>
2                0.5 </span> <span>
3                0.25
</span> <span> 4                0.125 </span> <span>
5                0.0625 </span> <span>
6                0.03125 </span> <span>
7                0.015625
</span> <span> 8                0.0078125 </span> <span>
9                0.00390625
</span> <span> 10              0.00195313

As x goes to negative infinity the function grows to infinity.

As x grows to infinity the function decreases an approximate to zero. </span></span></span>
5 0
3 years ago
1 What is the solution to the system of equations?
WARRIOR [948]
1. The answer is B (4, -1)
2. The answer is B (-2, 5)
4 0
3 years ago
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