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2 years ago

|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>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

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]

x y=2*(0.5)^x

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

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