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3 years ago

Write in standard notation.

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

This is how u write your question in standard form 196.75

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Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

What is the slope of the line? * 3 2 6 5 other: _______

timurjin [86]

Slope = (y2 - y1)/(x2 - x1)

Slope = (6 -0)/(3 - 0)

Slope = 6/3 = 2

Answer

8 0

3 years ago

Read 2 more answers

Here is information about the sandwiches sold by a cafe.

Alina [70]

Answer:

The frequency table is shown below

Step-by-step explanation:

(i) Half of the tuna sandwich were on white bread = 21

On brown bread, tuna = 42 - 21 = 21

(ii) 25% of the ham sandwiches sold were on brown bread.

= 25% (32) = 8

On white bread, 32 - 8 = 24

Frequency table:

Tuna Cheese Ham Total

Brown 21 11 8 40

White 21 15 24 60

Total 42 26 32 100

3 0

2 years ago

14 sandwiches and 3 drinks cost €33.75. 6 sandwiches and 17 drinks cost €26.25 . How much cost 1 sandwich and 1 drink

Soloha48 [4]

Easy!! 1 sandwich and 1 drink costs 3.47

8 0

2 years ago

You and a friend missed the bus so you must wall home from school together. At the park, you part ways.

OLga [1]

Answer:

1.5 miles or kilograms

Step-by-step explanation:

consider marking me brainlist

8 0

2 years ago