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4 years ago

Match the compound inequalities

Mathematics

1 answer:

kondor19780726 [428]4 years ago

5 0

I one is 8x<24 and -8≤2x-4

Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x

Hence solution is -2≤x<3

Therefore c is the correct matching for 1.

2) 5x-2>13 or -4x≥8

i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)

Or x>3 or x ≤-2

Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.

Graph b is the correct match.

3) -25≤9x+2<20

Subtract 2

-27≤9x<18: Now divide by positive 9

-3≤x<2

Hence graph is the region between -3 and 2 including only -3.

Graph a is correct matching for question 3.

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Roy has a total of 10 quarters and dimes. The value of the coins is $2.05. He has more quarters then dimes. How many of each coi

Bond [772]

Answer:

Step-by-step explanation:

9 quarters and 8 dimes

9Q= 2.25

8D= 0.80

If you add then together you would get 2.05

5 0

3 years ago

Consider the recursive formula an = (2 + an-1) / 2

wel

Answer: The correct option is B. The third term is 4.

Explanation:

The given recursive formula is,

$a_n=\frac{2+a_{n-1}}{2}$

It is given that the first term is 10. So,

$a_1=10$

To find third term, first we have to find the second term.

$a_2=\frac{2+a_{2-1}}{2}$

$a_2=\frac{2+a_{1}}{2}$

$a_2=\frac{2+10}{2}$

$a_2=\frac{12}{2}$

$a_2=6$

Therefore the second term is 6.

$a_3=\frac{2+a_{3-1}}{2}$

$a_3=\frac{2+a_{2}}{2}$

$a_3=\frac{2+6}{2}$

$a_3=\frac{8}{2}$

$a_3=4$

Therefore, the correct option is B. The third term is 4.

7 0

4 years ago

I’ve been having trouble with these all week!

Kobotan [32]

Answer:

Step-by-step explanation:

so you will move constant to the right side and change the sign. 72x=223-7

then you will subtract the numbers 72x=223-7 and that will give you 72=216

then you will divide both sides by 72 and that will give you

x=3 .

7 0

3 years ago

Read 2 more answers

Whats the equivalent expression for 7(2x + 9)

sertanlavr [38]

14x+63 , distribute the number to all the numbers inside

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4 years ago

A and B together complete a work in 20days. They worked together for 5days and B leaves. How long will A takes to finish the rem

andreev551 [17]

Answer:

27 days

Step-by-step explanation:

A alone, rate per day = 1/36

A and B together, rate per day = 1 / 20

Total Workdone for 5 days :

1/ 20 * 5 = 5 / 20 = 1/4

Fraction of work left :

1 - 1/4 = 3/4

3 / 4 * 36 /1

= (3 * 36) / 4

= 108 / 4

= 27 days

3 0

3 years ago