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Troyanec [42]
2 years ago
9

Please help!!!!!

Mathematics
1 answer:
muminat2 years ago
5 0

Answer: B

Step-by-step explanation:

The area of the entire rectangle is (10+30)(15+10) = 1000, and the area of region II is (30)(15)=450. Hence, the desired probability is 450/1000 = 45%.

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PLEASE HELP<br> Solve. x^2+9x+2=0
Nataliya [291]

Answer:

x = (1/2) (-9 ± √73)

Step-by-step explanation:

Using completing the square method

x²+9x+2=0

x²+9x = -2   (complete the square by adding (9/2)² to both sides)

x²+9x + (9/2)² = -2 + (9/2)²

( x + (9/2) )² = -2+ (9/2)²

( x + (9/2) )² = -2+ (81/4)

( x + (9/2) )² = 73/4

x + (9/2)  = ± √(73/4)

x + (9/2)  = ± √(73) / 2

x = -(9/2) ± √(73) / 2  (factorize out (1/2) )

x = (1/2) (-9 ± √73)

8 0
4 years ago
#9 and #10<br> Please show work
Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

y=2x+3 ----> equation A

x=y-8 ----> equation B

Solve by substitution

Substitute equation A in equation B

x=(2x+3)-8

solve for x

x=2x-5

2x-x=5

x=5

Find the value of y

y=2(5)+3=13

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

x=5y-1 ----> equation A

Remember that

1\ ft=12\ in

To convert inches to feet divide by 12

so

60\ in=60/12=5\ ft

x+y=5 ----> equation B

Solve the system by substitution

substitute equation A in equation B

(5y-1)+y=5

solve for y

5y+y=5+1

6y=6

y=1\ ft

Find the value of x

x=5(1)-1=4\ ft

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

3 0
3 years ago
A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negativ
fenix001 [56]

Answer:

Step-by-step explanation:

The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.

4 0
3 years ago
Read 3 more answers
Answers:<br><br> A and B<br><br> B and D<br><br> A and C<br><br> B and C
tekilochka [14]

Answer:

A and B

I hope this helps you

5 0
4 years ago
Use the number line to help you answer the question.
Ivan

Answer:

|–4| < |–8|, |–5| > 1, |–2| = |2|

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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