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svp [43]
3 years ago
12

Solve x ^2 + 9x + 8 = 0 by completing the square. What are the solutions?

Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

-1 and -8

Step-by-step explanation:

x^2+2*9/2*x+(9/2)^2-(9/2)^2+8=0

(x+9/2)^2+32/4-81/4=0

(x+9/2)^2-49/4=0

(x+9/2)^2=(7/2)^2

so

x+9/2=7/2

x=7/2-9/2

x=-2/2

x=-1

or

x+9/2=-7/2

x=-7/2-9/2=-16/2

x=-8

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Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid
slava [35]

Answer: h(h-3)(h+4)  

Step-by-step explanation:

To find the volume of rectangular-shaped box  we will have to multiply the length by the width by the height.

Given the statements  we can determine the  length with the equation

L = h -3  where l is the length and h is the height.

the width can also be represent by the equation

w = h + 4        

The height is is h and the length is h- 3  and the width is also h+4  so the expression will be    h(h-3)(h+4)

8 0
3 years ago
34699 to nearest ten thousand
xz_007 [3.2K]

Ones place: 9

Tens place: 9

Hundreds place: 6

Thousands place: 4

Ten thousands place: 3

Which is 34,699

Now that we know 3 is in the ten thousand's place.

So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.

34,699 ---> 30,000

That being said, the answer is 30,000!

I hope this help's! :)

-LizzyIsTheQueen

8 0
4 years ago
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poizon [28]

Here's a photo of the diagram

3 0
3 years ago
Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)
Akimi4 [234]

Answer:

Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

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4 years ago
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