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Svetlanka [38]
3 years ago
9

Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+5<13. Shawnee solved the inequality using t

he algebraic method. Compare the two methods.
Mathematics
1 answer:
Katen [24]3 years ago
3 0

@ 2x3 <y+zov

{(0064>*/&66^^^^^^09490-mf

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Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided
scoray [572]
Let me express the equation clearly:

lim x→-9  (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation. 

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0
3 years ago
How many 1-inch cubes will fit into a 3 and 1/2 in rectangular prism?
alexandr402 [8]
Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³

Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes
7 0
3 years ago
Sam and Paul started a business. Their investments were in the ratio 6 : 7, respectively. How much did Paul invest if Sam's inve
salantis [7]

Answer:

$966

Step-by-step explanation:

6/7 =  828/x

Write a proportion.

6x = 7(828) Use cross products.

6x = 5796 Multiply.

x = 966 Divide both sides by 6.

Paul's investment was $966.

4 0
2 years ago
Nathaly lost 29 cups of sugar by accidentally spilling it all over the floor after she cleaned it up,she asked her neighbor she
Taya2010 [7]

She needs 3 3/4 cups more

Step-by-step explanation:

(I think you accidently put the 18 3/4 part twice) but anyways if you add 3/4 and 1/2 you get 1 and 1/4 that will be important later then you do 18 + 6 = 24 and then add your 1 and 1/4 to get a total of 25 1/4 then you just minus that from 29 and get 3 and 3/4

Hope this Helps!

7 0
2 years ago
Can you answer this math homework? Please!
Kay [80]

Step-by-step explanation:

x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\  - 2y =  - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x =  - 2

8 0
2 years ago
Read 2 more answers
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