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arlik [135]
3 years ago
14

Simplify.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
(x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6
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(1 + 7m)(4) what is it simplified
jek_recluse [69]
Answer
4+21m
Explanation
Use the distributive property 4 times 1 and 4 times 7m keep the m
4 0
2 years ago
Answer correctly please
Paul [167]

Answer:

\$272,49

Step-by-step explanation:

7. \displaystyle /text{The answer makes sense because since the depreciation rate is 15%, we know that we need to use the "exponential decay" formula.}

6. \displaystyle /text{After a depreciation rate of 15% for the past 8 years, the stock is now worth approximately $272,49.}

5. \displaystyle 1000[0,85]^8 = 272,490525 ≈ \$272,49

4. \displaystyle 1000 = a \\ -15\% + 100\% = 1 - r; 85\% = 1 - r \\ 8\:years = time\:[t]

3. \displaystyle /text{We need to use the "Exponential Decay" formula} - f(t) = a[1 - r]^t, where a > 0

2. \displaystyle /text{How much is the stock worth after a depreciation rate of 15% per year?}

1. \displaystyle /text{initial amount: $1000, a depreciation rate of 15%, and a time period of 8 years}

I am joyous to assist you anytime.

5 0
3 years ago
Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)
satela [25.4K]
The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
3 0
3 years ago
Each day jake donates money to the global hunger initiative according to how many lunch specials he sells. What is the constant
Vaselesa [24]

Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5Since it's y/x, and x is what you input into the function (and y is what you get out), we get that the amount donated is based off of the lunch specials, so we get y(12)/x(60)=12/60=1/5.

3 0
2 years ago
NO LINKS!!!! Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.​
valina [46]

#1

  • l=6
  • b=4
  • h=10

LsA

  • 2×h(l+b)
  • 2(10)(6+4)
  • 200.00m²

TSA

  • 2(lb+bh+lh)
  • 2(6×4+4×10+10×6)
  • 2(24+40+60)
  • 248.00m²

Volume.

  • lbh
  • 10(6)(4)
  • 240m³

#2

  • l=5ft
  • b=8ft

LSA

  • 3lb
  • 2(5)(8)
  • 120ft²

TSA

Hypotenuse=√5²+8²=√89=9.4

  • 5(8)+9.4(12)+12(8)+5(12)
  • 40+112.8+96+60
  • 308.8ft²

Volume

  • Area of base×Height
  • 1/2(5)(8)(12)
  • 20(12)
  • 240ft³
3 0
2 years ago
Read 2 more answers
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