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Bond [772]
3 years ago
5

HELP will give 40 points and brainest

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

They are not porportional.

Step-by-step explanation:

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Find the gradient, picture below
hoa [83]

Answer:

\frac{dy}{dx}  =  \frac{13}{8}

Step-by-step explanation:

y = 2x + 6 {x}^{ -  \frac{1}{2} }  \\  \frac{dy}{dx} = 2 + 6( -  \frac{1}{2}) {x}^{ -  \frac{1}{2} - 1 }   \\  \frac{dy}{dx}  = 2 - 3 {x}^{ -  \frac{3}{2} }  \\ \frac{dy}{dx}  = 2 -  \frac{3}{ \sqrt{ {x}^{3} } }

When x = 4,

\frac{dy}{dx}  = 2 -  \frac{3}{ \sqrt{ {4}^{3} } }  \\  =  \frac{13}{8}

3 0
3 years ago
Read 2 more answers
Solve and check the linear equation.<br> 3(x-2) + 8 = 2(x + 5)
ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3(x - 2) + 8 = 2(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                                                                                               3(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

3 0
2 years ago
Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
zzz [600]

Answer: 122 sq. in.

Step-by-step explanation:

P = 2 (l + w)

P = 2 (34.5 + 26.5)

P = 2 x 61

P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards

4 0
3 years ago
If the price of an object dropped 75% down to $85.99 what was the original price?
Serggg [28]
If the price of an object drastically dropped 75%, then the dropped price is equal to 25% of the original price. That means that to find the original price, we have to multiply by the reciprocal of 25% (4). The original price would be $85.99 * 4 which is $343.96.
6 0
3 years ago
Twenty-four apple trees produced 220 lbs of apples. At the same rate, how many trees are needed to produce 550 lbs of apples?
defon

Answer:

60

Step-by-step explanation:

220*2 = 440

+ 220/2 = 550

5 0
3 years ago
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