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lyudmila [28]
4 years ago
8

20 POINTS ASAP The graphed line can be expressed by which equation? Math item stem image y+3=32(x+1) y−0=−32(x+1) y−3=32(x−1) y−

0=32(x−1)

Mathematics
2 answers:
storchak [24]4 years ago
7 0

Answer:

The Answer is: y - 3 = 3/2(x - 1)

Step-by-step explanation:

Given Points: (1, 3) and (-3, -3)

Find the slope m:

m = y - y1 / (x - x1)

m = 3 - (-3) / (1 - (-3))

m = 3 + 3 / 1 + 3

m = 6 / 4 = 3/2

Use the point slope form and point (1, 3):

y - y1 = m(x - x1)

y - 3 = 3/2(x - 1)

Hope this helps!  Have an Awesome day!! :-)

Andreyy894 years ago
3 0

Answer:

11

Step-by-step explanation:

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1 Hector puts a fence around his rectangular
prisoha [69]

Answer:

48 feet of fence

Step-by-step explanation:

A rectangle has 4 sides, the parallel sides are equal to each other in length.

If Hector used 14 feet of fence on the long side, he used 28 feet in total for both long sides.

If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.

Put simply: (14 x 2) + (10 x 2) = 48 feet of fence in total

4 0
3 years ago
A retailer incurs a fixed cost of N$ 500 when purchasing sugar for his stock. He pays N$ 10.00 per packet which he resells at N$
Arada [10]

Answer:

100 packets

Step-by-step explanation:

Given :

Cost = fixed cost + variable cost

Fixed cost = $500

Variable cost = $10

Sales price = $15

Let :

Number of packets = x

To break even :

fixed cost + variable cost = sales made

500 + 10x = 15x

500 = 15x - 10x

500 = 5x

x = 500 / 5

x = 100

100 packets

8 0
3 years ago
Y=sqrt(x)(8x-5) find the derivative
garri49 [273]

Answer:

\displaystyle y' = \frac{24x - 5}{2\sqrt{x}}

General Formulas and Concepts:  <u> </u>

<u>Algebra I</u>  

  • Exponentials [Fractions] - Are radicals
  • Exponential Rule [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle y = \sqrt{x}(8x - 5)

<u>Step 2: Differentiate</u>

\displaystyle f(x) = \sqrt{x}, \ g(x) = (8x - 5)

  1. Product Rule:                                                                                                  \displaystyle y' = \frac{d}{dx}[\sqrt{x}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]
  2. Rewrite:                                                                                                           \displaystyle y' = \frac{d}{dx}[x^{\frac{1}{2}}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]
  3. Basic Power Rule:                                                                                          \displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{1 - 1}
  4. Simplify:                                                                                                          \displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{0}
  5. Rewrite:                                                                                                           \displaystyle y' = \frac{1}{2x^{\frac{1}{2}}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8
  6. Multiply:                                                                                                           \displaystyle y' = \frac{8x + 5}{2x^{\frac{1}{2}}} + 8\sqrt{x}
  7. Rewrite:                                                                                                           \displaystyle y' = \frac{8x + 5}{2\sqrt{x}} + 8\sqrt{x}
  8. Add/Rewrite:                                                                                                   \displaystyle y' = \frac{24x - 5}{2\sqrt{x}}
3 0
3 years ago
Please help with graphing inequalities, will give medal and will give 50 points on separate question to whoever can get them all
Zolol [24]
1. B
2. C
3. B
4. D
I hope this helps

6 0
4 years ago
Please help! The image is below
Darina [25.2K]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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