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sladkih [1.3K]
3 years ago
5

What is the slope m in the equation y = -2x + 5

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

<em>m</em> = -2

General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

<u>Step 1: Define function</u>

y = -2x + 5

<u>Step 2: Break function</u>

Slope <em>m</em> = -2

y-intercept (0, 5)

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Answer:

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Which of the following is the equation written in logarithmic form?
BaLLatris [955]

Given the expression b^{3c+1}=5a-d.

Take a logarithm \log_b from both side of the given expression:

\log_b b^{3c+1}=\log_b (5a-d).

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\log_b b^{3c+1}=3c+1.

Then

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6 0
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allsm [11]
The correct answer is y= 0.513(1.833)^x


Explain


We will use the equation on this form

Y=ab^x

Let’s us plug in the coordinates of first point

(X, y) , ( 9, 120)

We will have

Y=ab^x

120= ab^9

Our equation for a will be

Ab^9 = 120

ab ^9 / b^9 = 120/ b^9


a = 120/ b^9

So will have


Y= 120/ b^9 • b^x

Then we will plug in coordinates for the second point


( x,y) = ( 10, 220)

We will have

Y= 120/b^9 • b^x

220 = 120/b^9 • b^10-9


220= 120b

Divide both side by 120

B= 11/6

B= 1.833333 = 1.833



Let’s plug in the value b=11/6 to our equation for a


A= 120/b^9

A= 120/ 11/6^9

A= 120/11^9/6^9


A=120 • 6^9 / 11^9

= 0.51285 which equal to 0.513



So therefore the answer is

Y= 0.513(1.833)^x


I hope this help you

:D
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3 years ago
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7 0
3 years ago
The friendly sausage factory (fsf) can produce hot dogs at a rate of 5,000 per day. fsf supplies hot dogs to local restaurants a
juin [17]

Answer:

a. 21 327 hot dogs/run

b. 70 runs/yr

c. 4 da/run

Step-by-step explanation:

Data:

Production rate (p)           = 5000/da

Usage rate (u)                  =    260/da

Setup cost (S)                   = $66

Annual carrying cost (H) = $0.45/hot dog

Production days (d)         = 294 da

Calculations:

a. Optimal run size

(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)

= 1 470 000 hot dogs/yr

(ii) Economic run size

Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}

= \sqrt{\frac{2\times1470000\times66 }{ 0.45}\times\frac{ 5000}{5000-260 }}

= \sqrt{431200000\times\frac{ 5000}{4740 }}

= \sqrt{454852321}

= 21 327 hot dogs/run

b. Number of runs per year

Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)

= 70 runs/yr

c. Length of a run

Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)

= 4 da/run

8 0
3 years ago
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