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3 years ago

Is the equation a linear function or nonlinear function? y = 0.5x – 1

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

3 0

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 0.5x - 1

Step 2: Compare

y = mx + b

y = 0.5x - 1

m = 0.5

b = -1

The equation is a linear function. It's proportional.

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Tell the value of each expression. 7x10,000 46x10,000 2.65x1000 17.8 x 100

sergeinik [125]

Answer:

1) 70,000

2) 46,000

3) 2,650

4) 1,780

Step-by-step explanation:

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4 years ago

2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of

AleksAgata [21]

Answer:

$y = \frac{5000r}{3} -50$

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

$(r_1,y_1) = (90\%,1450)$

$(r_2,y_2) = (69.6\%,1110)$

Required

Determine the equation in slope intercept form

First, we calculate the slope

$m =\frac{y_2 - y_1}{r_2 - r_1}$

This gives:

$m =\frac{1110 - 1450}{69.6\% - 90\%}$

$m =\frac{-340}{-20.4\%}$

Convert percentage to decimal

$m =\frac{-340}{-0.204}$

$m =\frac{340}{0.204}$

Multiply by 1000/1000

$m =\frac{340*1000}{0.204*1000}$

$m =\frac{340000}{204}$

$m = \frac{5000}{3}$

The equation is then calculated as:

$y - y_1 = m(r - r_1)$

This gives:

$y - 1450 = \frac{5000}{3}(r - 90\%)$

Open Bracket

$y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%$

Convert percentage to decimal

$y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90$

$y - 1450 = \frac{5000r}{3} - 5000*0.30$

$y - 1450 = \frac{5000r}{3} - 1500$

Make y the subject

$y = \frac{5000r}{3} - 1500+1450$

$y = \frac{5000r}{3} -50$

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%20%3D%205x%20%20%2B%201" id="TexFormula1" title="y = 5x + 1" alt="y = 5x + 1" align="absmi

zepelin [54]

Answer:

5+5 and 5x1

Step-by-step explanation:

that is the answer

6 0

3 years ago

Find the eleventh term of the last term of A.P. 27,23,19,.....-65.

myrzilka [38]

The term to term rule is to subtract 4

Term 1 = 27
Term 2 = 27 - 4 = 23
Term 3 = 23 - 4 = 19
Term 4 = 19 - 4 = 15
Term 5 = 15 - 4 = 11
Term 6 = 11 - 4 = 9
Term 7 = 9 - 4 = 5
Term 8 = 5 - 4 = 1
Term 9 = 1 - 4 = -3
Term 10 = -3 - 4 = -7
Term 11 = -7 - 4 = -11

The eleventh term = -11

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4 years ago

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