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3 years ago

22. Write the equation in Slope-Intercept form of the line with an x-intercept of 2

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

5 0

Answer:

y = $\frac{1}{2}$ x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts

m = $\frac{-1-0}{0=2}$ = $\frac{-1}{-2}$ = $\frac{1}{2}$

The y- intercept is - 1 ⇒ c = - 1

y = $\frac{1}{2}$ x - 1

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Lily had 95 inches of yarn. After cutting 4 pieces that were each the same length, she had 15 inches of yarn left.

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Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10

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3 years ago

Read 2 more answers

In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.

Tamiku [17]

Answer:

a) $f(s)=\frac{-11}{3}s+\frac{3245}{3}$ $f(1)=1078 stores$ b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

$m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}$

s=1 in 2003

$s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078$

b) For 2012, s=9. For 2014, s=11

$\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041$

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

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4 years ago

Question 15 of 40

PilotLPTM [1.2K]

Answer:

Option C: n = 32; p^ = 0.4

Step-by-step explanation:

The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10

A) For n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

Thus, it can't be used.

B) For n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok

Thus, it can't be used

C) For n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be used

D) For n = 32 and p = 0.2

np = 32 × 0.2 = 6.4 < 10 Not Ok

Thus it can't be used.

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3 years ago

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Vadim26 [7]

Answer:75%

Step-by-step explanation:

48 over 64 & x over 100

100•48 =4800/64= 75

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