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Rina8888 [55]
3 years ago
11

Find the equation of the linear function represented by the table below in slope intercept form.

Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer:

y = -3x - 2

Step-by-step explanation:

slope (m) = (-8 - -5) / (2 - 1)   ... difference of y/difference of x

m = -3

y = mx + b

y = -3x + b

for (3,-11)    b = y + 3x = -11 + 3x3 = -2

equation: y = -3x - 2

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Answer:

5.625

Step-by-step explanation:

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2 years ago
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Flura [38]

Answer:

A ∩ B = {1, 3, 5}

A - B = {2, 4}

Step-by-step explanation:

The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:

A = {1, 2, 3, 4, 5}

B = {1, 3, 5, 6, 9}

One is asked to find the following:

A ∩ B,

A - B

1. Solving problem 1

A ∩ B,

The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,

A ∩ B = {1, 3, 5}

2. Solving problem 2

A - B

Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).

A - B = {2, 4}

3 0
3 years ago
New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of
SIZIF [17.4K]
First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism. 

(A) cylindrical:
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(B) rectangular prism:
                          (40/100)²(7.5) - (35/100)²(7.5) = 0.28125 m³

Then, we calculate for the amount of substance
 (A) cylindrical:   (0.3 m³)(2700 kg/m³) = 810 kg
 (B) rectangular prism : (0.28125 m³)(2700 kg/m³) = 759.375 kg

Then, calculate for the costs
 (A) (810 kg)($0.38/kg) = $307.8
 (B) (759.375 kg)($0.38/kg) = $288.56

Thus, the answer for A is rectangular post 
B. About $19.24 can be saved. 
6 0
3 years ago
Suppose the sample space for a continuous random variable is 0 to 80. If the area under the density curve for the variable from
nikklg [1K]
Hello,

Area under the curve is 1.

So p(x>5)=1-p(x<5)=1-0.0625=0.9375

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4 0
3 years ago
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xxMikexx [17]

Answer:

D

Step-by-step explanation:

I think it is D because exponential graphs usually have a curve to them. And the one you need is exponential decay so D is negative and exponential.

HOPE THIS HELPS! HAVE A GREAT DAY!! :)

5 0
3 years ago
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