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2 years ago

.−3(4x + 3) + 4(6x + 1) = 43 What is the solution?

Mathematics

1 answer:

maks197457 [2]2 years ago

6 0

Answer:

x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

-3(4x +3) +4(6x +1) = 43 . . . . . . given

-12x -9 +24x +4 = 43 . . . . . eliminate parentheses

12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

<em>Check</em>

-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

-3(16 +3) +4(24 +1) = 43

-3(19) +4(25) = 43

-57 +100 = 43 . . . . . true

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2 years ago

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2 years ago

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1 year ago

G a survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related

Naily [24]

Answer:

The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

Step-by-step explanation:

The data provided is:

Opinion

Front Footage For Undecided Against Total

Under 45 feet 12 4 4 20

45-120 feet 35 5 30 70

Over 120 feet 3 2 5 10

Total 50 11 39 100

The formula to compute the expected frequency is:

$E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}$

Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:

$E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}$

$E(5)=\frac{10\times 39}{100}=\frac{39}{10}=3.9$

Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

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2 years ago