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3 years ago

Which of the following are CORRECT answers

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

$(2x+3)^2=11\to2x+3=\pm\sqrt{11}\ \ \ |-3\\\\2x=-\sqrt{11}-3\ \vee\ 2x=\sqrt{11}-3\ \ \ |:2\\\\x=\dfrac{-\sqrt{11}-3}{2}\ \vee\ x=\dfrac{\sqrt{11}-3}{2}$

Answer: C. and E.

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12 and 15

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15+12=27

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2 years ago

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Find the distance between (4,6) and (-2, -2)

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Answer:

$\displaystyle d = 10$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-2, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]: $\displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}$
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Exponents: $\displaystyle d = \sqrt{36+64}$
Add: $\displaystyle d = \sqrt{100}$
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2 years ago

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Answer:

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Step-by-step explanation:

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PLEASE HELP IMMEDIATELY

grandymaker [24]

Answer:

a) C(d) = 37.95 + 0.62d

b) C(74) = 37.95 + 0.62(74)

83.8 dollars

c) 8181 miles

Step-by-step explanation:

The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.

So if one person travels one mile they will pay:

37.95 + 0.62

Two miles: 37.95 + 0.62 (2)

Three miles: 37.95 + 0.62 (3)

d miles: 37.95 + 0.62(d)

Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d

Now, if we drive 74 miles, the function that gives us the cost would be:

C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars

Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:

$C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7$

Thus, we could drive 8181 miles

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3 years ago

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