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3 years ago

Completing the sqaure x^2+14x+34

Mathematics

1 answer:

DiKsa [7]3 years ago

7 0

Answer:

-7-√15

Step-by-step explanation:

First move the constant to the right hand side and change it's sign

x^2+14x=-34

Then add (14/2)^2 or 7^2 to both sides

x^2+14x+49=-34+49

Then factor the expression

(x+7)^2=-34+49

Then solve (x+7)^2=15

You should get:

x=-√15-7

x=√15-7

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A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds

Trava [24]

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3 years ago

Your jewelry business orders $1320 in supplies each month. In each month, you can usually sell an earring/ring set for about $55

steposvetlana [31]

Answer:

Given,

The jewelry business orders $ 1320 in supplies each month.

That is, the invested amount = $ 1320,

Also, the selling price of each earring/ring set = $ 55,

Part 1 : Let x be the number of set that have been sold each month to break even ( in which revenue and invested amount are equal )

So, Total revenue ( the cost of x sets) = 55x,

⇒ 55x = 1320

Divide both sides by 55,

We get,

x = 24

Hence, 24 sets are needed to sell each month to break even.

Part 2 : Let y be the number of sets in which the profit is $ 715,

Total revenue = 55x

Profit = Total revenue - invested amount

⇒ 55x - 1320 = 715,

⇒ 55x = 715 + 1320

⇒ 55x = 2035

⇒ x = 37

Hence, 37 sets are sold for the total profit of $715.

Part 3 :

Revenue in selling 7 sets = 55 × 7 = $ 385

Profit = $ 385 - $ 1320 = - $ 935

Hence, the profit is - $ 935 after selling 7 sets.

8 0

3 years ago

HELP ASAP!

mrs_skeptik [129]

Short Answer: 5/36
How many ways can you throw two 6 sided dice?
Since each dice has six sides, the total number of ways is 6*6 = 36 ways.

How many ways can an 8 be thrown? To make the differences easier to see use a green colored die and a red colored die.

Red Green
2 6
6 2
5 3
3 5
4 4 That's five different ways of getting an 8.

The probability is

5 / 36 <<<<< answer

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3 years ago

Find the sum of the first 3 terms of a geometric sequence with a=96 and r=1/4 the sum is____.

viva [34]

For Geometric sequence, the next term is multiplied by the common ratio.

Common ratio, r = 1/4

1st term, a = 96

2nd term = ar = 96*1/4 = 24

3rd term = ar² = 96*(1/4)*(1/4) = 6

Sum of the first three terms = 96 + 24 + 6 = 126

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2 years ago

Write a function g whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5

White raven [17]

A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.

<h3>What is a function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.

The graph of the function is attached with the answer below. In which both functions are graphed.

Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.

To know more about functions follow

brainly.com/question/11740855

#SPJ1

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2 years ago