Explain why x2+7x+4=7x has no solutions.

Answers

Answer 1
Answer:

x^2+7x+4=7x

x^2+4=0

x^2=-4

Square of any real number cannot be negative because - * - = + so this equation has no solutions


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What is the solution of the system defined by y = -x + 5 and 5x + 2y = 14?

Answers

The two equations given in the question are
y = - x + 5
and
5x + 2y =14
Now we will have to put the value of y from the first equation in the second equation and then calculate.
5x + 2y = 14
5x + 2(-x + 5) = 14
5x - 2x + 10 = 14
3x = 14 - 10
3x = 4
x = 4/3
Now we have to put the value of x in the first equation for determining the value of y
y = - x + 5
   = - (4/3) + 5
   = (15 - 4)/3
   = 11/3
So the value of x is 4/3 and the value of y is 11/3.

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books.

Answers

Number of magazines = m
Number of books = b

The cost of one magazine = $3.95
The cost of one book = $8.95

3.95m + 8.95b = 47.65

Answer: is c. 3.95m+8.95b=47.65

Step-by-step explanation:

Express 0.77230.77230, point, 7723 as a fraction

Answers

Answer:

7723/10000

Step-by-step explanation:

$100 is deposited in a saving account at the beginning of the year. Beginning each month the amount deposited is 3 times the previous month. On Jun 15th of the same year, what will be the amount in the account?

Answers

109350. I think this because 100 times 3to the 6th power is 72900.
u will probably have close to $$1000

You take a walk and notice dogs in the dog park. There are a total of 8 small and large dogs. You realize there are 2 more large dogs than small dogs. How many are there of large and small dogs?

Answers

There are 5 large dogs and 3 small dogs

Solution:

Let "S" be the number of small dogs

Let "L" be the number of large dogs

Given that There are a total of 8 small and large dogs

So we can frame a equation as:

number of small dogs + number of large dogs = 8

S + L = 8 ------- eqn 1

You realize there are 2 more large dogs than small dogs

Number of large dogs = 2 + number of small dogs

L = 2 + S  -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "L" and "S"

Substitute eqn 2 in eqn 1

S + 2 + S = 8

2S + 2 = 8

2S = 6

S = 3

Substitute S = 3 in eqn 2

L = 2 + 3 = 5

L = 5

Thus there are 5 large dogs and 3 small dogs

Answer:

5 large dogs and 3 small dogs

Step-by-step explanation:

Pick a product that might be packaged in the shape of a rectangular prism.Surface Area: S.A.=2lw+2wh+2lh
Volume: V=lwh

Choose an appropriate length, width, and height for your package so that it can fit the product you are shipping. Using these dimensions, what is the ratio of surface area to volume?

Answers

Let us assume the following units of measure:
Length = 10 inches
Width = 5 inches
Height = 8 inches

Surface area = 2lw + 2wh + 2lh
S.A = 2(10in * 5in) + 2(5in * 8in) + 2(10in * 8in)
S.A = 2(50in²) + 2(40in² + 2(80in²)
S.A = 100in² + 80in² + 160in²
S.A = 340 in²

Volume = lwh
V = 10 in * 5 in * 8 in
V = 400 in³

ratio of the surface area to volume?
340 in² / 400 in³ = 34 / 40 in = 17/20 in

Answer:

Product: Iphone 6s plus box

W= 3in L= 6in H= 3in

And then use the surface area equation ( SA = 2lw + 2wh + 2lh)

To get your volume use the equation ( V = lwh)

And then divide those two SA / V and you get your ratio

Task 1 complete!!

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Step-by-step explanation: