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antoniya [11.8K]
3 years ago
12

How to find the square root of an irrational number without a calculator?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0
The square root is having a sum, ex: 16 and you need to find 2 numbers that are the same numbers and multiply them together and their value equals the said number. Answer: 4 because 4×4=16
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Can anyone solve this for me????
sweet-ann [11.9K]

The old rate of pay is x and the new rate is y then we have:

y = 2x + 7

Y = 21

PART 1:  21 = 2x+7

Subtract 7 from each side:

14 = 2x

Divide both sides by 2:

X = 14 / 2

X = 7

PART 2: The internship pays $7 per hour.

7 0
3 years ago
Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).
Neporo4naja [7]
A. 1/10000 because it is a 1/100 chance for each. 
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer. 
6 0
3 years ago
If the sum of a number and seven is doubled, the result is one less than the number. find the number
lawyer [7]
(n + 7)2 = n - 1
2n +14 = n - 1
2n - n +14 = n - n - 1
n + 14 -14 = -1 - 14
n = -15
(-15 + 7)2 = -15 - 1
(-8)2 = -16
-16 = -16
7 0
3 years ago
Y=x^2 -9x at x = 4 Find an equation of the tangent an an equation of the normal
Montano1993 [528]

The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:

<em>y</em> = <em>x</em>² - 9<em>x</em>   →   d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9

When <em>x</em> = 4, the function takes on a value of

<em>y</em> = 4² - 9•4 = -20

and the derivative is

d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1

Then use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-20) = -1 (<em>x</em> - 4)

<em>y</em> + 20 = -<em>x</em> + 4

<em>y</em> = -<em>x</em> - 24

The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is

<em>y</em> - (-20) = 1 (<em>x</em> - 4)

<em>y</em> + 20 = <em>x</em> - 4

<em>y</em> = <em>x</em> - 24

3 0
3 years ago
Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One p
AleksAgata [21]

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

6 0
2 years ago
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