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cestrela7 [59]
3 years ago
5

Which of the following is an irrational number? A. 3/14 B. square root of 38 C. 3.8

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

B or just google it

Step-by-step explanation:

Rational numbers:

Fractions

Decimals

Whole numbers

Etc.

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Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? A. Three real roots, each with a different
77julia77 [94]

Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

x^3-5x^2+3x+9=0

According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.

At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

(x+1)(x^2-6x+9)=0

(x+1)(x^2-2(3)x+3^2)=0

Using (a-b)^2=a^2-2ab+b^2

(x+1)(x-3)^2)=0

USe zero product property and equate each factor equal to 0.

x=-1,x=3,x=3

Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

7 0
3 years ago
Read 2 more answers
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g
givi [52]

Given :

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.

To Find :

How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.

Solution :

Mass of copper in 50 gm alloy = 50\times 0.12 = 6\ gram.

Mass of copper in 78 gm alloy = 78\times 0.98 = 76.44\ gram.

Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.

Percentage of copper in resulting mixture :

\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%

Hence, this is the required solution.

8 0
4 years ago
About 1414​% of the population of a large country is nervous around strangersnervous around strangers. If two people are randoml
seraphim [82]

One person being nervous around strangers is assumed  independent of other people behaviour. Then, the multiplication rule can be applied as

both nervous = 0.14*0.14 = 0.0196 = 1.96%

one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%

At least one nervous = 1.96%  + 12.04% = 14%

6 0
3 years ago
The price of a new car is $42,500. If the sales tax rate is 6%, what is the total cost for the car including tax?
ozzi

Answer: $45,050

Step-by-step explanation:

First we multipy 0.06 (6%) by 42,500

$42,500 * 0.06 = $2550

This is the tax that must be applied to $42,500

Now all we need to do is add $2,550to $42,500 and we get:

$42,500 + $2,550 = $45,050

7 0
3 years ago
write an eqution in slope intercept form for the line that has the given slope and y intercept: m=-5 and b=-10
Karolina [17]

Answer:

y= -5x + -10

Hope this helps

8 0
3 years ago
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