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OLga [1]
2 years ago
10

Write the rule of transformation

Mathematics
1 answer:
netineya [11]2 years ago
6 0

Answer:

The biconditional statement of the rule of transposition (↔) refers to the relation between hypothetical (→) propositions, with each proposition including an antecent and consequential term. ... The truth of the rule of transposition is dependent upon the relations of sufficient condition and necessary condition in logic.

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The sum of the roots of 3x 2 + 11x - 4 = 0 is<br><br> -11/3<br> -4/3<br> 11/3<br> 4/3
givi [52]

Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0             .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

3x^2+11x-4=0          ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

\frac{-b}{a}=-\frac{11}{3}

The sum of roots is -\frac{11}{3}.

Therefore the correct option is 1.

5 0
3 years ago
Please help! I will give 5 star rating and brainlest ! To anyone that helps with this question
kiruha [24]

Answer:

wat is the question?

Step-by-step explanation:

5 0
3 years ago
Complete the table of values
Agata [3.3K]
Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify! 

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, 3^{-2} =&#10;\frac{1}{3^{2} }.
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, (\frac{3}{4}) ^{3}  =  \frac{ 3^{3} }{4^{3} }.
3) The zero exponent rule<span> says that any number raised to zero is 1. For example, 3^{0} = 1.
</span>

Back to the Problem:
Problem 1 
The x-values are in the left column. The title of the right column tells you that the function is y =  4^{-x}. The x-values are:
<span>1) x = 0
</span>Plug this into y = 4^{-x} to find letter a:
y = 4^{-x}\\&#10;y = 4^{-0}\\&#10;y = 4^{0}\\&#10;y = 1
<span>
2) x = 2
</span>Plug this into y = 4^{-x} to find letter b:
y = 4^{-x}\\ &#10;y = 4^{-2}\\ &#10;y =  \frac{1}{4^{2}} \\  &#10;y= \frac{1}{16}
<span>
3) x = 4
</span>Plug this into y = 4^{-x} to find letter c:
y = 4^{-x}\\ &#10;y = 4^{-4}\\ &#10;y =  \frac{1}{4^{4}} \\  &#10;y= \frac{1}{256}
<span>

Problem 2
</span>The x-values are in the left column. The title of the right column tells you that the function is y =  (\frac{2}{3})^x. The x-values are:
<span>1) x = 0
</span>Plug this into y = (\frac{2}{3})^x to find letter d:
y = (\frac{2}{3})^x\\&#10;y = (\frac{2}{3})^0\\&#10;y = 1
<span>
2) x = 2
</span>Plug this into y = (\frac{2}{3})^x to find letter e:
y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\&#10;y =  \frac{4}{9}
<span>
3) x = 4
</span>Plug this into y = (\frac{2}{3})^x to find letter f:
y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}
<span>
-------

Answers: 
a = 1
b = </span>\frac{1}{16}<span>
c = </span>\frac{1}{256}
d = 1
e = \frac{4}{9}
f = \frac{16}{81}
5 0
3 years ago
the spoke of a wheel reaches from the center of the wheel to its rim if the circumstance of the rim of the wheel is 27 inches ho
aleksley [76]
Circumference = 2*pi*r = 27"
Solve for r
r=27"/(2*pi)
=27"/(2*3.14159265)
=4.297..."
=4.30" (to the nearest hundredth of an inch)

7 0
3 years ago
The new total is $60,but the sales tax is 5% of the bill. How much is the sales tax?
Serhud [2]
3. .5*60 because .5 represents the 5% and "of" stands for multiplication
7 0
2 years ago
Read 2 more answers
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