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Xelga [282]
3 years ago
9

The solution set of the quadratic inequality x squared minus 5 x plus 4 less or equal than 0 is

Mathematics
1 answer:
BigorU [14]3 years ago
7 0

Answer:

it is equal to 0

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Tan 1.1 – tan 4.6/
VladimirAG [237]

The value of the given equation is –0.37458.

Solution:

Given equation is:

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}

Let us first find the values.

The value of tan 1.1 = 1.96475

The value of tan 4.6 = 8.86017

Substitute these values in the given equation.

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}

            $=\frac{1.96475-8.86017}{1+1.96475 \times 8.86017}

            $=\frac{-6.89542}{1+17.4080}

            $=\frac{-6.89542}{18.4080}

            = –0.37458

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}=-0.37458

Hence the value of the given equation is –0.37458.

7 0
3 years ago
The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.
White raven [17]

Answer:

11 and 16

Step-by-step explanation:

A good way to solve these is to work backwards.

X= larger and Y= smaller

if X is 5 more than 2Y than subtract 5 from the total

38 - 5 = 33

divide by 3

33/3 = 11

11 = Y and double that is 22 so add the five back into X and you get 16

8 0
3 years ago
How many centiliters are in 6.02 decaliters?
Aloiza [94]
1 centiliter is .01 of a liter. 

6.02 decaliter is 60.2 liters. 

6.02  decaliter is also 6020 centiliters 

So 6.02 decaliter is 6020 centiliters
6 0
3 years ago
What is the factored form of the expression? 4x^2-81y^2
Tasya [4]
4x^2-81y^2 

(2x)^2-(9y)^2
 

(2x+9y)(2x-9y)
4 0
3 years ago
Read 2 more answers
Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
1 year ago
Read 2 more answers
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