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Katarina [22]
3 years ago
8

Write

middle" class="latex-formula"> and \frac{1}{5} as equivalent fractions using a common denominator.
Mathematics
2 answers:
g100num [7]3 years ago
7 0
The answer would be 2/5 is equal to 10/25 and 1/5 would be 5/25
o-na [289]3 years ago
6 0
Zbdbddbdvdbdbdbddhddd
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Find all real $x$ that satisfy $$(2^x - 4)^3 (4^x - 2)^3 = (4^x 2^x - 6)^3. $$
fomenos

The <em>polynomial-like</em> expression is satisfied by the <em>real</em> value <em>x = 1</em>.

<h3>How to determine the real solution of a polynomial-like expression</h3>

In this question we must apply the concepts of logarithms and <em>algebra</em> properties to solve the <em>entire</em> expression. Initially, we expand the right part of the expression:

(2^{x}-4)^{3}+(4^{x}-2)^{3} = (4^{x}+2^{x}-6)^{3}

(2^{x}-4)^{3} + (4^{x}-2)^{3} = [(2^{x}-4)+(4^{x}-2)]^{3}

(2^{x}-4)^{3}+(4^{x}-2)^{3} = (2^{x}-4)^{3}+3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2}+(4^{x}-2)^{3}

3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2} = 0

2^{x}-4 + 4^{x}-2 = 0

2^{x}\cdot 2^{x} + 2^{x}-6 = 0

u^{2}+u - 6 = 0

(u+3)\cdot (u-2) = 0

Hence, the roots of the pseudopolynomial are u_{1} = -3 and u_{2} = 2. Only the second one have a real value of <em>x</em>. Hence, we have the following solution:

2^{x} = 2

x\cdot \log 2 = \log 2

x = 1

The <em>polynomial-like</em> expression is satisfied by the <em>real</em> value <em>x = 1</em>. \blacksquare

To learn more on logarithms, we kindly invite to check this verified question: brainly.com/question/24211708

7 0
3 years ago
50 POINTS Here are the prices for cheese pizza at a certain pizzeria: small pizza is 11.60 medium is unknown large is 16.26
Alexxx [7]

Answer:

ITS AAAAAAA

Step-by-step explanation:

TRUST ME

3 0
2 years ago
Read 2 more answers
What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth. A) 3.2 units B) 3.5 units
earnstyle [38]

Answer:

7.9.

Step-by-step explanation:

Use the Pythagorean Theorem.

√((-5)^2 + (6)^2 + (-1)^2) = √62 = 7.87 = 7.9.

5 0
4 years ago
How is estimating the quotient help you place the first digit in the quotient of a division problem
Elis [28]
You can use many different strategies to find the answer to a division problem. One strategy is to use repeated subtraction. To find 123 ÷ 36, think: How many groups of 36 are there in 123? Start with 123. Subtract 36 repeatedly. Count how many times you subtracted: 123 − 36 = 87 (1); 87 − 36 = 51 (2); 51 − 36 = 15 (3); 15 < 36. There are 3 groups of 36 in 123 with 15 left over. Therefore, 123 ÷ 36 = 3 R15.
5 0
4 years ago
Read 2 more answers
Help please I will be marking brainliest!!!
Serhud [2]

Answer:

Radius of the circle = 119

Step-by-step explanation:

here's the solution :-

we know that the perpendicular from centre to any chord bisects the chord so,

=》AT = 1/2 × OT

=》AT = 1/2 × 210

=》AT = 105

now, join VT ( by construction )

so, triangle VTA is a right angled triangle, with right angle on A.

now, by pythagorous theorem,

=》VT^2 = VA^2 + AT^2

=》VT^2 = (56)^2 + (105)^2

=》VT^2 = 3136 + 11025

=》VT =

\sqrt{14161}

=》VT = 119

and VT joins the centre of the circle with the circumference, hence VT is the radius of the circle .

7 0
3 years ago
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