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4 years ago

Please use answer and step by step explanation

Mathematics

2 answers:

photoshop1234 [79]4 years ago

7 0

First I would isolate "x"

5x + 7 ≤ 32 Subtract 7 on both sides

5x + 7 - 7 ≤ 32 - 7

5x ≤ 25 Divide 5 on both sides to get "x" by itself

x ≤ 5 [x is less than or equal to 5]

When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the dot is filled in.

When the sign is < or >, the dot is not filled in/open circle.

Your answer is C

kotykmax [81]4 years ago

5 0

I believe its C. because you have to solve for x.

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Which is the biggest number 2.07 2.24 2.4 2 2.04

Temka [501]

Among all these no., see the first no. that lies before or left side of decimal point, here... 2 is common so next check the no. After decimal... 2.0, 2.2, 2.4, 2 is considered as 2.0 and then we have 2.0... Let's not take 2.0s and let's take 2.2 and 2.4 which is greater than 2.0. Next see the second no. That comes after decimal We have 2.24 and 2.4 which can be taken as 2.40... The no.s after decimal, 24 is greater than 40 so 2.4 is greater...

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4 years ago

Prove algebraically that 0.5 recurring = 5/9

weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = $\frac{5}{9}$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

#SPJ1

5 0

1 year ago

What is the relationship between the sine and cosine of complementary angles?

pochemuha

<span> Yes, there is a "relationship" regarding the </span>tangent<span> of the two acute angles (A and B) in a right triangle.</span>

8 0

3 years ago

For the function f(x)=3(x-1)^2+2, identify the vertex,domain, and range -The vertex is (1,2), the domain is all real numbers, an

sdas [7]

Answer:

The function is...f(x)=(-1,-2)

Step-by-step explanation:

5 0

3 years ago

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