All categories

2 years ago

Solve the equation. 4(4x - 2) = x + 4

Mathematics

2 answers:

Zepler [3.9K]2 years ago

5 0

Answer:

x = 0.8

Step-by-step explanation:

4(4x - 2) = x + 4

4*4x + 4*-2 = x + 4

16x - 8 = x + 4

16x - x = 4 + 8

15x = 12

x = 12/15

x = 0.8

Check:

4(4*0.8 - 2) = 0.8 + 4

4(3.2 - 2) = 4.8

4(1.2) = 4.8

iris [78.8K]2 years ago

4 0

Answer:

0.8 in decimal form

Step-by-step explanation:

You might be interested in

Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

5 0

1 year ago

What is (4a²)³÷8a²? can you please answer in normal number form (not like 3²)

AleksandrR [38]

Answer:

$8a^4$

Step-by-step explanation:

Hello! $(4a^2)^3=4\cdot4\cdot4\cdot a^2\cdot a^2\cdot a^2=64a^6$ because if you multiply numbers with exponents you add the exponents.

Now we've got $\frac{64a^6}{8a^2}=8a^4$ .

Sadly it has to be in exponential form. You can substitute $a$ into the equation if you know a.

3 0

2 years ago

Can someone please help me please, I'll appreciate it:)

Alja [10]

It would be the third choice if ur rotating from point A

6 0

2 years ago

A gardener already has four and one over 2 ft of fencing in his garage. He wants to fence in a square garden for his flowers. Th

NikAS [45]

<h2>Answer:</h2>

$6\frac{1}{2}$ <u>, "six and one over two ft".</u>

<h2>Step-by-step explanation:</h2>

Let's considerate the fact that the garden has a <u>square shape</u>.

<h3>1. Finding values of interest.</h3>

Amount of fence that the gardener already has: $4\frac{1}{2}$ ft.

Length of one side: $2\frac{3}{4}$ ft.

If one side measures $2\frac{3}{4}$ ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:

$4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11$

The gardener already has $4\frac{1}{2}$ , which equals $4 + \frac{1}{2}$ . Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:

$11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}$

<h3>3. Express your result.</h3>

$\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}$

8 0

1 year ago

What's the value of a<br> 2(a - 0.5a) + 3 = 4a - 1 + 5 -3a

pochemuha

Answer: There are no solutions.

Step-by-step explanation:

4 0

3 years ago