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2 years ago

How can x minus two-thirds = StartFraction 5 over 6 EndFraction be solved for x in one step?

Mathematics

1 answer:

Brums [2.3K]2 years ago

5 0

Add Two-thirds to both sides

solution:

x-2/3= 5/6

We have to find how this can be solved for "x" in one step

Remember that,

We we add or subtract same number from both sides of a equation, the equation still remains true

Therefore, from given,

x-2/3=5/6

Add Two-thirds to both sides

x-2/3+2/3=5/6+2/3

x=5/6+2/3

x=9/6

Add Two-thirds to both sides to solve the sum

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Luis's cell phone plan costs $39 per month. Text messages cost an additional $0.15 each. If Luis's cell phone bill last month to

denis23 [38]

Answer:

Luis incurred 107 extra text messages.

Step-by-step explanation:

Giving the following information:

Luis's cell phone plan costs $39 per month. Text messages cost an additional $0.15 each.

<u>To calculate the number of text messages, we need to use the following formula:</u>

Total cost= 39 + 0.15x

x= number of text messages

55.05= 39 + 0.15x

16.05= 0.15x

107= x

Luis incurred 107 extra text messages.

4 0

2 years ago

TIMED QUESTION Which are the roots of the quadratic function f(b) = b2 – 75? Select TWO options.

Setler [38]

Answer:

$b=5\sqrt{3}$ (b = 5 StartRoot 3 EndRoot)

and

$b=-5\sqrt{3}$ (b = Negative 5 StartRoot 3 EndRoot)

Step-by-step explanation:

we have

$f(b)=b^{2}-75$

we know that

The roots of the quadratic function are the values of x when the value of the function is equal to zero

For f(b)=0

$b^{2}-75=0$

Solve for b

Adds 75 both sides

$b^{2}=75$

take square root both sides

$b=(+/-)\sqrt{75}$

Simplify

$b=(+/-)5\sqrt{3}$

therefore

$b=5\sqrt{3}$ (b = 5 StartRoot 3 EndRoot)

and

$b=-5\sqrt{3}$ (b = Negative 5 StartRoot 3 EndRoot)

6 0

2 years ago

Read 2 more answers

Given the binomials (x - 3), (x - 1), (x + 2), and (x + 3), which one is a factor of f(x) = 2x3 + 3x2 - 2x - 3?

spayn [35]

Answer:

(x-1) is factor of our function.

Step-by-step explanation:

We are given a function $f(x)=2x^{3} +3x^{2} -2x-3$ and we are asked to find the correct factor from the given options.

Let us factor out our polynomial.

$2x^{3} +3x^{2} -2x-3$

$x^{2} (2x+3)-1(2x+3)$

$(x^{2} -1)(2x+3)$

$(x+1)(x-1)(2x+3)$

Therefore, (x-1) is correct choice for factor of our polynomial.

3 0

2 years ago

Read 2 more answers

Which expression best describes the array modeled below?

levacccp [35]

Answer:

Where is it??

Step-by-step explanation:

7 0

2 years ago

Graphing Logarithmic Function In Exercise,sketch the graph of the function.See example 1.

Elenna [48]

Answer:

The graph of given function is shown below.

Step-by-step explanation:

The parent natural logarithmic function is

$f(x)=\ln x$

The given function is

$y=5+\ln x$

It means

$y=5+f(x)$ .... (1)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2) we get

$b=5$

It means the graph of parent function shifts 5 units up to get the graph of given function.

Table of values:

x y

0.25 3.614

0.5 4.307

1 5

2 5.693

Plot these points on a coordinate plane connect then by a free hand curve.

The graph of given function is shown below.

5 0

2 years ago