what is the equivalent expression for 2x+3

Answer:

b = Y/2 - x/a

Step-by-step explanation:

Answer:

x = 3 + sqrt(e^3 + 9)

Step-by-step explanation:

Solve for x over the real numbers:

log(x) + log(x - 6) = 3

Hint: | Combine logarithms.

log(x - 6) + log(x) = log(x (x - 6)):

log(x (x - 6)) = 3

Hint: | Eliminate the logarithm from the left hand side.

Cancel logarithms by taking exp of both sides:

x (x - 6) = e^3

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

x^2 - 6 x = e^3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 - 6 x + 9 = e^3 + 9

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 3)^2 = e^3 + 9

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 3 = sqrt(e^3 + 9) or x - 3 = -sqrt(e^3 + 9)

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(e^3 + 9) or x - 3 = -sqrt(e^3 + 9)

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(e^3 + 9) or x = 3 - sqrt(e^3 + 9)

Hint: | Now test that these solutions are correct by substituting into the original equation.

Check the solution x = 3 - sqrt(e^3 + 9).

log(x) + log(x - 6) ⇒ log((3 - sqrt(e^3 + 9)) - 6) + log(3 - sqrt(e^3 + 9)) = 2 i π + 3 ≈ 3 + 6.28319 i:

So this solution is incorrect

Hint: | Check the solution x = 3 + sqrt(e^3 + 9).

log(x) + log(x - 6) ⇒ log(3 + sqrt(e^3 + 9)) + log((3 + sqrt(e^3 + 9)) - 6) = 3:

So this solution is correct

Hint: | Gather any correct solutions.

The solution is:

Answer: x = 3 + sqrt(e^3 + 9)

9514 1404 393

Answer:

  x = 3 + √1009 ≈ 34.765

Step-by-step explanation:

Take the antilog and solve the resulting quadratic.

  x(x -6) = 10^3

  x^2 -6x +9 = 1009 . . . . . . add (-6/2)^2 to complete the square

  (x -3)^2 = 1009 . . . . . . . . . write as a square

  x = 3 + √1009 ≈ 34.765 . . . . . square root and add 3

__

Only the positive root makes any sense, since the log of a negative number is not defined (in real numbers).

__

For the graph, we subtracted 3 so we are looking for the x-intercept where f(x)=0.

Answer:

I think it would just be x>−5

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

\( \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} \)

\( ~~~~~~~~ = 8 + i \times \sqrt{12^2} \)

\( ~~~~~~~~ = 8 + 12i \)

Answer:

a: x = -4

b: x = 4

c: y = 4

d: y = -2

e: y = -4/3x + 1

Step-by-step explanation:

For lines a & b, since they're vertical lines, they are in the form x = (whatever x-coordinate they intersect).

So, for line a, since it intersects the x-coordinate of -4, your equation is x = -4.

For line b, since it intersects the x-coordinate of 4, your equation is x = 4.

For lines c & d, since they're horizontal lines, they are in the form y = (whatever y-coordinate they intersect).

So, for line c, since it intersects the y-coordinate of 4, your equation is y = 4.

For line d, since it intersects the y-coordinate of -2, your equation is y = -2.

For line e, since it appears to be a general linear function, it is in the form y = mx + b (at least in point-slope form, it doesn't specify which form, but I assume this one), where m is the slope and b is the y-intercept.

Remember slope is rise over run, so in line e, you go over 4 units and down 3 units at any particular point, so your slope is -4/3.

To find the y-intercept, just find where the line intersects the y-axis, which is at the point (0, 1), so your b is 1.

To put it all together, your equation for line e is y= -4/3x + 1

I hope that this made sense, if not, feel free to let me know

Answer:

---------------------------

Given similar triangles:

We know that corresponding sides of similar triangles have same ratio.

The ratios are:

Substitute values and solve for x:

Answer:

D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Just trust me

The graph for system of the equation y = x + 2 and y = 3x - 2 are shown below and solution for the equations is x = 2 and y = 4.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

The given system of equations is,

y = x + 2                (1)

and y = 3x - 2       (2)

The given equations are already in slope intercept form and the slope of the equations are, m₁ = 1 and m₂ = 3.

The graph of the equations y = x + 2 and y = 3x - 2 are represented below.

To find the solutions, solve the equations (1) and (2),

x = 2 and y = 4.

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Answer:

t= -1.333

Step-by-step explanation:

Answer:

Answer included in photo.

Step-by-step explanation:

Answer:

≈ 1,361.36 inches squared

Step-by-step explanation:

V=π x r^2 x h /3

r is radius and h is height

π ≈ 3.14

r^2 = 10^2 = 100

h/3 = 13/3 ≈ 4.334

Multiply

3.14 x 100 x 4.334 ≈ 1,361.36 inches squared

Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by:

\(\mu = 142, \sigma = 32\).

Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:

X = 174:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{174 - 142}{32}\)

Z = 1

Z = 1 has a p-value of 0.841.

X = 78:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 142}{32}\)

Z = -2

Z = -2 has a p-value of 0.023.

0.841 - 0.023 = 0.818 = 81.8%.

81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.

From the attached box plot we have,

Box plot always shows,

First Minimum → Lower quartile → Median → Upper quartile → Maximum

The minimum salary for an actuary is equals to

Approximately 35 dollars

And the median salary for a CPA from the box plot is equals to,

Approximately 60 dollars

Here , by comparing the both the values we have,

Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).

The median salary for a CPA is typically higher than the minimum salary for an actuary.

Therefore, Asaad representing median salary makes more money than Amahle .

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The above question is incomplete, the complete question is:

Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?

Box plot is attached.

Answer:

Step-by-step explanation:

Apply exponent rule  \(a^{-b}=\dfrac{1}{a^b}\):

\(\implies \left( \dfrac{49}{16} \right) ^{-{\frac32}}=\dfrac{1}{\left( \dfrac{49}{16} \right) ^{\frac32}}\)

Apply exponent rule \(\left( \dfrac{a}{b} \right) ^c=\dfrac{a^c}{b^c}\):

\(\implies \dfrac{1}{\left( \dfrac{49}{16} \right) ^{\frac32}}=\dfrac{1}{\left( \dfrac{49^{\frac32}}{16^{\frac32}} \right) }\)

Factor the 49 and 16:

\(\implies \dfrac{1}{\left( \dfrac{49^{\frac32}}{16^{\frac32}} \right) }=\dfrac{1}{\left( \dfrac{(7^2)^{\frac32}}{(4^2)^{\frac32}} \right) }\)

Apply exponent rule \((a^b)^c=a^{bc}\):

\(\implies \dfrac{1}{\left( \dfrac{(7^2)^{\frac32}}{(4^2)^{\frac32}} \right) }= \dfrac{1}{\left( \dfrac{7^3}{4^3} \right) }=\dfrac{1}{\left( \dfrac{343}{64} \right) }\)

Apply fraction rule \(\dfrac{1}{\frac{a}{b}}=\dfrac{b}{a}\)

\(\implies \dfrac{1}{\left( \dfrac{343}{64} \right) }=\dfrac{64}{343}\)

Answer:

The y = 0.5 the x = 1

Step-by-step explanation:

The y = 0.5 the x = 1

Answer:

y=1/2x

Step-by-step explanation:

y=mx+b, where m is the slope, b is the y-int and y and x are variables.

y=1/2x+0 is the answer but you dont need to add the 0.

To get the slop you do RISE/RUN which in this case is 1/2

Hope that helps. Brainliest is appreciated

Answer:

Step-by-step explanation:

If angle 2 is 75, the other angles that are also 75 are angles 4 (it's vertical to angle 2), angle 6 (it's corresponding to angle 2), angle 8 (it's alternate exterior to angle 2). All the other angles measure 180 - 75 which is 105.

$ 807.76    is the balance after 3 years by compound interest.

What is compound interest with example?

Given

Principal , P = $675

Rate , r = 6% = 0.06

Time = t years

n = 12             (compounded monthly)

(a)

Balance after t years is given as,

A = P(1 + r/n)nt

A = 675(1 + 0.06/12)12t

A = 675(1.005)12t

Balance after t years =  675(1.005)12t              

(b)

Balance after 3 years =  675(1.005)12*3

= 675(1.005)36

= 675*1.19668

=807.7593 \approx 807.76

Balance after 3 years = $ 807.76          

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Answer:

72%

Step-by-step explanation:

18,000 / 25,000 = 72% variance. In other words, they made 72% less than they had projected.

Answer:

The answer is $7,000

Step-by-step explanation:

did it on acellus

Answer:

AT=QW

AP=RW

RO=PT

A=W (Angle)

P=R (Angle)

O=T (Angle)

Answer: (-1, -2)

Step-by-step explanation:

so at first you have (1, 2)

then you were asked to reflect about y=x which is (x, y) = (y, -x)

(1, 2) = (2, -1)

then followed by y=-x which is (x, y) = (-y, -x)

(2, -1) = (-1, -2)

I hope this helps!

Answer:2 to 3

Step-by-step explanation: big brain

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

Step-by-step explanation:

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

We can obtain the common ratio, r, by dividing any term by its preceding term. For this geometric sequence, the common ratio,

r, is: r = a2 / a1 = 6 / 3 = 2a4 = 12 * 2 = 24a5 = 24 * 2 = 48a6 = 48 * 2 = 96(b) 256, 192, 144, a4 = 108, a5 = 81, a6 = 60.75.

We can obtain the common ratio, r, by dividing any term by its preceding term. For this geometric sequence, the common ratio,

r, is:r = a2 / a1 = 192 / 256 = 0.75a4 = 144 * 0.75 = 108a5 = 108 * 0.75 = 81a6 = 81 * 0.75 = 60.75(c) 0.5, -3, 18, a4 = -108, a5 = 648, a6 = -3888.

We can obtain the common ratio, r, by dividing any term by its preceding term.

For this geometric sequence, the common ratio, r, is:

r = a2 / a1 = -3 / 0.5 = -6a4 = 18 * (-6) = -108a5 = (-108) * (-6) = 648a6 = 648 * (-6) = -3888.

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Answer:

14.2cm

Step-by-step explanation:

Complete question:

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.  

Rounded to the nearest tenth of a centimeter, what is the length of arc LMN?  

Find the diagram attached

arc LN= arc  LM + arc MN

First we need to get the arc MN

length of an arc = theta/360 * 2πr

length of arc MN = 75/360 * 2(3.14)(6)

length of arc MN = 0.20833*37.68

length of arc MN = 7.85

Hence;

arc LN = 6.3 + 7.85

arc LN = 14.15cm

Hence the length of arc LN is 14.2cm

Answer:

b =7

Step-by-step explanation: