What is the value of the expression 3x+9 if x=6

Answer:

6=6

True for all a

Step-by-step explanation:

\(2a+6=2a+5+1\\\mathrm{Subtract\:}2a\mathrm{\:from\:both\:sides}\\\mathrm{Simplify}\\6=5+1\\\mathrm{Simplify\:}5+1:\quad 6\\\\6 = 6\)

Answer:

infinite solutions

Step-by-step explanation:

2a+6=2a+5+1

Combine like terms

2a+6 = 2a+6

Subtract 2a from each side

6 =6

Since this is always true, we have infinite solutions

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

y = (2/3)x + 5

Step-by-step explanation:

y - 1 = 2/3(x + 6)

y - 1 = 2x/3 + 4 -- Distribute the 2/3.

y = 2x/3 + 4 + 1 -- Add 4 to both sides.

y = 2x/3 + 5 -- Simplify.

Answer: y=2/3x+5

Step-by-step explanation:

Multiply both sides by 33.3(y+1)=3(−23⋅(x+6))3(y+1)=3(-23⋅(x+6))Simplify the left side.Simplify 3(y+1)3(y+1).3y+3=3(−23⋅(x+6))3y+3=3(-23⋅(x+6))Simplify the right side.Simplify 3(−23⋅(x+6))3(-23⋅(x+6))..3y+3=−2x−123y+3=-2x-12Move all terms containing variables to the left side of the equation.Add 2x2x to both sides of the equation.3y+3+2x=−123y+3+2x=-12Move 33.3y+2x+3=−123y+2x+3=-12Reorder 3y3y and 2x2x.2x+3y+3=−122x+3y+3=-12Move all terms not containing a variable to the right side of the equation.Subtract 33 from both sides of the equation.2x+3y=−12−32x+3y=-12-3Subtract 33 from −12-12.2x+3y=−152x+3y=-15

Answer:

There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.

Step-by-step explanation:

Answer:

-8 and -7

Step-by-step explanation:

First, let's find the cubed version of each answer choice.

-12 and -11:

-20 and -19:

-15 and -14:

-8 and -7:

Therefore, the answer is -8 and -7.

Answer:

669 dollars and 70 cents

Step-by-step explanation:

just minus all the money spent and add the money added

The amount of water poured out by Newton from the filled 2 liter breaker is 975 milliliters of water.

One liter is equal to 1,000 milliliters.

Therefore, a 2-liter beaker has 2,000 milliliters of water when it is full.

After pouring out some water, the beaker now has 1,025 milliliters of water left.

To find how many milliliters of water Newton poured out, we need to subtract 1,025 from 2,000:

So, we have

Amount = 2,000 - 1,025

Amount = 975

Therefore, Newton poured out 975 milliliters of water.

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Answer:

\(-61\)

Step-by-step explanation:

\(\mathrm{We\ have\ f(}x)=-3x^2-2x+4\\\mathrm{Put}\ x=-5,\\\mathrm{f}(-5)=-3(-5)^2-2(-5)+4=-3(25)+10+4=-75+10+4=-61\)

Answer:

subsidiaries hi sus

Step-by-step explanation:

scientific 2 is the answer

Given:

The system of inequalities is given as

Find:

we have to find the point which satisfies the given system of inequalities.

Explanation:

for x = 3

Therefore, point (3,-2) is the correct option, as it satisfies the given system of inequalities.

all other points do not satisfy the given s

Answer:

well the answer would be 2

Answer:

2

Step-by-step explanation:

The Quotient is a keyword for division. 6 divided by 3 is 2. Or in other words, 3x2=6

Answer:

3.75 cm²

Step-by-step explanation:

Area of a triangle = 1/2bh = 1/2(2.5)(3) = 3.75 cm²

It is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.

We know that:

Profit = Revenue - Cost

Here, we have:

Revenue function = 100 x − 0.5 x²

Cost function = 60 x + 300

Profit = $ 15,000

Substituting the values, we get that:

100 x − 0.5 x² - 60 x - 300 = 15,000

40 x - 0.5 x² - 300 = 15,000

80 x - x² - 300 = 15,000

x² - 80 x + 300 + 15,000 = 0

x² - 80 x + 15,300 = 0

No, it is not possible for a company to make a profit of $15,000 as the above equation has no real solution.

Therefore, it is not possible for a company to make a profit of $15,000 with the revenue function as 100 x − 0.5 x² and the cost function as 60 x + 300.

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Answer:

5

Step-by-step explanation:

i anserwed it on the test

Answer: 360 degrees.

Step-by-step explanation: The sum of the interior angles in a quadrilateral is always 360.

(you can check using the formula 180(n-2), where n is the number of sides.)

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-2}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is -2 and that it passes through (0 , 1)

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{- 2}(x-\stackrel{x_1}{0})\implies {\LARGE \begin{array}{llll} y=-2x+1 \end{array}}\)

Answer:

BC = 10

Step-by-step explanation:

Since this is an isosceles triangle

AC = BC

3x-5 = 2x

Subtract 3x from each side

3x-5-3x = 2x-3x

-5 = -x

Multiply each side by -1

5 =x

BC = 2x

     =2 *5

BC =10

Answer:

Wait

Step-by-step explanation:

Is a equation or polynomial

Answer:

0, +/- 1. +/- 2

Step-by-step explanation:

\(x^{5} -5x^{3} +4x=0\) Write the equation in the form of P(x) = 0.

\(x(x^{4} - 5x^{2} + 4) = 0\) Factor out the GCF, x.

\(x(x^{2})^{2} - 5x^{2} + 4 = 0\) Factor \((x^{2})^{2}- 5x^{2} + 4 = 0\).

\(x = 0,\) \((x^{2})^{2} - 5x^{2} + 4 = 0\) Let a = \(x^{2}\) and substitute.

\(a^{2} - 5a + 4 = 0\) Factor.

\((a - 4)(a - 1) = 0\) Replace a with \(x^{2}\).

\((x^{2} - 4)(x^{2} -1) = 0\) Factor \((x^{2} - 4)\) as a difference of squares.

\((x -2)(x+2)(x^{2} -1) = 0\) Use the Zero Product Property

\(x = 2, x = -2, x^{2} = -1\)

\(x = 0, 1, -1, 2, -2\)

Answer:

7y^(8)

Step-by-step explanation:

(7y^4)^2

=7y^(4×2)

=7y^(8)

The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)

From the question, we have the following parameters that can be used in our computation:

2ˣ⁺⁴

The above expression is an exponential expression with the following properties

When the above expression is expanded, we have

2ˣ⁺⁴ = 2ˣ * 2⁴

Evaluate the expression 2 exponent 4

So, we have the following representation

2ˣ⁺⁴ = 2ˣ * 16

Rewrite as follows

2ˣ⁺⁴ = 16 * 2ˣ

This gives

2ˣ⁺⁴ = 16(2ˣ)

Hence, the expression that is equivalent to the expression is 16(2ˣ)

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Answer: 1,488,000

Please tell me if I’m wrong.

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

Step-by-step explanation:

Q.1.

\(ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)\)

apply ln rules:

\(ln( 4 * x) = ln (24)\)

cancel ln from both sides:

\(4x = 24\)

divide both sides by 4:

\(x = 6\)

Q.2.

\(2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)\)

apply ln rules:

\(ln\left(x^2\right)=ln\left(4*9\right)\)

cancel ln from both sides:

\(x^2 = 36\)

\(x = \pm6\)

as ln cannot be negative:

\(x = 6\)

Answer:

The answer is 2

Step-by-step explanation:

2 x ? x 3 x 2 x 2 = 48

6 x 4 x ? = 48

24 x ? = 48

24 ÷ 24 x ? = 48 ÷ 24

? = 2

Based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

The reading specialist is trying to estimate the population mean word length of an elementary school history textbook, but it is not practical or possible to measure the word length of every single word in the book. So, instead, the specialist takes repeated random samples of 100 words from the book and calculates the mean word length of each sample. Based on these repeated samples, the specialist estimates that the mean word length of the book is 4.9 letters. This means that, on average, the words in the book are about 4.9 letters long. The specialist also calculated the standard deviation of the sampling distribution, which is a measure of the variability of the sample means. In this case, the standard deviation of the sampling distribution is estimated to be 0.15 letters. This means that the mean word length of each random sample is expected to vary by about 0.15 letters from the population mean. It is important to note that these estimates are based on a specific set of samples and are subject to sampling variability. If the specialist were to take different random samples, the estimates may be slightly different. However, based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

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Answer:

x² = 2

x = sqrt. of 6

x = (+-)2.449

Step-by-step explanation:

brainliest plz

Answer:

212.50.

Step-by-step explanation:

Answer:

D. -10

Step-by-step explanation:

The sum of a triangle = 180°, therefore,

64° + 63° + x + 63 = 180°

Add like terms

x + 190° = 180°

Subtract 190 from each side

x + 190 - 190 = 180 - 190

x = -10