Which inequality is equivalent to 2/3 X-5 < 11

Answer:

[tex]12(1 + x)[/tex]

Step-by-step explanation:

We will use order of operations to simplify this expression.

We will evaluate the brackets first.

3(5+7)-6(4-2x) =

[tex]3(12) - 6(4 - 2x) \\ = 36 - 6(4 - 2x) \\ = 36 - 24 + 12x \\ = 12 + 12x[/tex]

You can further simplify it by factorising it:

[tex]12 + 12x \\ = 12(1 + x)[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(5 + 7) - 6(4 - 2x)}[/tex]

[tex]\mathsf{= 3(5) + 3(7) - 6(4) - 6(-2x)}[/tex]

[tex]\mathsf{= 15 + 21 - 24 + 12x}[/tex]

[tex]\mathsf{= 36 - 24 + 12x}[/tex]

[tex]\mathsf{= 12 + 12x}[/tex]
[tex]\mathsf{= 12x + 12}[/tex]

[tex]\huge\text{Therefore, your answer should be:\boxed{\mathsf{12x + 12}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

From the given output the regression equation is

StopDist = ₋89.99 ₊5.7053(speed)

The slope of the regression equation is 5.7053

from the Excel output the 95% confidence interval for the slope of the regression line is (5.0809, 6.3296)

By the rejection rule ,reject the null hypothesis.

Given,

from the given output the regression equation is

StopDist = ₋89.99 ₊ 5.7053(speed)

Interpreting the slope of the regression line.

from the given output the regression equation the slope is 5.7053.

To find a 95% confidence interval for the slope of the regression line follow the excel procedure:

From the excel output the 95% confidence interval for the slope of the regression line is (50809, 6.3296).

State the hypothesis

Null hypothesis:

H₀ : β₁ ≠ 0

Alternative hypothesis:

Hₓ : β₁ ≠ 0

Reject rule:

If p value≤ α(=0.05), then reject the null hypothesis.

By the rejection rule, reject the null hypothesis (H₀)

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation for table 3 is y=(5/2)x-4.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The slope for the tables,

Table 1.

m₁ = (3-1)/(5-2) = 2/3

m₂ = (43-31)/(20-17) = 12/3 = 4

Since the slope is different the relationship is not linear.

Table 2.

m₁ = (13-10)/(2-1) = 3/1

m₂ = (34-29)/(7-6) = 5/1

Since the slope is different the relationship is not linear.

Table 2.

m₁ = (6-1)/(4-2) = 5/2

m₂ = (31-26)/(14-12) = 5/2

Since the slope is the same the relationship is linear.

The equation for table 3 will,

y = (5/2)x + c

1 = (5/2)2 + c

1 = 5 + c

c = -4

Hence, the equation for table 3 is y=(5/2)x-4.

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If the company's average tax rate is 34 percent, Its net income after taxes is: $138,090.48.

Revenues of $880,300

General and administrative expenses ($353,300)

Leasing expenses ($108,195)

Earning before interest, taxes, depreciation and amortization $418,805

Depreciation expenses ($131,455)

Earning before interest and taxes $287,350

Interest expenses ($78,122)

Earning before taxes $209,228

Taxes 34%              $71,137.52

Net income/Loss $138,090.48

Therefore Its net income after taxes is: $138,090.48.

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Answer: 26.3 < 26.5

Step-by-step explanation:

On the number line, 26.3 lies to the left of 26.5, meaning that 26.3 is less than 26.5.

In the inequality models, the number of additional weeks is 1558+60x≥2158.

Given that the initial savings is $1558, the amount needed is $2158 and additional savings is $60 weekly.

Let the number of weeks be x.

So, she will save 60x in x weeks.

Total savings after x weeks is

Initial saving +60x       .......(1)

According to the question, she needs $1258 for repair.

So, that means the minimum requirement is 2158.

≥2158      ........(2)

Combine equations (1) and (2) and get

Initial savings +60x≥2158

As given that the initial savings is 1558.

Substitute this in above inequality and get

1558+60x≥2158

To find the number of weeks find value of x.

Subtract 1558 from either sides of the inequality.

1558+60x-1558≥2158-1558

60x≥600

Divide both sides with 60 as

60x÷60≥600÷60

x≥10

Hence, the inequality that models the number of additional weeks marie needs to continue saving to afford the home repairs is 1558+60x≥2158 and she needs to save $60 for at least 10 weeks.

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The intervals of the function on the graph are:

The function is given as:

f(x) = -2(x-3)² + 2

See attachment for the graph.

From the graph, we have;

Domain = (-∝, ∝)

Because it takes all real values as its input

Range = (-∝, 2]

Because it has a vertex of (3, 2) and the vertex is a maximum

Also, it increases on the interval (-∝, 3] and decreases on the interval [3, ∝)

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

So given the three bits of information you can conclude a couple of things. The end behavior towards the right should be increasing and since there is only two turning points this means it was previously going down but had a turning point and starting going up, and before that it was going up and then started going down, those will be the two turning points. So on the left side it should be decreasing and the right side it should be increasing. The last peace of information tells you that at the second turning point, should be equal to 250k when it turned back up OR the y-intercept is 250k. Given all this information the answer should be the first graph in the first picture

Answer: D

Step-by-step explanation:

The production quantity of 40,000 units, it is estimated that 38,000 units will be sold and 2,000 units will be salvaged. For the production quantity of 80,000 units, it is estimated that 64,000 units will be sold and 16,000 units will be salvaged.

Based on the information provided, let's analyze the production quantities of 40,000 units and 80,000 units, considering the assumptions for product sales and salvage.

40,000 unit plan:

Sold: 95% of 40,000 units = 0.95 * 40,000 = 38,000 units

Salvaged: 5% of 40,000 units = 0.05 * 40,000 = 2,000 units

80,000 unit plan:

Sold: 80% of 80,000 units = 0.80 * 80,000 = 64,000 units

Salvaged: 20% of 80,000 units = 0.20 * 80,000 = 16,000 units

Therefore, for the production quantity of 40,000 units, it is estimated that 38,000 units will be sold and 2,000 units will be salvaged.

For the production quantity of 80,000 units, it is estimated that 64,000 units will be sold and 16,000 units will be salvaged.

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The supply equation of the company's total cost is 0.75x

The question implies that we determine the equation of the company production and categorize the equation as demand or supply

The given parameters are:

The total cost of production is calculated as:

Total Cost = Overalls * Cost price

To determine the equation, we set the number of overalls to x.

So, we have:

Total Cost = x * 0.75

Evaluate

Total Cost = 0.75x

Hence, the equation of the company's total cost is 0.75x

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Answer:

Second one i believe

Step-by-step explanation:

Well u know the sides arent given

Answer:

Your answer is 2x³ + 7x²y + y²- x²

Step-by-step explanation:

(a) ( 2x³ + 4x²y + 5xy² - 3y² ) - ( x² - 3x²y +5xy² - 2y² ) ​

= 2x³  + 4x²y  +  5xy² - 3y² - x² + 3x²y  - 5xy² + 2y²

= 2x³ + 4x²y + 3x²y + 5xy² - 5xy² + 3y² + 2y² -  x²

= 2x³ + 7x²y + y²- x²  ans.

Hope its helpful!

Please mark me as brainlist.

Step-by-step explanation:

(a) ( 2x³ + 4x²y + 5xy² - 3y² ) - ( x² - 3x²y +5xy² - 2y² ) ​

= 2x³  + 4x²y  +  5xy² - 3y² - x² + 3x²y  - 5xy² + 2y²

= 2x³ + 4x²y + 3x²y + 5xy² - 5xy² + 3y² + 2y² -  x²

= 2x³ + 7x²y + y²- x²  ans.

Answer:

s = 3 + (4d)

Step-by-step explanation:

s is the number of states, so we put a s and an equal sign. Then 3 is the number of days he started with, so we add that, and 4d is 4 states times the number of days.

Answer:

X and Y intercept

Step-by-step explanation:

X and Y intercept is much easier as the equation is linear it is easy to find the intercepts

Answer:

[tex]y=7x-26[/tex]

Step-by-step explanation:

1) Write it in the slope-intercept form of [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

[tex]y=7x +c[/tex]

2) Substitute the given coordinates into [tex]y=7x +b[/tex], and then solve for c.

[tex]9=7(5) +b\\9=35+b\\9-35=b\\b= -26[/tex]

3) Substitute c into [tex]y=7x +b[/tex]

[tex]y=7x-26[/tex]

Therefore, the answer is [tex]y=7x-26[/tex].

The value of x, using the cosine ratio, is approximately: 11.47.

The cosine ratio is:

Cos ∅ = adjacent length/hypotenuse length.

Given the parameters:

∅ = 55°

Adjacent length = x

Hypotenuse length = 20

Apply the cosine ratio:

cos 55 = x/20

x = (cos 55)(20)

x ≈ 11.47

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By the corresponding angles theorem,

Thus, triangles AFD, BGD, and CHD are similar by AA.

Answer:

If all of these are parralel and all touching a single line(FD), then they must be the same. Also, they are perpendicular. :/

Step-by-step explanation:

Step-by-step explanation:

Area of sector = (θ/2) × r2

= (1.75/2) × 2×2

= (0.875) ×4

= 3.5 In2

The expression for the total number of services the have to choose from is 6x - 1

From the question, we are to determine the expression for the total number of services

From the given information,

Number of types of massages = 4x + 3

Number of types of manicures = -6x + 5

Number of types of pedicures = 8x - 7

Then,

Total number of services = 4x + 3 + (-6x + 5) + 8x - 7

Total number of services = 4x + 3 - 6x + 5 + 8x - 7

Total number of services = 4x - 6x + 8x - 7 + 3 + 5

Total number of services = 6x - 1

Hence, the expression for the total number of services the have to choose from is 6x - 1

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Answer: the answer is actually 6x+1, not 6x-1

All the figures can be proven to be parallelograms by the markings

The properties of parallelogram are:

Based on the above properties, all the figures can be proven to be parallelograms

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The balance, in dollars, (future value) when the pension plan earns 6% compounded monthly is $372,134.19.

The future value refers to the compounded future value of an asset, for example, a pension plan, based on a growth rate of interest for a future period.

The future value can be determined with the FV formula, table, or using an online finance calculator as follows:

N (# of periods) = 528 months (68 - 24 x 12 months)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

PMT (Periodic Payment) = $144

Results:

FV = $372,134.19

Sum of all periodic payments = $76,032 ($144 x 528)

Total Interest = $296,102.19

Thus, the balance, in dollars, (future value) when the pension plan earns 6% compounded monthly is $372,134.19.

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Step-by-step Expression;

- Given; The function f(x) on the interval [ 5,15]

- To find the average rate of change of the function f(x)=?

x = 5 , y = 15,

I can't solve it anymore,please can you solving?

The length of AB wit the coordinate (-6, 5) and (8,5). is 14 units

A rectangle is a quadrilateral with 4 sides and angles

Taking the length of AB.

Since AB is slant line, the length of AB will be determined using the distance formula as shown;

D = √(-6-8)² +(5-5)

D = √(-14)²

D = AB = 14 units

Hence the length of AB wit the coordinate (-6, 5) and (8,5). is 14 units

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The resulting function after all transformations have been carried out is; -7log6(-x) - 2.

The transformations which ensued on the function given are as follows;

On this note, it follows that the resulting function upon all the Transformations is; = -7log6(-x) - 2.

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Answer:

3200

Step-by-step explanation:

0.13x    + 0.04*(6100-x) = 532    dollars.

  0.13x + 0.04*6100 - 0.04x = 532

 (0.13 - 0.04)x = 532 - 0.04*6100

 x = 532 - 0.04 - 6100/0.13-0.04 = 3200

The couple invested:

to earn $477 as the total interest for the first year.

The interest over an investment is the additional amount that a person receives on investing his/her money in the cause.

In the question, we are informed that in investing $6,150 of a couple's money, a financial planner put some of it into a savings account paying 6% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 9% annual simple interest. The combined interest earned for the first year was $477.

We are asked to find the amount invested in each rate.

We assume the amount invested in savings account to be $x.

Therefore, the amount invested in development plan is $(6150 - x).

Simple interest on a sum of money (P), at a rate (r) over a time period (t), is given as S.I. = (Prt)/100.

We calculate the interest earned in both investments:-

Investment in savings account:

Amount invested (P) = $x.

Rate of interest (r) = 6%.

Time for investment (t) = 1 year.

Therefore, interest received = (Prt)/100 = $(x*6*1)/100 = $ (6x)/100

Investment in development plan:

Amount invested (P) = $(6150 - x).

Rate of interest (r) = 9%.

Time for investment (t) = 1 year.

Therefore, interest received = (Prt)/100 = $((6150 - x)*9*1)/100 = $ {9(6150 - x)}/100.

We know that the total interest received is $477.

Thus on adding Interests from both the investments, we can write an equation:

(6x)/100 + {9(6150 - x)}/100 = 477

or, 6x + 55350 - 9x = 47700,

or, 55350 - 47700 = 3x,

or, 3x = 7650,

or x = 7650/3 = 2550.

Thus, the investments in:

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Answer: b. f(x) is an even function for all even values of m.

Step-by-step explanation:

[tex]f(x)=(x^m +9)^2[/tex]

If m is even, then [tex](-x)^m=x^m[/tex].

This means that [tex]f(-x)=(x^m+9)^2 \implies f(-x)=f(x)[/tex]

Thus, b is the correct answer.

Hello :

    3/8 = x/(15 + x)

⇔ 3(15 + x)/8 = x

⇔ (45 + 3x)/8 = x

⇔ 45 + 3x = 8x

⇔ 8x - 3x = 45

⇔ 5x = 45

⇔ x = 45/5

⇔ x = 9