The sum of two numbers is 18. Three times the greater number exceeds four times the smaller number by 5. Find the numbers

Answer:

Step-by-step explanation: y=6 x - 3

(6 X x) - (6 x 3)

6x - 18

-12

The absolute value function y = 6 |x - 3| can be written as a piecewise function. For x < 3, y = 6 * (3 - x) and for x >= 3, y = 6 * (x - 3). This takes into account the always-positive relationship of the absolute value function.

The absolute value function y = 6 |x - 3| can be written as a piecewise function as follows:

This is because the absolute value function defines a relationship where distance is always positive. For values of x less than 3, the expression within the absolute value brackets is negative, so we have to change the sign. For values of x greater than or equal to 3, the expression is already positive, so it stays as it is.

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Answer: x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)(Distribute)

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)(Combine Like Terms)

−4x−31=−25x+−10

−4x−31=−25x−10

Step 2: Add 25x to both sides.

−4x−31+25x=−25x−10+25x

21x−31=−10

Step 3: Add 31 to both sides.

21x−31+31=−10+31

21x=21

Step 4: Divide both sides by 21.

21x/21 divided by 21/21

Get x = 1

Answer:

x=1

Step-by-step explanation:

*I underlined everything we are working with at that moment

- 31 - 4x = - 5 - 5(1+5x)

-5(1+5x)=5-25x

-31-4x=-5-5-25x

-31=-10-21x

-21=-21x

x=1

put it in slope intercet form then take the number before the x and the number after the x and put them into an ordered pair.

Answer:

[tex]L=2.3\ ft\\W=1.9\ ft\\H=1.7\ ft[/tex]

Step-by-step explanation:

we know that

The volume of a portable kennel (rectangular prism) is equal to

[tex]V=LWH[/tex]

where

[tex]L=(x+0.4)\ ft\\W=x\ ft\\H=(x-0.2)\ ft[/tex]

[tex]V=7.4\ ft^3[/tex]

substitute the given values in the formula of volume

[tex]7.4=(x+0.4)(x)(x-0.2)[/tex]

Apply distributive property right side

[tex]7.4=x(x^2-0.2x+0.4x-0.08)[/tex]

[tex]7.4=x(x^2+0.2x-0.08)[/tex]

[tex]7.4=x^3+0.2x^2-0.08x[/tex]

[tex]x^3+0.2x^2-0.08x-7.4=0[/tex]

Solve the cubic equation by graphing

using a graphing tool

The solution is x=1.9

see the attached figure

Find the dimensions

substitute the value of x

[tex]L=(1.9+0.4)=2.3\ ft\\W=1.9\ ft\\H=(1.9-0.2)=1.7\ ft[/tex]

Answer:

Step-by-step explanation:

In statistics, a box plot is a graphic method to display the quartiles of a distribution, where the line inside the body refers to the median.

So, in this case, you can observe that the median of shelter A is 21, and the median of shelter B is 18. That means the median of shelter A is greater than the median of shelter B.

Therefore, the right answer is first choice:

Box plot shows 5 description of the data set it is representing. The true statements for the given data sets' box plots are:

A box plot has 5 data description.

IQR(inter quartile range)  is the difference between third and first quartile.

For the given data set, we see that the middle line of first graph is right to the middle line of the lower graph, thus, Median of B < Median of A (18 < 22) (since as we go right, the magnitude of numbers increases)

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since then the frequencies are more likely to be distributed symmetric to the middle).

Thus, B is symmetric but A isn't

Thus, IQR A > IQR B (here Q3 is third quartile and Q1 is first quartile).

Thus, the correct statements for the given box plots is:

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Answer:

b)  √200 = 10√2

Step-by-step explanation:

Here, the given expression is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5  x 5

⇒ 200  = (2)²  x (5) ²  x 2

Taking ROOT both sides, we get:[tex]\sqrt{200} = \sqrt{(2)^{2} \times (5)^{2} \times 2}\\\implies \sqrt{200} = \sqrt{(2)^{2} } \times \sqrt{(5)^{2} } \times \sqrt{(2) } = 2 \times 5 \times \sqrt{2}\\ = 10 \sqrt {2}\\\implies \sqrt{200} = 10 \sqrt {2}[/tex]

Hence,   √200 = 10√2

Answer:

B is the answer

Step-by-step explanation:

B for e2020

Answer:

[tex](3+2\sqrt{2},2+2\sqrt{2}),(3-2\sqrt{2},2-2\sqrt{2})[/tex]

Step-by-step explanation:

[tex]Points\ are\ of\ the\ form\ (x,x-1)\\\\Distance\ of\ these\ points\ from\ (3,2)=4\\\\\sqrt{(x-3)^2+(x-3)^2}=4\\\\\sqrt{(x-3)^2+(x-1-2)^2}=4\\\\\sqrt{2(x-3)^2}=4\\\\2(x-3)^2=16\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ square\ both\ the\ sides\\\\(x-3)^2=\frac{16}{2}\\\\(x-3)^2=8\\\\(x-3)=\pm 2\sqrt{2}\ \ \ \ \ \ \ \ \ \ \ square\ root\ both\ the\ sides\\\\x=3\pm 2\sqrt{2}\\\\When\ x=3+2\sqrt{2}\ \ \Rightarrow x-1=3+2\sqrt{2}-1=2+2\sqrt{2}\\\\When\ x=3-2\sqrt{2}\ \ \Rightarrow x-1=3-2\sqrt{2}-1=2-2\sqrt{2}[/tex]

A. The percent error is 12%.

B. If you were to count 84 cars when there were only 75 it would also have the same percent error.

Step-by-step explanation:

Step 1; From the given data I measured the number of cars lower than its actual count. I counted the number of cars as 66 while it was 75. So my measurement was off by 9 counts. My percent error is given by dividing the difference in values by the actual value multiplied by 100.

% error = (difference in values / actual value) × 100

My % error = (75 - 66)/ 75 × 100 = 9/75 × 100 = 12%.

Step 2; My percent error was 13.6363%. I counted the cars lower then there were so to find another similar estimate I just add the percent error to the actual number of cars.

Similar % error = Actual value + 12% = 75 + 12% = 75 + 9 = 84 cars.

Final answer:

To calculate the percent error, use the formula (|Estimated Value - Actual Value| / Actual Value) x 100%. For an estimate of 66 compared to an actual value of 75, the percent error is 12%. An estimate of 84 cars would also produce a 12% percent error because it shares the same distance from the actual value as the original estimate, just in the opposite direction.

Explanation:

The question asks to find the percent error of an estimation and to determine another estimate with the same percent error. To calculate percent error, you use the formula: Percent Error = (|Estimated Value - Actual Value| / Actual Value) × 100%. Applying the given values, we get: Percent Error = (|66 - 75| / 75) × 100% = (9 / 75) × 100% = 12%.

To find another estimate with the same percent error, we can manipulate the percent error formula. Let x represent the new estimate. Thus, 12% = (|x - 75| / 75) × 100%. Solving for x gives two solutions: x = 66 (the given estimate) or x = 84. This means an estimate of 84 cars would also result in a 12% percent error, because it is 9 units away from the actual value, similar to the original estimate.

The reasoning is based on the symmetrical property of the absolute value function used in the percent error calculation, which indicates that the error margin above and below the actual value are equivalent.

Answer:

No solution

Step-by-step explanation:

Replace occurrences of y in 4x - 2y = 14 with 2x - 6

y = 2x - 6

4x - 2 (2x - 6) = 14

Simplify left side

y = 2x - 6

12 = 14

Since 12 is not equals to 14, There is no solution

Answer:32

Step-by-step explanation:

8 times 4

Answer:

Boy: 12   Brother: 6

Step-by-step explanation:

If a boy was 8 years old and in 4 years from the boy was twice is brothers age you would first have to add 4 to the 8 to get how many years old the boy was (8+4=12)

When you get these answer, you would have to divide bye 2 bceause the boy was twice his age and therefore, we would find out how many years old the brother was

(12/2=6)

The angle of elevation is 2.17°

Step-by-step explanation:

First change value in miles to value in feet

1 mile =5280 ft

50 miles = 5280*50 =264000 ft

Apply the formula for tangent of an angle where the opposite side is 10,000 ft and the adjacent side is 264000 ft

Tan Ф = O/A

          = 10,000/264000

           =0.03787878787

Tan ⁻(0.03787878787) = 2.17°

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Answer:

all the above conclude in a scatter plott does it have linear relation was it a positive or negative and it could be a random scatter plot so nonlinear association

The associations that best describe the scatter plot are: C. Negative association A. linear association

On a scatter plot, if one variable increases or decreases as the other increases or decreases, it shows a positive association.

On the other hand, if one variable increases as the other decreases, it is a negative association.

Also, if the points are along a straight line, the association is linear.

Thus, in the scatter plot given, as time increases, distance decreases.

Therefore, the associations that best describe the scatter plot are: C. negative association A. linear association

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Answer:

Step-by-step explanation:

slope=y₂-y₁/x₂-x₁

[tex]\frac{8-2}{7-3}=\frac{6}{4}\\\\=\frac{3}{2}[/tex]

125% of e is 30 means then the value of e is 24.

Step-by-step explanation:

[tex]\frac{125}{100}[/tex] [tex]\times e = 30[/tex]

The unknown number e from the given question is 24

125% of e is 30

125 / 100 × e = 30

1.25e = 30

e = 30 / 1.25

e = 24

Therefore, the unknown number e from the given question is 24

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Answer:

x≥4

Step-by-step explanation:

We want to solve for x in

[tex]2x - 3 \geqslant 5[/tex]

Let us add 3 to both sides:

[tex]2x - 3 + 3\geqslant 5 + 3[/tex]

We simplify to get:

[tex]2x\geqslant 8[/tex]

Divide through by 2 to get:

[tex]x \geqslant 4[/tex]

Answer:

The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true

Step-by-step explanation:

To explain

[tex]2x-3\geq 5[/tex]

let us solve this inequality and find the value of x

[tex]2x-3\geq 5\\2x\geq 5+3\\2x\geq 8\\x\geq (\frac{8}{2} )\\x\geq 4[/tex]

As

x [tex]\geq[/tex] 4

So

The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true

Keywords: Algebra

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Answer:

g(9) = 52

Step-by-step explanation:

Step 1:  Identify the function

g(x) = 5x + 7 is the function

Step 2:  Set x to 9 in the function

g(9) = 5(9) + 7

Step 3:  Multiply

g(9) = 45 + 7

Step 4:  Add

g(9) = 52

Answer:  g(9) = 52

Answer:

The equation that represents Samantha's total pay as  a function of her total sales is B.  y = 0.2x + 325

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

             Total Sales   Total Pay

Week 1     $ 500           $ 425

Week 2      $ 350            $ 395

2. Let's find out the equation that represents Samantha's total pay as

a function of her total sales, this way:

Week 1:

A) y = 0.6x + 125  = 0.6 * 500 + 125 = 300 + 125 = 425 Correct

B) y = 0.2x + 325  = 0.2 * 500 + 325 = 100 + 325 = 425 Correct

C) y = 1.6x - 95 = 1.6 * 500 - 95 = 800 - 95 = 705 Incorrect

Week 2:

A) y = 0.6x + 125  = 0.6 * 350 + 125 = 210 + 125 = 335 Incorrect

B) y = 0.2x + 325  = 0.2 * 350 + 325 = 70 + 325 = 395 Correct

C) y = 1.6x -95 = 1.6 * 350 - 95 = 560 - 95 = 465 Incorrect

The equation that represents Samantha's total pay as  a function of her total sales is B.  y = 0.2x + 325

[tex]{3}^{ - 3} [/tex]

hope this helps :)

Yo sup??

[tex](3^6)^-^1^/^2\\=3^6^*^(^-^1^/^2^)\\=3^(^-^3^)\\[/tex]

Therefore your answer is option A ie

A.3^(-3)

Hope this helps.

Answer:

Step-by-step explanation:

x^2 - 6x + __ = -13 + __

take half of the coefficient in ur x term, square it, and add it to both sides

so take half of -6.....which is -3......and square it....-3^2 = 9. Now add 9 to both sides.

x^2 - 6x + 9 = -13 + 9

(x - 3)^2 = - 4

To complete the square for the equation x^2-6x+__= -13+__, add the square of half the coefficient of x to both sides. The completed square equation is (x-3)^2 = -4.

The student is asking how to complete the square for the equation x^2-6x+__= -13+__. Completing the square is a method used in Mathematics to solve quadratic equations, reorganize expressions, and is important for calculus. Here are the steps to solve this:

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Answer:

The correct answer is 85%.

If a basketball player made 17 out of 20 free throws at practice then 85% of the  free throws did the player miss.

percentage, a relative value indicating hundredth parts of any quantity.

Given that a  basketball player made 17 out of 20 free throws at practice

We need to find the percent of the free throws did the player miss.

We find this by finding the product of x/100 with 20 which is equal to 17.

x/100 × 20=17

Now we have to find the value of x which is the percentage.

2x/10=17

0.2x=17

Divide both sides by 0.2

x=17/0.2

x=85%

Hence, if a basketball player made 17 out of 20 free throws at practice then 85% of the  free throws did the player miss.

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The correlation coefficient between the given variables is determined as 0.771 (three decimal places).

The correlation coefficient between the variables is calculated as follows;

[tex]r = \frac{n\Sigma xy - \Sigma x\Sigma y}{\sqrt{[n\Sigma x ^2 \ - (\Sigma x)^2][n\Sigma y^2- (\Sigma y)^2]} }[/tex]

∑xy = (40 x 6) + (29 x 5) + (108 x 11) + (35 x 7) + (62 x 14) + (50 x 10) + (8 x 2)

∑xy = 3202

n∑xy = 7(3202)

n∑xy = 22,414

∑x = 40 + 29 + 108 + 35 + 62 + 50 + 8 = 332

∑y = 6 + 5 + 11 + 7 + 14 + 10 + 2 = 55

∑x∑y = 332 x 55 = 18,260

∑x² = 40² + 29² + 108² + 35² + 62² + 50² + 8² = 21,738

n∑x²  = 7(21,738) = 152,166

(∑x)² = (332)² = 110,224

∑y² =  6² + 5² + 11² + 7² + 14² + 10² + 2² = 531

n∑y² = 7(531) = 3,717

(∑y)² = (55)² = 3,025

[tex]r = \frac{22,414-18,260}{\sqrt{(152,166-110,224) (3,717 - 3025)} } \\\\r = \frac{4154}{\sqrt{29,023,864} } \\\\r = 0.771[/tex]

Thus, the correlation coefficient between the given variables is determined as 0.771 (three decimal places).

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Answer:

4.5

Step-by-step explanation:

We can use heron's formula in this case:

let perimeter/2 be represented by [tex]p\\[/tex]

let [tex]a, b, c[/tex] represent each side length

[tex]p=\frac{ 4.24+3+3}{2} = 5.12[/tex]

Heron's formula is as follows:

[tex]Area=\sqrt{p(p-a)(p-b)(p-c)}[/tex]

Plug your numbers into the formula!

[tex]Area = \sqrt{5.12(5.12-4.24)(5.12-3)(5.12-3)}=\sqrt{5.12(0.88)(2.12)(2.12)}[/tex]

=[tex]4.5[/tex]

Answer

(0,-4) and (4,0).

Step-by-step explanation:

The solutions of a system of equation from a graph is where the graphs intersect.

From the question, you mentioned that the graphs intersect at (0,-4) and (4,0).

Therefore the solutions to the system are (0,-4) and (4,0).

Probably, you might have a straight line and a quadratic graph interesting or two quadratic graphs.

Answer:

Step-by-step explanation:

width is 9 and the perimiter is 21

Answer the answer is 4

Step-by-step explanation:

Easy way means four

Answer:

y = x²

f = (3x)²

Step-by-step explanation:

y = x²

f = (3x)²

check: y = 1/9 f

The required equation is [tex]y=\dfrac{1}{9}f[/tex].

Important information:

We need to write an equation for the given situation.

Let [tex]y[/tex] be the area in square yards and [tex]f[/tex] be the area in square feet.

Area of a floor in square yards is one-ninth the area of the floor in square feet.

[tex]y=\dfrac{1}{9}f[/tex]

Thus, the required equation is [tex]y=\dfrac{1}{9}f[/tex].

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Answer:

The hamburger earns $ 1.50 for each hamburger he sells

Correct statement and question:

The profit a hamburger vendor earned, in dollars, is proportional to the number of hamburgers sold. This equation represents the proportional relationship between the profit earned and number of hamburgers sold.

2p = 3H.

Enter the profit, in dollars, earned for each hamburger sold.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let's find the value of p, profit earned when H = 1:

2p = 3H

2p = 3 * 1

2p = 3

p = 3/2

p = 1.5

The hamburger earns $ 1.50 for each hamburger he sells

Answer:

At least 22 hours in a week.

Step-by-step explanation:

Given: Manuela make $15 per hour.

           Her employers deduct $125 from her weekly check.

           Manuela receives at least $205 in her weekly paycheck.

Lets assume, Manuela working hour in a week be "x".

We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]

Now, forming an inequality to determine weekly pay of Manuela.

⇒ [tex]15\times x- 125\geq 205[/tex]

⇒[tex]15x-125\geq 205[/tex]

Adding both side by 125

⇒[tex]15x\geq 205+125[/tex]

⇒[tex]15x\geq 330[/tex]

Divinding both side by 15

⇒[tex]x\geq \frac{330}{15}[/tex]

∴[tex]x \geq 22\ hours[/tex]

Hence, Manuela works at least 22 hours per week.

Answer:

x = 1

y =

Step-by-step explanation:

-2x + y=1

-4x + y=-1

-2 (2) x + (2) y = (2) 1 (multilply by 2)

-4x + y=- 1

-4x + 2y = 2

-4x + y = -1

minus side by

y = 3

x =

Answer:

(1, 3).

Step-by-step explanation:

-2x + y = 1

-4x + y = -1      Subtract :

-2x - (-4x) = 1 - (-1)

-2x + 4x = 2

2x = 2

x = 1.

Substitute x = 1 in the first equation:

-2(1) + y = 1

-2 + y = 1

y = 1 + 2

y = 3.