Find an equation for the line with the given properties.

Parallel to the line x = -5; containing the point (6, 2)

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:

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:

Step-by-step explanation:

- 2/5 of an hour is equal to 24 min

- 24 times 20 is 480 minuets during September

- 480 minuets is 8 hours

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:

9 x⁶y⁴

Step-by-step explanation:

for a rectangle

area = length x width, (rearranging)

width = area / length

given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

The expression represents the width of the rectangle in yards is 9 x⁶y⁴.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

For a rectangle

width = area / length

The given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

Hence, the expression represents the width of the rectangle in yards is 9 x⁶y⁴.

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Answer:

300,904

Step-by-step explanation:

Answer:

The cost of one cricket bat is $370, while the cost of one cricket ball is $185.

Step-by-step explanation:

Let's identify what we already know:

1) Mr. Lenny paid a TOTAL of $1480.00 for 4 cricket balls, and two cricket bats.

2) The cost of one cricket bat is twice as much as a cricket ball.

We can create an initial equation:

(4 times x) + (2 times y) = $1480.00

x is the price of one cricket ball, while y is the price of one cricket bat. Considering how the problem is set up, I know the 4 balls should add up to the same price as two bats.

So, the four balls should equal half of $1480, which is $740, and the two bats should also equal $740.

Calculate it out, and you'll find that one cricket bat equals $370, while one ball equals $185.

The question can be solved by representing the cost of a ball as x and bat as 2x, forming the equation 4x + 2(2x) = 1480. Solving this equation finds the cost of the individual cricket ball and bat.

In this question, we know that the cost of one cricket bat is twice the cost of a cricket ball, and that Mr. Lenny bought 4 cricket balls and 2 cricket bats for $1480.00. To solve for the individual price of each item, we can use the method of substitution in algebra.

Let's represent the cost of a ball as x and a bat as 2x. This becomes an equation of 4x (cost of 4 balls) + 2(2x) (cost of 2 bats) = 1480.

Solving for x will give us the cost of one cricket ball, and multiplying the value of x by 2 will offer the cost of a single cricket bat.

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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:

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 the answer is 4

Step-by-step explanation:

Easy way means four

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:

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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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]32,24,18,\frac{27}{2} ,\frac{81}{8}[/tex]

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is [tex]32,x,y,z,\frac{81}{8}[/tex]

Recall that  term of a geometric sequence  are generally in the form:

[tex]a,ar,ar^2,ar^3,ar^4[/tex]

This implies that:

a=32 and [tex]ar^4=\frac{81}{8}[/tex]

Substitute a=32 and solve for r.

[tex]32r^3=\frac{81}{8}[/tex]

[tex]r^4=\frac{81}{256}[/tex]

Take the fourth root to get:

[tex]r=\sqrt[4]{\frac{81}{256} }[/tex]

[tex]r=\frac{3}{4}[/tex]

Therefore [tex]x=32*\frac{3}{4} =24[/tex]

[tex]y=24*\frac{3}{4} =18[/tex]

[tex]z=18*\frac{3}{4} =\frac{27}{2}[/tex]

Answer:

Step-by-step explanation:

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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Answer:

False

Step-by-step explanation:

According to the The Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater then the measure of the third side. So use this theorem to solve:

6+12=18 and 18>5

so far it is following the theorem but we need to make sure all of the sides follow it so lets continue.

6+5= 11 and 11<12

This does not follow the theorem, so the sides 5,6, and 12 cannot form a triangle.

Answer:

False

Step-by-step explanation:

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

Answer:

(4x + 3) + (-2x + 4) = 2x + 7  

Step-by-step explanation:

(4x + 3) + (-2x + 4) =     you then collect like terms  

(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis

= 2x + (3 + 4). step-by-step

= 2x + 7.  then that is how you get =2x+7

Answer:

The answer to your equation would be 2x + 7.

Step-by-step explanation:

4x + 3 + -2x + 4

= (4x + -2x) + (3 + 4)

= 2x + (3 + 4)

= 2x + 7

Therefor, your answer would be 2x + 7.

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

(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 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:

[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: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)

Answer:

She will have 252 seeds left.

Step-by-step explanation:

12 x 42 = 504

504 ÷ 2 = 252

So, she will have planted 252 seeds and she will have 252 seeds left to plant.

Final answer:

Julia has 252 seeds left after planting half of the seeds.

Explanation:

To find out how many seeds Julia has left, we first need to determine the total number of seeds she has. Julia bought 12 bags of cucumber seeds, and each bag contains 42 seeds. So the total number of seeds she has is 12 bags × 42 seeds per bag = 504 seeds.

If Julia plants one-half of the seeds, she would be planting 504 seeds × 1/2 = 252 seeds.

To find out how many seeds she has left, we subtract the number of seeds she planted from the total number of seeds she initially had. 504 seeds - 252 seeds = 252 seeds left.

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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Step-by-step explanation:

[tex] \frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z) \\ \\ \therefore \: \frac{ (z + 4) - 6 \times 3}{3} = \frac{2(5 - z) }{3} \\ \\ \therefore \: \frac{ z + 4 -18}{3} = \frac{10 - 2z }{3} \\ \\ \therefore \: \frac{ z - 14}{3} = \frac{10 - 2z}{3} \\ \\ \therefore \: z - 14 = 10 - 2z \\ \\ \therefore \: z + 2z = 10 + 14\\ \\ \therefore \: 3z =24 \\ \\ \therefore \: z = \frac{24}{3} \\ \\ \: \: \: \: \: \: \: \: \huge \orange{ \boxed{ \therefore \: z = 8}}[/tex]

The right answer is Option 2.

Step-by-step explanation:

Given inequality is;

-3x+5>17

Solving the inequality

Subtracting 5 from both sides of the inequality;

[tex]-3x+5-5>17-5\\-3x>12[/tex]

Dividing both sides of inequality by -3;

[tex]\frac{-3x}{-3}>\frac{12}{-3}\\\\x>-4[/tex]

The solution to the inequality is -4.

The right answer is Option 2.

Keywords: subtraction, division

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13f is the expression in simplest form that gives the number of flowers Xia has in the planters

Solution:

Given that,

In may, Xia made 5 flower planters with f flowers in each planter

Therefore,

Number of flowers planted in May:  [tex]5 \times f = 5f[/tex]

In June, she made 8 flower planters with f flowers in each planter

Therefore,

Number of flowers planted in June: [tex]8 \times f = 8f[/tex]

Write an expression in simplest form that gives the number of flowers Xia has in the planters

Total number of flowers planted = Number of flowers planted in May + Number of flowers planted in April

Total number of flowers planted = 5f + 8f = 13f

Thus, the expression is 13f