4) It was recommended that the trees be planted 10 feet apart. The school chose to plant the first tree 15 feet away from the property line fence and then to space the trees 10 feet apart accordingly. Write a linear equation with y representing the total distance (in ft.) away from the property line fence and x representing the number of trees used.

a) Write another linear equation for this situation but use a different form.

b) Graph the situation described in question #4.​

Answers

Answer 1

The linear function that model this problem is y = 10x + 15 and in standard form is 10x - y = -15

What is a Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. It is of the form ax + b = 0, where a and b are constants and x is a variable.Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.

In this problem, we can write an equation in slope-intercept form.

This can be modelled in y = mx + c

To model the problem,

y = 10x + 15

a) To rewrite the problem in another form of linear equation, we can write this in the standard form.

Ax + By = C

10x - y = -15

b) The graph of the problem is attached below

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4) It Was Recommended That The Trees Be Planted 10 Feet Apart. The School Chose To Plant The First Tree

Related Questions

What is the length of leg s in the right triangle shown? ​

Answers

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

The shorter leg of a right triangle is 8 Inches than the longer leg. They hypotenuse is 8 inches longer than the long leg. Find the side lengths of the triangle.

Answers

Answer: [tex]24, 32, 40\ in.[/tex]

Step-by-step explanation:

Given

The shorter side is 8 inches shorter than the long side.

The hypotenuse is 8 inches longer than the long side.

Suppose the length of the long side is x

Short side is [tex]x-8[/tex]

hypotenuse is [tex]x+8[/tex]

using Pythagoras theorem

[tex]\Rightarrow \left( x-8\right)^2+\left( x\right)^2=\left( x+8\right)^2\\\Rightarrow x^2+64-16x+x^2=x^2+64+16x\\\Rightarrow x^2-32x=0\\\Rightarrow x\left( x-32\right)=0\\\Rightarrow x=0\ \text{or}\ 32[/tex]

Neglecting 0 as length cannot be zero

Shorter side is [tex]32-8=24\ in.[/tex]

long side [tex]x=32\ in.[/tex]

hypotenuse [tex]32+8=40\ in.[/tex]

What is y 0 on a graph?

Answers

y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Because the equation y=0 has a slope of 0, the resulting graph must be a straight horizontal line. This is true for all equations with a slope of 0.

Hence , y=0 is the linear equation to denote the x - axis, as all the points on the x- axis, have their y co-ordinate =0.

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Which prism has the greatest volume?

Answers

Answer:

Volume of the prism formula:

V = lwh

Volume of the given prisms:

V₁ = 5*6*4 = 120V₂ = 2*3*10 = 60V₃ = 2*8*8 = 128V₄ = 8*3*6 = 144

The last Prism has the greatest volume

#1

V=4(5)(6)=120

#2

V=2(3)(10)=60

#3

V=2(8)²=128

#4

V=8(3)(6)=144

Option D

An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.

Answers

Speed of the given object in centimeters per hour

= 0.23 cm / hour

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Given,

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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A simple random sample of 10 people were asked how many first cousins they have. The results are listed below.

10, 19, 20, 13, 13, 2, 10, 8, 25, 10

What is the mean number of first cousins for this sample?

10
11.5
13
13.5.


answer is 13

Answers

Answer:

13

Step-by-step explanation:

mean= (10+19+20+13+13+2+10+8+25+10)/10=130/10=13

The mean number of first cousins for the given sample is 13. Thus, Option C is correct.

Mean is the arithmetic average of the given set of observations.

Mean for ungrouped or raw data is obtained by adding all the observations and dividing it by the number of observations.

Mean = Sum of all the observations/ Total number of observations.

Mean = ∑( x1 + x2 + x3 .... xn /n)

Where X bar represents mean, n is no. of observations and ∑ denotes sigma i.e. sum of all the values.

No. of observations (n) =10

Mean = ∑ (10 + 19 + 20 + 13 + 13 + 2 + 10 + 8 + 25 + 10) / 10

Mean = 130 / 10

= 13

Therefore, Option C is the correct answer.

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Find the slope from the pair of points (-4,-5) and (4,5)

Answers

Answer: slope = 5/4

Explanation: to find the slope using two points, you use the formula below.
The two points given would result in these values. Y2= 5 Y1= -5 X2= 4 X1= -4. Plug those into the formula below and you have your slope of 10/8 which reduces to 5/4. If you have any questions, please ask.

what is the measurement of the missing angle

Answers

Answer:

88

Step-by-step explanation:

A straight line has 180 degrees so you would subtract 92 from 180 which gives you 88.

Answer: The answer is 88 degrees

Step-by-step explanation:

A straight line is 180 degrees by default, so just subtract the known angle from 180 (180-92=88)

How does the parabola open? Is the vertex a minimum or maximum value?
g(x) = (4-x)(2+7x)

Answers

Answer:

g (x) = −7 x 2 + 26 x + 8

Step-by-step explanation:

pleasee help anyone please

Answers

Answer:

x must be 14/4 = 7/2

Step-by-step explanation:

The sum of the three interior angles of a triangle must be 180 degrees.

Thus, in this particular case,

82 + 64 + 4x + 20 = 180, or

   146     + 4x = 160, or

                4x = 160 - 146 = 14

Then 4x = 14, and x must be 14/4 = 7/2

Answer:

x = 6

Step-by-step explanation:

72 + 64 + (4x + 20) = 180

4x + 156 = 180

4x = 180 - 156

4x = 24

x = 6

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

13,000

Step-by-step explanation:

We are 30 years away from 1990 which is double of 15 years so if you double 6,258 you get close to 13,000

Answer:

C, 13,000

I have attached a graph to help you out:

Hope this helps!

Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the left and 5 units down. What is the order pair of the point that Amanda marked?

Question 1 options:

(1, -5)


(1, 5)


(-1, 5)


(-1, -5)

Answers

Answer:

(-1, -5)

Step-by-step explanation:

Moving 1 to the left means moving from 0 to -1 for the x-coordinate

Moving 5 to the bottom means moving from 0 to -5 for the y-coordinate

Answer:

Last Option

Step-by-step explanation:

In a graph, there are 4 section she moved to the bottom left of the graph. She was at point (0,0) --- (aka origin).

When we move left we are going down in value, it's the same case with moving down. When we move up and right we increase in value.

In Amanda's case she moves down and left, she goes left 1 unit affecting the x-axis (-1) and she moves down affecting the y-axis(-5).

Now we haev two numbers -1 and -5.

So she is at point (-1, -5)

18. Solve for b:
3 (23-2b) + 3b = 48
A. 10
B. 13
C. 7
D. -10

Answers

Answer:

Step-by-step explanation:

3(23-2b) + 3b = 48

1. Use the distributive property and distribute the 3 before the parenthesis

             3(23-2b)   (make sure you read the (-) as part of the 2b so it's -2b

              69 - 6b

2. 69 - 6b +3b = 48   (combine like terms...the bs: -6b + 3b)

    69 -3b=48

   

3. 69 - 3b = 48         (subtract 69 from both sides)

   -69           -69

4. -3b = -21      (divide both sides by negative three...we want the b to be +

   /-3    /-3

Answer: b = 7

So, C is your answer

Find the values of a, b if the parabola
y = a (x + b)² - 8:
a. Has tangent y = 2x at the point P(4,8)
b. Has normal x - 2y = 17 at the point Q(-1,-9)
c. Has a common tangent with y = 2-x² at the point A(1,1) ​

Answers

Therefore , the solution of the given problem of equation comes out to be a=1 and b =-1.

Define equation.

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

y' = 3x2 = 3(1) (1) 2 = 3

As a result, the slope-point form of the necessary tangent line is: => y-yo = m. (x - xo) y-1=3(x-1)

The two slopes just need to match for y = x2 + ax + b to share a tangent line at the location (1, 1). (In this manner, the slope-point forms of the two tangent lines will be identical.)

Therefore, y = x2 + ax + b must meet the following two requirements:

It must go through (xo, yo) because: (1, 1).

At this point, it must have a slope (y') of 3.

These will provide us with the two unknowns for our two equations. With the first, we have y'= + axo + b.

⇒ 1 = (1)2 + a(1) + b

⇒ 0 = a + b

and the second one gives us

y=2x0+ a

=> 3 = 2(1) + a

=> a = 1

Looks like we know exactly what a is. All we need is to plug this value into the first equation and we'll find b:

a+b=0

b = -a

b = -1

Therefore , the solution of the given problem of equation comes out to be a=1 and b =-1.

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Use the parabola tool to graph the quadratic function f(x)=-5x2-2

Answers

Answer:

To graph the quadratic function f(x) = -5x^2 - 2, we can use the parabola tool.

First, let's plot the vertex of the parabola. The vertex is the highest or lowest point on the graph of a parabola, and it is located at the point (h, k), where h is the value of the x-coordinate and k is the value of the y-coordinate.

For the quadratic function f(x) = -5x^2 - 2, the vertex is located at the point (0, -2).

Next, we can use the parabola tool to draw the graph of the quadratic function. To do this, we need to set the value of a, b, and c in the equation y = a(x - h)^2 + k. For the quadratic function f(x) = -5x^2 - 2, the values of a, b, and c are -5, 0, and -2, respectively.

Therefore, the equation of the graph of the quadratic function f(x) = -5x^2 - 2 is y = -5(x - 0)^2 - 2.

Using the parabola tool, we can draw the graph of the quadratic function by plotting several points on the graph and connecting them with a smooth curve.

The graph of the quadratic function f(x) = -5x^2 - 2 is a downward-facing parabola with its vertex at the point (0, -2). The graph opens downward because the value of a is negative. The parabola is symmetrical about the y-axis because the value of h is 0. The graph passes through the y-intercept (0, -2) because the value of k is -2.

Step-by-step explanation:

two electric irons were sold at Rs.1050 each. If one was sold at a loss of Rs.300 and the other at a profit of Rs.450, what was the total cost price? Find the profit or loss​

Answers

Answer:

Step-by-step explanation:

Selling price of two irons is Rs.1050 each.

Loss on one iron = Rs.300

Profit on second iron = Rs.450

We know that ,

Cost price = Selling price + loss ,when loss is given

and cost price = Selling price - profit ,when profit is given.

therefore, cost price of first iron = 1050 + 300 =1350 rupees

cost price of second iron = 1050 - 450 = 600 rupees

total cost price = 1350 + 600 = 1950 rupees

total selling price = 1050 + 1050 = 2100 rupees

since total cost price < selling price

so, there is a profit of 2100 - 1950 = 150 rupees.

Which tables of (x, y) values given below could represent functional relationships? Explain your thinking.

Answers

Consequently, the equation y = x + 5 describes the relationship between the x and y values in the table.

what is function ?

The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

y = x+5

2.When x = 10,y = x+5 = 10+5 = 15

3.When x =15,y = x+5 = 15+5 = 20

4.When x = 20,y = x+5 = 20+5 = 25

Consequently, the equation y = x + 5 describes the relationship between the x and y values in the table.

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~50 POINTS~ don’t explain.
A
B
C

Answers

Answer:

C

Step-by-step explanation:

The angles at point A have to be congruent so that you have two congruent angles. and one congruent side, which give SAA.

From the image, we can see than angle B and angle D are congruent. We also know that line AC is congruent to itself since it shared between the two triangles. Since we need one more angle, that angle has to be angle A.

The answer is C for this question

Question Progress
Here are some temperatures.
Ottawa
New York
Oslo
Moscow
-9.5 °C
-11.6 °C
-4.3 °C
-7.9 °C
a) Which place has the highest temperature?
b) What is the difference in temperature between Ottawa and Oslo?
The temperature in Moscow falls by 3.1°C.
c) What is the new temperature in Moscow?

Answers

The place with the highest temperature is Oslo.

The difference between the temperature in Ottawa and Oslo is 5.2 degrees Celsius .

The new temperature in Moscow is 11 degrees Celsius .

How to find the temperature ?

When temperatures are in the negatives, the higher temperature would be the smaller number. Oslo therefore has the highest temperature at - 4.3 °C.

The difference between the temperature in Ottawa and Oslo can be found by subtracting the temperatures:

= - 4 . 3 - ( - 9 . 5 )

= - 4.3 + 9 .5

= 5. 2 degrees Celsius

The new temperature in Moscow is:

= - 7.9 - 3.1

= 11 degrees Celsius

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How do you compare two graph functions?

Answers

Two graph functions can be compared by analyzing their shape, direction, and relative position.

To compare two graph functions, one must look at the overall shape of the graphs, which can be either linear, quadratic, cubic, or some other shape. The direction of the graph, whether it's increasing or decreasing, should also be considered. The relative position of the graph, including the x and y intercepts, as well as any asymptotes, should also be considered.

Additionally, it's important to examine the domain and range of the function, which are the set of input values and output values that the function can produce, respectively. By comparing these different aspects of the graph, one can determine the similarities and differences between the two functions and draw conclusions about their behavior.

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On may 4th, an investor writes one s&p 100 jan 185 put at 6. His maximum potential gain on this position is:

Answers

An investor writes a s&p 100 Jan. 185 put at $6 on May 4. In this situation, his function maximum potential benefit is $600.

Define function.

We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.

what is benefit?

A benefit is a positive outcome or advantage that results from something. It can refer to the positive aspects or advantages of a product, service, or action, and can be tangible or intangible. Benefits can include increased efficiency, cost savings, improved safety, increased customer satisfaction, and many other positive outcomes.

Here,

As a put buyer, the most you may lose is the premium you previously paid to purchase the put option.

The option price must be reduced to equal the strike price less any already-paid premium in order to break even.

The strike price less the premium is your maximum gain as a put buyer. The most bullish option strategy is thought to be purchasing call options.

This tactic allows the buyer of the call option the choice, but not the responsibility, to purchase the stock at a certain price at a precise moment.

Whenever the price of the security increases using this approach, the buyer benefits. A long position is one in which a call or put option is purchased or held.

Investors have the option of purchasing from or selling to the other investor at a predetermined price.

On the other hand, a short position is when you sell a call or put option. Writers must purchase from people holding long positions or buying options.

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On May 4th an investor writes on s&p 100 Jan 185 put at $6. his function maximum potential gain in this position is $600.

Define function.

We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.

Your maximum loss as a put buyer is the premium already paid to buy the put option. To break even the option price must be lowered to cover the strike price minus the premium already paid. Your maximum profit as a put buyer is the strike price minus the premium. Buying call options are considered the most bullish options strategy.

This strategy gives the call option buyer the right but no obligation to buy the security at a specific price at a specific time. With this strategy, the buyer benefits when the price of the security rises. Buying or holding a call or put option is a long position. Investors have the right to buy or sell to the writing investor at a specified price. Conversely selling or selling a call or put option is a short position. Writers must buy or sell from long position holders or option buyers.

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Option A

Hope it helps you.

A farmer sells green peppers and yellow peppers at her vegetable stand. On Friday, she sold 185 peppers altogether. She sold 4 times as many green peppers as yellow peppers.
How many green peppers did she sell on Friday?

Answers

That be 148 green peppers if I have my math right.

Step-by-step explanation:

because its 4 times as much, and altogether equals 185, the equation is 5x=185, so x is equal to 37, which is how many yellow peppers she sold. multiply that by 4, and you get 148 green peppers. I hope this helps

Simplify the fraction 20/24 to lowest term.

Answers

The lowest term for 20/24 is 5/6

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given

[tex]\frac{20}{24}[/tex] ← divide numerator/ denominator by 4 ( the LCM of 20 and 24 )

= [tex]\frac{5}{6}[/tex] ← in simplest form

What is the formula of third side?

Answers

The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

The formula for the third side of a triangle, given the lengths of two other sides and the angle between them, is:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

This formula is derived from the Law of Cosines, which states that the sum of the squares of any two sides of a triangle is equal to the square of the third side, minus twice the product of those two sides multiplied by the cosine of the angle between them.

In other words, the formula states that:

side_3^2 = side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle)

which is then solved for side_3 by taking the square root of both sides. Thus, the formula for the third side can be written as:

side_3 = sqrt(side_1^2 + side_2^2 - 2 * side_1 * side_2 * cos(angle))

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HI!!

can someone help with ts

Answers

Function Notation: another way of representing the relation between two variables, y is denoted as f(x) and x remains.

x is the input and f(x) is the output

This question is essentially asking what is the output of the function when the input is equal to 5.

[tex]f(5) = (5)^2-2(5)[/tex]

[tex]f(5) = 25-10[/tex]

[tex]f(5) = 15[/tex]

1)
10 cm
25 cm
O 125
O 250
O 35
O 37

Please help me and please no links.

Answers

Answer:

b-250

Step-by-step explanation:

Step-by-step explanation:

the answer is 250 B hope this helps

evaluate 3.8^1.1 and (5/7) round answers to the nearest 10th

Answers

Answer:

4.30 and 0.70 if you round of to the nearest tenth

Step-by-step explanation:

pls mark as brainliest lol

Selena has 9 homemade bracelets for $12 each then 14 bracelets for $8 each. How much did she make in sales?

Answers

well selena has
9x12
9x10=90
9x2=18
9x12=108
14x8
10x8=80
4x8=32
14x8=112
112+108=220

Answer:

$220

Step-by-step explanation:

first let's make the $12 bracelets as Type1 and the $8 bracelets as Type2,

then we calculate the amount she made by selling each type.

Eq.1 : No. of Type1 bracelets Selena made = 9

         Amount she sold them for = $12

         Amount she made by selling them = 9*12

                                                                                   = $108

Eq.2 : No. of Type2 bracelets Selena made = 14

          Amount she sold them for = $8

          Amount she made by selling them = 14*8

                                                                               = $112

Now we calculate the Total Amount she made

we add both of the amounts

$108 + $112

= $220

Hope this helps :)

solve the following question

Answers

Ba= 36
36+36=72
180-72=108
3rd corner of the triangle= 108
180-108=72
B= 72
Other Questions
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