Greg is building a fence around his garden. For every 4 feet of fencing, the cost is $36.

Complete the table below showing the length of the fence and the cost. Length of fencing and cost
​

The equation 3x²-5x-5 will have two solutions.

If the value of x in the given quadratic equation is a real number then the roots of the equation are real.

The discriminant of the equation will be calculated as:-

    =  3x  ²-  5x   -   5

D  =  b²   -   4ac

D  =  ( 5 )²  -   4  x  3  x  -5

D  =  25    -    ( -60 )

D  =   85

Since the discriminant is positive then the equation will have real roots and the degree of the equation is 2 so it will have two solutions.

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The expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars would be [tex]10,000p - 120p^2.[/tex]

The revenue can be calculated as

revenue  = the price of calculator x the number of the calculator

A company sells calculators. If the price of the calculator in dollars is p, the company estimates that it will sell 10,000-120p calculators.

The price of calculator is p.

The number of the calculator is  10,000-120p.

revenue  = the price of calculator x the number of the calculator

[tex]p(10,000-120p )\\\\10,000p - 120p^2\\\\[/tex]

The expression that represents the revenue in dollars from selling calculators if a calculator is priced at p dollars would be [tex]10,000p - 120p^2.[/tex]

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Answer:

(n + 4)(n+ 22)

Step-by-step explanation:

One way to determine which factored expression is accurate is by asking the question: "Which two numbers multiply to 88, but add to 26?" If you are having difficulty using this method, you can always try the guess-and-check method with a multiple choice question. This way involves multiplying the terms inside one set of parentheses with the terms inside the other set of parentheses.

Step #1: Multiply the first terms

(n + 4)(n + 22) ----> n x n = n²

Step #2: Multiply the inside terms

(n + 4)(n + 22) -----> 4 x n = 4n

Step #3: Multiply the outside terms

(n + 4)(n + 22) -----> n x 22 = 22n

Step #4: Multiply the last terms

(n + 4)(n + 22) -----> 4 x 22 = 88

Step #5: Write the new expanded equation and simplify

(n + 4)(n + 22) -----> n² + 4n + 22n + 88 -----> n² + 26n + 88

Answer:

2

Step-by-step explanation:

only 4/5 and -4/5 are 4/5 away from 0

Answer:

Two. 4/5 and -4/5

Step-by-step explanation:

absolute value means distance from zero. 4/5, and -4/5 are the only two numbers that are 4/5 away from zero, so the is two numbers. if you have anymore questions asking how many numbers have a specific absolute value, the answer is two as well.

Answer:

0.9/3=0.3 First one

Step-by-step explanation:

0.9/3=0.3

The boxes are being divided into 3 equal parts and each section has 0.30 squares

Answer:

The answer is A: 0.9÷3=0.3

Step-by-step explanation:

The boxes are equally divided into thirds

Answer:

20 gallons

Step-by-step explanation:

The tank is at its full capacity, and its full capacity is 20 gallons. This means there is 20 gallons of gas in the tank.

Answer:

B. 48.

Step-by-step explanation:

16, 23,  55, 64, 49

Range = highest value - least

= 64 - 16

= 48.

Answer:

Step-by-step explanation:

Let the calculators be C and the books be B.

3C + 4B = 23                   and                 2C + 3B = 16

3C = 23 - 4B                                           2(23 - [tex]\frac{4B}{3}[/tex]) + 3B = 16

C = 23 - 4B                                             46 - [tex]\frac{8B}{3}[/tex] + 3B = 16

         3                                                    46 - [tex]\frac{-8B + 3B }{3}[/tex]

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

For the Third Question The answer would be D

Step-by-step explanation:

When u multiply 5×3=15

so 18^15/8 would be the correct answer

The probability of getting a shape with at least four sides, then tails will be 1/12.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The spinner below is spun once, then a coin is tossed.

Then the probability of getting a shape with at least four sides, then tails will be

For spinner

Favorable event = 5

Total event = 6

For a coin

Favorable event = 1

Total event = 2

P = 5/6 x 1/2

P = 5/12

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Answer:

6.28

Step-by-step explanation:

Find the diameter by multiplying the radius by 2, then multiply the diameter by Pi, which in your case is 3.14

R times 2= diameter

D time Pi= area

Area = 6.28

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The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625

The total amount earned by any worker with his basic pay like incentives allowances etc.

It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.

Last week she worked 43.5

The distribution of the work is given as:-

Monday      Tuesday        Wed      Thursday       Friday    Total

9 Hours     9 Hours          8.5         8.5                   8.5      43.5

So we have the total working hours = 43.5 hours

Weekly working hours are =40 hours

So for 40 hours she will be paid:-

Pay =40x17.50

Now extra hours or overtime is =43.5-40=3.5 hours

So the extra income will be half of the regular:-

Pay=3.5x({1}÷{2}) x17.5=$30.625

So total gross pay will be = $700+$30.625=$730.625

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Answer:

D. Irrational

Step-by-step explanation:

It also illustrates a situation where different methods can lead to what appear to be entirely different answers, yet they may be identical. A circle O is circumscribed around a triangle ABC, and its radius is r. The angles of the triangle are CAB = a, ABC = b, BCA = c.

Answer:

6400

Step-by-step explanation:

they are being squared in the pattern

The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.

Then time taken for the first trip will be

t₁ = 867 / 612

t₁ = 1.4167 hours

Then time taken for the second trip will be

t₂ = 1984 / 744

t₂ = 2.6667 hours

Then the average speed is the ratio of the total distance to the total time.

The total distance will be

Total distance = 867 + 1984

Total distance = 2851 miles

The total time will be

Total distance = 1.4167 + 2.6667

Total distance = 4.0834 hours

Then the average speed will be

Average speed = 2851 / 4.0834

Average speed = 698.19 mi/h

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Answer:

1 cubic foot.

Step-by-step explanation:

Answer:

That will be 1.

Step-by-step explanation:

The construction goes with P and set its width to M.

The correct option is (A).

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of  figure.

Now, a line perpendicular to AB and passing through an external point M.

first step :Put the compass needle on M and, keep the compass width the same then draw two arcs that intersect AB.

Second step: After drawing arcs, from the intersecting points named P and Q.

Now, keeping the width of compass same as before and to the opposite side of M draw an arc named it as M'

Third step: Using straightedge draw line passes through M.

The lines which passes through M will be perpendicular to AB.

The above discussed are steps to draw perpendicular bisector of AB.

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Answer:B 20 percent

Step-by-step explanation:

The method of completing the square can be used to determine the vertex of a function. he unknown value is -162

The method of completing the square can be used to determine the vertex of a function.

Given the quadratic function

-2x² + 36x
-2(x²-18)

Complete the square

-2(x² - 18x + ( -9)²+ 9²)
-2(x-9)² + -2(81)
-2(x-9)² - 162

Compare

On comparing with the expression, you can see that the unknown value is -162

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Answer:

23

Step-by-step explanation:

3(-2)^2-2(-2)+7

=23

Equation A find the lowest number of the three. Equation A satisfies the given conditions.

If the number is divisible by 2 then the number will be an even number. Similarly, the number is not divisible by 2 then the number will be an odd number.

Assume the three consecutive integers are 2x,2x+2,2x+4

The sum of the three consecutive even numbers are 36;

x+x+2+x+4 = 36

3x+6=36

3x=30

x=10

The three integers are found as;

x =10

x+2 = 10+2 = 12

2x+4 =10+4=14

Hence, equation A find the lowest number of the three. Equation A satisfies the given conditions.

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1) Diagonals of a rectangle bisect each other, so AW=13.

2) Since diagonals of a rectangle are congruent, AC=BD. Then, since diagonals of a rectangle bisect each other, DW=13.

3) Diagonals of a rectangle are congruent, so BD=26.

4) Opposite sides of a rectangle are congruent, so AD=10.

5) Using the Pythagorean theorem, BA=24.

The height of the tree is 50 feet.

We have given,

cap A tree standing vertically on level ground casts a. 72feet.

We solve this by using trigonometry, the height of the tree to the nearest foot is 50 feets

[tex]tan\theta = opposite / Adjacent[/tex]

Opposite = height, h

Adjacent, = 140 feets

Angle, θ = 19.8°

[tex]tan(19.8) = h / 140[/tex]

Cross multiply

[tex]h = 140 \times tan(19.8)[/tex]

h = 50.403 feets

Height, h = 50 feets (nearest foot)

Therefore, the height of the tree is 50 feets

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Answer:

Step-by-step explanation:

Without Children - 73 - 15 - 88

With Children - 31 - 67 - 98

Total - 104 - 82- 186

The required table for given situation as:

Without Children : 73 Phone + 15 Tablet =  88 Total Device

With Children : 31 Phone + 67 Tablet = 98 Total Device

Total : 104 Total Phone + 82 Total Tablet  = 186 Total

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators.

Without Children : 73 Phone + 15 Tablet =  88 Total Device

With Children : 31 Phone + 67 Tablet = 98 Total Device

Total : 104 Total Phone + 82 Total Tablet  = 186 Total

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Answer:

for soln 1: X < -2; for soln 2: X < 1

Step-by-step explanation:

This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.

1 < X + 3 < 4

Soln 1. solve for the first side of the inequality

1 < X + 3

1 - 3 < X

-2 < X

X > -2

soln 2: solve for the second side of the inequality

X +3 < 4

X < 4 - 3

X < 1

Therefore, X > -2; X < 1