Which pair of binomials gives a product that is a perfect square trinomial?
A. (2x – 3)(2x – 2) C. (2x + 3)(2x + 3)
B. (2x + 2)(2x – 2) D. (2x + 3)(2x – 3)

Answer:

AC = 8

Step-by-step explanation:

Area of kits is half the product of diagonals

\(Area\; of \;kite = \frac{d_1d_2}{2}\\\\36 = \frac{AC*BD}{2} \\\\36 = \frac{AC(6+3)}{2} \\\\36*2 =9AC\)

AC = 72/9

AC = 8

Answer:

No, an integer is any number that is not either a decimal or a fraction.

√17 ≈ 4.123105626

\(\sqrt{17}\) is not able to be simplified and is irrational.

Step-by-step explanation:

Square roots of prime numbers are irrational.

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:  (11) Julius asks Rachel if she would like to sell her boat. Rachel privately has no interest in selling her boat and believes that Julius can't afford her boat anyway. Rachel says, "I'd sell my boat to you for $20,000." To Rachel's surprise, Julius responds "Ok, it's a deal." Rachel does not want to sell the boat to Julius for any price. Julius and Rachel have:

Answer:

c

Step-by-step explanation:

18x³y⁴ = 2 * 3 * 3 * x³ * y⁴

24x²y⁵ = 2 * 2 * 2 * 3 * x² * y⁵

GCF = 2 * 3 * x² * y⁴ = 6x²y⁴

18x³y⁴ + 24x²y⁵ = 6x²y⁴(3x  + 4y)

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Step-by-step explanation:

it's simple, you take the principle which is 1,500 multiply by the rate which is 2.4over 100 cause rate is always over a 100 and multiply by the year

The maximum value of function f(x) = -5x^2 + 100x + 7  is 957 at x= 10

The general expression of an quadratic polynomial is

                          y = ax^2 + bx + c            (1)

Let the equation be written as

                    f(x) = -5x^2 + 100x + 7             (2)

The maximum value of function f(x)  is at  x = -b/2a             (3)

Now comparing equation (1) and (2) we get,

            a = -5   and b = 100

Putting these values in equation (3) we get

                x = -100/2*(-5)

                x = -100/-10

                x = 10

Thus at x = 10 the function is maximum.

Putting the value of x in equation (2) we get,

   f(x) = -5(10) + 100(10) + 7

   f(x) = -50 + 1000 + 7

   f(x) = 957

Hence the maximum value of f(x) will be 957 at x = 10

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Answer:

\(c= \dfrac{9}{4}\)

Step-by-step explanation:

For a function f(x) to satisfy the Mean Value Theorem, it must satisfy the following conditions:

Given \(f(x)=\sqrt{x}$ in [0,9]\)

1. f(x) is defined and continuous on [0,9] since a polynomial function is continuous everywhere.

2. f(x) is differentiable in the interval (0,9) since a polynomial function is differentiable everywhere.

\(f(9)=\sqrt{9}=3\\f(0)=\sqrt{0}=0\\f'(x)=\dfrac{1}{2\sqrt{x} }\)

3.By the mean value theorem:

\(f'(c) = \displaystyle\frac{f(b)-f(a)}{b-a}\\\\\frac{1}{2\sqrt{c}} = \frac{f(9) - f(0)}{9-0} = \frac{3}{9}\\\\\frac{1}{2\sqrt{c}} = \frac{1}{3}\\\\$Cross multiply$\\\\2\sqrt{c}=3\\\\$Square both sides$\\\\(2\sqrt{c})^2=3^2\\\\4c=9\\\\c= \dfrac{9}{4}\)

Answer: 11

Step-by-step explanation:

F(1) = 3(1) + 8

F(1) = 3 + 8

F(1) = 11

You just substitute the x in for 1 and solve from there.

Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

Answer:

8\(\sqrt[3]{2}\)

Step-by-step explanation:

The cube root of -2 to the power of 10 is;

(-2)^10=2^10

2^10=(2^3)*(2^3)*(2^3)*2

You can factor out 2^3=8 of the cube root

So you get 8 times the cube root of 2

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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Answer:

d.

Step-by-step explanation:

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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Answer:

O A. 3, 11, 23, 21

OB. 7, 17, 29

OC. 2, 3, 5

OD. 2, 5

Step-by-step explanation:

Answer:

x= -5

Step-by-step explanation:

not right its -5

answer:

(4,8) and (6,6)

step-by-step explanation:

([6 X 2/3 = 4] , [12 X 2/3 = 8]) = (4,8) - - > endpoint of the new segment

([9 X 2/3 = 6] , [9 X 2/3 = 6]) = (6,6) - - > endpoint of the new segment

The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:

Step-by-step explanation:

Answer: The equation would be Y= 50- 10.50(x)

Step-by-step explanation: If you were to solve, it would be 50-10.50(4). I got the 4 because that is how many packs you can spend without going over $50. So, 10.50 x 4 = 42. So, now we subtract 42 from 5, so therefore we are left with 8. So we could write the equation like

- Y= 50-10.50(x)

Or

- 50-10.50(x) = y

So, plugging in the numbers we got, it would look like this

Y= 8

X= 4

So, it would be written like this:

8= 50 - 10.50(4)

8= 50- 42

Y=8.

I hope this helped!

The equation in which y represents the amount left on the gift card after purchasing x card packages is given by y = 50 - 10.50x

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Total amount that can be spent = $50.

Cost of one Pokemon card package = $10.50.

Also, y represents the amount left after purchasing  x card packages.

Since, the price of one card package = $10.50

Price of x card packages = 10.50x

The equation for amount y left after purchasing x card packages

y = 50 - 10.50x

The required equation for amount left can be given as y = 50 - 10.50x.

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Answer:

Step-by-step explanation:

Did you ever find the answer?/ I also am confused. please let me know

Answer:

Multiply the time per day by the number of days per week.

6/8 x 6 = (6 x 6)/8 = 36/8 = 4 1/2 hours a week.

Step-by-step explanation: