Which of the following statements are true of the graph of the function f(x) = (x+5)(x-3)

_ the graph has a relative maximum
_ the graph has a relative minimum
_ the graph has an x-intercept at (5,0)
_ the graph has an x-intercept at (3,0)
_ the graph has a y-intercept at (0,-15)
_ the axis of symmetry is x= -2

For this case we must find an expression equivalent to:

[tex]\frac{4\sqrt{6}}{\sqrt[3]{2}}[/tex]

We multiply by:

[tex](\frac{(\sqrt[3]{2})^2}{(\sqrt[3]{2})^2})\\\frac{4\sqrt{6}}{\sqrt[3]{2}}*(\frac{(\sqrt[3]{2})^2}{(\sqrt[3]{2})^2})=[/tex]

By definition of multiplication of powers of the same base we have:

[tex]a^n*a^m=a^{m+n}\\\frac{4\sqrt{6}*(\sqrt[3]{2})^2}{(\sqrt[3]{2})^3}=\\\frac{4\sqrt{6}*(\sqrt[3]{2})^2}{2}=[/tex]

Move the exponent within the radical:

[tex]\frac{4\sqrt{6}*\sqrt[3]{2^2}}{2}=\\\frac{4\sqrt{6}*\sqrt[3]{4}}{2}=[/tex]

We rewrite:

[tex]4^{\frac{1}{3}}=4^{\frac{2}{6}}=\sqrt[6]{4^2}\\6^{\frac{1}{2}}=6^{\frac{3}{6}}=\sqrt[6]{6^3}[/tex]

Rewriting the expression:

[tex]\frac{4\sqrt[6]{4^2}\sqrt[6]{6^3}}{2}=\\\frac{4\sqrt[6]{16*216}}{2}=\\\frac{4\sqrt[6]{3456}}{2}=\\\frac{4\sqrt[6]{2^6*54}}{2}=\\\frac{8\sqrt[6]{54}}{2}=\\4\sqrt[6]{54}[/tex]

Answer:

[tex]4\sqrt[6]{54}[/tex]

Answer:

A!!!!

12^sqrt 27/ 2

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

You can see that the triangles are identical, so find the side that matches with BA and there you have it. The corresponding side is ED. I hope this helps!

Yes because if you add forty and thirty that equals seventy plus twenty is 90 which is a right angle

Answer:

No

Step-by-step explanation:

It would not form a right triangle because if you square 20, 30, 40, and add 20^2 and 30^2 it would become 1,300, but 40^2 is 1,600 which does not make it a right triangle according to the Pythagorean Theorem.

Answer:

The values of x are -4 and 8

Step-by-step explanation:

39=6|x-2|+3  move the 39 and 6 to the opposite sides and simplify

-6|x-2|=-36   divide both side by -6  

|x-2|=6          separate it into the possible equations

x-2=6  so, x=8

or

x-2=-6  so, x=-4

Answer:

$140,000(1 - .05)^t

Step-by-step explanation:

you have your total amount $140,000

it is decreased by 5% go behind the number and move two decimal points and you get .05

since is decreasing it would be 1 subtracted by ,05

$140,000(1 - .05)^t

"t" is the years it would be depreciated by

I do not see years but by knowledge i would say it is decreasing

Answer:

Since, the exponential decay function,

[tex]A=P(1-r)^t[/tex]

Where,

P = initial value,

r = rate per period,

t = number of periods,

Here, P = $ 200,000, r = 5% = 0.05,

Thus, the value of the condominium would be,

[tex]A=200000(1-0.05)^t=200000(0.95)^t[/tex]

Which is the required equation.

If A < 140,000

[tex]200000(0.95)^t < 140000[/tex]

By the graphing calculator.

[tex]t< 6.95364[/tex]

Hence, about after 7 years the condominium will be worth less than $140,000.

Answer: 15 cookies and 5 brownies will be required.

Step-by-step explanation:

Given in the question is Eder needs 6 cookies and 2 brownies for 4 plates.

We have to calculate the cookies and brownies required for 10 plates.

Let's first calculate the cookies by unitary method.

⇒ 4 plates required cookies = 6 cookies

⇒  1 plate will require cookies = 6/4

⇒ 10 plates will require cookies = 6×10/4 = 15

Similarly we will calculate the brownies.

⇒ 4 plates required number of brownies = 2

⇒1 plate will require = 2/4 brownies

⇒10 plates will require = 2×10/4 = 5 brownies

⇒Therefore 15 cookies and 5 brownies will be required for 10 plates.

* Hopefully this helps:)

~ 234483279c20~

For 4 plates, an editor needs 1.5 cookies and 0.5 brownies. Thus, for ten plates, they will require 15 cookies and 5 brownies.

Let's start by determining the amount of cookies and brownies the editor needs for 4 plates. As per the given information, the editor needs 6 cookies and 2 brownies for every 4 plates. Therefore, for each plate, the editor will need to have 1.5 cookies (6/4 = 1.5) and 0.5 brownies (2/4 = 0.5).

Now, let's compute how much this would translate to if we have ten plates. Using the ratio we determined earlier, for ten plates the editor would need:

This is the simplest way to figure out how many cookies and brownies are needed for a given number of plates, provided you know how much is needed per plate.

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Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

Answer:

x = 1, y = -3

Step-by-step explanation:

So, we have two equations to start with: 3x-y=6 and y = x-4, we want to resolve the equations by addition.

We sum up the left sides of the equations together and the right sides together, and simplify, we have:

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

3x = 2 + x ==> 2x = 2 ==> x = 1

To find y, we place the value of x in any of the two equations:

y = x - 4 = 1 - 4 = -3

You verify that the solution is valid by entering the values of x and y in the other equation:

3x - y = 6 becomes

3 (1) - (-3) = 6

3 + 3 = 6

Answer:

x = 1 and y = -3

Step-by-step explanation:

The given linear equations are,

3x - y = 6 and y = x - 4

To solve the system of equations

Let 3x - y = 6   -----(1)

y = x - 4

x - y = 4  ----(2)

(2) * -3 ⇒ -3x  + 3y = -4   ----(3)

(2) + (3) ⇒

3x - y = 6  

-3x  + 3y = -12

0   +2y = -6

y = -6/2 = -3

x - y = 4  

x = 4 + y = 4 + -3 = 1

x = 1 and y = -3

Answer:

False

Step-by-step explanation:

Set the data in order.

1, 2, 4, 6, 7, 8, 9, 9, 9

Now try finding the middle of the data set by taking out the sides equally one by one.

1, 2, 4, 6, 7, 8, 9, 9, 9

  2, 4, 6, 7, 8, 9, 9

      4, 6, 7, 8, 9

          6, 7, 8

              7

7 is the median

The median of the data set [1, 2, 6, 7, 8, 9.4, 9.9, 9.9] is not 9.4, but instead is 7.5, which is calculated by getting the average of the two middle values, in this case, 7 and 8.

The given set of data is: [9.4, 9.9, 9.9, 8, 7, 6, 1, 2]. The first step is to put the data in numerical order, so we have [1, 2, 6, 7, 8, 9.4, 9.9, 9.9]. The median is the middle value in an ordered data set. Since this set has an even number of data values (8), the median is calculated as the average of the two middle values. Here, the middle values are 7 and 8. Therefore, to find the median, we add these two values together and divide by 2. Hence, 7 + 8 = 15, and 15 divided by 2 equals 7.5. Therefore, the median of this data set is 7.5, not 9.4.

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Answer:

x=4

Step-by-step explanation:

3x-4=8

3x=8+4

3x=12

3x/3=12/3

x=4

The value of x for the given equation 3x - 4 = 8 will be 4.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

Hence "The value of x for the given equation 3x - 4 = 8 will be 4".

For more about the equation,

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according to the graph, 25% chose water, and

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190[/tex]

Answer:

  see attachment

Step-by-step explanation:

The applicable property of exponents is ...

[tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]

The 4th selection uses this property directly. The 3rd selection uses the property

[tex](a^b)^c=a^{bc}[/tex]

to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.

Answer:

-1

Step-by-step explanation:

The given expression is:

[tex]-\frac{2}{3}\div \frac{4}{6}[/tex]

We multiply by the reciprocal to get:

[tex]-\frac{2}{3}\times \frac{6}{4}[/tex]

We factor so that we can cancel easily:

[tex]-\frac{2}{3}\times \frac{3\times 2}{2\times 2}[/tex]

Cancel the common factors to get:

[tex]-\frac{1}1}\times \frac{1\times 2}{1\times 2}[/tex]

This simplifies to:

[tex]-1[/tex]

Answer:The final answer is 1.

Step-by-step explanation:

Do you need help on the Vertical Angles?

Answer:

3/4

Step-by-step explanation:

So you give them all a common denominator of 8. This means Maria eats 2/8 of the pizza, Kara eats 1/8 of the pizza, and Tommy eats 3/8 of the pizza. When you add them you get 6/8 which simplified to 3/4.

Answer:

The ending bank balance would be $260.89

Step-by-step explanation:

210.84 - 40.00

170.84

170.84 + 90.05

260.89

Answer:

The ending bank balance would be $260.89

Step-by-step explanation:

210.84 - 40.00  

170.84  

170.84 + 90.05

260.89

Step-by-step explanation:

To find the length of a side of a square fins the square root of the area.

Area = 200 cm^2

Side = √200

Side = 10√2 (Exact length)

or 14.142 cm's ( round the decimal answer as needed.)

(X + 4)(X^2 - 1) = x^3 + 4x^2 - x - 4

Answer: You would shift "y=x+3" 5 units down to get "y=x-2".

Step-by-step explanation:

Subtract 3 by 5 and you will get -2.

Hope this helps.

Answer:

(212 cups/2 dozen)(15 dozen) = 1,590 cups

Answer:

there would be 4 vertices

Step-by-step explanation:

Answer:

6t - 3

Step-by-step explanation:

9t - 3t + 2

Combine like terms: 9t - 3t = 6t

so

9t - 3t + 2

= 6t - 3

Answer:

Step-by-step explanation:

-5(x + 7) < -10            use the distributive property a(b + c) = ab + ac

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10         add 35 to both sides

-5x < 25         change the signs

5x > - 25       divide both sides by 5

x > -5

There is approximately a 0.000004% chance you'll get 4 aces. (1/270725)

Hope this helps!

Answer:

The answer is 121.50

Step-by-step explanation:

Multiple 6 by the 20 first so you get 120

Then multiply 6 by the .25 and you get 1.5

So just add 120 with 1.5 and you get 121.50

Answer:

121.5

Step-by-step explanation:

Bad at explaining look at picture.

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are angles that are opposite of the transversal line, but are found outside or the external side of the of the line that intersects them.

If the lines that intersect them happen to be parallel, then their measures would be congruent.

ANSWER

<1 and <8 are alternate exterior angles.

EXPLANATION

From the diagram we can trace a Z shape between the two parallel lines.

When we trace the shape, <1 and <8 will be on the exterior corners of the z-shape.

z-angles are called alternate angles.

These two angles are alternate to each other.

Hence <1 and <8 are alternate exterior angles.

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

Answer:

1) 620- 37.4p≤450

2) 5

Step-by-step explanation:

Total weight of rena and packages = 620 kg

lift limitation= 450 kg

mass of each load= 37.4 kgs

As the mass limit for the elevator is 450 kg therefore the from the Total weight of rena and packages (620 kgs) rena needs to subtract weight of some number of packages (p x 37.4)

hence

620- 37.4p≤450

2)

Solving for minimum whole number of packages p, rena needs to remove to meet the elevator limitation:

620- 37.4p≤450

37.4p≤-450+620

37.4p≥170

p≥4.5

rounding off to whole number

p≥5 !

The problem involves calculating the probability of winning a prize in an art contest. The total prizes are 5 and the total students are 50. Therefore, the probability of winning a prize is 5/50 = 10%

The problem you're asking about is a classic question in the field of probability. In this case, we have 50 students entering an art contest. There are 1+1+3=5 prizes to be won. Therefore, the total number of ways of winning a prize is 5.

The total number of outcomes (which in this case is the total number of students) is 50. Thus, the probability of a student winning a prize can be calculated as the ratio of the number of ways of winning to the total number of outcomes. This gives us:

P(Winning a prize) = Number of ways of winning / Total number of outcomes = 5 / 50 = 0.1 or 10%.

So, each student has a 10% chance of winning a prize in the contest.

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The probability of winning a prize in the art contest is 1/10.

To find the probability of winning a prize in the art contest, we need to consider the total number of students and the number of prizes available.

There are 1 prize for 1st place, 1 prize for 2nd place, and 3 prizes for honorable mention.

Therefore, a total of 5 prizes are available.

The probability of winning a prize can be calculated by dividing the number of prizes by the total number of students.

So, the probability is 5/50, or 1/10.

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The missing dimension of a triangular prism ​is found with the help of the formula for the volume of the prism.

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The volume of the prism will be;

[tex]\rm V=\frac{1}{2} \times b \times h\times L[/tex]

Where,

b is the triangle's base length

h is the triangle's height

L is the length is the prism length

Hence, the formula for the prism's volume is used to get the missing dimension of a triangular prism.

To learn more about triangular prisms refer:

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