Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8

a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________

The events are mutually exclusive and the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

The given parameters are:

Standard deck = 52

n(7) = n(9) = 4

The probability of choosing a 7 or a 9 is calculated as:

P(7 or 9) = P(7) + P(9)

So, we have:

P(7 or 9) = 4/52 + 4/52

Evaluate

P(7 or 9) = 8/52

Simplify

P(7 or 9) = 2/13

Hence, the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

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Answer:

A. 42.1%

Step-by-step explanation:

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula [tex]\displaystyle nCr=\frac{n!}{r!(n-r)!}[/tex] which describes the number of ways we can choose [tex]r[/tex] objects given [tex]n[/tex] possible choices. So, if [tex]n=7[/tex] and [tex]r=4[/tex], then:

[tex]_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35[/tex]

Hence, the teacher can make 35 different geometry quizzes.

Answer:

Domain is -1 ≤ x ≤ 1.

Range is  0 ≤ y ≤ π/2.

Step-by-step explanation:

The  arcsin only exists for  -1 ≤ x ≤ 1 so this domain is

-1 ≤ x ≤ 1.

When x = 1 or -1 ,  y =  arcsin(1^2) = π/2

When x = 0 , y = 0.

Answer:

x³-2x²-22x-21

Step-by-step explanation:

(x+3) (x²-5x-7)

x³-5x²-7x+3x²-15x-21

x³-2x²-22x-21

[tex]Answer☘️[/tex]

[tex]\large{\underline{ \boxed{ \sf{✰\:Important\:points }}}}[/tex]

[tex]\pink {\underline{ \boxed{ \sf{»\:distributive\:property }}}}[/tex]

⇝A property of functions that have a rule describing how the function can be performed to the individual components of another operation.

⇝If the operation ★ is distributive with respect to the operation °, then a★(b°c)=(a★b)°(a★c).

[tex] \sf➛(x + 3)( {x}^{2} - 5x - 7) \\[/tex]

[tex]\\ \sf \:➛ distributing \: x \: with \: ( {x}^{2} - 5x - 7) \\ \sf \: then \\ \sf \:➛ 3 \: with \: ({x}^{2} - 5x - 7)[/tex]

[tex] \sf \: ➛gives \\ \sf \: ➛{x}^{3} - 5 {x}^{2} - 7x + 3{x}^{2} - 15x - 21 \\ [/tex]

[tex] \sf➛{x}^{3} + 2 {x}^{2} - 22x - 21[/tex]

[tex] \underline{ \boxed{ \sf{✰\: Option\:D✓ }}}[/tex]

Hope it helps ~

Answer:

9240

Step-by-step explanation:

22

​

​

×

Vice President

21

​

​

×

Treasurer

20

​

​

Answer:

Step-by-step explanation:

9240

If he makes his trade on the day with the least favorable exchange rate, the amount received is ins 38.35

From the complete question, we have the following parameters:

£1= 0.47 --- least favorable rate

Given that the uses a charge of 8%, the amount received when he converts  £88.65 is calculated using:

Amount = Rate * Amount * (1 - 8%)

So, we have:

Amount = 0.47 * 88.65 * (1 - 8%)

Evaluate the product

Amount = 38.33

The closest amount to 38.33 is 38.35.

Hence, the amount received is ins 38.35

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Answer:

So i think it woulds be a 12 by 12 house beceasue 9+3=12 so it would be 12 by 12

Hope This Helped Sorry if It Is Not What You Wanted.

Answer:

144 ft ²

Step-by-step explanation:

Given:

A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.

Solve:

The expression 12(9+3) represents the total area in square feet.

Hence you can use the expression 12(9+3) to find the area.

12(9+3)        {Solve in the parentheses}

12(12)           {Multiply}

= 144

Hence, the area is 144 ft ²

Kavinsky

Answer:

1

Step-by-step explanation:

The first equation's y value can be replaced with -x + 3, then solve it:

3x - 1 = -x + 3

3x + x = 3 + 1

4x = 4

x = 4 divided by 4

x = 1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

total type of books are 4 types

the probability of one book is 60

so the probability of type of a book is 4/60=1/15

Answer:

1/4.

Step-by-step explanation:

1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!

Answer: 1/4

Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help

Answer: [tex]No~Solution[/tex][tex]s[/tex]

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : [tex]-4x-11=2(x-3x)+13[/tex]

Equations that are never true:

[tex]1.1 ~~~~ Solve : -24 = 0[/tex]

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is [tex]No~Solution[/tex]

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex]  is the expression [tex]\frac{2}{k+2}[/tex]

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1} \\\\This\ can\ be\ simplified\ to:\\\\(\frac{2(2k+1)(k-2)}{(k+2)(k-2)(2k+1)}) \\\\=\frac{2}{k+2}[/tex]

The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]

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Answer:

coordinate, acute, ray, acute, star, ray

Step-by-step explanation:

The United States has a complex government system. One important tenet of this system is democracy, in which the ultimate power rests with the people. In the case of the United States, that power is exercised indirectly, through elected representatives. Although the U.S. has been a strong proponent of democracy, it did not invent democracy. The Greeks are often credited with pioneering a democratic government that went on to influence the structure of the United States. Read this article that describes how elements of ancient Greek democracy heavily influenced the figures that designed the United States government.

Answer:

x=18

Step-by-step explanation:

we know that in parallelogram opposite sides are equal

Hence on equating we get

x=18

Answers:

Kinetic Energy Formula: [tex]KE = \frac{1}{2} mv^2[/tex]

Potential Energy Formula: [tex]PE=mgh[/tex]

Explanations:

For KE:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

For PE:

In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.

[tex]\text{Compare}~ x^2 +5x +4=0~ \text{with the standard form of quadratic equation}~ \\\\ax^2 +bx +c =0\\\\a=1\\\\b=5\\\\c=4\\\\\sqrt{b^2 -4ac} = \sqrt{5^2 -4 \cdot 1 \cdot 4} = \sqrt{25 -16} = \sqrt{9} =3[/tex]

Answer:  [tex]\frac{3(6-3)-2x^{2}+15 }{5} : \frac{-2x^{2}+24 }{5}[/tex]

You're welcome.

The statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

A place at which the entire mass of a body or all the masses of a system of particles appears to be concentrated is defined as the center of mass of a body or system of particles.

We have statement:

If you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass.

As we know, center of a mass is an object balance point it doesn't need to have equal amounts of mass on both sides of the center of mass.

Thus, the statement 'if you are balancing an object on its center of mass, there must be equal amounts of mass on both sides of the center of mass" is false.

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Step-by-step explanation:

area of square = 16

area of semi circle =( π/2)*4 = 2π

total area = 22.48cm^2

Answer:

1 solution

Step-by-step explanation:

8m = - 48 ( divide both sides by 8 )

m = - 6 ← is the only solution

Answer: 8y

Step-by-step explanation:

Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula [tex](x-4)^2 + (y-5)^2 = ?^2[/tex] from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

[tex](0-4)^2 + (3-5)^2 = ?^2[/tex]

This simplifies to:

[tex](-4)^2 +(-2)^2[/tex] = [tex]?^2[/tex]

16 + 4 = 20 = [tex]?^2[/tex]

The answer is 20 so the equation of the circle is [tex](x-4)^2 + (y-5)^2 = 20[/tex]

Answer:

A or B because it is the same aswner

Step-by-step explanation:

Answer:a

Step-by-step explanation: