2. What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)? A. (2,0) and (-1,0) B. (2,0) and (1,0) C. (-2,0) and (1,0) D. (-2,0) and (-1,0)​

Answers

Answer 1

The x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).

what is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at x-axis.

Here we are having an equation:-

(x-2)(2x+1)=0

2x²+x-4x-2=0

2x²-3x-2=0

2x²-4x+x-2=0

2x(-1)(x-2)=0

x=2    x=0.5

Hence the x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).

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Related Questions

There are 22 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, and Treasurer?

Answers

Answer:

9240

Step-by-step explanation:

22

×

Vice President

21

×

Treasurer

20

Answer:

Step-by-step explanation:

9240

PLEASE HELP NEED ASAP.
Enter the values needed to find the
length AB. (Simplify your answer.)
A (-5x, 4y)
AB = (3x)2 + ([?])
=
D
E
E
C (7x, -1y)
Distance Formula
d = V(x2 - x2)2 + (y2 - yu)?
B (-2x, -47)

Answers

Answer: 8y

Step-by-step explanation:

A(x) = x( 48 - x)
When is A(x) at its maximum?
Explain or show how you know.

Answers

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

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

Please help me with this (20 points)



Answers

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]

Now arranging termsthen adding nd subtracting like terms gives you:-

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

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

Hope it helps ~

Enter a range of values for x.
a
a
3x-90 939
26
27
[?]

Answers

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

True or false? 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

Answers

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.

What is center of mass?

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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Nate has £88.65 to convert into shekalim. the currency exchange he is using charges an 8% fee after the currency conversion has occured. about how many more shekalim will nate receive if he makes his trade on the day with the most favorable exchange rate than if he makes his trade on the day with the least favorable exchange rate? a. ins 41.69 b. ins 38.35 c. ins 31.68 d. ins 6.67

Answers

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

How to determine the amount received?

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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I'm a little stuck on these problems!
100 points!!!

Answers

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.

Of all the students at a high school, 54% are in band and play sports. 78% of all students at the high school play sports. Find the probability that a student is in band given that the student plays sports. Round your answer to the nearest tenth.

A. 42.1%
B. 6.9%
C. 1.4%
D. 69.2%

Answers

Answer:

A. 42.1%

Step-by-step explanation:

Answer 42.1%
Explaination: yes

sean has a total of 60 books on his book shelf of these, 25 are mystery books, 20 are fantasy books, 10 are biography books, and 5 are science books.

Answers

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

If x is a positive integer and y is a negative integer,which of the following comparisons must be true?

Answers

Answer:

  C.  x - y > x

Step-by-step explanation:

You can compare the values of these expressions by using numerical values for x and y.

__

We can let x = 1 (a positive integer), and y = -1 (a negative integer).

A

  y > x + y

  -1 > 1 + (-1)

  - 1 > 0 . . . . . . false

B

  y < xy

  -1 < (1)(-1)

  -1 < -1 . . . . . . false

C

 x - y > x

  1 - (-1) > 1

  2 > 1 . . . . . . true

D

  -xy < x

  -(1)(-1) < 1

  1 < 1 . . . . . . . false

Which prism can be made using the net shown below?

A. triangular prism

B. Triangular prism


Cube


C. Triangular pyramid


D. Rectangular prism

Answers

Answer:

A or B because it is the same aswner

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.

Use the drop-down menus to complete the statements below about the number of bags Lucia can make.

Answers

She could put 6 markers and 8 stickers in each bag to make 8 bags in total.

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.

Answers

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

simplify 3(6-3) -2x2 + 15 /5

Answers

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


You're welcome.

What is the product? startfraction 4 k 2 over k squared minus 4 endfraction times startfraction k minus 2 over 2 k 1 endfraction startfraction 4 over 2 k 1 endfraction startfraction 2 over k minus 2 endfraction startfraction 2 over 2 k 1 endfraction startfraction 2 over k 2 endfraction

Answers

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]

What is an equation?

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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how many solution does 8m=-48 have​

Answers

Answer:

1 solution

Step-by-step explanation:

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

m = - 6 ← is the only solution

urgent!! Write a number that is greater than -7.81 and less than -7 .

Answers

Answer:

-7.6

Step-by-step explanation:

there are many correct answers for this problem

The number that is greater than -7.81 and less than -7 is -7.41. This can be written as -7.81 < -7.81 < -7. This is obtained by taking the midpoint or middle integer of the given integers.

How to find integers between two integers:Firstly add the two integers with respect to their signThen divide the result by 2. that is nothing but taking its average.This results in the integer which is in between the given integers.

Calculation:

Given that a number that is greater than -7.81

so, we can write -7.81 <?

And it is also given that the same number which is less than -7. we can write it as -7 >?

So, from this two we can state that the number which is required lies in between the given two integers.

so, we can write -7.81 <?< -7

To find this, we are applying the average for the two integers.

⇒ -7.81 - 7 = -14.81

⇒ -14.81/2 =-7.405 ≅ -7.41

The obtained number satisfies the given conditions

-7.81 < -7.41 and -7 > -7.41

Therefore, the required number is -7.41.

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please help meeeee what the answer

Answers

Pytago: x^2+x^2=16^2 then solve it, you can find the value of x

Add and simplify your answer. Show your work 1 / 8 + 1 / 8

Answers

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

How many different 4-question geometry quizzes can a teacher make if there are 7 different problems to test on?.

Answers

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.

1. What are the formulas for the two main types of energy?

Answers

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.

Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. Round to the nearest tenth of a percent, if necessary. 16. drawing a card from a standard deck and choosing a 7 or a 9.

Answers

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

How to determine the probability?

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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Find the value of x in the parallelogram below

Answers

Answer:

x=18

Step-by-step explanation:

we know that in parallelogram opposite sides are equal

Hence on equating we get

x=18

Need help on math homework

Answers

The answer is 1 because everything is 1

Explanation would be appreciated but not needed.​

Answers

Perimeter is the outline of a closed shape.you calculate perimeter by adding the lengths of all the sides.

1) x2 + 5x + 4 = 0
a =
b=
C =
vb2 - 4ac =
-

Answers

[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]

PLEASE HELP!!
How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Answers

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]

State the domain and range of: y = arcsin (x²)​

Answers

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.

The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.

Question 5 options:

22.28 cm2

20.56 cm2

32.642

22.542

Answers

Step-by-step explanation:

area of square = 16

area of semi circle =( π/2)*4 = 2π

total area = 22.48cm^2

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