Question and choices are in the photo please explain the answer

Question And Choices Are In The Photo Please Explain The Answer

Answers

Answer 1

Answer: The correct option is B.

Step-by-step explanation:

(x+5)(2x-1)=3(x+5)

Multiply the parentheses

2x^2 - x + 10x - 5 = 3x + 15

Collect like terms

2x^2 + 9x - 5 = 3x + 15

Move the expression to the left hand side and change its sign, then equate it to 0

2x^2 + 9x - 5 - 3x -15 = 0

Collect like terms

2x^2 + 6x - 20 = 0

Divide each term of the equation by 2

x^2 + 3x - 10 = 0

Rewrite the expression in factorized form

x^2 + 5x - 2x - 10 = 0

Factor the expression

x(x + 5) - 2(x + 5) = 0

(x + 5) (x - 2) = 0

Separate into possible cases but when the product of factors equals 0, at least one factor is 0.

x + 5 = 0———equation (1)

x - 2 = 0———-equation (2)

Solve the equations

x + 5 = 0———equation (1)

Make x the subject

x = 0 - 5

x = -5

x - 2 = 0———equation (2)

Make x the subject

x = 0 + 2

x = 2

Hence, the possible values of x are -5 and 2.


Related Questions

the expanded form of 6,398 is​

Answers

Answer:

The expanded form of 6,398 is 6000 + 300 + 90 + 8

6,000+ 300+ 90+8 is the Expanded form

31. The volume in a water drum is halved every 2 days of a drought. If the volume of water
in the drum was initially 1,000,000 gallons, what was the approximate volume after 10
days?

Answers

Answer:

30'000 gallons approx

Step-by-step explanation:

day 2 - 500,000 gallons

day 4 - 250,000 gallons

day 6 - 125,000 gallons

day 8 - 62,500 gallons

day 10 - 31,250 gallons

Tom and friends went to the movie the show started at 2:30pm and ended at 4:15 how long did the movie last Well the movie lasted 1 hour and 45 mins hope this help

Answers

Answer:

You are correct, it is 1 hr 45 minutes since 2:30+30 = 3:00 and 1:15 + 3:00 = 4:15. 1:15+30 = 1:45.

Step-by-step explanation:

what is 5 pi over three raidans in degrees

Answers

Answer:

300 degrees

Step-by-step explanation:

5 pi/3

To change radians to degrees, multiply by 180/pi

5 pi/3 * 180/pi

5/3 * 180

5 * 60

300 degrees

find the slope of the line that contains 2,2 and -3, 4

Answers

Answer:

-2/5

Step-by-step explanation:

your answer is -2/5 because whenever you have two points you can go ahead and just do rise over run and the formula is y1-y2/x1-y1 now you can go ahead and label them so y1 is 2, y2 is 4, x1 is 2 and x2 is -3 and now plug everything in

2-4/2-(-3)

-2/5

A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?

Answers

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³

HELP PLEASE ALSO NO LINKS THANK YOU

Answers

Answer:

21

Step-by-step explanation:

(base1+base2)2/ height

Point J is the image of point A. Which translation describes the transformation?

A.(x-10, y+10)

B.(x+5, y-10)

C.(x-5, y+10)

D.(x+10, y-5)

Answers

It’s will be A
I hope it’s correct

which of the following is equal square root of 9 x 4

Answers

I don’t see a picture attached but I think the answer is 6

Answer:

You didn't list any "of the following"

Here are some possible answers

√( 9 x 4) = 3 * 2

√( 9 x 4) =  6

plsplspls help it's due today and is needed for reports. I'll brainlist you! just do the questions u know and leave the ones u don't idm I'll do it myself but at least do a few. it'll make my day:)​

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

For all right triangles, the Pythagorean Theorem states:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the right triangle.

Therefore, we have (starting from the blanks):

[tex]x^2+576=676,\\x^2+576-676=676-676,\\x^2=100,\\x=\boxed{10}[/tex]

Solve for in the diagram below.
(2x + 45°
7
RO
7 -

Answers

Answer:

45°

Step-by-step explanation:

The angles should add to 180°. so we can say 2x+45+x=180

3x+45=180

3x=135

X=45°

Answer:

x = 45°

Step-by-step explanation:

The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:

Given |

[tex]2x + 45 + x = 180[/tex]

2x + x

Combine like-terms. |

[tex]3x + 45 = 180[/tex]

180 - 45

Subtraction Property of Equality. |

[tex]3x = 135[/tex]

135 / 3

Division Property of Equality. |

[tex]x = 45[/tex]

Help me please help me please help me please !!!!!!!!!!!!!

Answers

Answer: y = 1/4x - 1.

Step-by-step explanation: This line has a slope (rise over run) of 1/4, and a y-intercept of -1. Plugging those values into slope-intercept form (y = mx + b) gives you the answer.

PLEASE HELP!
*multiple choice*

Answers

Answer:

∠B, ∠A, ∠C

Step-by-step explanation:

The largest angle will have the largest side length and vice versa.

Hi. the answer should be E. B A C

hope this helps!

John has 8 cards that spell the word H O M E W O R K. He shuffles them and then places them face down. Assume he returns the card on each occasion.
a) What is the probability that he will choose the letter O?

Answers

Answer:

1/4

Step-by-step explanation:

You’re answer is 1/4 as you need to simply divide number of “o” letters by total number of letters

Why would the answer be 3.?

Answers

Answer: Cause why not?

Step-by-step explanation:

[tex]3(4x-1)=-2x+19+8x-4[/tex]

First combine like terms:

[tex]3(4x-1)=(-2x+8x)+(19-4)\\\\3(4x-1)=6x+15[/tex]

Now distributive property

[tex](3)(4x)-(3)(1)=6x+15\\12x-3=15+6x[/tex]

Additive Property of Equality

[tex]12x-3+3=15+6x+3\\12x=18+6x[/tex]

Subtractive Property of Equality

[tex]12x-6x=18+6x-6x\\6x=18[/tex]

And finally Division Property of Equality

[tex]\frac{6x}{6} =\frac{18}{6} \\x=3[/tex]

The train departs from Paris at 2028 and the journey takes 9 hours 10 minutes. Find the the train arrives in Milan​

Answers

20:28 plus 9 hours = 05:28
05:28 plus 10 minutes = 05:38
Answer= 05:38

Which linear equation best fits the data ?

Answers

Answer:

[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]

The three planes given meet at a point. The planes are 3x+y-2z = 11, 4x-2y+z = -5, x+5y-4z = 33. The intersection is at what point? (Please explain.)

Answers

Answer:

(2, 7, 1)

Step-by-step explanation:

We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z

3x + y - 2z = 11

4x - 2y + z = -5

x + 5y - 4z = 33

We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.

We can add 2 times the second row to the first row and 4 times the second row to the third row to get

11x - 3y = 1

4x - 2y + z = -5

17x -3y = 13

We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then

11x - 3y = 1

4x - 2y + z = -5

6x = 12

From the third row, we can gather that x= 2. We can then plug that into the first row to get

22 -3y = 1

subtract 22 from both sides

-3y = -21

divide both sides by -3

y = 7

We can then plug our x and y values into the second row to get

4(2) - 2(7) + z = -5

8 - 14 + z = -5

-6 + z = -5

add 6 to both sides

z = 1

Our answer is thus (2, 7, 1)

What is the volume of a cube with a side length of 3tunits?
Cube V = 93

Answers

Answer:

The volume 27.

The volume of a cube:

Volume = side³

The volume of a cube with side 3 units is 27 cubic units.

What is a cube?

It is a polygon having six faces.

The volume of a cube:

Volume = side³

Example:

The volume of a cub with a side length of 2 cm is 8 cubic cm.

We have,

Side = 3 units

Volume = Side³

Volume:

= 3³

= 3 x 3 x 3

= 27 cubic units

Thus,

The volume of a cube with side 3 units is 27 cubic units.

Learn more about cubes here:

https://brainly.com/question/11168779

#SPJ2

The isosceles triangle has a perimeter of 7.5 m.
Which equation can be used to find the value of x if the
shortest side, y, measures 2.1 m?
y
O 2x-2.1 = 7.5
O 4.2 + y = 7.5
X
O y-4.2 = 7.5
0 2.1 + 2 x = 7.5
Mart this and return
Save and Exit
Next
Submit

Answers

Answer:

Option d) 2.1 + 2x = 7.5

Step-by-step explanation:

An isosceles triangle is a triangle with two equal sides.

Perimeter of a triangle is some of all the 3 sides.

Let the equal sides be x

Let the third side be y

Therefore,

              Perimeter = x + x + y

                         7.5 = 2x + y    

                          7.5 = 2x + 2.1                    [ given shortest side, y = 2.1m ]

Please help me with my maths

Answers

Answer:

Step-by-step explanation:

x² + 5x³ +2x + 4 - 3x⁴

1) -3x⁴ + 5x³ + x²  + 2x + 4

2) Coefficient of  x⁴ term = -3

3) Index (Exponent) of term x = 1

4) Degree of the  expression : Highest power/exponent/ index is the degree.

Degree of the  expression = 4

5) Constant term : 4

6) There are 5 terms in the expression

7) x = 2

-3(2)⁴ +5(2)³ + 2² + 2*2 + 4 = -3*16 + 5*8 + 4 + 4 + 4

                        = -48 + 40 +4 + 4 + 4

                        = 4

A card is chosen at random from a pack of playing cards. what is the probability that it is either a heart or the queen spades​

Answers

Answer:

14/52=7/26

favorable outcomes = 14 (heart =13 queen of spades=1)

total outcomes = 52

hope it helps

simplify
x2 + 6 − (3x2 − 2x − 5)

Answers

Answer:

- 2x² + 2x + 11

Step-by-step explanation:

Given

x² + 6 - (3x² - 2x - 5) ← distribute parenthesis by - 1

= x² + 6 - 3x² + 2x + 5 ← collect like terms

= - 2x² + 2x + 11

Answer:

Step-by-step explanation:

An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles. To the nearest tenth of a degree, what was the angle of elevation?

Answers

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

The angle of elevation to the nearest tenth of a degree is 11.54°.

What is an angle of elevation?

An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.

In trigonometry, the angle of elevation can be determined by using the sine rule.

[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]

[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]

[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]

[tex]\mathbf{ \theta =11.54^0}[/tex]

Learn more about the angle of elevation here:

https://brainly.com/question/88158

Can someone please help me with this it’s so confusing

Answers

Answer:

B and C

18-10 is 8

6 times 10 is 60

A(n) _____ is a statement that you conclude to be true based on logical reasoning. argument proof conclusion conjecture

Answers

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

Conclusion = Result made after a generalized study.Argument = A series of reasons that leads to a conclusion.proof = An argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems.

Part A: Drag the factors of 45 and 75 into the correct boxes.
Part B: What is the greatest common factor of 45 and 75? Enter your answer in the box.

Answers

Answer:

3 x 5 is the gcf of 45 and 75. gcf(45,75) = 15.

Step-by-step explanation:

hope this helped! yw :}

Which expression is equivalent to

Answers

Answer:

8x^12 y^3

Step-by-step explanation:

8x^12 y^3

The algebraic expression 6x² + 9x + 3 represents the area of a rectangle. What is the area of the
rectangle when x = 3 feet?
a. 51 square feet
b. 60 square feet
c. 66 square feet
d. 84 square feet

Answers

The answer is D because 6(3)2 which is 6 x 9 = 54 + 9(3) = 81 + 3 = final answer 84

Help meeeee pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

m<K = 146°

Step-by-step explanation:

From the above information given, we can conclude that ∆JKL is an isosceles triangle with two equal sides, KL and JK. Therefore, the angles opposite each side of KL and JK are congruent to each other. Which are:

<J and <L.

m<J = 17° (given)

Therefore,

m<L = m<J = 17° (base angles of the isosceles ∆)

m<L = 17°

m<K = 180° - (m<J + m<L)

m<K = 180° - (17 + 17)

m<K = 146°

Other Questions
Describe the formation of calcium chloride (4 marks) PROBLEM IS ABOVE PLEASE HELP Under absorption costing , a company had the following per unit costs when 10,000 units were produced Direct labor Direct materials Variable overhead Total variable cost Fixed overhead ( / Total product cost per unit $ 2.80 3.80 4.80 11.40 6.00 $ 17.40 Required : 1. Compute the company's total product cost per unit under absorption costing if 12,500 units had been produced 2. Fill in the blank with increase or decrease can someone help please.. PLEASE HELP!!!The number of adults who have seen a new family play at the local theater, measured in hundreds of people, is represented by thefunction a (w) = -0.4w2 + 3w + 8, where w is the number of weeks since the play opened.The number of children who have seen the same play, measured in hundreds of people, is represented by the functionc (w) = -0.3w2 + 2w + 13, where w is the number of weeks since the play opened.What function, d (w). can be used to determine how many more children than adults have seen the play in any week?d (w) = -0.1w2 + 5W + 21d (w) = 0.1w2 w+ 5d (w) = -0.1w2 w + 5Od (w) = 0.1w2 + 5W + 5 Which pair of angles are vertical angles?A) B)C)D) Please answer it i need this Why is goddess Aphrodite important? Triangle GCH is similar to triangle DCE. Find CH 1234568The only reason that countries flocked to the "New World" was to spread their idea of religion.Please select the best answer from the choices providedTF What is the length of AB? How do Earth's spheres interact as systems, both within each sphere and with other spheres? could someone list 5 ways in which people express their identity in a positive way and also 3 ways in which people express themselves in negative ways. i'd rly appreciate anyone's help, thanks in advance! Q1. What is the mass of a ball that has a kinetic energy of16 J and it is traveling at 4 m/s?Q2. What is the kinetic energy of a soccer ball which has a mass of 1 kg and is kicked with a velocity of 10 m/s? Q3.exercise ball is on a table 2 m above the ground. What is the mass of the ball if it has a GPE of 40 ? Q4.What is the gravitational potential energy (GPE) of a 2 kilogram book that is 20 meter above the ground? Suppose independent truckers operate in a perfectly competitive constant cost industry. If these firms are earning positive economic profits, what happens in the long run to the following: The price of trucking services 1.Did you know, that Marcus is getting married on July 26th, Which statement about correlation and causation is true?1. Correlation cannot occur without causation.2. Correlation and causation are always unrelated.3. Causation implies correlation.4. Correlation implies causation. Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold? What did the USA Patriot Act empower law enforcement agencies to do?a. Convict U.S. citizens without trial.b. Wiretap and spy on citizens without their knowledge.c. Detain family members to secure the surrender of a suspect.d. Employ physical torture to extract evidence from suspected gang members.e. Prevent defendants from learning the charges brought against them. Which graph shows the solution to the system of linear inequalities?y < 2x - 5y> -3x + 1 Is it this one?