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

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

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

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 ]

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)

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]

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

Which expression is equivalent to

Answers

Answer:

8x^12 y^3

Step-by-step explanation:

8x^12 y^3

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

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 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 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

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

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]

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]

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

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.

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]

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!

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:

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

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 :}

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

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

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

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

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.

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°

HELP PLEASE ALSO NO LINKS THANK YOU

Answers

Answer:

21

Step-by-step explanation:

(base1+base2)2/ height

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

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