Solve the equation: (5y + 2)(y - 3) = -13(2 + y)

Answers

Answer 1

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!


Related Questions

1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463

b) 320 376, 409 217, 317 758, 329 000, 320 768

Answers

a) 23100, 23405, 607463, 680056, 680155

b) 317758, 320376, 320768, 329000, 409217

When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence?

Answers

Answer:

velocity

Step-by-step explanation:

The velocity of the object is continually changing.  This velocity is the slope of the tangent line to the curve at a given point on the curve.

The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.

What is a circular motion

Circular motion involves not only changes in the object's orientation or direction but also changes in its velocity.

Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.

This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.

Learn more about Velocity

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simplify 2 by 5 into 4 by 7 + 21 by 35​

Answers

Solution:

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

Answer:

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

i) Factorise x^2 - x - 20

Answers

[tex](x + 4)(x - 5)[/tex]

hope it helps

#carryonlearning

see the attachment for the explanation

Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?

Answers

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

Briefly describe the five simple machine types listed 1.Pulley 2. Wheel and axle 3. Screw 4. wedge 5. Incline​

Answers

Answer:

wedge

Step-by-step explanation:

Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?

PLZ PLZ PLZ explain step by step.​

Answers

First find how many students are sick the second year:
0.20 × 120 = 24
Then all you need to do is subtract:
120 - 24 = 96
So the number of students that got sick this year is:
96 students

Rashad wants to buy a TV which is $235. He already has $35. If he saves $25 a week. For at least how many weeks he has to save money so that he can buy the TV?

Answers

8 weeks. 235-35 = 200 200/25 = 8

How to convert rectangular to polar.

Answers

Answer:

To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ .

Jill lives 3 1/2 miles from school. One morning, her friend was giving her a ride. When they were 2/3 of the way to school, their car broke down and they had to walk the rest of the way. Draw a picture to help you figure out how far they walked.

Answers

We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles

So the total distance of the travel is:

(3 + 1/2) miles.

2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.

Then we must solve:

(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles

= (1 + 1/6) miles

So the distance that they must walk is (1 + 1/6) miles

If you want to learn more, you can read:

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For A brainly please help me out

Answers

Answer: 2, 2

Brainly?

HELPPPPPP!!!!!!!!!!!!!!!

Answers

Answer:

I might be wrong i think its C but double check and dont put it in until you are sure its right

Step-by-step explanation:

Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)

Answers

answer is 2.2 66 88862 u88272

Does anyone know this ??

Answers

Answer:

I believe that its C, but don't get mad at me if I get it wrong

help with the problem in picture ​

Answers

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

-2k-4k=-18
i need help asapp

Answers

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

k = 3

Step-by-step explanation:

Given,To find the value of k

Equation:-2k - 4k = -18

Solution:

=> -2k - 4k = -18

(On adding like terms -2k and -4k)

=> -6k = -18

(As -6 multiplied with k in this side, on other side it will divide -18)

[tex] = > k = \frac{ - 18}{ - 6} [/tex]

(On Simplification)

=> k = 3 (Ans)

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.

8 * (-2) = -16

-16 + 2 = -14

So y = -2 is a solution.

Directions: Tell whether the following is a quadratic inequality or not.
1. y = 4x2 + 3x + 9 = ____________________________
2. m + 4 > 0 = ____________________________
3. m2 + 3m + 2 < 0 = ____________________________
4. �� ≤ (x - 5) = ____________________________
5. b2 -14b -15 < 0 = ____________________________
6. (4d2-9) + (2d +3) > 0 = ____________________________
7. x > 8x = ____________________________
8. 0 > 2x2 - 262 = ____________________________
9. n2 +4n =21 = ____________________________
10. 15 – 4p ≥ 10p2 = ____________________________

Answers

Anser

(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation

Step-by-step explanation:

fully simplify 124:72:48

Answers

Answer:

31:18:12

............................

Megan rolls a ball down a ramp until the ball hits the wall.

Answers

cool the answer is y because she spend that

Pls help me asap!! Only answer if u know the correct answer! Thanks! :)

Answers

The answer would be 168 ft tall!

Step by step:

If each floor is 12 ft high, then we can multiply any number by that to get the ft high.

Since there is 14 floors, we can multiply it by 12.

Hope this helped!! :)

12*14=168

Hope this helps!

(sin30° + cos30°) – (sin 60° + cos60°)​

Answers

Answer:

0

Step-by-step explanation:

Sin 30° = ½

Cos 30° = √3/2

Sin 60° = √3/2

Cos 60° = ½

Therefore,

(½ + √3/2) - (√3/2 + ½)

[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]

[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]

[tex] \frac{0 - 0}{2} [/tex]

Answer: 0

For more information on trigonometric refer to this link

PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!! Using the graph above, how many hours would it take to drive 262.5 miles? (Picture below)

Answers

Sheeeeeeeeeeeeeeeeesh
Well the line is increasing by every two boxes so since the 8th hour is 200 miles, 250 would be the 10th since every 50 miles is an hour. And personally I would say 262.5 miles would be 10.5 hours

Find x-intercept and y - intercepts of y = 6x – 1

Answers

Answer:

Look at photo

Step-by-step explanation:


[tex]if \: \sqrt{2} + \sqrt{3} \div 3 \sqrt{2} - 2 \sqrt{3} = x + \sqrt{6y} \: find \: the \: value \: of \: x \: and \: y[/tex]

Answers

Given info:- [tex]\textsf{If (√3+√2)/(3√2-2√3) = x+y√6,} [/tex]

[tex]\textsf{then find the value of x and y?}[/tex]

Explanation:-

[tex]\textsf{Consider LHS=}\\[/tex]

[tex] \rm \: \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ [/tex]

[tex] \rm \: = \frac{ \sqrt{2 } + \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ [/tex]

[tex] = \rm \: \frac{( \sqrt{2 } + \sqrt{3} )(3 \sqrt{2} + 2 \sqrt{3} )}{(3 \sqrt{2} - 2 \sqrt{3})(3 \sqrt{2} + 2 \sqrt{3}) } \\ [/tex]

[tex] \rm \: = \frac{3 \sqrt{2 \times 2} + 2 \sqrt{3 \times 2} + 3 \sqrt{2 \times 3} + 2 \sqrt{3 \times 3} }{(3 \sqrt{2} {)}^{2} - (2 \sqrt{3} {)}^{2} } \\ [/tex]

[tex] \rm = \frac{3 \times 2 + 2 \sqrt{6} + 3 \sqrt{6} + 2 \times 3}{18 - 12} \\ [/tex]

[tex] \rm \: = \frac{12 + 5 \sqrt{6} }{6} \\ [/tex]

[tex] \rm \: = 2 + \frac{5}{6} \sqrt{6} \\ [/tex]

[tex] \rm \therefore \: 2 + \frac{5}{6} \sqrt{6} = x + y \sqrt{6} \\ [/tex]

[tex]\textsf{On, comparing with RHS we notice that:}\\[/tex]

[tex]\textsf{the value of x = 2 and y = 5/6.}\\[/tex]

[tex]\bf{Read more:}[/tex]

[tex]\textsf{Similar questions}\\[/tex]

[tex] \sqrt{6} + \sqrt{11} \div \sqrt{5} + \sqrt{3} [/tex] A. [tex] \sqrt{30} + 3 \sqrt{2} + \sqrt{55} + \sqrt{33} \div 8[/tex] B. [tex] \sqrt{30} - 3 \sqrt{2} ...

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ordered pairs on a vertical line have the same y coordinate. true, sometimes true or not true?

Answers

Pretty sure it’s not true

I’m a vertical line, they will always have the same x axis, but never the same y axis

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

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2 The salary of 157 employees in an office for a month is 710, 582, what is the annual salary of 1 employee, assuming all are paid equally​

Answers

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

A square tile has a side length of 12 cm. What is the area of the tile?

48 square centimeters

72 square centimeters

24 square centimeters

144 square centimeters

Answers

Answer:

144 cm²

Step-by-step explanation:

Remember: If you are finding the area of a square and are given a side, you can simply square it and it will be the area. Thus:

12 x 12 cm = Area of tile.

=> 144 cm² = Area of tile.

Therefore, 144 cm² is the area.

Hoped this helped.

Mai skated x miles, and Clare skated farther than that. Write an expression for the distance Clare skated. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Whats the answer?

Answers

Answer:

X over y or x/y since y is claire and she skated more

Step-by-step explanation:

Pls brainliest

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