Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0​

Which Of The Following Is The Solution Set Of The Equation Shown Below? 2x(x+3)-5(x+3)=0

Answers

Answer 1
Final answer:

To solve the equation 2x(x+3)-5(x+3)=0, distribute the terms within the parentheses and combine like terms. Then, use the quadratic formula to find the solutions of the quadratic equation.

Explanation:

To solve the equation 2x(x+3)-5(x+3)=0, let's distribute the 2x and -5 into the terms inside the parentheses: 2x^2 + 6x - 5x - 15 = 0. Combining like terms, we get 2x^2 + x - 15 = 0. Now we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 2, b = 1, and c = -15. Plugging these values into the quadratic formula, we get:

x = (-1 ± √(1^2 - 4(2)(-15))) / (2(2))

x = (-1 ± √(1 + 120)) / 4

x = (-1 ± √121) / 4

x = (-1 ± 11) / 4

So the two solutions are x = 10/4 and x = -12/4, which can be simplified to x = 5/2 and x = -3.


Related Questions

Describe the shape of the data distribution.


1. negatively skewed
2. symmetric
3. positively skewed
4. exponentially skewed

Answers

Answer:

1. Negatively skewed

General Formulas and Concepts:

Statistics

Analyzing data graphsCorrelations and skew-age

Step-by-step explanation:

If we define left of the graph as "negative" and right of the graph "positive", we can see how most data points are shifted to the left.

∴ It would be negatively skewed.

It would not be 2. Symmetric because if we draw a line of symmetry, it is in fact unsymmetrical.

It would not be 3. Positively skewed because the data would be grouped towards the right.

It would not be 4. Exponentially skewed because the data is not strictly increasing bigger and bigger.

In the above figure, m∠XOV = 47° and m∠UOW = (2x + 35)°. If ∠UOW and ∠XOV are vertical angles, what is the correct equation that could be used to solve for x?

Answers

Answer:

(2x + 35)° = 47°

What is the value of x?
3
4
6
8​

Answers

44 skskskgnfjsielekeklekekeududifufufifjfjfjkfjfjfjf

what are the domain, range, and asymptote of h(x)= 2^x+4

Answers

Answer:

Step-by-step explanation:

hello : look this solution

Answer:

c. domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0

Step-by-step explanation:

I took the test.

please help me, very ez

Answers

Answer:

Q' (-2, 2)

P' (-2, 7)

R' (6, 2)

Step-by-step explanation:

When reflecting over a diagnal line such as y = x or y = -x, a trick is to count the boxes at an angle to see how many spaces it is away from the line. Be sure to recipicate what you counted the first time, and when reflecting over y = -x, flip the x and y coordinates and if needed, change the signs.

Hope this helps!

Answer:

Q' (-2, 2)

P' (-2, 7)

R' (6, 2)

Step-by-step explanation:

I need help with this question ASAP for my homework

Answers

Answer:

Slope = 3

Step-by-step explanation: Use the slope intercept form

y= mx +b

Im 100% sure this is correct

What are the domain and range of f(x) = (1/5)^X

Answers

Answer:

Step-by-step explanation:

hello : f(x) = (1/5)^X

the domain is : D=ℝ =]-∞ ,+∞[

limf(x) =0   and : limf(x) =+∞

the range is : E= ]0 ,+∞[

x⊶ -∞                  x⊶ +∞

Help ASAP PICTURE INCLUDED ! /

Find the value of x. Then find the mZS and m/T.
Enter your answers in the boxes.
x=
mZS =
mZT =

Answers

Answer:

x=34

m∠S = 38

m∠T = 111

Step-by-step explanation:

Since the angles of a triangle should add up to 180, you can solve this equation:

31 + x+4 + 3x+9 = 180

the solution is x=34

Then the angles S and T can be found by substituting that value for x.

Answer:

Step-by-step explanation:

In a triangle, there are 180 degrees.

180- 31 = 149 degrees

(x + 4) + (3x+9) = 149

x=34

X+ 4 = 38

3x +9 =111

X =34, T=111, S=38

picture attachment...

Answers

Answer:

march 9th and april 9th

Step-by-step explanation:

What is volume of a cylinder with base area 647 cm2 and a height equal to twice the radius? Give your answer in
terms of pi

A)1024
B)256
C)4096
D)512

Answers

Answer:

A)1024

Step-by-step explanation:

i got it right

A tree is 11 meters tall. What is its height in feet?use the following conversion 1 meter is 3.3 feet

Answers

Answer:

The tree is 36.3ft

Explanation:

Tree=11m

If 1 meter is equal to 3.3 feet we multiple the number of meters(11) to 3.3

Final answer:

To convert from meters to feet, we multiply the given length in meters by the conversion ratio of 3.3. The tree, being 11 meters tall, is therefore approximately 36.3 feet tall.

Explanation:

The question asks us to convert the height of a tree from meters to feet. The tree is 11 meters tall and we'll use the conversion rate of 1 meter being equal to 3.3 feet. To do this, we multiply the height of the tree in meters by the conversion ratio: 11 meters * 3.3 feet/meter. This gives us a height of 36.3 feet. So the tree is 36.3 feet tall.

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NEED ANSWER ASAP!!! Do the data in this table show a function? If you switch the input and the output values is it a function?

Answers

Answer:

no

Step-by-step explanation:

no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless

Will mark Brainliest!
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35¢ off each can.
What was the price of a can of tuna without the coupon?

Answers

1.28 because 35 cents x 5 divided by 8.15 is 6.4 and 6.4 divided by 5 is 1.28

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle’s score to z-score

Answers

Answer:

-1

Step-by-step explanation:

We have that the mean (m) is equal to 66, the standard deviation (sd) 9

They ask us for P (x <57)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (57 - 66) / (9)

z = -1

57 score to z-score is -1

Factor completely.
23 + 7x2 – 52 – 35 =


Pls help

Answers

Answer:

Cannot be factored further.

Step-by-step explanation:

I'm just gonna pretend that the equal sign isn't there.

First, simplify the numbers. when you simplify, you should get 7x^2-64.

This is the final. Your answer should be it cannot be factored further.

Answer:

-50

Step-by-step explanation:

First you have to find what 7 x 2 = (14). Then you take the 14 and add it to the 23 to get 37. You then have to subtract 52 from 37 and that gets you -15. Finally, you subtract 35 from -15 and you get your final answer of -50.

What is the result when 4x^3-3x^2+4x-5 is divided by x-1

Answers

Look at the attached picture⤴

Look at the attached picture⤴Hope it will help u....:)

your answer is 6 .....

what is -2 - the radical 15 over 2

Answers

Answer:

Step-by-step explanation:

-3.9364916731

PLEASE HELP ASAP! ONLY TRUE ANSWERS!

What is the surface area of the triangular prism made by folding up this net? Given:

a= 20 cm b= 25 cm C= 28 cm​

Answers

Final answer:

The surface area of a triangular prism can be found by adding the areas of all faces. The triangular faces are calculated using the formula for the area of a triangle, and the rectangular faces are calculated using the given dimensions of the sides of the triangles. The total surface area is the sum of these areas.

Explanation:

The question is asking for the surface area of a triangular prism. In order to find this, you need to add the areas of all the faces. A triangular prism has 5 faces, 2 are triangles, and 3 are rectangles.

For the triangular faces, we use the formula for the area of a triangle which is 1/2ab, where a and b are the provided dimensions. Thus, the triangle's area is 1/2 * 20 cm * 25 cm = 250 cm². Since there are two of these, the total area is 500 cm².

The rectangular faces are more challenging since it seems like we don't have enough information. The rectangle is made up of the sides of the triangles, so one side is 20 cm. However, we don't know the length (C) of the triangle which would be the other side of the rectangle. Assuming C is given, multiply each corresponding side to get the area of each rectangle, and add all together.

The final step is to add the area of the triangles and rectangles together to find the total surface area of the prism.

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What is the value of cos (120 degrees)?
a. 5.0
b. 8.7
c. -1.7
d. -0.5

Answers

Answer:

b. 8.7

Step-by-step explanation:

What is the solution to the equation 4(1/2) ^x-1 =5x+2

Answers

Answer:

-1

Step-by-step explanation:

Photomath

Answer:

A- 0.6

Step-by-step explanation:

Correct on edge

Which angles are pairs of alternate exterior angles? Check all that apply.

4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.

A: Angle5 and Angle11
B: Angle7 and Angle12
C: Angle11 and Angle16
D: Angle2 and Angle14
E: Angle4 and Angle6
F: Angle8 and Angle10

Answers

Answer:

A & E

Step-by-step explanation:

Is someone gives me the answer to these...you are literally a Goat

Answers

Answer:

1. 12 games

2. 5 gift cards

3. 6 games

4. 2 more bags

Step-by-step explanation:

1. 50/ 4= 12.5, you can't play half a game, so reduce to 12

2. 120-36=84

84/15=5.6, again can't have part, reduce to 5

3. 720-330=390

390/60=6.5, you get it, reduce to 6

4. 30*4=120

200-120=80--  80/30=2.6667, reduce to 2

What are the steps for dividing 297 by 7

Answers

Answer:

using long division

Step-by-step explanation:

find a number that you can multiply.by the bottom of the fraction to make it 10 100 or even 1000 any 1 is following by 0's multiply both the top and the bottom.number.that you choose.

Answer:

42 3/7

Step-by-step explanation

Do long division or if you are using a calculator, divide 297 by 7.

You should receive the answer 42.428

Then, do 42 multiplied by 7. You should receive 294.

297 - 294 is 3

So if you include your 7 your final answer should be 42 3/7

write the mixed number as a fraction 1 3/5. Please put the rational

Answers

Brainliest plz.

Answer:

1 3/5 will be written as 8/5 in improper form.

Step-by-step explanation:

1 3/5 can also be seen as 1 + 3/5.

By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.

1 will become 5/5.

5/5 * 3/5

= (5+3)/5

= 8/5

The fractional form of mixed number 1 3/5 is 8/5 .

Given,

Mixed number : 1 3/5

Here,

1 3/5 can also be seen as 1 + 3/5.

By making the 1 a like term, i.e. multiplying it by 5 (both numerator and denominator) we can add them as like terms.

1 will become 5/5.

5/5 * 3/5

= (5+3)/5

= 8/5

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A company uses the formula below to determine the salary offered to a potential employee, where s is the salary and y is the number of years of experience the potential employee has. s = 1,856y + 45,005 What salary would be offered to a potential employee with 10 years of experience?

Answers

Answer:

$63,565

Step-by-step explanation:

We can solve this problem by using the equation provided to us:

[tex]s = 1,856y + 45,005[/tex]

We are solving for 10 years of experience so for y, we plug in 10 as shown below. Now lets solve for s:

[tex]s = 1,856(10) + 45,005[/tex]    Multiply 1,856 by 10

[tex]s=18,560+45,005[/tex]        Add the two numbers

[tex]s=63,565[/tex]

The salary offered to a potential employee with 10 years of experience is $63,565

Solve: 2/v+1/5=3/w for w

Answers

Final answer:

To solve for w in the equation 2/v + 1/5 = 3/w, a series of algebraic steps including taking reciprocals and simplifying complex fractions leads to w = (15v)/(10 + 2v).

Explanation:

To solve the equation 2/v + 1/5 = 3/w for w, we must isolate w. This involves several algebraic steps. First, we can take the reciprocal of both sides of the equation in order to get w on one side:

∑1/(2/v + 1/5) = 1/(3/w)

Through the properties of reciprocals and complex fractions, the equation simplifies down to:

w = ∑3 × (v × 5)/(2×5 + v)
This can be further simplified by multiplying through by 3 and combining terms under a single denominator. After simplification, we obtain the relationship:

w = (15v)/(10 + 2v)

Whats the solution system? 2x + 5y = 14 x + 3y = 16

Answers

Answer:

Step-by-step explanation:

2x + 5y = 14  -------------(i)

x + 3y = 16 ----------------(ii)

To eliminate x, multiply the second equation by  (-2)

(ii)*(-2)  -2x - 6y = -32

(i)           2x + 5y = 14       { Now add & x is eliminated}

                  - y = - 18     {divide by (-1)}

 y = 18

Plug in y =18 in Equation (i)

2x + 5*18 = 14

2x + 90 = 14

2x = 14 - 90

2x = -76

x = -76/2

x = -38

Answer:

Step-by-step explanation:

hello :

2x + 5y = 14...(*)

x + 3y = 16....(**)

multiply (**) by -2  :  -2x-6y=-32   ...(***)

add(*) and (***) : -y=-18   so y = 18

put this value in to (*) : 2x+5(18)=14

2x = -76

x = - 38

3x - 12y = -30 and x - 6y = -12

Answers

check attached file it has the answers

3x =-18

X= -12

Answer:

Step-by-step explanation:

Complete the work to determine the value of a.


Use the law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction.

Substitute: StartFraction sine (45 degrees) Over a EndFraction = StartFraction sine (77 degrees) Over 8 EndFraction .

Cross multiply: 8sin(45°) = asin(77°).

Solve for a and round to the nearest hundredth:

a ≈

.

Answers

Answer:

5.81

Step-by-step explanation:

just did the problem

Final answer:

To find the value of 'a' given the angles and one side length using the Law of Sines, we calculate a ≈ 5.80 by substituting the values into the formula and solving.

Explanation:

To determine the value of a using the Law of Sines, we are given two angles A and B and the length of one side b. We use the equation provided:

\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\)

Substitute the given information into the equation:

\(\frac{\sin(45^\circ)}{a} = \frac{\sin(77^\circ)}{8}\)

Next, cross multiply to solve for a:

\(8 \times \sin(45^\circ) = a \times \sin(77^\circ)\)

Finally, solve for a:

\(a = \frac{8 \times \sin(45^\circ)}{\sin(77^\circ)}\)

Use a calculator to find the approximate value of a, rounding to the nearest hundredth:

a \approx \frac{8 \times 0.7071}{0.9744}

a \approx \frac{5.6576}{0.9744}

a \approx 5.80

Identificar todas las formas que se representa el intervalo del dominio de la función

Answers

Answer:

III

Step-by-step explanation:

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