How do I solve equations with a variable to the power of something (give steps please)

Like these.
[tex]2x^2+5x=0[/tex]

Answers

Answer 1

Answer:

Step-by-step explanation:

Factoring will reveal the solution. So we divide the equation by the greatest common factor of the terms and use that factor as the coefficient. In this case the greatest common factor is just x.

2x^2+5x

x(2x+5) so the equation will equal zero when either of those expressions is zero because zero times anything is zero. x=0 and x=-5/2

Answer 2

Answer:

[tex]x = 0, -\frac{5}{2}[/tex]

Step-by-step explanation:

First move all terms to one side of the equation to set them equal to 0

That is already done in your problem

The try to factor, if possible.  In your case, factor out x

x(2x + 5) = 0   Now, use the property that says if AB = 0, then A = 0 or B = 0 or both A and B equal 0

So, x = 0    or   2x + 5 = 0

                             2x = -5

                               x = [tex]-\frac{5}{2}[/tex]

Always check your results in the original equation to see if they work

[tex]2(0^{2} + 5(0) = 0 + 0 = 0\\[/tex]

and [tex]2(-\frac{5}{2} )^{2} + 5(-\frac{5}{2} )\\ = 2(\frac{25}{4} ) - \frac{25}{2} \\ = \frac{25}{2} - \frac{25}{2} = 0[/tex]

Both results make the equation true, so [tex]x = 0, -\frac{5}{2}[/tex]


Related Questions

what is the area of the triangular prism repersented by the net below?

Answers

Answer:

Step-by-step explanation:

attach an image

Put a picture pls.....

9.) Paul makes $300 a day and works 20 days a month, but he is fined $20 every day he is late. How
many days can he be late if he wants to make at least $5,910?

Answers

Answer:

3 days

Step-by-step explanation:

20 day x 300 dollar =6000 dollars

6000 dollar - 5910 dollar =90 dollar

Can be fined 80 dollar because 20 is even number

So,days can be fined:

60 dollar divide 20 dollar =3 days

Please help me I'm really stuck on this!

Answers

Answer:

1. 8

2. 9

3. 1

4. 3

5. 125/1000

Step-by-step explanation:

hope I  helped :)

5x + 13 + (2y-7)i = -2 + i please please help

Answers

hope this helps !!!!

Find A if 30% of A equals 30% of 30 plus 30​

Answers

30+30= 60 if A is 30 percent of 60 A=0.3 x 60

Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the expression c + 0.09c, where c is the pre-tax price of the item.

Use the expression to find the total cost of an item that has a pre-tax price of $84.00.

Answers

9514 1404 393

Answer:

  $91.56

Step-by-step explanation:

We can simplify Nancy's cost expression to ...

  c +0.09c = c(1 +0.09) = 1.09c

The the total cost of the item of interest is ...

  (1.09)($84) = $91.56

20 points!!!! Given the regular hexagon, find the measure of each numbered angle.
m21 = 30°, m2 2 = 60°, m 23 = 30°
m2 1 =m22=m3 = 60°
m21 = 60°, m 2 2 = 30°, m 23= 60°
m 21 = 60°, m 22= 30°, m 23 = 30°

Answers

Answer:

C, m angle 1 = 60°, m angle 2 = 30°, m angle 3= 60°

Step-by-step explanation:

Each of the 6 triangles in the hexagon are equilateral, meaning that each angle is 60 degrees (180 degrees in a triangle / 3).

[8x(7 divided by 7)] ^2

Answers

Answer:

Step-by-step explanation:

[8 * (7÷7)]² = [8 * 1]²

                 = 8²

                 = 64

The operation in the inside parenthesis should be done first.

What is the area of the square given the side length 20.5in

Answers

Answer: 420.25in^2

Step-by-step explanation:

Area of Square = s^2

20.5^2 = 420.25

So square’s have equal side lengths.

And to find the area of a Square it would be A side times a side.

So, 20.5x20.5

= 420.25 in

Hope this helped ^^

Can anyone help me choose the correct answer?!

Answers

Answer:

f(x)=9x-7

when x=-1

f(-1)=9×-1-7=-9-7=-16

when x=0

f(0)=9×0-7=-7

other are similar to this

The population in the United States in 2015 was 321 million people. It is projected to increase to 438 million people by the year of 2050. If protections are true, the US population will increase _____ % from 2015 to 2050.​

Answers

Answer:

5

Step-by-step explanation:

Answer:

2.3

Step-by-step explanation:

250/36 =
250 divided by 36 =

Answers

ots shjshdhusksjbsu8osjd

Answer:

0.144

Step-by-step explanation:

[tex] \sqrt[250]{36} [/tex]

Question 16
A line has a slope that is undefined Which of the following points could this line pass through?
А
(6, 4) and (4,-5)
B
(8,5) and (8,-5)
С
(2,3) and (4,3)
D
(-7,1) and (7,6)

Answers

Answer:

b hope it help

Step-by-step explanation:

A, or C because, when you look closely is says undefined which is going back then up, B and D are OUT

simplify the following expression
1/2 (18t) +2t(9)-12​

Answers

Answer:

The answer is 27t - 12.

Step-by-step explanation:

1) Remove parentheses.

[tex] \frac{1}{2} \times 18t + 2t \times 9 - 12[/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{1 \times 18t}{2} + 2t \times 9 - 12[/tex]

3) Simplify 1 × 18t to 18t.

[tex] \frac{18t}{2} + 2t \times 9 - 12[/tex]

4) Simplify 18t/2 to 9t.

[tex]9t + 2t \times 9 - 12[/tex]

5) Simplify 2t × 9 to 18t.

[tex]9t + 18t - 12[/tex]

6) Collect like terms.

[tex](9t + 18t) - 12[/tex]

7) Simplify.

[tex]27t - 12[/tex]

Thus, the answer is 27t - 12.

The diagram shows a wedge ABCDEF.

The base of the wedge is a horizontal rectangle measuring 60cm x 40cm

Answers

9514 1404 393

Answer:

  77.3 cm

Step-by-step explanation:

The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...

  cos(25°) = BC/BF

  BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm

Then the diagonal length FA is found using the Pythagorean theorem:

  FA = √(AB² +BF²)

  FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm

The diagonal length FA is about 77.3 cm.

CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

red box       5, 3, 0, -9, 4, 0, 2, -37

Step-by-step explanation:

✓ = 2x²-4
Is it linear or nonlinear

Answers

nonlinear because it is squared it is a quadratic

What is the 5th term in the sequence 64, 16, 4 ?

Answers

Answer: 1

Step-by-step explanation:

Answer:

1/4 because

1st term 64 : 64/4 = 16

2nd term 16 : 16/4 = 4

3rd term 4 : 4/4 = 1

4th term 1 : 1/4 = 1/4

5th term 1/4

About 0.6 of all the students in the fifth grade are girls. If the fifth grade has 85 ​students, how many of the students are girls​?

Answers

Answer:

51 girls

Step-by-step explanation:

85 represents the total amount of students in 5th grade, including boys and girls.

0.6 or 60% of the 85 students in 5th grade are girls.

0.6 x 85 = 51

Therefore, there are 51 girls out of the 85 students in 5th grade.

the answer is 51. hope i helped

geometry question multiple choice

Answers

Answer:

C I think

Step-by-step explanation:

sin a= opp/ hypotanuese

= 2 root 10/11

so C

if my answer helps please mark as brainliest.

Think of a matrix A and B which are both 3X3 matrices. Do not use all zeros or all
1’s!
3. Multiply A X B and record the result.
4. Multiply B X A and record the result

Answers

Answer:

9

Step-by-step explanation:

3x3 =9 hope this helps bbs

Determine the domain of the following graph
eeehh pls help

Answers

Answer:

x is greater than or equal to -7 and is less than 7

solve 17+6p=9
pls explain​

Answers

17+6p=9
6p=9-17
6p= -8
p= -8/6
p=-4/3
17 + 6p = 9
First we want any number with p on one side and all the other numbers on the opposite side. So we’ll subtract 17 from both sides of the equation.

6p = -8

Then we need to divide both sides by 6 to find p

p = -8/6

Most teachers want the fraction reduced, so it would be -4/3 or - 1 1/3

Let me know if there’s a step that doesn’t make sense & a I’ll try to word it differently for you.

ذا كان | 4س - 2 |= -6 فان قيم (س) هي

Answers

Answer:

Which language is this I don't understand

plese help with both of these

Answers

Answer:

Step-by-step explanation:

Explicit formula of a G.P. is given by,

[tex]a_n=a(r)^{n-1}[/tex]

Here, [tex]a_n[/tex] = nth term

a = First term

n = number of term

r = common ratio

Given sequence is 3, 6, 12, .......

a = 3

r = [tex]\frac{6}{3}[/tex] = 2

Therefore, explicit formula will be,

[tex]a_n=3(2)^{n-1}[/tex]

Option (3) is the answer.

Parent function → f(x) = 3ˣ

Transformed function → g(x) = [tex]3^{x+5}[/tex]

Since, g(x) = f(x + 5)

Therefore, function 'f' has been shifted 5 units left.

Option (1) is the answer.

I NEED HELP WITH THIS QUESTION PLEASE!!

Answers

Answer:

They Sold 100 General Tickets And 250 Student Tickets.

Step-by-step explanation:

100x8= 800

250x5=1250

1250+800=2050

Hope This Helped!

PLS HELP!!!! I dont understand this.

Answers

Answer:

a) 3m + m

b) 2m + 2m

Answer:

Step-by-step explanation:

a) 3m + m

b) 2m + 2m

which equation best matches the graph shown below ?

Answers

The one in the top left (-6x^2+3x-6)

Plz help ill give u brainliest I tried but cant answer pls help

Answers

Answer:

the fraction is already in its simplest form

Hopes this helps:

Answer: 1/5

1. Find the Greatest Common Factor (GCF) of 5, 25.

Which will be 5


2. Divided both the Numerator and the denominator by the GCF.

5 divided by 5, and 25 divided by 5.


3. Simplify.

1/5

Can someone help me with Special Segments of a circle?

Answers

Answer: Segment (of a Circle) A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.

I hope this helped you but, I didnt know the ones on your assignment :)

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