Solve equation by using the quadratic formula 25x^2 + 35x = -12​

Answers

Answer 1

Answer:

[tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Multiple Roots

Step-by-step explanation:

Step 1: Define

25x² + 35x = -12

Step 2: Rewrite

[Addition Property of Equality] Add 12 on both sides:                                 25x² + 35x + 12 = 0

Step 3: Identify

Identify Variable Parts.

a = 25, b = 35, c = 12

Step 4: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-35\pm\sqrt{35^2-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Evaluate exponents:                                               [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Multiply:                                                                   [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-1200}}{2(25)}[/tex][Numerator - √Radical] Subtract:                                                                  [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{2(25)}[/tex][Denominator] Multiply:                                                                                  [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{50}[/tex][Numerator - √Radical] Evaluate:                                                                  [tex]\displaystyle x=\frac{-35\pm5}{50}[/tex]Evaluate:                                                                                                         [tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]

Related Questions

Regina carns $7.25 per hour for babysitting her little sister how many hours must Regina work to earn $464

Answers

Answer:

64

Step-by-step explanation:

464 / 7.25 = 64

please write an equation for this problem to represent the relationship between the submarines elevation and time.
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent.

Answers

Answer:

I can see if one of my friends can help

Answer:

a?

Step-by-step explanation:

No no BBB

A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?

Answers

Answer: 24 km/h

Step-by-step explanation:

She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h

please help me . weak in here

Answers

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

what does 8+2y-5x+y=x-1

Answers

The value of x is 1/2y+3/2

Answer:

y = 2x - 3

Step-by-step explanation:

8 + 2y - 5x + y = x - 1

3y = 6x - 9

y = 2x - 3

slope is 2, y-intercept is -3


78% of 68 is what number?

Answers

Answer:

53.04

Step-by-step explanation:

please help i will mark branliest

Answers

Answer:

C

Step-by-step explanation:

Hurry i need this right now !!!
The ages of three brothers are consecutive integers. The sum of their ages is 24. Let b represent the youngest brother.
Write an expression to represent the second oldest brother.

Write an expression to represent the oldest brother.

Write an equation to represent the sum of all three brothers.

Answers

Answer:

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?

Step-by-step explanation:

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?

Answer:

[tex]b+1\\b+2\\b+(b+1)+(b+2)=24[/tex]

Step-by-step explanation:

If [tex]b[/tex] represents the youngest brother's age, the second oldest brother's age can be written as [tex]b+1[/tex] and the third can be written as [tex]b+2[/tex], since they're all consecutive.

The sum of all their ages is then [tex]b+(b+1)+(b+2)[/tex] which is equal to [tex]24[/tex], as given.


Please help me
what is the premiter of the semi circle​

Answers

Answer:

B

Step-by-step explanation:

Please help i dont get this

Answers

Answer:

11-2m

Step-by-step explanation:

33-6m/3

= 3(11-2m)/3

= 11-2m (the 3 cancels out)

help please, don't answer if you don't know. ill give brainiest

Information about a rectangle is given below. Find the missing measurement.

Area = 63 km2
Length = 7 km
Width = ? km

Answers

Answer:

Width = 9 km

Step-by-step explanation:

Area is length*width, so to find the width, you divide the area by the length. 63/7 is 9.

What is the first step to solving this equation (5x-11=42)?
A. add 11 to both sides
B. divide both sides by 5
C. multiply both sides by 5
D. subtract 11 from both sides

Answers

Answer:

First, you have to add 11 on both sides, so the answer is A

What is the first step to solving this equation (5x-11=42)?
A. add 11 to both sides
B. divide both sides by 5
C. multiply both sides by 5
D. subtract 11 from both sides

Add the inside number so it would be A

HELP!!!What is the length of BC in the right triangle below

Answers

Answer: 39

Step-by-step explanation:

Answer:

D. 39

Explanation:

you use the pythagorean theorem which is [tex]a^{2}+b^{2} = c^{2}[/tex]

if you look at the triangle we can see that we have to find the length of the hypotenuse (BC).

so your equation will look like this:  

         [tex]15^{2} + 36^{2} =c^{2}[/tex]

Solving For The Length Of BC

1. [tex]15^{2} + 36^{2} =c^{2}.[/tex]      (solve for [tex]15^{2} and 36 ^{2}[/tex])

2. C= 225+1296      (add)

3.  C= 1521               (find the square root of 1521)

4. [tex]\sqrt{1521} = 39[/tex]

Therefore, 39 is your answer

Hope this helps!

Which expression is equivalent to the expression -3 (4r - 2) -2r?

Answers

Answer:

-14r + 6

Step-by-step explanation:

-12r + 6 - 2r

I will give brainliest to the correct answer!

Answers

Answer:

 c). 2x^3  x  ^3[tex]\sqrt{4}[/tex]

Step-by-step explanation:

i hope this is correct! have a good day! c:

Please Help me with this I don’t understand
Polygon E’F’G’H’

is a dilation image of the polygon

EFGH

What is the scale factor of the dilation?

A.3

B.6

C.12

D.1/3

Answers

Answer:

The scale factor of the dilation is 3 A

Step-by-step explanation:

If a polygon dilated by a scale factor k, then the ratio between its sides and the corresponding sides of its image equals k The length of a vertical segment is the difference between the y-coordinates of its endpoints

In the given figure

∵ EFGH is a polygon

E = (-2, 1), H = (-2, -1)

∵ EH is a vertical side

→ By using the 2nd rule above

∴ The length of EH = 1 - (-1) = 1 + 1

The length of EH = 2

∵ E'F'G'H' is its image after dilation by scale factor k

E' = (-2, 5), and H' = (-2, -1)

∵ E'H' is a vertical side

∴ The length of E'H' = 5 - (-1) = 5 + 1

The length of E'H' = 6

→ By using the 1st rule above

∴  [tex]\frac{E'H'}{EH}[/tex] =  [tex]\frac{E'F'}{EF}[/tex] =  [tex]\frac{H'G'}{HG}[/tex] =  [tex]\frac{F'G'}{FG}[/tex] = k

∵  [tex]\frac{E'H'}{EH}[/tex] = k

∵ [tex]\frac{E'H'}{EH}[/tex] = [tex]\frac{6}{2}[/tex]

∴  [tex]\frac{E'H'}{EH}[/tex] = 3

k = 3

The scale factor of the dilation is 3

Q.2*
Simplify
(2a2 – 4a – 8)(a + 1)-1
A. 2a - 6
2
a+1
B. 2a2 - 6a - 2
2
C. 2a + 6+
a+1

Answers

i think the B is the answer

Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every day. There are 365 days in a year. How many days each year does Alisa need to walk the dog?

Answers

Answer: 121 2/3 days

Step-by-step explanation:

Number of days in a year = 365 days

Number of friends = 3 friends

The number of days each year that Alisa need to walk the dog will be:

= Number of days in a year / Number of friends.

= 365 / 3

= 121 2/3 days

= 121 days + (2/3 × 24hours)

= 121 days 16 hours

Note that 24 hours = 1 day

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a jack or a nine.
A) 5/52
B) 6/52
C) 7/52
D) 8/52
Show work pls.

Answers

Answer:

1/169

Step-by-step explanation:

Assume jacks are “a”

and nines are “b”

a= 4/ 52

b= 4/52

now multiply

4/52 x 4/52 = 16/52

and simplify

4/13

(i dont know why the answer choices are different)

srry if the picture is a little blurry

Answers

ANSWER: C)30yd EXPLAINED: base x hight devided by 2 or 1/2 hope this helps

Convert into degrees. 9pi/6

Answers

Answer:

270 degrees

Step-by-step explanation:

Take note that to convert Pi to Radians you need to use the formula of

180 degrees = Pi radians

Therefore if you have 180 degrees multiplied by 9 Pi over 6 you get the degree measurement of 270

I believe, The answer to your question is:

B. 270°

Hope I helped! Have a fantastic day! Bye, you got this! :)

18.4(x-8)=-32+4**
- Many Solutions
- No Solution
- One Solution

19.-(3-6x)=6x+5 *
- One Solution
- No Solution
- Many Solutions

Can someone plz help me on this it’s due soon :)

Answers

Answer:

18. one solution 19. No solutions

Step-by-step explanation:

Which of the following coordinate points is a solution to the inequality y>= -3x+6
A (-2,4)
B (3,-4)
C (4,3)
D (-5,-3)​

Answers

Answer:

I need help ok so this is correct it is c

Step-by-step explanation: First


Please helpoppplllll mei need to complete this I will give brainly

Answers

Answer:

(5,-6) I think

Step-by-step explanation:

The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10

Answers

Answer:

6,9,2,4,10

Step-by-step explanation:

There are possible multiples that can be divisible by 54.

Quickkk solve by graphing u can use a graph I just need the work

y = 3x + 2
6x - 2y = -4

Answers

Answer:

-3x-3y=-24

divide the equation by 3

-x-y=-8

multiply -1

x+y=8

second equation

x+y=8

same equation

so answer is

x+y=8

Step-by-step explanation:

Solve this quadratic equation using factorisation. I will give brainliest, 5 stars and thanks! :) Kind of urgent, I don't have long to hand my assignment in.

x^2 - 6 = 5x

(Please explain how you worked it out as well, I'm not very confident with this and I need to know how it's done. Thank you :) )

Answers

Answer:

x2 + 5x-6

Step-by-step explanation

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

6

and whose sum is

5

.

1

,

6

Write the factored form using these integers.

Help please!!!!
mPSQ=
312
48
132

Answers

Answer:

312°

Step-by-step explanation:

PSQ = 360°- mPAQ

at mPAQ=mSAR

so PSQ =360°-48°=312°

Answer:

Answer:

312°

Step-by-step explanation:

In this it says to find the measure of PSQ

That means the arc starts at P goes through S and ends at Q.

In this case the only section of the circle that is not included is ∠PAQ

∠PAQ is 48° due to reflexive property

Now subtract 48 out of 360

360 - 48 = 312

312° is you answer

Hope this helps

Step-by-step explanation:

hello! please help me solve this asap!

Answers

Answer:

3

Step-by-step explanation:

y-3 = 3x+12

y = 3x +15

so slope = 3 ( number next to the x)

Please help me I’ll mark you brainiest

Answers

Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

Step-by-step explanation:

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