Mathematics High School

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

Help me with this problem? GIVING BRAINLIEST!!

Answers

convert all to common units i'll do feet and minutes
A. 18 ft in 20 minutes
B. 90 feet in 150 minutes
C. 60 feet in 90 minutes
D. 11 feet in 15 minutes

18/20 = .9
90/150 = .6
60/90 = 2/3
11/15 = 7.33333
A is the fastest

Answer:

Speed = Distance/time in km/h

a) 18 feet in 20 minutes

0.0054864 km/0.333333hours

=0.01645921645 km/h

b) 90 feet in 2.5 hours

0.027432km/2.5

=0.0109728 km/h

c) 20 yards in 1.5 hours

0.018288km/1.5

=0.012192 km/h

d) 3 2/3 yards in 15 minutes

0.003352800000003048km/0.25hours

=0.0134112

So I think its safe to say that A is the fastest in comparison

are 9x+15 and -9x-15 equivalent expressions

Answers

Answer:

Step-by-step explanation:

Yes!

Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth $1.65. How many of each type of coin does he have?




can put your work too​

Answers

Answer: 19nickels and 7dimes.

Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.

Step-by-step explanation:

Ok so if you know that there are 19nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give you number of dimes.

165-number of nickels=number of dimes

Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10=number of dimes

70/10=7dimes

You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.

Susie has a bag with 9 hair pins, 7 pencils, 2 snacks, and 5 books. What is the ratio of books to pencils?

Answers

Answer:

5:7

Step-by-step explanation:

The answer should be 5:7! Hope it helps hehe

Please help!! I will mark you brainliest

Answers

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?

Answers

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

could somebody help me please

Answers

Answer:

1. -1

2.C

Step-by-step explanation:

Answer:

-1

c

Step-by-step explanation:

I have to show work helpp :(

Answers

Answer:

B

Step-by-step explanation:

Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.

Answers

Answer: let

Total number of those who took part in the survey (T) = 1300

Those were satisfied with the car(t)=910

Percentage of those who are satisfied (S)= (t/T)*100

S=(910/1300)*100

S=70%

Therefore 70% were satisfied

Step-by-step explanation:

Please help!!!
Composition of functions~

Answers

Answer:

[tex]g(h(-8)) = 119[/tex]

Hence, option B) is true.

Step-by-step explanation:

Given

g(x) = 2x-5

h(x) = x² - 2

To determine

[tex]g(h(-8)) = ?[/tex]

In order to determine g(h(-8)), first we need to determine h(-8), so

substituting x = -8 in h(x) = x² - 2

h(x) = x² - 2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so we can write

[tex]g(h(-8)) = g(62)[/tex]

now, to determine g(62), substitute x = 62 in g(x) = 2x-5v

g(x) = 2x-5

g(62) = 2(62) - 5

g(62) = 124 - 5

g(62) = 119

so,

[tex]g(h(-8)) = g(62)=119[/tex]

Therefore,

[tex]g(h(-8)) = 119[/tex]

Hence, option B) is true.

algebraic form of the square of the sum of r and t.

Answers

If it’s the square root of the sum, this expression would be
square root symbol over(r+t)

Which one!?!?
Help please

Answers

Answer:

Option 1

hope this helped :D

Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
than Amari, and DJ collected $15.60 less than Kobe.
If x = the amount raised by Amari, choose the expressions that represent the amount
each other player raised.

Answers

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

what is 3/10 of 68249????????????

Answers

Answer:20474.7

Step-by-step explanation:

68249 divide by 10 then multiply by 3

100 points! I will mark brainliest! Only answer if you know it! Random answers WILL IN FACT be reported :)

Answers

Answer: First choice

Explanation:

2 lines are parallel unless both lines have the same slope and different y-intercept

If our line is y = 1/2x - 8

Then the other line should have (1/2)x as their slopes thus the first choice meet the requirement since it has same slope and different y-intercept.

Answer:

y = 1/2x - 8 this is it

Step-by-step explanation:

Can someone pleasee help or explain to me how u do this? I don’t really Understand ?

Answers

Reflection in the line y = x :
- meaning your line goes through quad 1 and quad 3

The rule for a reflection in the line y = x is :
( x, y ) —> ( y, x )
which in your case is:
( 4, 2 ) —> ( 2, 4 )

So the answer is (2,4)

HELP WITH THIS WORD PROBLEM

While riding a train in New York City, you notice there are 125 passengers in the first carriage, 10 more passengers in the second carriage then there are in the first carriage, and 10 more passengers in the third carriage then there are in the second carriage. If this pattern continues, how may passengers are there in the fourth carriage?

Answers

Answer:

1 cart = 125

2 cart = 135

3 cart = 145

4 cart = 155

Step-by-step explanation:

What is the slope of this line

Answers

-2,1 I believe so good luck

Write the exponent for the expression.

6×6×6×6×6×6×6

The exponent for the expression is _

Answers

Answer:

6^7

Step-by-step explanation:

The number 6 is being multiplied 7 times, so, the exponent would be 7. Hope this helps :)

6 to the 7th power I think

I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?

Answers

Answer:

15.5

Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong

Help! I don’t know if I’m right

Answers

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

I think b!! hope you have a good day

A triangle with sides of 14 15 and 29 does it form a right triangle 

Answers

Answer: No.

Step-by-step explanation: This triangle does not form a right triangle because it does not have a 90 degree angle.

Answer:

No

Step-by-step explanation:

Use Pythagorean Theorem: (a^2 + b^2 = c^2)

a^2 + b^2

(14)^2 + (15)^2

196 + 225 = 421

Now for c:

29^2 = 841

841  does not 421 so its not a right triangle


What is the slope of the line given by the equation below?
y = 4x - 2

Answers

Answer
4
Y=mx+b
Mx is the slope so the answer is 4

Answer:

As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2

are 7x and 3+ like terms that you can combine?

Answers

No they both aren’t like terms

Answer:

no

Step-by-step explanation:

Because the term behind the 7 is a x, but the 3 only has a plus sign. If both numbers had a x, then yes

Hope this Helps!!!

Can someone plz help me. There is an equation and the cost too.

Answers

Answer:

C = 40p

Cost for 15 people: 600 dollars

Step-by-step explanation:

The amusement park charges $40 per person.

That can be represented as 40 × P or 40P.

C is equal to the cost of admission for P people.

So, C = 40P

C = 40P

C = 40(15)

C = 600

The cost of admission for 15 people is 600 dollars.

Hope that helps.

Are 12,24,36,48 proportional

Answers

no. (limit limit )))) is

Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled

Answers

Answer:

The correct solution is "35440.8".

Step-by-step explanation:

The given values are:

Bigger tire's circumference,

= 103 inches

Factor installed tire's circumference,

= 95 inches

Odometer reading,

= 32,000 miles

As we know,

⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]

Where,

⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]

i.e.,

⇒ [tex]K=\frac{103}{95}[/tex]

On applying the formula,

⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]

⇒                                           [tex]=35440.8[/tex]

Help meee please.........

Answers

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

the ratio of 48 patients 6 nurse​

Answers

Answer:

8:1

Step-by-step explanation:

Do 48/6 to find the ratio

Answer
8 patients for every 1 nurse AKA
8:1
Why
48/6 is 8 so

please help me! ( pythagorean theorem)
​

Answers

Answer:

the missing side is √65

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

√65 = √c^2

√65 = c

you’re going to have to find the PT of the smaller triangle first , a2=b2+c2

4 squared = 2 squared + c
16= 4+ c
c squared =12
c=3.464

now that you’ve found c , u have to move on to the bigger triangle

a squared= 7 squared + 3.464 squared
a squared= 49+ 12
a squared = 61
a= 7.8

i hope this helped
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