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

Need help i will mark brainliest

Answers

Answer:

6 sq. in

Step-by-step explanation:

To find area of triangle: base* height *1/2

height needs to be at a 90 degree angle from the base.

In this example, the base is 3 in, and the height is 4 in.

Plug these two into the equation

3 * 4 * 1/2 = 12 * 0.5 = 6

Part A


How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.







PLS HELPP PLSSSSSSSSSSs


Part B


If Marcus’s dad wanted to re-cover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.

Answers

3x2x3+2=
Then times the answer u get by 3

Answer:

A) How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.  

Answer: If David’s dad wanted to cover the rectangular side of the tent, he would need to multiply the sides together. Using the formula A = l x w, I can solve for 6 and 9. 9 x 6 = 54, so 54 = 6 x 9.  

B) If David’s dad wanted to re-cover the whole tent including the bottom, how much material would he need?  Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.

Answer: If he wanted to re-cover the whole tent, he would need the product of the rectangular side, the triangular side, and the bottom side. Using A = l x w, I can solve for each side of the tent, For the rectangular side you multiply six by nine, then multiply two by the product. 6 x 9 = 54 x 2 = 108. For the triangular side, I need to multiply six times seven, 6 x 7 = 42. For the bottom, I need to multiply seven times nine, 7 x 9 = 63. Finally, I need to add them all up. 108 + 42 + 63 = 213 ft².                    

 

C) What is the volume of the tent?  Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism.) V=Bh, where B = area of one of the triangular bases

Answer: I need to find the volume of the tent, so I need to find the formula which is V = B x h. The base is 63, because I needed to find the area of one of the triangular bases, so I multiplied 7 x 9 = 63. The height is 6, so I need to multiply 63 x 6. When I multiply 63 x 6, I get the product of 378, so the volume of the tent is 378 ft³.

helpppp asap , help a girl outtttt :’(

Answers

Answer:

4. x=1/5y+3 5. x=-6/9y+2 6. x=-6/1y+4

Step-by-step explanation:

math and stuff

sorry if I am wrong, I haven't done this ina while and never studyed it much

Dont know how to do it ​

Answers

Answer:

multiply them.

Step-by-step explanation:

The height, h, of a baseball in meters at t seconds after it is tossed out of a window is modeled by: h = -5t2 + 2t + 15. A boy shoots
at the baseball with a paintball gun. The trajectory of the paintball is given byh = 3t+ 3. Please answer the following two questions,
Make it clear which solution belongs with each question!
Q1: At what height will the paintball hit the baseball? Round your answer to the nearest thousandths place.

Answers

I think that it is a ttwwoo digit number

Suzie ran a race. She ran 5 miles per hour, and the race took t hours to complete. If the race is 60 miles long, which expression represents the total number of miles Suzie will have left to complete the race? *
pLZ ANSWER QUICK !!!

Answers

The Answer: 60 ÷ 5 = T

what is 1+1 please help

Answers

i think the answer might be 20
I’m pretty sure it’s 11

I am having trouble with is question plz help. What is 2x × x =

Answers

Answer:

X

Step-by-step explanation:

CAUSE

2X=X

DIVIDE BOTH SIDE BY 2 EQUAL ONE AND ONE IS EQUAL TO ( X)

The answer is 2x*x=2x^2

Which is the best estimate of the difference between
6
7
8
and
2
1
8
?

A.
1

B.
3

C.
5

D.
8

Answers

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

Find the measure of the indicated angle that makes line u and b parallel

Answers

7. 73 degrees
8. 113 degrees
i got the same answer!!

Student Council needs $600 for the

spring dance. They only have $210 in the

treasury. The Student Council decides to raise

the rest by selling chocolate lollipops for a $1.50

profit per lollipop. Write and solve an equation

the Student Council could use to find the

number of chocolate lollipops, c, the Student

Council must sell to have the money for the

spring dance.

Answers

Answer:

$490

MARK ME AS BRAINLY

#Carry On Learning

At a basketball​ game, a team made 58 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 99 points in all. Write and solve a system of equations to find the number of each type of shot.

Answers

Step-by-step explanation:

Step-by-step explanation:

1.Right

2.Left

3.Bottom Middle

How do you solve this?
Geometric Mean Middle, Left, Right

Determine the value of x, y, w and z.. Round to the nearest tenths place if necessary.
X =
y =
W =
Z=

Answers

Answer:

w=5   x=2.1    y=5.4   z= 14.1

Step-by-step explanation:

w² = 13² - 12² = 25

w = 5

cos ∠1 = 12/13 = 13/(12+x)

12 (12+x) = 13 x 13 = 169

144 + 12x = 169

12x = 25

x = 25/12 = 2.08 = 2.1

∠1 + ∠2 = 90°

∠2 + ∠4= 90°    ∠4 = ∠1

sin ∠4 = x/y = sin ∠1 = 5/13

5y = 13x

y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4

z = 12 + x = 12 + 2.08 = 14.08 = 14.1

for each value of y , determine whether it is a solution to 3y<24.​

Answers

Answer:

1) No

2) Yes

3)No

4)Yes

Step-by-step explanation:

1) 3(8) is simplified to 24

But 24 < 24 is not a true statement because they are both equal.

2)  3(5) is simplified to 15

15 < 40 is a true statement because 15 is less than 24

3) 3(11) simplifies to 33

33 < 24 is not a true statement because 33 is more than 24

4) 3(6) simplifies to 18

18 < 24 is a true statement because 18 is less than 24

Hope this helped.

In Ms. Regan's closet, there is one gray t-shirt for every two black t-shirts. She buys 6 gray shirts so she now has an equal number of gray and black shirts. How many gray t-shirts and black t-shirts does she own now?

Answers

Answer:

12

Step-by-step explanation:

Given That:

1 gray t-shirt for every 2 black shirt

Number of gray shirts bought = 6 to ensure that number of gray and black t-shirts are the same

Before:

If x = number of gray t-shirt

Number of black t-shirts = 2x

Now :

After buying 6 gray t-shirts

x + 6 = 2x

6 = 2x - x

6 = x

x = 6

Hence,

Numbe of gray and black t-shirt now is :

x + 6 = 6 +6 = 12

2(x) = 2 * 6 = 12

Nth term of 19, 16, ? , ? , 7,

Answers

19,16,13,10,7
Find the latter which is -3 each time

what expression is equivalent to h + 5 + 3 - 2h​

Answers

8 - h is equivalent to h+5+3-2h

We want to combine like terms. So 5+3=8, and -2h + 1h = -1h. We can rewrite the expression as 8 - h.

The equivalent expression of h + 5 + 3 - 2h​ is -h+8.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We have the expression:

h + 5 + 3 - 2h​

To find the equivalent expression:

We simplify the expression,

h + 5 + 3 - 2h​

= h -2h +5+ 3

= -h +8

-h+8 is the equivalent expression of h + 5 + 3 - 2h​.

Therefore, -h +8 is the equivalent expression.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ2

A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.

Answers

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Harry's math test scores are listed below. 95, 90, 85, 40, 100, 100, 85, 90 Which measures of central tendency most closely describes Harry's overall performance on the math test?

Answers

Answer:

85.6%

Step-by-step explanation:

To get two overall performance of Harry, we need to calculate his average score.

Average is also known mean score.

Mean = sum of the score/Total math subjects offered

Mean = 95+ 90+85+40+100+100+85+90/8

Mean = 685/8

Mean = 85.6

Hence her overall performance is 85.6%

The measure of central tendency used is 85.6%

(b)
Work out the value of
3 x 10 x 40 000 000
Give your answer in standard form,

Answers

i think the answer would be, 1200000000

3 * 10 = 30

30 * 40,000,000 = 1,200,000,000

ONE BILLION TWO HUNDRED MILLION

Multiply 3 times 10 first, then 30 times 40,000,000 and you get 1,200,000,000

Hope this helps ^-^

A market buys cashews for $15 per pound. They want to mark up the cashews 20%. What is the new price per pound?

Answers

Answer:

18 dollars

Step-by-step explanation: You find 20% of 15 which is 3 and then add 15 and 3.

Five years ago you deposited a sum of money into a savings account which has earned $150 in interest. The interest rate for the account is 3% simple interest per year. How much money was originally deposited in the account?

Answers

Answer:

$1000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000 × 0.03 × 5 = 150

I = $ 150.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 3% per year

for 5 years is $ 150.00.

PLEASE HELP 3844893 POSTING THIS ND I HAVENT BEEN HELPED

Answers

Answer:

ghnmjmmm

Step-by-step explanation:

fggnmmm

Answer:

x= 4

y= 2

Step-by-step explanation:

sorry if im wrong

A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches

Answers

Answer:

no entiendo

Step-by-step explanation:

express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power​

Answers

Answer:

16:1

plz brainliestt

Step-by-step explanation:

144 : 9

Answer:

16:1

Step-by-step explanation:

Mrs. Kidd took her two children to a waterpark for summer fun. An adult ticket cost $32 and the total price of admission for Mrs. Kidd's family was $84. How much was a child's ticket?

Answers

32 + 2x = 84
2x = 52
x = 26
child's ticket is $26

PLEASE HELP ASAP PLEASE WORTH 20 POINTS!!

Answers

Answer:

y= -2

y=-2

Step-by-step explanation:

Y = -2

Y = -2

Pls give me BRAINLIEST pls

Posted this question 1000times plz some answer, thank you guys, plz show all the working

Answers

Answer:

it may be helpful to you.

Step-by-step explanation:

A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?

Answers

Answer:

1.86 Miles per hour

Step-by-step explanation:

13/7

A rope was tied up so that it was only 7 inches long. When the rope is untied, it is 4 times as long. How many inches long is the rope when it is untied?

Answers

Answer:

28 inches long

Step-by-step explanation:

just multiply 7 and 4

If the rope is 6 inches long when tied than you would do 7 times 4 and get 28 inches or 2 ft and 4 inches
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