Solve x2 – 2x = 15 by applying the quadratic formula.

Answers

Answer 1

Using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.

What is the quadratic formula?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

We have:
x² – 2x = 15

x² – 2x - 15 = 0

The formula is:

x = -b ± √b² - 4ac/2a

Now, insert values as follows:

x = -b ± √b² - 4ac/2a

x = -(-2) ± √(-2)² - 4(x)(-15)/2x

x = 4 ± √2+60x/2x

Therefore, using the quadratic formula, the value of x in the given situation is x = 4 ± √2+60x/2x.

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Related Questions

2. Find the slope of GL, and BH using the coordinates; B(-4,3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.​

Answers

Given:

The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).

To find:

Whether GL and BH are parallel or not by using their slopes.

Solution:

If a line passes through the two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the slope formula, the slope of GL is

[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]

[tex]m_1=\dfrac{-7}{-1+2}[/tex]

[tex]m_1=\dfrac{-7}{1}[/tex]

[tex]m_1=-7[/tex]

Using the slope formula, the slope of BH is

[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]

[tex]m_2=\dfrac{-5}{1+4}[/tex]

[tex]m_2=\dfrac{-5}{5}[/tex]

[tex]m_2=-1[/tex]

We know that slopes of parallel lines are always equal.

The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.

x +4 = 12; x = 16

Please help

Answers

Answer:

x=8 x=16

Step-by-step explanation:

Given function:

x+4=12x=16

Thinks:

12=4+xx would be equal to 16

Rewrite as:

x=8 since 8+4=12x=16=16

Thereform, x=8 and x=16.

Consider the non-right triangle below.

Suppose that m∠ABC=44∘, and that x=16 cm and y=13 cm. What is the area of this triangle?
 cm^2   

Answers

Answer:

72 cm²

Step-by-step explanation:

Given:

m<ABC = 44°

x = 16 cm

y = 13 cm

Required:

Area of the triangle

Solution:

Formula for finding area of a triangle using the Side-Angle-Side method is given as:

Area = ½*ab*sin C

where,

a = 16

b = 13

C = 44°

Plug in the values

Area = ½(16*13)*sin 44

Area = 72.2444705 ≈ 72 cm²

What is .06 x .2 please answer

Answers

Answer: .012

Step-by-step explanation: 6*2 is 12, and you can simply use the number of decimal points on the smaller term to get .012

Answer:

should be .12

Step-by-step explanation:

.06 multiplied by 2 is .12

60 Benjamin bought 6.2 pounds of rice. Each pound cost
$0.90. How much did he spend on rice?

Answers

Answer:

.9x 6.2= $5.58

.............

A tank contains 210 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.

Answers

Answer:

[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min

Step-by-step explanation:

The mass flow rate dA(t)/dt = mass flowing in - mass flowing out

Since water is pumped in at a rate of 3 L/min, and it contains no salt, the concentration in is thus 0 g/L. the mass flow in is thus 0 g/L × 3 L/min = 0 g/min.

Let A(t) be the mass present at any time, t. The concentration at any time ,t is thus A(t)/volume = A(t)/210. Since water flows out at a rate of 3 L/min, the mass flow out is thus, A(t)/210 g/L × 3 L/min = A(t)/70 g/min.

So, dA(t)/dt = mass flowing in - mass flowing out

dA(t)/dt = 0 g/min - A(t)/70 g/min

dA(t)/dt =  - A(t)/70 g/min

 Since the tank initially contains 30 g of salt, the initial mass of salt in the tank is 30 g. So A(0) = 30

So, the initial value problem is thus  

dA(t)/dt =  - A(t)/70 , A(0) = 30

Separating the variables, we have

dA(t)/A(t) = -dt/70

Integrating both sides, we have

∫dA(t)/A(t) = ∫-dt/70

㏑A(t) = -t/70 + C

taking exponents of both sides, we have

A(t) = exp(-t/70 + C)

A(t) = exp(-t/70)expC

[tex]A(t) = e^{-t/70}e^{C}\\A(t) = Ce^{-t/70} whereC = e^{C}[/tex]

A(0) = 30, So

[tex]A(0) = Ce^{-0/70}\\30 = Ce^{0}\\C = 30[/tex]

[tex]A(t) = 30e^{-t/70}[/tex]

The rate at which the number of grams of salt in the tank is changing at time t is

[tex]dA(t)/dt = \frac{d30e^{-t/70} }{dt} \\dA(t)/dt = -\frac{30e^{-t/70} }{70}\\dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex]

So, the rate at which the number of grams of salt in the tank is changing at time t is

[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min

i will give you brainliest whoever answers correct first !

Answers

Answer:

72.8

Step-by-step explanation:

16 is 8 times 2. 36.4 times 2 would be 72.8

The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
change? Round your answer to the nearest tenth.

Answers

2007 $7.50. 100%
2021. $13.00. X%
X=100•13/7.5
X=173.33 %
173.33-100%=73.33%
Rounded to nearest tenth 73.3%

help pls :)) much appreciated

Answers

Answer:

9,-7 hope this helps :))))))))

Hi please help I’m like rlly freaking confsuef

Answers

Answer:Ok Don't freak out What do you need help with

Step-by-step explanation:

According to Cavaleri's Principle, if a cone and a pyramid have the same height, then

Answers

Answer:

Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume.

help me with this plssss I dont understand ​

Answers

Answer:

y = 18

a = -2

Step-by-step explanation:

Hello There!

For the first one we need to create an equation to solve for y

23+7=y+12

30=y+12

isolate the variable using inverse operations

subtract 12 from each side

30-12=18

we're left with y = 18

for the second one we need to create an equation to solve for a

3+15+a=8+8+8

3+15=18

8+8+8=16

16=18+a

step 1 subtract each side by 18

16-18=-2

we're left with a = -2

i agree with the person above it seems very accurate

A = ?
when r = 10 in.
(A = area of a circle)
(r = radius)

Answers

A= pi r^2
A= 100pi
That said

PLEASE HELP CHECK MY ANSWER ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY! PLEASE EXPLAIN HOW I AM CORRECT!

Answers

Answer:

√13

Yes you are right

Step-by-step explanation:

The law of cos again

BC^2 = 18 + 25 - 2 * 3√2 * 5 cos(45 degrees)

= 13

==>

BC = √13

Answer:

yes the answer is correct

The golf scores of the players on two golf teams, Team A and Team B, are listed in order from lowest to highest below. Team A: 65, 67, 67, 68, 70, 70, 70, 71, 74, 77, 78, 78, 81, 81, 82 Team B: 63, 65, 67, 68, 70, 70, 71, 73, 74, 77, 77, 77, 78, 81, 84 Which of the following statements is a correct comparison of Team B to Team A? A. Team B has a larger median and a smaller interquartile range. B. Team B has a larger median and the same interquartile range. C. Team B has a smaller median and a larger interquartile range. D. Team B has a smaller median and the same interquartile range.

Answers

Answer:

B. Team B has a larger median and the same interquartile range.

The correct statement is,

D. Team B has a smaller median and the same interquartile range.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

Based on the given data, the correct comparison of Team B to Team A is A. Team B has a larger median and a smaller interquartile range.

This is because the median score for Team B is 70, which is higher than the median score for Team A, which is 70.

The interquartile range for Team B is smaller because the scores are more tightly clustered around the median, indicating less variability in scores compared to Team A.

Thus, The correct statement is,

D. Team B has a smaller median and the same interquartile range.

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(16y ⁵/ 4y³) ¹/2 simplify expression

Answers

2y

Step-by-step explanation:

16y^5-3/4)

16y²/4)

4y²)1/2

2y

J)
B
с
173"
87"
A
Find the measure of ZC.
-) :
A:
A)
10°
B)
14°
20°
D)
30°

Answers

Answer:

I think it's C im not certain

Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?​

Answers

1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg

He used 7/27 kg of sugar.

25 divided by the difference of 12 and 7

Answers

Answer:

5

Step-by-step explanation:

25 / ( 12-7)  = 25 / 5 = 5

I hope im right!!

e^x is greater than or equal to 25

Answers

greater than because i honestly don’t know

Please help me find the volume!​

Answers

Answer:

8.66

Step-by-step explanation:

If it helps, volume is LENGTH x WIDTH x HEIGHT, and for a triangular prism, each side is the same. :)

I will give you brainliest whoever answers correct first !!

Answers

Answer:

34.4

Step-by-step explanation:

(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4

Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x

Answers

Answer:

139

Step-by-step explanation:

x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3

= 9 + 125 + 5

= 139!

Find the length of the third side. If necessary, round to the nearest tenth??

Answers

Answer:

13

Step-by-step explanation:

5²+12²=c²

25+144=c²

169=c²

c=√169

c=13

hardest one yet..
complete all of these
i mean all of em

Answers

Answer:

1st one: 16

2nd one: 16

3rd one: 64

4th one: 27

5th one: 1000

Step-by-step explanation:

Have a great day

Can someone help me please I don’t know if I did it right.

Answers

Answer:

1st, third and last options are correct answers

Step-by-step explanation:

e + 3 + e + 3

2e + 6

2(e + 3)

Find the area of each figure. Round your answer to the nearest tenth.
8 km

Answers

Answer:

110.1

Step-by-step explanation:

i really need helpl lol pleasehelppppppppppppplplplppplplpl ?

Answers

Answer:

1,050

Step-by-step explanation:

3.5x

12x

25

=

1,050

soooo again in meters I'm soo sorryyy​

Answers

I think 710 is the answer

266+266+89+89= 710

Find three consecutive numbers whose sum shall equal 45.​

Answers

Answer:

the three consecutive numbers are 14, 15, 16

Answer:

Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help

Step-by-step explanation:

x + (x + 1) + (x + 2) = 45

x + x + 1 + x + 2 = 45

3x + 3 = 45

3x = 42

x = 14

Now that we know x = 14, let's add one to it.

x + 1 = 14 + 1 = 15.

Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!

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