Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.

Question 6 options:


A)


x = –3, x = –5∕2


B)


x = –3, x = 5∕2


C)


x = 5∕2, x = 3


D)


x = – 5∕2, x = 3


which one is right. keep it simple

Answers

Answer 1

Answer:

B) x = 3 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 - x = 15

Subtract 15 from both sides:

2 x^2 - x - 15 = 0

x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:

x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4

sqrt(121) = sqrt(11^2) = 11:

x = (1 + 11)/4 or x = (1 - 11)/4

(1 + 11)/4 = 12/4 = 3:

x = 3 or x = (1 - 11)/4

(1 - 11)/4 = -10/4 = -5/2:

Answer:  x = 3 or x = -5/2


Related Questions

This is a Function?


O True
O False

Answers

Answer:

true

Step-by-step explanation:

Ryan earned badges at Camp Evergreen for completing different activities. He earned 7 outdoor activity badges for every 3 indoor activity badges.
If Ryan earned 6 indoor activity badges, how many badges did he earn in all?

Answers

Answer:

20 badges

Step-by-step explanation:

3×2=6 (indoor activities)

7×2=14 (outdoor activities)

6+14=20

Let a and b stand for two different rational numbers. If |a|>|b|, then what else must be true?

its for imagine math

Answers

Answer:

dont now

Step-by-step explanation:

HELPPPPPPPPPPP Asapp

Answers

Answer:

B. Kilograms

Step-by-step explanation:

Kilograms is what is measured for sugar. B

2. Find two equivalent ratios of the following ratios: a) 27 : 9 b) 7 : 35

Answers

Answer:

see explanation

Step-by-step explanation:

Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.

27 : 9 ( divide both parts by 9 )

= 3 : 1

(b)

7 : 35 ( divide both parts by 7 )

= 1 : 5

Lester has 2 toy cars. Ivan has t times as many toy cars as Lester. Write an expression that shows how many toy cars Ivan has

Answers

Answer:

I=2t

Step-by-step explanation:

ivan has 2 times t

Help me plz
A)12.7
B)13.3
C)12.4

Answers

Answer:

A.

Step-by-step explanation:

Help! Help! HELP!!
Find the value for x

Answers

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

HELP PLEASE!!!A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.

Answers

B) Juan Victor gave a 25% gratuity of $12 on a bill that was $48.

hope this is helpful!

Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help

Answers

Answer:

equation of g(x) is 3-x

f(x)= -x+6 g(x)=f(x+3)

then,,

f(x+3)=-(x+3)+6 =-x-3+6 = 3-x

ie.. g(x)=3-x

please help anybody hm​

Answers

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

The reason that it’s one and not zero is because your multiplying the number by itself 0 times and that means you’re not multiplying by anything at all.

12 A train in France can travel at a speed
of 217.4 miles per hour. A train in
China can travel 1.23 times this speed.
How fast can the train in China travel
in miles per hour?


I WILL MARK YOU AS BRAINIEST IF YOU ANSWER THIS QUESTION WITH AN ANSWER AND EXPLANATION + 100 points

Answers

Answer: 267.402

Step-by-step explanation:

The answer is 267.402 because 217.4 times 1.23 = 267.402.

Answer:

267 mph

Step-by-step explanation:

Multiplication

i hope this helps have a great day :)

Which numbers make a true statement when placed in the box?

8.274< |__|


Select EACH correct answer.


1) 8.199

2) 8.201

3) 8.396

4) 8.295


*Disclaimer*

Show work!

Answers

Answer:

3 & 4

Step-by-step explanation:

Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295

I NEED HELP PLEASE!!!!

Perform integer operations
1 2/3(1 + 1/4) ÷ 1/4

Answers

Answer:

8.33 is keeps repeating

Step-by-step explanation:

can you guys help me?​

Answers

Answer:

Step-by-step explanation:

1. y = 2x

       y = 2*4 = 8  Checks, therefore

y = 20  for x = 10

2. y = 3x

       y = 3*(0.3) = 0.9  Checks, therefore:

y =  3*(1.5) = 4.5  

       y = 3*

3. y = 5/x

       y = 5/(1/2) = 10  Checks, therefore:

       3 = 5/x

x = 5/3

4 v = wu

7*3 = 21  Checks, therefore:

v =  (3/4)*(6) = (18/4) = (9/2)

v = (2/3)wu

v = (2/3)*7*3 = 14 Checks

5 m = Kn/p  [Add the K as a constant that will make m = Knp true at some value of K]

9 = K*2/(1/3)

27 = (K*2)

27 = 2K

K = (3/2)

       m = (3/2) (n/p)

       m = (3/2)*((1/2)/(1/3))

        m = (3/2)*(3/2)

        m = 1

   

Find 3 other points for this equation for both x and y ( bots don’t answer pls )

Answers

Answers:

Row one:  x = -10 and y = -4Row two:  x = 0 and y = 6Row three: x = 2 and y = 8

There are infinitely many other possible answers.

===================================================

Explanation:

The [tex]\frac{3}{3}[/tex] simplifies to 1. Dividing any nonzero number over itself always leads to 1.

So the equation [tex]y = \frac{3}{3}x+6[/tex] simplifies to [tex]y = x+6[/tex]

To determine y, we add 6 to x.

Pick 3 random values you want for x.

Let's say we picked x = 0

y = x+6

y = 0+6

y = 6

So x = 0 leads to y = 6

-----------

If you tried something like x = 2, then,

y = x+6

y = 2+6

y = 8

So (2,8) is another point on the line

-----------

Lastly, let's try a negative number. Let's go for x = -10

y = x+6

y = -10+6

y = -4

The input x = -10 gives the output y = -4

There isn't any restriction on x, so you can use any number you want. Therefore, there are infinitely many possible answers.

Felipe swam 29 kilometers to an island. Then he swam 19 kilometers to a boat. How far did he swim in all?

Answers

48 kilometers

29 + 19 = 48

hope this is helpful!

29+19=48 in all! (Add how much he swam each way)

Can you help? Please show work. Thank You.

Answers

Answer:

  C.  x+y=5; -2x+y=2

Step-by-step explanation:

The slope of the line in Table A is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-6 -(-4))/(11 -9) = -2/2 = -1

The slope of the line in Table B is ...

  m = (-8 -20)/(-5 -9) = -28/-14 = 2

We observe that the slopes have different signs. This means the signs of the terms in the standard form equation will be different from one equation to the other. The only pair of equations for which that is true is the pair in choice C.

Trying these equations on the first line of the tables, we see they match the table values.

  Table A: 9 +(-4) = 5 . . . true

  Table B: -2(9) +20 = 2 . . . true

_____

Additional comment

Neither equation in choice A has the correct slope for either table. The equations in choice B are inconsistent, both having slope -1, but different y-intercepts.

Ms. Lee takes out a loan to start a business. She borrows $5,000 at a simple annual interest rate of 6.5% for 5 years. What is the total amount of interest Ms. Lee must pay?

Answers

Answer:

6625

Step-by-step explanation:

We know that:  P = 5000

                          R = 6.5%

                          T = 5

Formulate and substitute: I = 5000rt

Calculate the product or quotient: 5000 x (1 + 0.325)

Calculate the sum or difference: 5000 x 1.325

Calculate the product or quotient: 6625

The military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 64 cadets and B company has 80 cadets, what is the greatest number of cadets who can be in each row?

Answers

Answer:

72

Step-by-step explanation:

If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets

Answer:

the answer is 16 please make me brainliest :> thx uuu

compare:
1. 4 3/8 (__) 4 7/10
2. 3/10 (__) 25/100
3. 5/8 (__) 3/5
4. 8/12 (__) 6/9
Help me please, and thx for the help

Answers

1. > 7/10 = 70% and is more than 3/8.
2.> 3/10 is equal to 30% which is more than 25%
3. > 5/8 is equal to 25/40 and 3/5 is equal to 24/40
4. = 8/12 is equal to 72/108 and 6/7 is equal to 72/ 108 too

1) 4 3/8 < 4 7/10

2) 3/10 > 25/100

3) 5/8 > 3/5

4) 8/12 = 6/9

hope this is helpful!

The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.

Answers

The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.

By factor the polynomial we get the following roots:

[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]

[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]

Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.


$28.53


$26.60


$27.83


$25.23

Answers

The fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The given parameters:

Number of passenger = 1Total distance = 9.5 milesCost of first 0.2 mile = $0.75Cost of additional mile = $0.55Cost of a passenger = $1.50

The fare without tip for the Metro Taxi is calculated as follows;

for the first 0.2 mile = $0.75the remaining distance = 9.5 - 0.2 = 9.3 miles

[tex]cost \ of \ distance = \$ 0.75 \ \ + \ \ \frac{\$ 0.55}{0.2 \ mile} \times 9.3 \ miles\\\\cost \ of \ distance = \$ 26.325[/tex]

Cost of 1 passenger = $1.50

The total cost is calculated as follows;

total cost = $1.50 + $26.325

total cost = $27.83

Thus, the fare without tip for the Metro Taxi is of 1 passenger and 9.5 miles is $27.83.

The complete question is below:

Compute the fare without tip: 1 passenger, 9.5 miles. Round to nearest fifth of a mile when dividing.

Metro Taxi: first 1/5 mi= $0.75, each additional 1/5 mi= $0.55, each additional passenger= $1.50.

Learn more about cost per miles here: https://brainly.com/question/2513267

Hi. Can someone pls help

Answers

(2,10) this is because 7 x 2 is 14, minus 4 that’s 10

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]

Hope this helps.

esterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?

Answers

Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.

Answer:

6 sixth graders at school where late

Step-by-step explanation:

5% = 0.05

0.05(120) = 6

identify the transformation performed on the figure below

Answers

A) Translation

hope this helps!

Answer:

translation

Step-by-step explanation:

this is a translation because every point of the shape remain in the same position as it is moved.

60.98 x 62xv Whats v

Answers

V=13 because you minus 60.98 by 62

Tria had one each of five different-shaped number solids having 4, 6, 8, 12, and 20 sides. She rolled two at a time and found probabilities for the sum of the numbers that came up. She recorded the probabilities in the first column of the table. When it came time to fill in the second column, she had forgotten which number solids she had used. Figure out which number solids she must have used and explain your thinking. The first one has been done.
She found out that the probability of 4 is lesser than 5, which combinations did she use?

Answers

Answer:The probability of a 3 is 2/80 or 1/40

The probability of a 4 is less than the probability of a 5

Step-by-step explanation:

need help asap plz help me

Answers

Answer:

idek not gonna lie

Step-by-step explanation:

Answer:

The first one is A) 4 The second on is D) 65

Step-by-step explanation:

You divide the first number by the second number eg. 12 divided by 3=4. so 4.

You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?
(u + 2)2 + 5(u + 2) – 6 = 0 where u = (x – 2)
u2 + 4 + 5u – 6 = 0 where u = (x – 2)
u2 + 5u – 6 = 0 where u = (x + 2)
u2 + u – 6 = 0 where u = (x + 2)

Answers

Answer:

we have

(x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Let

u=(x+2)u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0

therefore

the answer is

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

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