find the solutions of the quadratic equation.-x^2+7x-14=0

Answer:

Step-by-step explanation

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Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            

Answer:

7 minutes.

Step-by-step explanation:

You can simply apply the well known rule if time: 60mins makes 1 hour,

or use proportion;

where x is the value you seek,

4=240

x=420

The relationship between 4 and 249 is 60 so,

420 divided by 60 equals 7 minutes.

Hope this is helpful,

if so please mark brainliest.

Answer:

If one or both numbers are prime, the LCM(Lowest Common Multiple) is the product of the numbers. e.g the LCM of 2 and 5 is 10; 2×5

We want to get the probability of selecting an orange, putting it back, then  selecting a block that is not orange.

We will see that the probability is P = 0.1799

In the bag we have:

For a total of 6 + 4 + 2 + 5 = 17 blocks.

First we want to find the probability of getting an orange block, as all the blocks have the same probability of being randomly drawn, the probability of randomly drawing an orange block is equal to the quotient between the number of orange blocks and the total number of blocks.

We get:

p = 4/17

Now we put the orange block back and we want to take a block that is not orange, the probability is computed in the same way:

q = (6 + 2 + 5)/17 = 13/17

The joint probability (this is, the probability of these two events happening together) is just the product of the individual probabilities.

We get:

P = p*q = (4/17)*(13/17) = 52/289 = 0.1799

If you want to learn more, you can read:

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Answer:

nuber 1 is sum 2 is quotient 3 is produckproduct

Step-by-step explanation:

number 1 is sum, 2 is quotient , 3 is product.

A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.

here, we have,

an expression with grouping symbols.

When an expression has more than one set of grouping symbols,

So, the answer is,

number 1 is sum, 2 is quotient , 3 is product.

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Part A

Answers:

x+y = 125

x = y+45

---------------

Explanation:

The first equation represents Angela playing both sports a combined 125 minutes. We simply add the variables x and y to represent adding the times for soccer (x) and golf (y).

Because she plays soccer 45 minutes more compared to golf, we also have the equation x = y+45.

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

Part B

Answer:  40 minutes

---------------

Explanation:

The second equation from part A says x = y+45

Because of this, we'll replace the 'x' in the first equation with y+45 and solve for y. I'm using the substitution rule.

So,

x+y = 125

y+45+y = 125 .... replace x with y+45

2y+45 = 125

2y = 125-45

2y = 80

y = 80/2

y = 40 minutes is the amount of time playing golf per day.

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

Part C

Answer: No it's not possible.

---------------

Explanation:

We found that y = 40 earlier. Let's used this to find x

x = y+45

x = 40+45

x = 85

Therefore, Angela spends 85 minutes playing soccer everyday. It's close to 80 minutes, but not quite there. So it's not possible that she spent 80 minutes playing soccer everyday.

Another way to show this is to say x+y = 80+40 = 120 which is five minutes short of the 125 minute goal.

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!

Answer:

47%

Step-by-step explanation: 375 × .125 = .046875

rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.

move the decimal three digits to the left and you get, 47%.

Step-by-step explanation:

m<1(exterior angle) = (sum of two opposite interior angle) 50+70 = 120°.

hope this helps you.

Answer:

120 degrees

Step-by-step explanation:

50 + 70 = 120

180 - 120 = 60

180 - 60 = 120 degrees

Answer:

There are no solutions.

Step-by-step explanation:

Put it in an equation

x + 5 = x − 13

Let's solve your equation step-by-step.

x + 5 = x − 13

Step 1: Subtract x from both sides.

x + 5 − x = x − 13 − x

5 = − 13

Step 2: Subtract 5 from both sides.

5 − 5 = − 13 − 5

0 = − 18

Answer:

There are no solutions.

Answer:

The mine inspector is at level -7

Answer: -13 + 3 + 3 = -7

Answer:

AC = 19

Step-by-step explanation:

A__C__S

AS = AC + CS

6x -4 = (4x-1) + 7

6x - 4 = 4x + 6

6x - 4x = 6+ 4

2x = 10

x = 10/2

x = 5

AC = 4x -1 = 4(5) - 1 = 20 - 1 = 19

I hope I helped you^_^

Answer:

19

Step-by-step explanation:

AS = AC + CS

6x - 4 = 4x -1  +7

6x - 4 = 4x + 6

Add 4 to both sides,

6x = 4x + 6 + 4

6x = 4x + 10

Subtract 4x from both sides

6x- 4x = 10

2x = 10

Divide both sides by 2

x = 10/2

x = 5

AC= 4x - 1

    = 4*5 - 1

     = 20 - 1

     = 19

Answer:

Step-by-step explanation:

5 * 3 = 15

8 * 9 = 72

Add

Answer = 87 cm^2

Answer:

infinite (many)

Step-by-step explanation:

3(2k-5)=6(k-4)+9

6k-15=6k-15

since they are the same on both sides of the equal side any solution for x would work.

The equation 3(2k - 5) = 6(k - 4) + 9 has many solutions.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3(2k - 5) = 6(k - 4) + 9

6k - 15 = 6k - 24 + 9

6k - 15 = 6k - 15

Both sides of the equation are the same.

This means,

The equation has many solutions.

Thus,

The expression has many solutions.

Learn more about solutions of equations here:

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Answer: is not a full square

Step-by-step explanation:

Just look at the degree ; if it were a multiple of two , then the number would be a full square ; but as we see , 9 is not a multiple of two  , from which it is not a full square

Answer:

10 meters

Step-by-step explanation:

highest value on y-axis

Answer:

Step-by-step explanation:

f(x - 3) is the horizontal shift 3 units right.

The B graph is displaying this translation, the graph A is also a horizontal shift of f(x) = x, but the shift is 3 units left.

The graphs C and D are vertical transformations and therefore incorrect.

Answer:

Its Option D

Step-by-step explanation:

I gotta D for the right answer.

Answer:

x° = 50° 2x°= 100°

Step-by-step explanation:

sum of all angle of triangle = 180°  therefore

x° + 2x° + 30° =180°  

 3x° = 180° - 30°

3x = 150°

x = 50°

2x = 100

Answer:

Subtract 36 and 16

Step-by-step explanation:

16 + b^2 = 36

Subtract 16 from each side

16+b^2 -16 = 36-16

b^2 = 20

Take the square root of each side

sqrt(b^2) = sqrt(20)

b = sqrt(20)

Answer:

Justin worked 25 hours and 45 minutes.

25 3/4 hours total

First add the hours together.  

12 + 13 = 25

Then add the minutes together.  

4 + 41 = 45

So 25 hours and 45 minutes

or

25 3/4 hours

45 minutes is also 3/4 of an hour

Standard Form: Ax + By = C

---A cannot be negative, nor can it be a decimal or fraction

y - 6 = -1/2(x - 5)

Distribute the -1/2

y - 6 = -1/2x + 5/2

Add -1/2x to both sides

1/2x + y - 6 = 5/2

Add 6 to both sides

1/2x + y = 17/2

Multiply everything by 2 to get rid of the fractions

x + 2y = 17

Hope this helps!! :)

Answer:

1. 10

2. 4, and the bottom row is 21

3. divide the bottom by 4. you get 8

4. top row is 15 and bottom row is missing 6

Answer:

y = 50, x = 74

Step-by-step explanation:

the total degrees must equal 180. In the left triangle, we are given 80 as in of them. 180-80=100 degrees left in the triangle there are two equal angles left, so we divide 100/2 and get 50, so y=50. In the triangle on the right, there are two equal angles of 53 degrees. So 53x2=106. 180-106= 74 degrees left. x is the only angle left, so x=72

Answer:

speed = distance÷time 48.7÷1.2 = 40.58

Answer:

1 that weighs 2pounds and 3 pounds,

Step-by-step explanation:

16 ounces in a pound

16x2 and 16x3

32

48