What are the solutions of the quadratic equation 5x2 – 10x – 15 = 0?

Answer:

[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]

9514 1404 393

Answer:

Step-by-step explanation:

If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...

  x(x +2) = 63

__

The equation can be rewritten as ...

  (x +1)² = 64

  x = -1 ±√64 = -1 ±8

The positive solution is x=7, so the positive set of integers is {7, 9}.

The negative solution is x=-9, so the negative set of integers is {-9, -7}.

Answer:

und wey kennen diese Antwort oder Art und Weise nicht, wie Sie sie wahr übersetzt haben

Step-by-step explanation:

-10a×4b+20a^2b-2ab

-40ab+20a^2b-2ab

-42ab+20a^2b Answer

I'm not sure...

Answer:

x=22.5

Step-by-step explanation:

Make a ratio

The names of the triangle help with this.

AB is similar to FG, and AC is similar to FH (the missing side)

6/15 = 9/x

cross multiply

6x=135

divide both sides by 6

x=22.5

Answer:

X=22.5

Step-by-step explanation:

6/9=15/x

135=6x

22.5=X

Answer:

it would be D

So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.

If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost

Think about it as breaking even.  You aren't actually gaining anything if you are gaining back the exact same amount you lost.

Answer:

7 hours

Explanation:

Divide 5 and 335 then multiply by 469

because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles

5 / 339 × 469 =7 hours

Answer:

Area of the actual room = 288 m²

Step-by-step explanation:

Given:

Scale factor = 2cm to 4 m

Dimension of rectangle ball room = 6 cm and 12 cm

Find:

Area of the actual room

Computation:

Actual dimension of rectangle ball room;

⇒ [6/2]4 = 12 m

⇒ [12/2]4 = 24 m

Area of rectangle = Length x Width

⇒ Area of the actual room = Actual length x Actual width

⇒ Area of the actual room = 12 x 24

Area of the actual room = 288 m²

Answer:

width 5

length 7

Step-by-step explanation:

W * L = 35

L = 4 * W - 13

W * (4W-13) = 35

4 W^2 - 13 W - 35 = 0

delta = 169 + 4*4*35 = 729 = 27^2

W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)

L = 4 * 5 - 13 = 7

The length and width of the rectangle are 7 cm and 5 cm respectively.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².

We know that, the area of a rectangle = length × width

Let the width of the given rectangle be w,

According to question,

length = 4w - 13

Therefore,

(4w - 13) × w = 35

4w² - 13w = 35

4w² - 13w - 35 = 0

Factorizing, we get,

w = 5 and w = -7/4

Therefore, width = 5

Length = 20 - 13

Length = 7

Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.

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Answer:

518 cm squared

Step-by-step explanation:

Answer:

518 cm²

Step-by-step explanation:

First, we can split the shape into two parts.

The first part will be 8+22(which is the width)x13(29-16, which is the height). This gives us:

30x13=390 cm²

Now, for the next part, we have 8(width)x16(height), which gives us:

8x16=128 cm²

Finally, we add 128+390=518cm²

Answer:

0.25

Step-by-step explanation:

Lines AB and XY best describe the perpendicular segments. The correct option is A.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Lines AB and XY best describe the perpendicular segments. AS they are cutting each other at 90 degrees.

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Answer:

(3,1) ; (6,-2)

Step-by-step explanation:

We have to search the points that the line and the parabola have in common, that are the points where they intercept

(3,1) ; (6,-2)

Answer:

first one is (d) second one is (b)

Step-by-step explanation:

Answer:

217/31=7. He needs to run 7 miles per day.

Answer and step-by-step explanation:

If it is a rectangle, the formula is:

L * W

Fill in the values:

4*6.9

Then solve.

27.6

So, if it is a rectangle, the answer is (C), 27.6 Inches squared.

If it is a triangle, the the formula is:

(B*H)/2

Fill in the values:

4*6.9/2

Simplify:

27.6/2

Then solve.

13.8

So, if it is a triangle, the answer is (A), 13.8 Inches squared

Hope this helps!

9514 1404 393

Answer:

  B.  301.6 ft

Step-by-step explanation:

The circumference of the circle is given by the formula ...

  C = πd

For a diameter of 96 ft, the circumference of the circle is ...

  C = π(96 ft) ≈ 301.593 ft

The car would travel about 301.6 feet.

This question is incomplete, the complete question is;

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.

[ Two decimal places ]

Answer:

The probability that you be selected is  0.83

Step-by-step explanation:

 Given the data in the question;

total number of people in the panel = 12

number of people to be selected from the panel = 2

probability you wont be selected = ?

Number of ways of selecting 2 people from the 12 member panel is;

⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66

so total number of outcome = 66

Now, number of ways in favor of selecting you and another person from the 12 member panel is;

⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11

so favorable number of outcome = 11

∴ Probability of selecting you in the panel will be;

⇒ favorable number of outcome / total number of outcome

⇒ 11 / 66 = 1/6

Now, Probability of not selecting you in the panel will be;

⇒ 1 - Probability of selecting you in the panel

⇒ 1 - 1/6

⇒ 0.83

Therefore, The probability that you be selected is  0.83

Answer:

What are you trying to find out? Like what do you mean by which one is right?

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

5.5~

Answer:

8.48528137 I think

Answer:

B

Step-by-step explanation:

Have a nice day!

Answer:

Physical education

Step-by-step explanation:

The subject chosen as a favorite by exactly 20% of the students is maths.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

From the circle graph,

Maths = 20%

English = 25%

Hindi = 10%

Science = 45%

We see that,

The subject was chosen as a favorite by exactly 20% of the students in maths.

Thus,

The subject was chosen as a favorite by exactly 20% of the students in maths.

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Answer:

hello your question is incomplete  below is the complete question

answer : 18%

Step-by-step explanation:

x = percentage using illicit drugs

sample size = 5000

number of persons with a yes = 1200

also management knows that 30% uses carpool

∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )

1200 / 5000 =  (0.5  * 0.3 ) + ( 0.5 * x )

 0.24 = 0.15 + 0.5 x

hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 =  0.18 = 18%  

Answer:

Step-by-step explanation:

If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.

The best estimate is choice C) 125