Use the x-intercept method to find all real solutions of the equation.
x^3- 7x2 + 7x + 15 = 0

a. X = -1, 3, or -5
b. x= 1, -3, or -5
c. X = -1, 3, or 5
d. X = 1, -3, or 5

Answers

Answer 1
I believe it is C. X=-1,3,5

Related Questions

I need these so i don't fail.
1.Given the points (−2,5)and (6,−1)the midpoint is? 2.Given the points (9,−4)and (−5,2)the midpoint is ? 3.Given the points (−2,−5)and (−6,7)the midpoint is?

I need the midpoints.

Answers

Answer:

1) (2,2)

2) (2,-1)

3) (-4,1)

Step-by-step explanation:

Solve for x.
8x - 4 = 2x - 3

Answers

8x-4=2x-3  

One solution was found :

                  x = 1/6 = 0.167

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x-4-(2*x-3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    6x-1 = 0  

Add  1  to both sides of the equation :  

                     6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution was found :

                  x = 1/6 = 0.167

i am not solving for x i am solving for you lol!!!

what are the steps I need to do to get the answer?

Answers

Answer:

B. 10.9

Step-by-step explanation:

Area of triangle= 1/2*24*h

∠N=90° ⇒ Area of triangle= 1/2*MN*ON

MN²= h²+(24-7)²

ON²= h²+7²

24h=MN*ON24h= √h²+(24-7)²*√h²+7²(24h)²=(h²+17²)(h²+7²)h²=k576k=k²+289k+49k+289*49k²-238k+14161=0k=119h²=119h=√119= 10.9

umm what are the answers for :
21% of 36570
12.2% of 640
87.5% of 860
37.5% of 3200
awwwww pls help meh!!! i need to know asap...please..try help!!...thank u sooo much!!
lu yall..pls help!!!

Answers

Step-by-step explanation:

21% of 36570

21/100 x 36570 = 7679.7

12.2% of 640

12.2/100 x 640 = 78.08

87.5% of 860

87.5/100 x 860 = 752.5

37.5% of 3200

37.5/100 x 3200 = 1200

Find the equation of this line

Answers

the Answer is:

3/4x + 1/4

Answer:

y=3/4 x + 1/4

Step-by-step explanation:

y=mx+b

(5,4) first point

(-3,-2) second one

m=y2-y1/x2-x1 =-2-4/-3-5=-6/-8=-3/-4=3/4

find b when x=5 and y= 4

y=mx+b

4=3/4 (5) +b

4-15/4 =b

4 b=16-15

b=1/4

Combine the like terms to create am equivalent expression y-(-3y)

Answers

Answer:

[tex]=4y[/tex]

Step-by-step explanation:

[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]

Answer:

[tex] = 4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y)[/tex]

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

so,

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

(6x^2+5x-3)+(x^2-9) find the sum please

Answers

Answer:

7x^2+5x-12

Step-by-step explanation:

(6x^2+5x-3)+(x^2-9)

Combine like terms

(6x^2+ x^2+5x-3-9)

7x^2+5x-12

2x-4=2
what is x=
plz help

Answers

X=3

2x-4=2
Add 4 to both sides
2x=6
Divide both sides by 2
X=3

Answer:

3

Step-by-step explanation:

2x=2+4

2x=6

x=3

#RAVEN

Find the area of the shape shown below.
24
25
8
units?
HELP

Answers

Answer:

hope this is correct

Answer:

108

Step-by-step explanation:

Draw the line with equation x+y=2

Answers

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

Graph the inequality
-9 < y + 5x < 14

Answers

Answer:

Step-by-step explanation:

I don’t understand how to find the median of the triangle.

Answers

Answer:

9

Step-by-step explanation:

You can assume the two triangles have the same side ratio since their angles are equal. So 16/18 = y-1/y

Simplify to get...

16y = 18(y-1)

16y = 18y - 18

-2y = 18

y = 9

Simplify 16-3(8-3)2÷5

Answers

Answer:

10/1 = 10

Step-by-step explanation:

1) Subtract: 8 - 3 = 5

2) Multiple: 3 * the result of step No. 1 = 3 * 5 = 15

3) Multiple: the result of step No. 2 * 2 = 15 * 2 = 30

4) Divide: the result of step No. 3 : 5 = 30 : 5 = 6

5) Subtract: 16 - the result of step No. 4 = 16 - 6 = 10

There are 5,426 people seated at tables. Each table seats 8 people.
How many tables are full?
How many people are sitting at a table that is not full?
How many tables are needed for all 5,426 people?​

Answers

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

Number of full tables= 5426/8= 678.25 so full part is 678

How many people are sitting at a table that is not full?

0.25 table= 8*0.25= 2 people are sitting at a table that is not full

or

5426 - 678*8= 2 people

How many tables are needed for all 5,426 people?​

678+1= 679 tables

There were 49 questions in the exam and Peter answered 45 questions correctly. Find the percent of error.


A. 8.16%
B. 8.2%
C. 8.5%
D. 8.8%

Answers

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

is x^2 + y^2 = 5 a function

Answers

Answer:

No it is not a function.

Step-by-step explanation:

Answer:

No. This is NOT a function.

Step-by-step explanation:

how are trapizods and recangles the same

Answers

Answer:

Yes, but no

Step-by-step explanation:

So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.

Hope this helps you

Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).

Answers

Answer:

[tex]y = \frac{4}{3} x[/tex]

Step-by-step explanation:

Perpendicular = m1*m2 = -1

[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]

[tex]y = \frac{4}{3} x +b[/tex]

[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]

The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).

What is the slope of perpendicular lines?

Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.

From the given equation of a line slope m1=-3/4

The slope perpendicular to equation of line m2 = -1/m1 = 4/3

Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.

That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]

⇒ c=0

Put c=0 and m=4/3 in y=mx+c, we get

[tex]y=\frac{4}{3}x[/tex]

Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

To learn more about the slope intercept form visit:

https://brainly.com/question/24683642.

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What is the value of 3-(-2)

Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

a rectangular inflatable swimming pool is 2 [tex]\frac{4}{5}[/tex] yards long, 2 yards wide, and [tex]\frac{3}{5}[/tex] yard tall. What is the volume of the pool? Round to the nearest tenth

Answers

Answer:

3.4 yd^3

Step-by-step explanation:

The volume is

V = l*w*h

V = 2 4/5 * 2 * 3/5

Changing the mixed number to an improper fraction

2 4/5 = ( 5*2+4)/5 = 14/5

V =  14/5 * 2 * 3/5

  = 84/25

Changing back to a mixed number

3*25 = 75 with 9 left over

3 9/25

3.36 yd^3

To the nearest tenth

3.4 yd^3

Answer: 3.4 yards cubed, after rounding.

Step-by-step explanation:

To find the volume of a rectangular prism, use the following formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height

Substitute the values given to you into the formula:

[tex]V = 2 * \frac{3}{5} * 2\frac{4}{5}[/tex]

Simplify the mixed number by multiplying both the numerator and denominator of 2/1 by 5 to get 10/5 and add it to the fraction to get 14/5.

[tex]V = \frac{2}{1} * \frac{3}{5} * \frac{14}{5}[/tex]

Now, multiply the numerators and denominators of the fractions and simplify:

[tex]V = \frac{2 * 3 * 14}{5 * 5}\\\\V = \frac{84}{25}\\\\\\V = 3.36[/tex]

The volume is 3.36 yards cubed. Round to the nearest tenth to get 3.4 yards cubed.

(1). An Aeroplane leaves an airport, flies due North for 2 hrs at 500km/h. It then flies on a bearing of 053 degree at 300km/h for 90 mins. How far is the plane from the airport correct to 1 dp *(2). Find the bearing of the plane from the Airport correct to 1 dp. *(3). If it takes the Aeroplane 150 mins to fly back to the airport. Find the average speed of the aeroplane for the whole flight correct to 1dp. *

Answers

Answer:

1. 1320.7 km

2. 015.8 degrees.

3. 461.8 km/h.

Step-by-step explanation:

(1) the distance from the airport is approximately 1096.5 km.

(2) the bearing of the plane from the airport is approximately 24.4 degrees.

(3) the average speed of the airplane for the whole flight is approximately 580 km/h.

(1) To find the distance the plane is from the airport, we can break down the two legs of the journey into their respective distances and use the Pythagorean theorem.

For the first leg of the journey, the plane flies due North for 2 hours at a speed of 500 km/h. Therefore, the distance covered is:

Distance = Speed * Time = 500 km/h * 2 h = 1000 km

For the second leg of the journey, the plane flies at a bearing of 053 degrees at a speed of 300 km/h for 90 minutes (1.5 hours). We can calculate the distance covered using the formula:

Distance = Speed * Time = 300 km/h * 1.5 h = 450 km

Using the Pythagorean theorem, the distance from the airport is the hypotenuse of a right triangle with sides of 1000 km and 450 km:

Distance from the airport = √(1000² + 450²) ≈ 1096.5 km (rounded to 1 decimal place)

Therefore, the distance from the airport is approximately 1096.5 km.

(2) To find the bearing of the plane from the airport, we need to determine the angle between the plane's position and the north direction. We can use the inverse tangent function (arctan) to find this angle.

The angle can be calculated as:

Angle = arctan(opposite/adjacent) = arctan(450/1000) ≈ 24.4 degrees (rounded to 1 decimal place)

Therefore, the bearing of the plane from the airport is approximately 24.4 degrees.

(3) To find the average speed of the airplane for the whole flight, we can calculate the total distance traveled divided by the total time taken.

The total distance traveled is the sum of the distances from the first and second legs of the journey:

Total Distance = 1000 km + 450 km = 1450 km

The total time taken is the sum of the time taken for each leg:

Total Time = 2 hours + 1.5 hours + 2.5 hours (150 minutes is equal to 2.5 hours)

Average Speed = Total Distance / Total Time = 1450 km / 2.5 h ≈ 580 km/h (rounded to 1 decimal place)

Therefore, the average speed of the airplane for the whole flight is approximately 580 km/h.

Learn more about average speed here

https://brainly.com/question/16898305

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use factoring to solve
x^2-2x-35=0

Answers

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

Answer:

The solution set of the quadratic equation is

x = {7, -5}

Step-by-step explanation:

Given the quadratic equation

[tex]$ x^2 - 2x -35 = 0 $[/tex]

We need to factor this equation

So you need two numbers such that

a + b = -2

and

a×b = -35

How about -7 and 5?

-7 + 5 = -2

-2 = -2

and

-7×5 = -35

-35 = -35

(x - 7)(x + 5) = 0

(x - 7) = 0

x = 7

and

(x + 5) = 0

x = -5

Therefore, the solution set of the quadratic equation is

x = {7, -5}

Verification:

Plug 7 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]

Plug -5 into the quadratic equation

[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]

If angle ABC measures 40 degrees, what does angle ADC measure

Answers

Answer:

what shape is ABCD?

Answer:

Step-by-step explanation: 60%

Write a sequence with at least 5 terms that forms a pattern. Identify the rule.









please its due in an hour!!!!!!!!!!!!!

Answers

The pattern is attached in the image provided with the work.

I have started off listing 4 terms and then 3 blanks

so we can study the pattern and find the next few terms.

Here, notice that the difference between -5 and 1/2 and -5 is +1/2.

The difference between -5 and -4 and 1/2 is +1/2

and the difference between -4 and 1/2 and -4 is +1/2.

Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.

-3 and 1/2 + 1/2 will be equal -3

and -3 + 1/2 will be equal to -2 and 1/5.

X2=

a. 48
b. 16
c. 12

Answers

Answer:

16

Step-by-step explanation:

x^2 = whole * part

x^2 = (6+2) * 2

x^2 = 8*2

x^2 = 16

Answer:

16

Step-by-step explanation:

Hope this helps.

If you find answers that say 48 for this same problem, they are incorrect.  Please disregard them.

Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

How do you solve the inequality 2x-3<-52x−3<−5

Answers

Answer:

Idk it really hard to do

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Use a calculator or online resource to find the line of best fit. Note that values have been rounded. y = 0.7 x - 5.2 y = 0.7 x + 5.2 y = 0.07 x + 5.2 y = 0.07 x - 5.2

Answers

Answer: ŷ = 0.07X + 5.2

Step-by-step explanation:

Given the following :

Number of citations 5 - 7.5 - 10 - 15 - 20

Outputs Residuals 3 - - 6 - - 10 - 5 - - 6

Using the online regression calculator :

Line of best fit is represented by the equation:

ŷ = 0.06897X + 5.2069

ŷ = 0.07X + 5.2

From the line equation:

y = mx + c

With 0.07 = slope of gradient(m)

Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis

x and y are values of x and y respectively

What is the perimeter of the triangle?

Answers

Answer:

To find the perimeter of the triangle, you need to add up the three sides of the triangle

     /\

1 /__\ 5

     9

1+5+9

_________________________________

Hey!!

The formula to find perimeter of triangle is a+b+c

For example:

If a triangle has the sides of 5,4 and 3 respectively,then to find the perimeter of triangle,we have to use the formula a+b+c which equals to 12.

Hope it helps

Good luck on your assignment

___________________________________

How do you make x the subject for (A) please?

Answers

Answer:

x = y / (4x+11)

Step-by-step explanation:

y = 4x^2 + 11x

4x^2 + 11x - y = 0

4x^2 + 11x = y

x(4x + 11) = y

x = y / (4x+11)

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