Find an equation in standard form that has the following roots (-5,0) (6,0)

Answers

Answer 1

Answer:

x²-x-30=0

Step-by-step explanation:

so the roots are -5 and 6

we can find the exquation by knowing that

(x-root1)(x-root2)=the equation

(x+5)(x-6) distribute

x²-6x+5x-30 combine like terms

x²-x-30


Related Questions

What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...

Answers

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

the cube_____of 27 is 3.​

Answers

Answer:

3

Step-by-step explanation:

Answer:

the cube ROOT of 27 is 3.

Step-by-step explanation:

A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.

which of the following is true?

Answers

Answer:

In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.

Let's analyze each statement (from top to bottom)

1)The x-axis represents the number of hours, and the y-axis the charge.

Then let's find x = 2.

You can see that there is a colored dot at y = $3, and a white dot at y = $5.

Then the price for exactly two hours is $3, not $5.

Then this first statement is wrong.

2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,

This statement is wrong.

3) 1 hour and 15 minutes is in between 1 and 2 hours.

And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.

4) Here we have x > 4.

In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.

Then this statement is correct.

HELPPPPPPPPP!!!
What is z/
W
0-4 + 16i
O 6 + 10i
O 7+11i
O 8+2i

Answers

The value of z/w is, (8 + 2i)

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.

Given that;

The graph is shown in figure.

And, The point z = (6 + 10i)

The point w = (1 + i)

Now,

We can find the value of z/w is,

⇒ z/w = (6 + 10i) / (1 + i)

         = (6 + 10i) (1 - i) / (1 + i) (1 - i)

          = (6 - 6i + 10i - 10i²) / (1 - i²)

          = (6 + 4i + 10) / (1 + 1)

          = (4i + 16) / 2

          = (8 + 2i)

Learn more about the mathematical expression visit:

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Does -3 and -2 make a right triangle

Answers

Answer:

There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse

Answer: no



Explain: you can’t make a right triangle with negative numbers. Plz mark brainlest

Simplify: 5 -3 • 5 5

25 8
25 -15
5 -3
5 2

Answers

5 -3 * 5 5 simplified = 160!!!

A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?​

Answers

Answer:

72

Step-by-step explanation:

24 / 3 = 8

so

8*7 = 72

Answer:

72

Step-by-step explanation

24 / 3 = 8

so

8*7 = 72

EMILY COOKIE RECIPE CALLS FOR 3 CUPS OF FLOUR AND 1 CUP OF SUGAR WHAT IS THE RATIO OF FLOUR TO SUGAR​

Answers

GmLol I’m depressed

Write a polynomial function in factored form of least that the given zeros and a leading coefficient of 1.

1. -6, 3, 5
2. 2, -2, -6i

Write a polynomial function in standard form of least degree that have real coefficients, the given zeros, and a leading coefficient of 1.

3. -1, 1, 7
4. 3, -3, -2i

Answers

9514 1404 393

Answer:

p(x) = (x+6)(x-3)(x-5)p(x) = (x-2)(x+2)(x^2 +36)p(x) = x^3 -7x^2 -x +7p(x) = x^4 -5x^2 -36

Step-by-step explanation:

Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).

__

1. p(x) = (x -(-6))(x -3)(x -5)

  p(x) = (x+6)(x-3)(x-5)

__

2. p(x) = (x -2)(x -(-2))(x^2 +6^2)

  p(x) = (x -2)(x +2)(x^2 +36)

__

If you want standard form, you can start with factored form, then multiply it out.

3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)

  p(x) = x^3 -7x^2 -x +7

__

4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)

  p(x) = x^4 -5x^2 -36

A company that makes​ hair-care products had 6,000 people try a new shampoo. Of the 6,000 ​people, 48 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

I would say 2880 sorry if am wrong

Step-by-step explanation:

6000*48=288,000 then divide by 100 because percent means 100. 288,000/100= 2,880. hope this helps can I get brainlist and add effort before you come to look for anwer.

Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi from the bottom of the pole. Let x represent the height of the pole. Tell: how long is the rope and how high is the pole

Answers

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

[tex]AC^2= AB^2+BC^2[/tex]

[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]

[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]

[tex]\Rightarrow 6x=64-9=55[/tex]

[tex]\Rightarrow x=55/6=9.17[/tex] chi.

Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,

and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.

What are steps I need to take to find a? Please include working out ❤️❤️

Answers

142-38=104
Это и есть ответ

Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?

Answers

Answer:

19

Step-by-step explanation:

While it's really easy to just divide, I'm sure your teacher wants an equation so:

1615=85x                                                      here x= skittle boxes

1615/85=x            In this line you can use divide to cancel out the multiplication, giving you

x=19

                 

Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.

Answers

Answer:

27

Step-by-step explanation:

2 TIMES 3

The length of the side a and b is 2.0837 and 11.8176 respectively.

Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.

What is trigonometry?

Trigonometry is branch of mathematics that helps in elevation and angle problems.

Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 =  length of b /12
length of b = 12 cos10
length of b = 11.8176

Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837

Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.

Learn more about trigonometry here:
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Which equation represents the number of points in the problem below?
A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. 2m+ 5s = 60
B. m + s = 60
O C. 2m + 5s +15 = 60
O D. 2m + 5s = 15

Answers

Answer:

Step-by-step explanation:

Let the number of MC questions = x

Let the number of SA questions = y

x + y = 15

2x + 5y = 60

Multiply the top equation by 2

2x + 2y = 30

Put this underneath the second equation and subtract

2x + 5y = 60

2x + 2y = 30           Subtract

 3y = 30

   y = 10                  Subtract

2y = 20

y = 10

x + y = 15

x + 10 = 15

x = 5

classify the triangle based off of the measurements of its sides 30m, 30m

Answers

Answer:

i got it

its an isosceles triangle bc two sides are equal.

Suppose a stock drops in value by 60% one week, then increases in value the next week by 75%. Is the value higher or lower than where it started

Answers

Answer:

Lower

Step-by-step explanation:

Use the number 100 to see how the value changes:

First, calculate the 60% drop:

100(0.4)

= 40

Then, calculate the 75% increase:

40(1.75)

= 70

So, since 70 is smaller than 100, the value is lower than where it started.

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.


1. Construct a 99% confidence interval estimate of the difference μ1−μ2

μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.


(b) The margin of error is



2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?

Answers

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply

Answers

i hope this was able to help!!

answer: Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS. we need only one angle and side.

Answer:

its the first one and the last one ..that's the answer.

Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?

Answers

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

PLS answer fast!!!! I am literally in tears. Brainliest to the first person to answer it correctly

Answers

Answer:

-682

Step-by-step explanation:

I worked it out and got -682

Help please! I’ll give brainliest!

Answers

Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

both plants will reach the height of 3 inches at week 4 because that’s where the lines intersect.

Plz answer quick I need to get it bc it’s a quiz

Answers

Answer:

slope equals 2

Step-by-step explanation:

graph points and calculate rise over run

the answer is 2 the slope is 2.

Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h

Answers

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

WILL GIVE BRAINLIEST 20 POINTS!!! PLS HELP!!!?!?!?!?! DO NOT COPY AND PASTE FROM OTHER QUESTIONS OR I WILL REPORT U AND DELETE UR ANSWER!!!!
The functions f(x) and g(x) in the table below show Jane's and Mariah's savings respectively, in dollars, after x days. Some values are missing in the table.


x(years) 1 2 3
g(x) = 3x
Jane's savings in dollars 3 9
f(x) = 3x + 3
Mariah's savings in dollars 6 9


Which statement best describes Jane's and Mariah's savings in the long run?
Jane will save more than Mariah.
Mariah will save more than Jane.
The savings will increase by the same factor for both.
The savings will increase by the same percentage for both.

Answers

Answer:

Mariah will save more than Jane.

Step-by-step explanation:

i think

25 miles/hour =_meters/minute

Answers

670.56 meters. I hope it helps !
670.56 is correct!!!

Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||

Answers

Answer:

YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters

Step-by-step explanation:

i took the test and got 5/5....this answer was correct

Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=

Answers

Answer:

-7/20  

Step-by-step explanation:

Answer:

-1/140

Step-by-step explanation:

-1/8*7*2/5

-7/8*2/5

-7/20

can you help me with it please​

Answers

Answer:

[tex] \frac{20}{29}[/tex]

Step-by-step explanation:

Equation of unit circle is:

[tex] x^2 + y^2 = 1[/tex]

Plug [tex] y = \frac{-21}{29}[/tex] in above equation.

[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

[/tex]

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

[/tex]

What is the value of the expression when x = 4 and y = 3?
3x² + 5y
A.27
B.38
C.63
D.159

Answers

Answer:

63

Step-by-step explanation:

3x^2+5y

Where X=4,Y=3

So

=3×4×4+5×3

=48+15

=63

So 63 is the answer

Answer:

C.63

Step-by-step explanation:

3x4²+5x3

4² = 16

3x16+5x3

Then

3x16 = 48

5x3 =15

48+15 equals 63

The answer is 63

Have a Good Day!!!!

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