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

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

Answer:

Mariah will save more than Jane.

Step-by-step explanation:

i think

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.

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.

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Answer:

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

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.

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!!!!

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]

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

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)

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Answer:

i got it

its an isosceles triangle bc two sides are equal.

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

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.

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:

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

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

9514 1404 393

Answer:

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

Answer:

3

Step-by-step explanation:

Answer:

the cube ROOT of 27 is 3.

Step-by-step explanation:

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

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.

Answer:

-682

Step-by-step explanation:

I worked it out and got -682

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.

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.

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.

Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

Answer:

slope equals 2

Step-by-step explanation:

graph points and calculate rise over run

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

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