y=a(x-r)(x-s) what is a and r and s ?

Answers

Answer 1

Answer:  

The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation.  Negative a makes an upside-down parabola.  Big a (in absolute value) makes a skinny parabola, small a a wider one.

r and s are the zeros of the quadratic function, the values of x that give y=0.

Answer 2

Answer:

a , r, s , x all are variables


Related Questions

A.-4
B.4
C.1/4
D.-1/4
I need help I’m confuse

Answers

Answer:

The answer is 4/B

Step-by-step explanation:

Mark me brainiiest.

HEY PLEASE I NEED HELP IM OFFERING 30 POINTS

which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)

Answers

Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Answer:

(-4, 6)

Step-by-step explanation:

Please help!

A bus traveled 120 miles on a highway in 2 1/2 hours. If the bus traveled at a constant speed, what was the speed of the bus in miles per hour?

Answers

Answer:

48 miles per hour

Step-by-step explanation:

Take the miles and divide by the time to get miles per hour

120 miles / 2.5 hours

48 miles per hour

Answer:

the bus is going 48 mile per hour

Step-by-step explanation:

Find the value of x in each case. Give reasons to justify your solutions!

Answers

Answer:

Look at the attachment

Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3

Answers

Answer:

At least 11: x≥11  ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11  ; Between 3 and 11: 3≤x≤11  ; Inclusive no more than 3: x≤3

Step-by-step explanation:

At least 11:                          x≥11  

At least means that the number can't be lower than 11 (11 included)

At most 11:                               x≤11

At least means that the number can't be higher than 11 (11 included)

More than11:                                         x>11

More means that the number must be higher than 11 ( 11 not included)

Fewer than 11:                                    x<11

Fewer than means that the number must be lower than 11 ( 11 not included)

Strictly between 3 and 11 :            3 < x < 11  

"Strictly between" means excluding the endpoints

Between 3 and 11:                             3≤x≤11

Including endpoints.

Inclusive no more than 3:                   x≤3

Inclusive includes number 3 (less or equal)

Feel free to ask for more if needed or if you did not understand something.  

The numerical coefficient in "6m" is:

Answers

The numeral coefficient is the number ( the one that we know)- so its 6

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4

Answers

The answer to your question is 2/1

HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER

Answers

Answer: See below

Step-by-step explanation:

1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.

5²×3=25×3=75

A shows 75.

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

2. You need to first distribute each factor and then combine like terms.

-14a+10b+20a-32b+2

6a-22b+2

B

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

3. You need to first distribute each factor and then combine like terms.

-6n+30+18n-12

12n+18

D

Given a= -3, b= 4 and c= -5, evaluate ab + C.
-4
-17
07

Answers

Answer:

a= -3, b= 4 and c= -5

ab + c = (-3)4+(-5) = -12 -5 = -17

Answer:

answer is -17

Step-by-step explanation:

all you have to do for this question is to plug the values for a, b, and c in the question.

ab + c  would be

(-3)*4+(-5)

-12+(-5)

= -17

therefore the answer is -17

Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2

Answers

Answer:

[tex]4\frac{1}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]

[tex]\frac{27}{4} \div \frac{5}{3}[/tex]

[tex]\frac{27}{4} \times \frac{3}{5}[/tex]

[tex]\frac{27 \times 3}{4 \times 5}[/tex]

[tex]=\frac{81}{20}[/tex]

[tex]=4\frac{1}{20}[/tex]

Answer:

7 divided by 2

Step-by-step explanation:

Can someone help me with this please

Answers

Answer:

63.6

Step-by-step explanation:

[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]

I got it right it is 63.6

What is the solution to this equation?
2x + 3 = x − 4

Answers

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5

Answers

Answer:

The last option is correct. (f*g)(x) = x² - 5

Step-by-step explanation:

Since is f * g you have to multiply them together.

x² - 2 * x - 3 (x)

Next ust simplify.

x² -5x

Help asap plzz
-3x + 7 = -8

Answers

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4

Answers

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Answers

Answer:

The answer is 7 angles.  

Step-by-step explanation:

There 7 alternate exterior angles with angle 5.  

Correct me if I'm wrong!

Thank you!!!

The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.

What is an alternate exterior angles ?

The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.

Hence, the angle that is alternate exterior angles with angle 5 is as follows:

∠11

learn more on alternate exterior angles here: https://brainly.com/question/16244138

What is the equation of the graphed line?

a. y = 4x - 6
b. y = -4x + 6
c. y = 2/3x - 4
d. y = 3/2x - 4

Answers

Answer:

its c

Step-by-step explanation:

-4 is the y- intercept form and 2/3 is the slope

Answer:

C.

Step-by-step explanation:

Y intercept is -4 so a. and b. are out right away

the slope is up two over three so change in Y over change in X

I Need the answer and how to do the question, anyone can help?

Answers

Answer:

P(A and B) = 0.1344 = 13.44%

Step-by-step explanation:

If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.

It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21

P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%

Can anyone please help me with this?

Answers

Answer:

point - slope form: y+1 =2(x+2)

slop - intercept form:  y =2x +3

standard form : 2x -y = -3 or -2x+y = 3

Step-by-step explanation:

find slope from given points using slope formula y₂ -y₁ / x₂ -x₁

slope m =5-(-1)/1-(-2) =6/3 =2

point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so

y - (-1) = 2(x -(-2))

y+1 =2(x+2)

slop - intercept form is y =mx +b where m is a slope and b is y intercept

now if you rearrange y+1 =2(x+2) as y =......

y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3

standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be

2x -y = -3

graphing is done by using  slop - intercept form:  y =2x +3

pick 2 points and draw the line; use given points

In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?

(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2

Answers

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm

Find the lowest common denominator

Answers

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles

Answers

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/(x2-x1)

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

Which graph represents the function f(x) = ()–x

Answers

Answer:

Slope: -1

y-intercept: 0

The graph of the function y = - x is attached at the end of the answer.

What is a linear function? What is a mathematical function, equation and expression?linear function : A linear function is of the form -

        [y] = ax + b

        It has a degree of one and has only one root.

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the function as -

y = f(x) = - x

We have the following function -

y = - x

The function y = -x is a linear function. Refer to the graph of the function attached. The function has a slope of -1 .

Therefore, the graph of the function y = -x is attached with the answer.

To solve more questions on functions, expressions and polynomials, visit the link below -

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You spin the spinner below once. What is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

What is Probability?

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

How to find probability?

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

Learn more about probability here-

https://brainly.com/question/25870256

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The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?

Answers

Answer:

p-150

Step-by-step explanatio

p=precio

reducido=150

se redujo, quiere decir que es "-"

Entonces dice "que expresión presenta el precio reducido"

Entonces sería:

(precio) - (reducido)

p-150

Can someone please help me with this??

Answers

Answer: (x,y)=(-2/3,15)

Negative 2 over three

What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?

Answers

Answer:

Step-by-step explanation:

y + 1 = 1(x + 7)

y + 1 = x + 7

y = x + 6


[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]

Answers

Answer: 11b^2 + 3b - 1

Step-by-step explanation:

(5b^2 + 3b + 4) + (6b^2 - 5)

5b^2 + 3b + 4 + 6b^2 - 5

11b^2 + 3b -1

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3

Answers

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

Learn more about slope here:

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