The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.

Find the equation of the parabola

The Parabola In The Figure Below Has An Equation Of The Form Y = Ax^2 + Bx - 4. Find The Equation Of

Answers

Answer 1

Answer:

y = - x² + 5x - 4

Step-by-step explanation:

Given that the zeros are x = 1 and x = 4 , then the corresponding factors are

(x - 1) and (x - 4) , then

y = a(x - 1)(x - 4) ← a is a multiplier

   = a(x² - 5x + 4)

To find a substitute the coordinates of any other point on the parabola into the equation.

Using (2, 2), then

2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )

a = - 1

Thus

y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )


Related Questions

1. Albert bought a bicycle for $27 500. He sold it for $35 500.
a) What was the amount of his profit?
b) What was his percentage profit?​

Answers

35,500-27,500= 8000 meaning $8,000 is the profit and the percentage is %35

For the equation y=12x-4

Answers

Answer:

12 is the slope and -4 is the y-intercept

Answer:

12 is the slope and -4 is the y-intercept

Step-by-step explanation:

What is an equivalent expression for (x + 7)(x + 1).

Answers

Answer:

x2−8x 7

Step-by-step explanation:

.
.
.
.
.
.
.
answer is 2x+8

Multiply: 68.1 x 0.8 ___________________ explain it plz

Answers

Answer:

54.48

Step-by-step explanation:

Answer:

54.48

Step-by-step explanation:

 68.1

x  0.8

54.48

I NEED HLPE BAJSBFJFHF

Answers

Answer:

a. 16

Step-by-step explanation:

Consider these 3 values.

[tex] \sqrt{16} \\ \sqrt{27} \\ \sqrt{35} [/tex]

Factor 16,27 and 35.

[tex] \sqrt{4 \times 4} \\ \sqrt{3 \times 3 \times 3} \\ \sqrt{3 \times 3 \times 5} [/tex]

Pull out two same numbers out of the root.

[tex]4 \\ 3 \sqrt{3} \\ 3 \sqrt{5} [/tex]

Rational only when there are no square roots after simplify/evaluating.

Thus a. 16 is only rational here.

I believe it would 16 because it’s the only number that has a whole number as it’s square root(4) the other numbers have decimals

Algebra 1 Q. Checkpoint: Function concepts HWA The organizers of the Clark County Fair keep track of daily revenue from ticket sales. The function f(x) gives the revenue from ticket sales on day x of the fair. The revenue is measured thousands of dollars. What does f(4) > f(1) tell you? The revenue from ticket sales on day 4 was greater than $1,000. The fair had greater revenue from ticket sales on day 4 than on day 1. On day 1, the revenue from ticket sales was less than $4,000. $4,000 in ticket revenue is greater than $1,000 in ticket revenue. Submit.​

Answers

1000*1.40=482892 algebra 6x+73=8228

Answer:

The fair had greater revenue from ticket sales on day 4 than on day 1.

Step-by-step explanation:

What is the postulate?

Answers

suggest or assume the existence, fact, or truth of something as a basis for reasoning, discussion, or belief.

What is the volume of the figure?

Answers

Answer:

106

Explain how you found your answer:

What is the equation of the vertical line that goes through the point (3,-2)?

Answers

The vertical line can be (3,0) because that is where the x axis is starting at

Find the value of m so that the line y = mx - 5 will pass through the point (-2,3).

Answers

Answer:

Step-by-step explanation:

b/c there is a -5 we know that the line will pass through point (0,-5)  and we also want the line to pass through (-2,3) so use those two points to find the slope

m = 3-(-5) / -2 -0

m = 3+5 / -2

m =  -8/2

m = -4

wich fractions are equivalent to 40% check all that apply​

Answers

Answer:

[tex]\frac{2}{5} = \frac{8}{20} = \frac{4}{10} = \frac{16}{40} = 40\% = \frac{40}{100} [/tex]

hope this helps.

Solve the following:
x + 14 <2

Answers

Answer:

x is anything greater than -12

Step-by-step explanation:

I’m need the solution ASAP

Answers

Answer:

C and D, x = 5

Step-by-step explanation:

To solve this problem, you add 9.2 to both sides then divide both sides by 5.5. The Addition Property of Equality states that if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. This is the first step to solve the problem. The Division Property of Equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is the second step to solve the problem. To solve the problem, add 9.2 to both sides, that gets us 5.5x = 27.5. Now, we divide both sides by 5.5. That gets us x = 5.

Nyanna solved the equation
8(x – 3) + 7 = 2x(4 – 17) incorrectly.
Find the error in her solution. Use the sketch tool and
explain your reasoning.

Answers

Answer:

1/2

Step-by-step explanation:

Or, 8(x-3)+7= 2x(4-17)

Or, 8x-24+7=2x(-13)

Or, 8x-17= -26x

Or, 34x=17

x=1/2

Terry made 7 chicken pot pies during the month of October. He baked each pie individually for 18 minutes at one temperature. Then he baked each pie for another 20 minutes at a lower temperature. About how many minutes did Terry spend baking chicken pot pies in October?
Group of answer choices

Answers

Answer:

he spent 166 minutes baking pot pies in October

Whats values x= 2+/- i are the the roots of the quadratic equation?​

Answers

Answer:

x^2 - 4x + 5 = 0

Step-by-step explanation:

:)

x = (2 + i) and (2 - i) are the roots of the quadratic equation f(x) = x² - 4x + 5.

What are roots of a quadratic equation?

The values of variables satisfying the given quadratic equation are called its roots.

Given  (2 + i) and (2 - i) are roots of the quadratic equation.

Let the quadratic equation be f(x).

(x - (2 + i)) and (x - (2 -i)) are the factors of f(x).

Since, f(x) is a quadratic equation, it has only two roots.

f(x) = (x - (2 + i))(x - (2 - i))

f(x) = x² - (2 - i)x - (2 + i)x + (2 - i)(2 + i)

f(x) = x² - 2x + ix - 2x - ix + 4 - i²

f(x) = x² - 4x + 4 + 1

f(x) = x² - 4x + 5

Learn more about roots of quadratic equation here

https://brainly.com/question/26926523

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Substitute x = 2y - 2 into the expression 5x
(1 Point)

Answers

Answer:

Substituting x= 2y-2 in 5x

5(2y-2)

10y-10

10(y-1)

all you have to do is replace the x with 2y-2

x=2y-2

5(2y-2)

10y-10

you can further factorise

10(y-1)

10 percent of a number equals 40 what is the number

Answers

Answer:

The number is 400

Step-by-step explanation:

10 percent of 400 would be 40 because you divide by 10

3 + 7 Is what

A) 10

B) 18

C) 37

Answers

Answer:

A)10

Step-by-step explanation:

hope it helps u

What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians

Answers

Answer:

2.5

Step-by-step explanation:

What is the value of g(-3) if f(x)=2x-1 and g(x)=-x+1?

Answers

Answer:

it's answer is 4

Step-by-step explanation:

given

g(x) = - x + 1

g(-3) = -(-3) + 1

= 3 + 1

=4

Hope it will help you :)❤

What is the distance between the points R(5, 7) and S(-2, 3)?​

Answers

Answer:

Step-by-step explanation:

D

The distance between points is √65.

What is distance?

The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.

The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.

Given coordinates

R(5, 7) and S(-2, 3)

to find the distance between

the formula of distance for coordinates is

d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]

here y₂ = 3, y₁ = 7

x₂ = -2, x₁ = 5

substitute value in equation we get

d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]

d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]

d = √(16 + 49)

d = √65

Hence the distance is √65.

Learn more about distance;

https://brainly.com/question/15172156

#SPJ2

Round 1.453 to the nearest tenth.

Answers

Answer:

1.5

Step-by-step explanation:

Answer: 1.5 hope this helps if you Wana know how I got that then mark me brainest

Step-by-step explanation:

What is the value of y when x = 4

Answers

Answer:

Can not be determined

Step-by-step explanation:

In order to find the value of y for x = 4 you need to have a relation between x and y, which is not given. So you can't determine the value of y.

(10) Find the values of x, y, and z. The diagram is not to scale.

Answers

Answer:

y = 67 degrees

x = 86 degrees

z = 94 degrees

Step-by-step explanation:

This is easy...

38 + 56 = x

94

180 - 94 = 86

86 + 38 + 56 = 180

so x = 86 degrees

___________________

180 - 86 = 94

z = 94

___________________

94 + 19 = 113

180 - 113 = 67

67 + 94 + 19 = 180

so y = 67 degrees

In which step was the first mistake made when solving this equation.

Answers

Step A since it should be a positive 8
Step A. A negative multiplied by a negative is positive. -2 times -4 should’ve been + 8.

What’s the solution for k/2=4

Answers

Answer: k=8

Step-by-step explanation:

k/2 = 4

k = 4 x 2

k = 8

Check: 8/2=4

Answer:

[tex]k=8[/tex]

Step-by-step explanation:

[tex]\frac{k}{2} = 4[/tex]

Multiply both sides by 2 to isolate k

[tex]\frac{k}{2}(2) = 4(2)\\k=8[/tex]

I hope this helps!

Find a.
Round to the nearest tenth:
2 cm
с
150
1050
a =
= [? ]cm

Answers

Answer:

a = 1.8 cm

Step-by-step explanation:

Here. we want to find the value of a

To do this, we are going to use the sine rule

it states that the ratio of a side and the sine of the angle that faces the side is a constant for all the sides of a triangle

From the diagram, we have that;

The angle facing a is;

180-15-105 = 60

So, we have that

a/sin 60 = 2/sin 105

a = 2sin 60/sin 105

a = 1.794 cm


3 + (-7) = ?
Need helpppp

Answers

Answer:

The answer would be -4

Step-by-step explanation:

If you think about it like -7+3 it can help you figure out what sign to use :)

Please help, fast! 50 points!

Answers

Answer: e?

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

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