Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Answers

Answer 1

Answer:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

$y = -9.5x^2 + 47.5x + 63$

Vertex, V is of the form:

$V= (h,k)$

Where

$h = -(b)/(2a)$

and

$k = f(h)$

Solving for h:

$y = -9.5x^2 + 47.5x + 63$

$y = ax^2 + bx + c$

So:

$a = -9.5$

$b = 47.5$

$c = 63$

$h = -(b)/(2a)$

$h = -(47.5)/(2 * -9.5)$

$h = -(47.5)/(-19)$

$h = (47.5)/(19)$

$h = 2.5$

Solving for k

$k = f(h)$

$k = f(2.5)$

Substitute 2.5 for x in $y = -9.5x^2 + 47.5x + 63$

$k = -9.5 * 2.5^2 + 47.5* 2.5 + 63$

$k = -59.375+ 118.75 + 63$

$k = 122.375$

Hence:

The vertex is

$V = (2.5,122.375)$

Answer 2

Answer:

The correct vertex for the function $y = -9.5x^2 + 47.5x + 63$ is (2.5, 122.375).

The given function is $y = -9.5x^2 + 47.5x + 63$ .

To find the vertex of a quadratic function in the form $y = ax^2 + bx + c$ , we can use the formula x = -b / (2a) to find the x-coordinate of the vertex.

In this case, the coefficient of $x^2$ is -9.5, the coefficient of x is 47.5, and there is no constant term.

Using the formula, we can find the x-coordinate of the vertex:

$x = (-b )/( 2a)\nx = (-47.5 )/( (2 * -9.5))\nx = 2.5$

Now, substitute this x-coordinate back into the original function to find the y-coordinate:

$y = -9.5(2.5)^2 + 47.5(2.5) + 63\ny = -9.5(6.25) + 118.75 + 63\ny = -59.375 + 118.75 + 63\ny = 122.375$

Therefore, the correct vertex for the function $y = -9.5x^2 + 47.5x + 63$ is (2.5, 122.375).

Micah's error might be related to incorrectly calculating the x-coordinate of the vertex or substituting the wrong value back into the function.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ3

Related Questions

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The three pens are to have the same area. Express the area function for the three pens in terms of x. Determine the domain and range for the area function
3^x - 3^(x-1) = 18 then 4^x is equal to
What term describes when you identify and separate time series data into components?
You must reverse the inequality sign when solving this inequality: x + 7 < 4True or false?
Which is an example of an statement that is accepted without proof?A) Parallel Postulate B) Pythagorean Theorem C) Betweenness Theorem D) Right Angle Congruence Theorem

4x2 + 25y2
factor the following

Answers

Answer:

see explanation

Step-by-step explanation:

This polynomial is irreducible, that is cannot be factored.

4x² + 25y² ← is a prime polynomial

Answer:

1, the polynomial itself

Step-by-step explanation:

This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)

What is the slope of side AC?

Answers

Answer:

The slope is ( d-b)/ ( c-a)

Step-by-step explanation:

To find the slope we can use the slope formula

m = ( y2-y1_/(x2-x1)

= ( d-b)/ ( c-a)

- 18 < - 3x + 9 < 12

Answers

Answer:

9>x>−1

Step-by-step explanation: Brian list?

Can someone adult or student is age 14 , more answer this worksheet plz

Answers

Answer:

I am 14 why are you asking

Find the measure of the indicated angle to the nearest degree.

Answers

you would do tanƟ = 9/12
tan^-1(9/12) = Ɵ
Ɵ = 36.87 degress
make sure your calculator is in degree mode

The answer is 36.87 degree. I hope it helps!

Nadine bought 5 quarts of oil for her car. How many fluid ounces is that?

Answers

Answer:

5 quarts is equal to 160 fluid ounces.

Step-by-step explanation:

Nadine bought 5 quarts of oil for her car. How many fluid ounces is that?

The relation between 1 quart and number of fluid ounces is :

1 quart = 32 fluid ounces.

So, 5 quarts will be = $5*32=160$ fluid ounces.

Hence, we can say that Nadine bought 160 fluid ounces for her car.

1 quart = 32 fluid ounces.

So, 5 quarts = ? fluid ounces.

Lets solve to find ?.

5 × 32 = 160

So, Nadine bout 160 fluid ounces (5 quarts) or oil for her car.

Hope I helped ya!!

Other Questions

What is 68,642 rounded to the nearest thousand?

Which type of sampling method is being employed in the following example? A study is being conducted of all schools in Gwinnett County. One student's parents from each school is randomly selected and asked in a survey what they think of Gwinnett County Public Schools.Simple Random SamplingStratified SamplingCluster SamplingSampling of ConvenienceSystematic Sampling

If one angle of a rhombus is 35 What are the remaining three angles

If t is any real number, prove that 1+(tant)^2=(sect)^2