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OLga [1]
3 years ago
10

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

Mathematics
1 answer:
AveGali [126]3 years ago
5 0

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 = -\frac{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 = -\frac{b}{2a}

h = -\frac{47.5}{2 * -9.5}

h = -\frac{47.5}{-19}

h = \frac{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)

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Yanka [14]

Answer:

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

\frac{TD}{sin(P)}=\frac{TP}{sin(D)}

substitute the given values

\frac{15}{sin(38\°)}=\frac{TP}{sin(77\°)}

TP=\frac{15}{sin(38\°)}(sin(77\°))\\\\TP=23.7\ yd

therefore

The distance between Tyrone and the piano is 23.7 yards

6 0
3 years ago
The fourth term of an AP is 13 and the second term is 3 find the common difference<br><br>​
kogti [31]

Answer:

5

Step-by-step explanation:

<h3>Given</h3>

<u>In and AP</u>

  • a4 = 13
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  • d = ?
<h3>Solution</h3>

<u>Formula for the terms of AP:</u>

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<u>The difference of terms:</u>

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3 0
3 years ago
Which is the equation of a line that passes through the points (1,4) and (-1,1)
horsena [70]

Answer:

The equation of the line is y = 3/2x + 5/2

Step-by-step explanation:

To find the equation of this line, start by using the two points with the slope formula to find the slope.

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

m = (4 - 1)/(1 - -1)

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Now that we have the slope, we can use that and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = 3/2(x - 1)

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3 0
2 years ago
Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles
Julli [10]

Answer:

Markus has 6 marbles in each bag.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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