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Semmy [17]
3 years ago
5

What is the equation of the following graph?

Mathematics
1 answer:
dangina [55]3 years ago
7 0

There are a couple of different ways you could do this, but I'll show the simpler way. We will use the formula

y=a(x-h)^2+k

along with the fact that the vertex has h and k coordinates of 1 and 4 respectively, and that a point on the graph is (3, 5). We could have used any point on the graph where there is a definite integer coordinate pair. We will fill in accordingly and solve for a.

5=a(3-1)^2+4 and

5 = 4a + 4. If we subtract 4 from both sides we get that a=\frac{1}{4}. Now we will fill in the formula and expand as needed:

y=\frac{1}{4}(x-1)^2+4 and

y=\frac{1}{4}(x^2-2x+1)+4. If we distribute the 1/4 in and then add the constants the final equation for that graph will be

y=\frac{1}{4}x^2-\frac{1}{2}x+\frac{17}{4}

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Um please continue the question, thanks!
7 0
3 years ago
A local telephone company offers a long-distance telephone plan that charges $5.25 per month and $0.08 per minute of calling tim
Zepler [3.9K]

Answer:

$19.09

Step-by-step explanation:

We just have to substitute t(minutes) for 173

0.08(173) + 5.25

13.84 + 5.25 = 19.09

His monthly bill would be $19.09

Nineteen dollars and 9 cents

6 0
4 years ago
Read 2 more answers
Complete the following steps to find the LCD and write the sum of the numerators for the given problem: es002-1. Jpg Factor each
lesya [120]

The value of x from the given equation is -4/3

<h3>Factorization</h3>

Given the quadratic equation x^2 – 3x – 4 =  x^2 – 6x + 8

  • Collect the like terms

x^2 – 3x – 4 - x^2 + 6x - 8 = 0

-3x + 6x - 4 + 8 = 0

3x + 4  = 0

  • Subtrcat 4 from both sides

3x + 4 - 4  = 0 - 4

3x = -4

  • Divide both sodes by 3

3x/3 = -4/3

x = -4/3

Hence the value of x from the given equation is -4/3

Learn more on equations here: brainly.com/question/2972832

5 0
2 years ago
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
1,13, 19..<br> Arithmetic, geometric, or neither
rosijanka [135]

Answer:

Neither.

Step-by-step explanation:

13 - 1 = 12 and 19 - 13 = 6  - no common difference  so its not Arithmetic.

13/1 = 13 and 19/13 = 1.46  - no common ratio so its not Geometric.

4 0
3 years ago
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