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3 years ago

Which of the following is the graph of the quadratic function? y=x^2+4-12

Mathematics

1 answer:

tiny-mole [99]3 years ago

5 0

Answer:

Graph B

Step-by-step explanation:

The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis

Now the first thing we will do here is to solve the quadratic equation graph;

x^2 + 4x -12 = 0

x^2 +6x - 2x -12 = 0

x (x + 6) -2(x + 6) = 0

(x-2)(x + 6) = 0

x = 2 or -6

So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation

Graph B is the closest to what we have as answer

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Can someone please solve both of these showing all the steps I'll add extra points because its two

EastWind [94]

Answer:

4. 21

5. 32

Step-by-step explanation:

First question:

sin(x) = opp/hyp = 22/63 = 0.3492

x = sin⁻¹(0.3492)

20.43. Rounded to the nearest degree, it would be 21.

Second question:

sin(x) = opp/hyp = 18/34 = 0.5294

x = sin⁻¹(0.5294)

31.96. Rounded to the nearest degree, it would be 32.

Let me know if you have any problems.

3 0

3 years ago

The length of a rectangle is 3ft more than twice the width, and the area of the rectangle is 54ft^2. Find the dimensions of the

777dan777 [17]

Answer: Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2 and x = -6

x = 4.5 and x = -6

We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the mean of the set of data? 6, 7, 10, 12, 12, 13 6 7 10 11

blagie [28]

The mean of the data is 10

7 0

3 years ago

Read 2 more answers

Can someone help me with this math homework please!

mamaluj [8]

Answer:

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped

Step-by-step explanation:

The given table is presented as follows;

$\begin{array}{ccl}t&h(t)&Description\\0&20&Initial \ height\\0.5&18.8&Rock \ in \ downward \ motion\\1&15.1&\\1.5&9&\\2&0.4&The \ height \ just \ before \ the \ rock \ hits \ the \ ground \\2.5&-10.6&The \ calculated \ height \ after\ the \ rock \ hits \ the \ ground \\3&-24.1&Calculated \ height \ after\ the \ rock \ hits \ the \ ground\end{array}$

Therefore, the rock hits the ground between t = 2 seconds and t = 2.5 seconds after it is dropped.

4 0

3 years ago

What is 3.2 × 10−4 m/h in centimeters per second? A. 8.889 × 10−6 cm/s B. 8.889 × 10−5 cm/s C. 1.152 × 10−5 cm/s D. 1.152 × 10−7

atroni [7]

$3.2 x 10^{-4} x \frac{100}{3600} = 8.888 x 10^{-6}$

therefore ur answer is OPTION A 8.889 x 10-6 cm/s

4 0

3 years ago