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liberstina [14]
2 years ago
8

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has

Mathematics
1 answer:
mariarad [96]2 years ago
6 0

Answer:F(x)=-x2-3

Step-by-step explanation:We are given a function:

The graph of  is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of  is positive, that is why the parabola opens up.

General equation of parabola is given as:

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of  as negative. i.e.

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become:

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How do you write 7,870 in scientific notations ?
Nuetrik [128]

Answer:

7.87X10^3

Step-by-step explanation:

^ means to the power of

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3 years ago
What is the solution to the equation? 2 x squared plus 4 equals 20 Choose all answers that are correct.
Stolb23 [73]
2x^2+4=20\ \ \ \ |subtract\ 4\ from\ both\ sides\\\\2x^2=16\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=8\iff x=\pm\sqrt8\\----------------------------\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\cdot\sqrt2=2\sqrt2\ \ \ |use\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\-----------------------------\\therefore\ your\ answer\ is\ -2\sqrt2\ and\ 2\sqrt2\to\boxed{a\ and\ c}
8 0
3 years ago
You are standing 60 feet from the base of a 20-foot tall flagpole. What is 1
Rasek [7]

Answer: The angle of elevation is 18.4 degrees (Approximately)

Step-by-step explanation: Please refer to the picture attached for more details.

The pole from top to  bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.

Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).

Therefore, to calculate angle A;

Tan A = Opposite/Adjacent

Tan A = 20/60

Tan A = 1/3

Tan A = 0.3333

Checking with your calculator or table of values,

A = 18.4349°

Rounded to the nearest tenth,

A ≈ 18.4°

5 0
3 years ago
The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc
11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

l: the number of large cars.

s: the number of small cars.

Then, you can set up the following system of equations:

\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5

l≈56

Substitute l=56 into one of the original equations and solve for <em>s:</em>

<em> </em>56+s=142\\s=142-56\\s=86

3 0
3 years ago
A commercial property purchased for 1.2 million is revalued at 995,000. Calculate the percentage decrease in the property’s valu
soldi70 [24.7K]

Answer:

17%

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100.

First:

1,200,000 - 995,000 = 205,000

Then:

205,000 / 1,200,000 = 0.17

0.17 × 100% = 17%

4 0
3 years ago
Read 2 more answers
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