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Dennis_Churaev [7]
2 years ago
6

State the x- and y-intercepts.

Mathematics
1 answer:
Rufina [12.5K]2 years ago
7 0

1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.

2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.

3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.

Hope this helps!! :)

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Write an inequality to represent the graph.
Westkost [7]

Answer:

y ≥ −4x − 2

Step-by-step explanation:

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3 years ago
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensio
svetoff [14.1K]

The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

<h3>What is the area of the rectangle?</h3>

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

More about the area of the rectangle link is given below.

brainly.com/question/20693059

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4 0
2 years ago
What are the solution(s) to the quadratic equation 50 – x2 = 0?
Dmitrij [34]

Answer:

x = ±5\sqrt{2}

Step-by-step explanation:

We have been given the quadratic equation;

50-x^{2}=0

The first step is to subtract 50 from both sides of the equation;

50-x^{2}-50=0-50

-x^{2}=-50

Multiplying both sides by -1 yields;

x^{2}=50

The final step is to obtain square roots on both sides;

\sqrt{x^{2} }=\sqrt{50}\\x=+/-\sqrt{50}

Therefore, x = ±5\sqrt{2}

5 0
3 years ago
A sample contains 300 grams of carbon-11, which has a half-life of 20 minutes.
vladimir2022 [97]

Answer:

Step-by-step explanation:

8 0
1 year ago
If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =
s2008m [1.1K]

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

(7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

3 0
3 years ago
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