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3 years ago

Solve the Linear-Quadratic System of Inequalities. Shade the solution on the graph provided.

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

3 0

Answer:

We have the system:

y > x^2 - 1

y < (-1/2)*x + 3

To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.

How we do it?

Start with the first one.

First, we graph the equation:

y = x^2 - 1

Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line

For the other inequality we do the same:

First we graph:

y = (-1/2)*x + 3

And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.

Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.

You can see the graph below.

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Mrs. Eaton's dass is participating in the "Box Teps for Education campaign. On the first day, her

Katyanochek1 [597]

The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$

where a is a constant and a>1

First day class collected = 2 tops

Third day class collected = 8 tops

The exponential function can be modelled:

$\rm D(N) = 2^N$

D(1) = 2 (first day)

D(3) = 8 (third day)

D(6) = 64 (sixth day)

The linear function can be modeled:

D(N) = 3N -1

D(1) = 2 (first day)

D(3) = 8 (third day)

D(6) = 17 (sixth day)

Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

4 0

2 years ago

What is the axis of symmetry of a parabola if its x-intercepts are -3 and 5?

ollegr [7]

Answer:

The axis of symmetry will be at 1

Step-by-step explanation:

The middle of -3 and 5 will be the axis :)

-3, -2, -1, 0, 1, 2, 3, 4, 5

-2, -1, 0, 1, 2, 3, 4

-1, 0, 1, 2, 3

0, 1, 2

3 0

3 years ago

A recipe for 12 corn muffins calls for 1 cup of flour. The number of muffins you can make varies directly with the amount of flo

Deffense [45]

1 cup makes 12
2.5 cups make (12x2.5) = 30 muffins

8 0

3 years ago

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2x+3y=19 // 6x+2y=22

zvonat [6]

Answer:

(2, 5 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 19 → (1)

6x + 2y = 22 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 6x - 9y = - 57 → (3)

Add (2) and (3) term by term to eliminate x

0 - 7y = - 35

- 7y = - 35 ( divide both sides by - 7 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(5) = 19

2x + 15 = 19 ( subtract 15 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 5 )

7 0

3 years ago

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Math Need Help

crimeas [40]

Hi there! The answer is 5/6 hours (which is 50 minutes)

To find the total time Ann spent on her papers, we must add the fractions.
$\frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}$

In the first step, we had to make the denominators the same. We need to use the LCM of the numbers 2 and 3. LCM(2,3) = 6.

In the second step we added the fractions. Remember that we only need to add the numerators (the denominator remains the same).

~ Hope this helps you!

8 0

3 years ago

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