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Yanka [14]
3 years ago
10

Estimate the solution to the following system of equations by graphing.

Mathematics
1 answer:
zmey [24]3 years ago
3 0
<span>x=<span><span><span><span>−1/</span>2</span><span> and </span></span>y</span></span>=<span>3/<span>4 hope this helps. </span></span>
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n the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in
IRINA_888 [86]

Answer:

There are no real solutions.

Step-by-step explanation:

There are 3 options.

2 real solutions: This happens if in the graph, each arm intersects the x-axis, this means that there are two different values of x such that the equation:

a*x^2 + b*x + c

is equal to zero.

Another way to see this, is if the determinant:

b^2 - 4*a*c

is larger than zero.

1 real solution: This happens when the vertex of the graph intersects the x-axis. This means that there is a single value of x such that:

a*x^2 + b*x + c

is equal to zero.

Another way to see this is if the determinant:

b^2 - 4*a*c

is larger equal zero.

No real solution: if in the graph we can not see any intersection of the x-axis, then we do not have real solutions (only complex ones).

Another way to see this is if the determinant:

b^2 - 4*a*c

is smaller than zero.

Now that we know this, let's look at the graph.

We can see that the vertex is below the x-axis, and the arms of the graph go downwards. So the arms will never intersect the x-axis (and neither the vertex).

So the graph does not intersect the x-axis at any point, which means that there are no real solutions for the quadratic equation.

The correct answer would be "none"

3 0
2 years ago
Your math test has 38 questions and is worth 200 points. This test consists of multiple-choice questions worth 4 points each and
Furkat [3]

Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3

Step-by-step explanation:

Let x represent the number of multiple-choice questions in the math test.

Let y represent the number of open-ended questions in the math test.

The math test has 38 questions. It means that

x + y = 38

This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that

4x + 20y = 200 - - - - - - - - - -1

Substituting x = 38 - y into equation 1, it becomes

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

48/16

y = 3

Substituting y = 3 into x = 38 - y, it becomes

x = 38 - 3 = 35

8 0
3 years ago
. Name the figure. pyramid cylinder cube square
Serhud [2]
Where is the figure?
5 0
3 years ago
Read 2 more answers
What is the standard value of 110 units​
Alexeev081 [22]

Answer:

Hundreds.

Step-by-step explanation:

There are 3 digits. And the decimal is after the value of 110.

7 0
2 years ago
PLEASE HELPPLEASE HELP WILL GIVE POINTS!!!
Scorpion4ik [409]

The answer is 70/100

5 0
2 years ago
Read 2 more answers
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