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Katarina [22]
2 years ago
11

Using the graph as your guide, complete the following statement.

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0

Answer:

Option C. positive

Step-by-step explanation:

we know that

If the discriminant of a quadratic function is positive, then the quadratic function has two real solutions

If the discriminant of a quadratic function is zero, then the quadratic function has one real solution

If the discriminant of a quadratic function is negative, then the quadratic function has two complex solutions

In this problem

The quadratic function has two real solutions (x-intercepts)

therefore

The discriminant is positive

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Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!
gayaneshka [121]

Answer:  (0, 25) ∪ (25, ∞)

<u>Step-by-step explanation:</u>

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x          <em>added 5√x to both sides</em>

x² = 25x              <em>squared both sides</em>

x² - 25x = 0             <em>subtracted 25x from both sides</em>

x(x - 25) = 0                 <em>factored the quadratic equation</em>

x = 0   and   x - 25 = 0     <em>applied the Zero Product Property</em>

x = 0   and    x = 25              <em>solved for x</em>

<em />

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x   and   5√x     both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0  and    x ≠ 0    and    x ≠ 25    

so, x is between 0 and ∞  but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included.  Infinity always uses a parenthesis since it is not an actual number.

6 0
3 years ago
Sort each function into the correct category
almond37 [142]

Answer:

Linear: 0.45-1 , 5 , 2x-6

Quadratic: 19x2 , x2-3x+4

Exponential: 4,5x+1.8

Please do not hesitate to ask further questions.

4 0
2 years ago
The volume of a right circular cone is found using the equation V = 1 3 π r 2 h . Which equation represents the volume solved fo
alex41 [277]

Solving for a variable in an equation means, we are changing the subject of formula of the equation.

The equation of r is: \mathbf{r = \sqrt{\frac{3V}{\pi h}}}

The equation is given as:

\mathbf{V = \frac 13 \pi r^2h}

We start by multiplying both sides by 3

\mathbf{V \times 3= \frac 13 \pi r^2h \times 3}

Rewrite as:

\mathbf{3V= \pi r^2h}

Divide both sides by \mathbf{\pi h}

\mathbf{\frac{3V}{\pi h}= \frac{\pi r^2h}{\pi h}}

Cancel out common factors

\mathbf{\frac{3V}{\pi h}= r^2}

Take square roots of both sides

\mathbf{\sqrt{\frac{3V}{\pi h}}= \sqrt{r^2}}

Evaluate the right-hand sides

\mathbf{\sqrt{\frac{3V}{\pi h}}= r}

Make r the subject

\mathbf{r = \sqrt{\frac{3V}{\pi h}}}

Hence, the resulting equating for r is:

\mathbf{r = \sqrt{\frac{3V}{\pi h}}}

Read more about the subject of formulas at:

brainly.com/question/21866313

6 0
2 years ago
There were 532 people at the Nutcracker. If admission was $24 for adults and $16 for children and $10,272 was collected, how man
anzhelika [568]
X = # adults

y = # children


system

24x+16y=$10272
x + y =532

4 0
2 years ago
Help plz I will give brainliest
HACTEHA [7]

Answer:

i think that it is C

Step-by-step explanation:

if im incorrect i apologize

5 0
3 years ago
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