MATHEMATICS HIGH SCHOOL

HELP TIMED TEST!!!!!!For what values of x is x2-36=5x true?

-9 and -4
-4 and 9
4 and -9
9 and 4

Answers

Answer 1

Answer:

Answer:

-4 and 9

Step-by-step explanation:

factored

(x - 9)(x + 4) = 0

with this x*x - 5x - 36 = 0

so x = 9 or x = -4

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How many terms are in the expression shown below?a2 - ab + 8b + b2 - 1
2
3
4
5

Answers

The answer is: 5 .
___________________________
1) a² ;
___________
2) −ab ;
___________
3) + 8b ;
___________
4) + b² ;
___________
5) − 1 .
____________________________________________________

Christi is doing her math homework. To receive full credit, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Christi's correct answer, so she receives full credit for the question? Explain in complete sentences.

Answers

Christi should know the "zeros" of the polynomial function for sketching the graph of it (where the graph intersects with the x an y-axises, if it does). Also, she needs to know the vertical and horizontal stretches/shrinks for that. Finally, she should know the basic function of the polynomial function such as x^2, 1/x and etc.

Answer:

We are given that, Christi needs to sketch a polynomial function given by $p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+.......a_(1)x+a_(0)$ .

The few key features necessary to plot a polynomial function are:

1. Zeroes of the polynomial.

In order to plot a polynomial function, we are required to know the x-intercepts i.e. the points at which the graph will cut the x-axis.

They can be obtained by finding the zeroes of a polynomial, which can be found by using,

Fundamental Theorem of Algebra states that 'an n-degree polynomial will have n-zeroes'.

2. Extremum points and the point of inflection.

Now, in order to know the the points where graph of the polynomial function becomes flat, we find the extrema points.

That is, extrema points are the points which makes the slope of the function zero, which can be obtained by using,

Derivative Test, in which we 'differentiate the function with respect to x and equate it to 0'.

3. End Behavior.

The polynomial function can be sketched easily when we the end behavior of the function, which can be viewed by using,

Leading Coefficient Test, which states the behavior of the polynomial function depending upon the degree and the leading co-efficient of the polynomial.

In a theater group of 36 people. 20 can sing and 12 can play instruments. If 5 can play n sing. How many can niether play nor sing

Answers

Answer:

Step-by-step explanation:

Draw a Venn diagram.

+------------------------------------------------------------+

| N |

| +--------------+ +-----------+ |

| / P /\ S \ |

| / / B \ \ |

| \ \ / / |

| +------------+ +------------+ |

| |

+------------------------------------------------------------+

The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.

The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.

Now we begin to fill it in.

5 people both play and sing, so we place a 5 in the overlap section.

+------------------------------------------------------------+

| N |

| +--------------+ +-----------+ |

| / P /\ S \ |

| / / B \ \ |

| \ \ 5 / / |

| \ \ / / |

| +------------+ +------------+ |

| |

+------------------------------------------------------------+

20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.

12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.

Place the numbers 15 and 7 in the correct places.

+------------------------------------------------------------+

| N |

| +--------------+ +-----------+ |

| / P /\ S \ |

| / / B \ \ |

| \ 7 \ 5 / 15 / |

| \ \ / / |

| +------------+ +------------+ |

| |

+------------------------------------------------------------+

Now add all the people already placed.

15 + 5 + 7 = 27

Subtract that number form the total.

36 - 27 = 9

Place the 9 in the correct area.

+------------------------------------------------------------+

| N 9 |

| +--------------+ +-----------+ |

| / P /\ S \ |

| / / B \ \ |

| \ 7 \ 5 / 15 / |

| \ \ / / |

| +------------+ +------------+ |

| |

+------------------------------------------------------------+

Answer: 9

A more normal looking Venn diagram looks like this:

Match the side and angle measures of each triangle to its correct classification.

Answers

We can match like this

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

What is an obtuse scalene triangle?

"An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. These triangles are scalene and obtuse at the same time. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures."

What is a right scalene triangle?

"A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal."

What is an obtuse isosceles triangle?

"The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length."

What is acute equilateral triangle?

"In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute."

In the first option

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

We can observe that one of the angle is greater than 90 degrees and two sides of the triangle are equal in length.

The Obtuse Isosceles Triangle may be defined as the triangle in which one angle is greater than 90 degrees and two sides that forms the Obtuse Angle are equal in length.

In the second option

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

We can observe that one of the angle is right angle and all sides are different.

A right scalene triangle is a scalene triangle that has exactly one right angle. A triangle is scalene if none of its sides are equal.

In the third option

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

We can observe that an angle is greater than 90 degrees and all the sides with different lengths.

An obtuse scalene triangle is a scalene triangle that has an obtuse internal angle. An obtuse angle is an angle that is greater than 90 degrees and a scalene triangle is a triangle that has all its sides with different lengths and all of its angles with different measures.

In the fourth option

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

We can observe that all the angles are equal and angles are less than 90 degrees. All the sides are equal.

In a equilateral triangle, all the angles are equal. All the angles in a triangle sum up to 180 degrees. In the acute equilateral triangle, all angles are less than 90 degrees that are acute.

We can match like this

Angle measures : 38 degrees, 38 degrees and 104 degrees

Side lengths : 8 inches, 8 inches, 11 inches

Obtuse Isosceles Triangle

Angle measures : 22 degrees, 68 degrees, 90 degrees

Side lengths : 5 inches, 12 inches, 13 inches

Right scalene triangle

Angle measure : 26 degrees, 36 degrees, 118 degrees

Side lengths : 1.5 inches, 2 inches, 3 inches

Obtuse scalene triangle

Angle measure : 60 degrees, 60 degrees, 60 degrees

Side length : 4 inches, 4 inches, 4 inches

Acute equilateral triangle

Learn more about types of triangles here

brainly.com/question/22737630

#SPJ2

Answer: 38° obtuse isosceles 26° obtuse scalene 60° acute equilateral 22° right scalene

Step-by-step explanation:

Trust me

What times what gets 6.25 but adds up to5

Answers

2.5 and 2.5 add up to 5, and multiply to get 6.25

Final answer:

The question seeks two numbers which when multiplied result in 6.25 and, when added, give a total of 5. These numbers are 2.5 and 2.5.

Explanation:

The question is seeking for two numbers which when multiplied (times) result in 6.25 and when added (adds up) give a total of 5. These numbers are 2.5 and 2.5. This is because 2.5 times 2.5 equals 6.25, and also 2.5 + 2.5 equals 5.

To illustrate, consider this: