How do you compute the intercepts of a quadratic function?

Answers

Answer 1
Answer: -- The x-intercepts, if any, are the points where y=0.
Set y=0 and solve what you have left for 'x'.

-- The y-intercepts, if any, are the points where x=0.
Set x=0 and solve what you have left for y.

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How many times does the graph of 4x = 32 - x2 cross the x-axis ?ОО
0 1
0 2

What are the solutions to the equation?

Answers

Answer:

Step-by-step explanation:

● 4x = 32 - x^2

Add x^2 to both sides

● 4x +x^2 = 32 -x^2+x^2

● x^2 +4x = 32

Substract 32 from both sides

● x^2+4x -32 =32-32

● x^2 +4x-32=0

That is a quadratic equation

We will use the determinant method

The determinant is b^2-4ac

● a = 1

● b = 4

● c = 32

● b^2-4ac = 4^2 -4×1×(-32) = 144

144 is positive so the parabola will cross the x-axis two times

● x = (-b -/+ √(b^2-4ac))/2a

● x = (-4 +/- 12) /2

● x = 8/2 or x= -16/2

● x = 4 or x =-8

The solutions are 4 and -8

Answer:

x=4 orx=- 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4

x

=

x

2

+

32

Step 2: Subtract -x^2+32 from both sides.

4

x

(

x

2

+

32

)

=

x

2

+

32

(

x

2

+

32

)

x

2

+

4

x

32

=

0

Step 3: Factor left side of equation.

(

x

4

)

(

x

+

8

)

=

0

Step 4: Set factors equal to 0.

x

4

=

0

or

x

+

8

=

0

x

=

4

or

x

=

8

Differentiate using first principle to show that:

d/dx √tanx = sec^2 x/2√tanx

Answers

Step-by-step explanation:

todavía no entiendo english.....

Please help I have this due by tomorrow

Answers

Answer:

1) Linear Pair

2) Adjacent

3) Complmentary

4) Vertical

How to see if matrix is one to one calculator

Answers

Answer:

look at the pivots (the leading 1's of the rows)

Step-by-step explanation:

Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.

Final answer:

To check if a matrix is one-to-one using a calculator, you need to enter the matrix values into the calculator, find the reduced row echelon form (RREF) of the matrix, and if the RREF is the identity matrix, the matrix is one-to-one.

Explanation:

In Linear Algebra, a matrix is considered one-to-one if each input vector from a given set of vectors gives a unique output vector. In other words, no two different input vectors can yield the same output vector. To check whether a matrix is one-to-one using a calculator, you’re essentially checking if the transformation represented by the matrix is injective. Here are the steps:

  1. Enter the values of your matrix into the calculator.
  2. Find the reduced row echelon form (RREF) of the matrix. You can do this by row reducing the matrix.
  3. If the RREF of the matrix is the identity matrix, then the matrix is one-to-one. This means that every column of the matrix will have a leading 1, with zeros everywhere else in that column and row.

Note: These steps can often be performed on a calculator that has capabilities for matrix operations, like a TI-83 or TI-84.

Learn more about Matrix here:

brainly.com/question/29132693

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You have a 13 foot long ladder and need to climb to a 12 foot tall roof. If you put the top of the ladder at the top of the wall, what angle is formed between the ladder and the ground?

Answers

Step-by-step explanation:

I guess this will help you

Three married couples attend a football game. In how many ways can they be seated in six seats in a row if all the men are seated together and all the women are seated together?6!
20
120
72

Answers

6 bc there is only 6 people and 1 row
6 bc thier is one row and six people