Lenny’s favorite radio station has this schedule:
A.
B.
C.
D.

Answers

Answer 1

Answer: I think the answer is 37/60

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Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial? 6 36 72 144
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How to graph y=-4x+2

Answers

Since the graph is linear, just find 3 points
(0,2), (1,-2), (-1,6)
And graph the points than draw a line to connect them

Help me please Algebra Two!!

Answers

Answer:

a. -2, even mult. and 1, odd mult.

b. $(x+2)^2(x-1)$

c. Odd degree of 3 or higher, likely higher due to the turns in the graph.

Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.

Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.

The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.

In this graph, there are two real zeros: -2,1

We can write them in intercept or factored form as (x-1) and (x+2).

Because the graph never crosses the x-axis at x=-2 the zero has an even multiplicity of at least 2. The opposite is true for x=1 because it crosses. Therefore it has an odd multiplicity of at least 1.

The graph is a sideways s shape and ends up so is positive.

This means the function has a degree of 3 or higher with the degree being odd.

Can you please help me with this question?

Answers

9514 1404 393

Answer:

240°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so you have ...

a° +b° +60° +60° = 360°

a° +b° = 240° . . . . . . subtract 120° from both sides

Prime factorization of 147

Answers

3, 7^2 the two is supposed to be an exponent.

Answer B: 3 x 7 x7 or 3 x 7^7

Find the zeros in simplest radical form:
y=1/2x^2-4

Answers

$y= (1)/(2)x^2-4\n \n y =0 \n \n(1)/(2)x^2-4 =0 \ \ / \cdot 2\n \nx^2-8=0 \n \n(x-√(8))(x+√(8))=0 \n \n x-√(8)= \ \ or \ \ x+√(8) = 0 \n \nx=√(8) \ \ or \ \ x=-√(8) \n \nx=√(4\cdot 2) \ \ or \ \ x= -√(4\cdot 2)\n \n x=2√(2) \ \ or \ \ x=-2√(2)$

$y= (1)/(2) x^2-4\n\ny=0\ \ \ \Leftrightarrow\ \ \ (1)/(2) x^2-4=0\ /\cdot2\ \ \ \Leftrightarrow\ \ \ x^2-8=0\n\nx^2-(2 √(2) )^2=0\ \ \ \Leftrightarrow\ \ \ (x-2 √(2) )(x+2 √(2) )=0\n\nx-2 √(2) =0\ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ x+2 √(2)=0\n\nx=2 √(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-2 \sqrt{2$

Factor this trinomial completely.15x²+11x-12
OA. (3x+3)(5x-4)
OB. (3x+4)(5x-3)
C. (x+3)(15x-4)
OD. (x+4)(15x-3)

Answers

Answer:

Step-by-step explanation:

given the trinomial

15x² + 11x - 12

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 15 × - 12 = - 180 and sum = + 11

the factors are + 20 and - 9 , since

+ 20 × - 9 = - 180 and + 20 - 9 = + 11

use these factors to split the x- term

15x² + 20x - 9x - 12 ( factor the first/second and third/fourth terms )

= 5x(3x + 4) - 3(3x + 4) ← factor out (3x + 4) from each term

= (3x + 4)(5x - 3)

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