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liberstina [14]
3 years ago
7

Factor

=0" align="absmiddle" class="latex-formula"> given that 3 is a zero.
A) (x+2)(x-3)^2=0
B) (x-2)(x-3)^2=0
C) (x-2)(x-3)(x+3)=0
D) (x+2)(x-\sqrt{3})(x+\sqrt{3})=0

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

A) (x +2)(x -3)² = 0

Step-by-step explanation:

Synthetic division by (x-3) gives the quadratic x² -x -6, which has factors (x -3) and (x +2). This is confirmed by another round of synthetic division.

The resulting factorization is ...

... (x +2)(x -3)² = 0

_____

A graph confirms a double zero at x=3 and one at x=-2.

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Pls help and answer quick!! <br><br> find x
siniylev [52]

hi

I Don't know

sorry

I will try to say next time

6 0
2 years ago
Identify the vertex, focus, and directrix. y=1/8y^2
Brut [27]
If all the equations for the directrix are "x = " lines then this is a y^2 parabola.  The actual equation is x= \frac{1}{8}y^2.  The standard form for a positive sideways-opening parabola is  (y-k)^2=4p(x-h).  We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation.  Our equation has no parenthesis to indicate movement from the origin.  The vertex is (0, 0).  Got that out of the way.  That simplifies our standard form down to  y^2=4p(x).  Let's take a look at our equation now.  It is  x= \frac{1}{8}y^2.  We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction.  That gives us an equation that looks like this:  y^2=8x.  That means that 4p = 8, and p = 2.  p is the distance that the focus and the directrix are from the vertex.  Since this is a positive parabola, it opens up to the right.  Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex.  The formula for the focus is (h + p, k).  Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0).  Going 2 units to the left of the origin then puts our directrix at the line x = -2.  Your choice then as your answer is b. 
6 0
3 years ago
A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct
denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

0.37x = 114

x = \frac{114}{0.37}

x = 308.11

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

6 0
3 years ago
Celia uses 80% of her paycheck to pay her bills. Her bills total $272. How much is Celia paycheck?
Vanyuwa [196]

Step-by-step explanation:

It is 340 dollars in total, I do this in an ubcenventional way of dividing 272 by 80 which gave you 3.4 which is equal to one percent and then multiply that by 20 which is 68 and add that to the other 80 percent of her bill to get 340 dollars

6 0
3 years ago
Find (f^-1)(a). F(x)=cosx- sin x + pi/2 a=pi/2, 0
Novosadov [1.4K]

Answer:

pi/4

Step-by-step explanation:

my answer is in the image above

7 0
3 years ago
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