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77julia77 [94]
3 years ago
14

Finding zeros of a quadratic function

Mathematics
2 answers:
antoniya [11.8K]3 years ago
8 0

Answer:

-2, and 3

Step-by-step explanation:

-x² +x +6 = 0 is the same as

x²-x-6=0

but, x² -Sx+P=0

think what 2 numbers have the sum =1 and product = -6 that will be -2 and 3 witchh are your zeros

or you can use the graph or quadratic formula to solve

Nataly [62]3 years ago
8 0

F(x)=-x^2+x+6

Step-by-step explanation:

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Are the two parabolas defined below similar or congruent or both? Justify your reasoning. Parabola 1: The parabola with a focus
Dominik [7]

Answer:

They are similar by a factor of 14

Step-by-step explanation:

From the general equation of a parabola opening up (since the directrix is on the y axis and the focus is upwards this line) the focus coordinates are:

Focus = (h,k+p) = (0,2)

So h=0 and k+p=2, for the directrix:

y = k-p=-4

solving k and p from the two equations above:

k=-1 and p=3

So for Parabola 1 the equation would be:

x^{2} =4*3(y+1)

For Parabola 2 the general equation is:

x^{2} =4*(3/2)(y)

here h=0, k=0, p=3/2 so focus is (0,3/2), directix is y=-3/2, they have the same orientation.

they are not congruent. For them to be similar it must comply:

x_{1}=k x_{2}\\y_{1}=ky_{2} => (1/12)x_{1} ^{2} -1 = k(1/6)x_{2} ^{2}

replacing x_{1} and solving for k:

(1/12)(kx_{2}) ^{2} -1 = k(1/6)x_{2} ^{2}\\ (1/12)k^{2} x_{2}^{2}-1 = k(1/6)x_{2} ^{2}\\k-12 = (12/6)=2\\k = 2+12=14\\

They are similar by a factor of 14

8 0
3 years ago
3(x-3)
blsea [12.9K]

Answer:

6

Step-by-step explanation:

Alright! So, this might seem complicated at first, but in the end its just a bit of algebra. If we think of a triangle, adding all of the sides together creates the perimeter. This means that 3(x-3) + 4x-1 + 2x+5 = 49. After this we can simplify to 9x - 5 = 49, and 9x = 54. Since 54/9 = 6, this means that x = 6.

4 0
4 years ago
Help help help it is simple one​
algol [13]

Answer:

3^{ -x+3}

Step-by-step explanation:

We need to simplify out the given exponential expression . The given expression to us is ,

\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}}

We can use the <u>Law of </u><u>Exponents</u> to simplify the given expression . Recall that ,

\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}

Note that , we can write ,

\rm\implies \dfrac{1}{3}= 3^{-1}

Therefore our expression becomes ,

\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}

Simpify using the Law of Exponents ,

\rm\implies 3^{ -1 - ( x - 4 )}

Open the brackets in exponent ,

\rm\implies 3^{ -1 - x +4 }

Simplify to get final expression ,

\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}

5 0
3 years ago
Find the arc length of 24xy=y^4+48?
matrenka [14]
X = y^4 + 48/ 24y
Hope this helped :)
6 0
3 years ago
Are the following similar? Why or why not
galben [10]

Answer:

yes

Explanation:

  • the ratios of the corresponding sides are equal: 3/2
  • the corresponding angles are equal
6 0
3 years ago
Read 2 more answers
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