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Debora [2.8K]
3 years ago
8

Which is the graph of LaTeX: y=x^2-4x+4y = x 2 − 4 x + 4?

Mathematics
1 answer:
Nat2105 [25]3 years ago
6 0

Answer:

Step-by-step explanation:

Since we will be "completing the square" we will isolate the x2 and x terms ... so move the + 5 to the other side of the equal sign. y - 5 = 2x2 - 4x. We need a leading coefficient of 1 for completing the square ..

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Which answer best translates the equation 1/5x + 5=32
Airida [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
Find the lengths of all segments in the diagram.<br> AB =<br> BC =<br> BD =<br> AC =
Dmitrij [34]

Answer:

Since we know that AD =12

AC=1/2*AD

AC=6

AB=BC=1/2*AC

AB=BC=3

hope you like the answer

please Mark as brainlist

4 0
3 years ago
The owner of a bike shop that produces custom built bike frames has determined that the demand equation for bike frames is given
o-na [289]

Answer:

equilibrium point (10,340)

Step-by-step explanation:

To find the equilibrium point, equal the demand and the supply:

D(q)=S(q)\\\\-6.10q^2-5q+1000=3.2q^2+10q-80

Reorganize the terms in one side and reduce similar terms:

3.2q^2+6.1q^2+5q+10q-80-1000=0\\\\9.3q^2+15q-1080=0

that's a cuadratic equation, solve with the general formula when:

<u><em>a=9.3</em></u>, <u><em>b=15</em></u>, <u><em>c=-1080</em></u>

q_{1}=\frac{-b+\sqrt{b^{2}-4ac} }{2a}\\\\q_{2}=\frac{-b-\sqrt{b^{2}-4ac} }{2a}\\\\q_{1}=\frac{-15+\sqrt{(-15)^{2}-4(9.3)(-1080)} }{2(9.3)}\\\\q_{1}=\frac{-15+201}{18.6}\\\\q_{1}=\frac{186}{18.6}\\\\q_1=10

<em><u>q</u></em> can't be negative because it is the quantity of bike frames, so:

q_{2}=\frac{-b-\sqrt{b^{2}-4ac} }{2a}\\\\q_{2}=\frac{-15-\sqrt{(-15)^{2}-4(9.3)(-1080)} }{2(9.3)}\\\\q_{2}=\frac{-15-201}{18.6}\\\\q_{2}=\frac{-216}{18.6}\\\\

This value of <u><em>q</em></u> can't be considered.

Then substitute the value of <em><u>q</u></em> in <u><em>D(q)</em></u> to find the price <u><em>p</em></u>:

D(10) = -6.10(10)^2-5(10) + 1000\\\\D(10)=340=p

The equilibrium point (q,p) is (10,340).

6 0
3 years ago
Can someone HELP PLEASE
Sergio039 [100]

Answer:

∠ ABE = 46°

Step-by-step explanation:

Since BE bisects ∠ ABC , then

∠ EBC = ∠ ABE, substitute values

4x - 6 = 2x + 20 ( subtract 2x from both sides )

2x - 6 = 20 ( add 6 to both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Thus

∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°

5 0
3 years ago
1. Joel needs 24 apples for bobbing at his party. How many pounds of apples does Joel need? Explain. 8 apples weigh 3 3/4 pounds
harina [27]

I think it is 11 1/4 pounds

8 0
3 years ago
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