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3 years ago

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. AB = BC = BD = 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:

a=9.3, b=15, c=-1080

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

q 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 q can't be considered.

Then substitute the value of q in D(q) to find the price p:

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

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