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3 years ago

G(x) = x2 - 2x +3 for g

Mathematics

1 answer:

user100 [1]3 years ago

5 0

Answer:

Since

is on the right side of the equation, switch the sides so it is on the left side of the equation.

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(

)

Multiply

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Subtract

from both sides of the equation.

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Use the quadratic formula to find the solutions.

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√

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(

)

Substitute the values

−

, and

into the quadratic formula and solve for

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(

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)

√

(

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)

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⋅

(

⋅

)

⋅

Simplify.

Tap for more steps...

√

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The final answer is the combination of both solutions.

√

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√

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Step-by-step explanation:

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Which is the standard form of the equation of the parabola that has a vertex of (–4, –3) and a directrix of x = 2?

Zielflug [23.3K]

Answer:

Equation of the parabola is $\left(y+3\right)^{2}=-24(x+4)$

Step-by-step explanation:

We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.

As vertex is (-4,-3) that means parabola is in third quadrant.

So the standard formula of the parabola will be y²= -4px through origin (0,0).

But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)

$\left\{y-(-3)\right\}^{2}=(-4\times 6)\left\{x-(-4)\right\}$

$\left(y+3\right)^{2}=-24(x+4)$ .

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4 years ago

Read 2 more answers

-x-5y-5z=2<br> 4x-5y+4z=19<br> x+5y-z=-20

Leno4ka [110]

(x,y,z) = (-2, -3, 3)

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3 years ago

Eva has some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wall

jek_recluse [69]

Answer:

Step-by-step explanation:

62.17

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3 years ago

A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many ho

Svetlanka [38]

Answer:

13.75 hours

Step-by-step explanation:

First, find how many km the driver can travel:

11(35)

= 385

Then, divide this by 28 to find how many hours the driver can travel:

385/28

= 13.75

So, the driver can travel 13.75 hours

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3 years ago

Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister co

podryga [215]

Answer:

They will have the same amount of sugar in their canisters in 15 days

Step-by-step explanation:

Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.

Since we do not know the number of days it will

take, we have to represent it using a variable.

Let the number of days be x days

Now, we are told Li uses 8.4 g per day.

So in x days, the amount user will be 8.4 * x = 8.4x g

Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x

For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g

So the amount of sugar left in her canister will be 191-12.6x

Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;

128-8.4x =191-12.6x

Collect like terms;

12.6x-8.4x = 191-128

4.2x = 63

x = 63/4.2

x = 15 days

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4 years ago