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2 years ago

What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3?

Mathematics

2 answers:

nikklg [1K]2 years ago

6 0

If im not wrong it would be f(x)= 6x+9
So up nine on y-axis and then go up 6 over to the right 1

Art [367]2 years ago

5 0

The vertex is (-1,0). you can find this after putting the equation in standard form by completing the square.

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SOMEOne PLS EXPLAIN VERTICAL ASYMPTOTES TO ME IM DYING- i need to know how u get the asymptote(explanation) and answer T^TTTTTTT

Kitty [74]

A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.

In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.

Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.

So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”

4 0

2 years ago

The population of a city is modeled by the equation P(t)=232012e0.23t where t is measure in years. If the city continues to grow

Gennadij [26K]

In around 6.35 years, the population will be 1 million.

<h3> how many years will it take for the population to reach one million?</h3>

The population is modeled by the exponential equation:

$P(t) = 232,012*e^{0.23*t}$

Then we just need to solve the equation for t:

$P(t) = 232,012*e^{0.23*t} = 1,000,000$

Let's solve that:

$232,012*e^{0.23*t} = 1,000,000\\\\e^{0.23*t} = 1,000,000/232,012 = 4.31\\$

If we apply the natural logarithm to both sides:

$ln(e^{0.23*t}) = ln(4.31)\\\\0.23*t = ln(4.31)\\\\t = ln(4.31)/0.23 = 6.35$

So in around 6.35 years, the population will be 1 million.

If you want to learn more about exponential equations:

brainly.com/question/11832081

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5 0

1 year ago

One angle within a triangle is 76 degrees. What is the value of the exterior angle?

mrs_skeptik [129]

Answer:

The value of the exterior angle is $104\°$

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to $180\°$ , because are supplementary angles.

Let

x-----> the measure of the exterior angle

$76\°+x=180\°$

solve for x

$x=180\°-76\°=104\°$

4 0

3 years ago

Rectangle EFGH is similar to rectangle JKLM. Which proportion can be used to

Dominik [7]

*See attached picture for the diagrams being referred to

Answer:

C. ⁵/12= ²/x

Step-by-step Explanation:

Given that rectangle EFGH is similar to rectangle JKLM, it means the corresponding sides of both rectangles are similar, and as such the ratios if the corresponding sides of rectangle EFGH and rectangle JKLM would be equal.

Thus, EF/JK = FG/KL

Since, EF = 5; JK = 12; FG = 2; and KL= x, therefore, the proportion to use in finding x would be:

⁵/12= ²/x

6 0

2 years ago

1. Use a piece of wool, thread or chord to measure the circumference of each of the circles found on the last page. To do this j

spayn [35]

Answer:

just doing this for my points!!! lol

Step-by-step explanation:

6 0

2 years ago