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2 years ago

The graphs below have the same shape. What is the equation of the blue

Mathematics

1 answer:

Drupady [299]2 years ago

4 0

Answer:

Option C. $g(x)=(x+3)^2+1$

Step-by-step explanation:

The complete question in the attached figure

we know that

The equation of the function f(x) is

$f(x)=x^2$

Is a parabola open upward

The vertex is the point (0,0)

The function g(x) have the same shape

The vertex of the function g(x) is the point (-3,1)

The rule of the transformation of f(x) to g(x) is

(0,0) -----> (-3,1)

(x,y) -----> (x-3,y+1)

That means----> The translation is 3 units at left and 1 unit up

therefore

The equation of the function g(x) in vertex form is equal to

$g(x)=(x+3)^2+1$

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maks197457 [2]

For this case, the first thing you should do is observe the solution set.
We have then that the set of solution is given by:
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Therefore, we have:
For (-inf, -4):
x <-4
For [3, inf):
x ≥ 3
Thus, the inequality in the graph is:
x <-4 and x ≥ 3
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2 years ago

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Y = x3 is called a _______ function.

nalin [4]

Answer:

cubic function

Step-by-step explanation:

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It can also be called a degree 3 function

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2 years ago

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lana [24]

<u>Complete Question</u>

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) $\tan(\alpha)=\dfrac{24}{7}$

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

$\tan(\alpha)=\dfrac{Opposite}{Adjacent}$

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

$25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units$

Therefore:

$\tan(\alpha)=\dfrac{24}{7}$

The correct option is A

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2 years ago

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Sholpan [36]

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It takes 36 minutes to manually package 400 candles into boxes for shipment. When an automated packaging system works together w

Fittoniya [83]

Answer:

12 minutes

Step-by-step explanation:

Candles can be manually packed at the rate of ...

... (400 candles)/(36 minutes) = 11 1/9 candles/minute

The two systems together pack candles at the rate of ...

... (400 candles)/(9 minutes) = 44 4/9 candles/minute

Then the machine's packing rate is the difference between the total and the manual rates:

... machine rate = (44 4/9 candles/minute) - (11 1/9 candles/minute)

... = 33 1/3 candles/minute.

At this rate, the machine working alone can pack 400 candles in ...

... (400 candles)/(33 1/3 candles/minute) = (400/(100/3)) minutes

... = 400 × 3/100 minutes = 12 minutes

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2 years ago