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3 years ago

Pleaseee help with this

Mathematics

1 answer:

KiRa [710]3 years ago

8 0

Answer:

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

Step-by-step explanation:

When x is replaced by x - h, it results in a horizontal translation of h units.

When y is replaced by y - k, it results in a vertical translation of k units.

f(x) = x^2 is the original function.

Rewrite it as

y = x^2

To translate it 1 unit left, you need h = -1.

x - h = x - (-1) = x + 1. Replace x with x + 1.

Now you have y = (x + 1)^2.

To translate 3 units up, you have k = 3.

y - k = y - 3. Replace y with y - 3.

y - 3 = (x + 1)^2

Solve for y.

y = (x + 1)^2 + 3

Replace y with g(x).

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

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IQ test if a+b=76 a-b=38 a divided by b

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3 years ago

Regina has a bag of marbles that contains 3 blue marbles, 4 red marbles, and 5 yellow marbles. She draws one marble, then replac

iVinArrow [24]

Answer:

Possible outcomes=12

$P(\text{Blue marble first})=\frac{1}{4}$

$P(\text{Yellow marble})=\frac{5}{12}$

$P(\text{ Blue then yellow})=\frac{5}{48}$

Step-by-step explanation:

We can see these two events are independent as Regina replaced marble after drawing one marble.

We can find possible outcomes by adding number of blue, red and yellow marbles.

$\text{Possible outcomes}=3+4+5=12$

Let us find probability of getting a blue marble on first draw.

$P(\text{Blue marble})=\frac{3}{(3+4+5)} =\frac{3}{12} =\frac{1}{4}$

Now we will find probability of getting yellow marble.

$P(\text{Yellow marble})=\frac{5}{(3+4+5)} =\frac{5}{12}$

We can find probability of getting a blue marble and then yellow marble by multiplying both probabilities.

$P(\text{ Blue then yellow})=\frac{1}{4}* \frac{5}{12} =\frac{5}{48}$

Therefore, probability of getting a blue marble and then yellow marble is $\frac{5}{48}$ .

6 0

4 years ago

Read 2 more answers

X.x to the 2nd power =36

Bogdan [553]

Answer:

x = 3

Step-by-step explanation:

$2x^{2}$ = 36

$\sqrt{2x^{2}}$ = $\sqrt{36}$

2x = 6

$\frac{2x}{2}$ = $\frac{6}{2}$

x = 3

hope this helps!

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3 years ago

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Tpy6a [65]

It's the first one because at Jefferson middle there are 24 students to 1 teacher and all you know about Hamilton middle is 12 teachers to 312 students
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3 years ago

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FrozenT [24]

Answer:

$g(n) = \frac{11}{3} + \frac{5n}{3}$ or g(n) = (11/3) + (5/3)n

Step-by-step explanation:

Equation: $3m - 5n = 11$

To write a formula for g(n) in terms of n, we have to get m seperately.

$3m - 5n = 11$ , add 5n in both sides

$3m - 5n + 5n = 11 + 5n$ , now add

$3m = 11 + 5n$ , now divide both sides by 3

$\frac{3m}{3} = \frac{11 + 5n}{3}$

$m = \frac{11}{3} + \frac{5n}{3}$

Now, replace m with g(n)

$g(n) = m$

$g(n) = \frac{11}{3} + \frac{5n}{3}$

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3 years ago