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alisha [4.7K]
2 years ago
12

Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

Mathematics
1 answer:
8_murik_8 [283]2 years ago
4 0

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

#SPJ1

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G(x) = x3 + 6x2 + 12x + 8
Sonbull [250]

The function’s value when x = −1 will be C. g(−1) = 1.

<h3>How to calculate the value of the function?</h3>

It should be noted that that a function is simply used to show the relationship that exists between the variables.

There's a 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries.

The. function is x³ + 6x² + 12x + 8.

= x³ + 6x² + 12x + 8.

= (-1)³ + 6(-1)² + 12(-1) + 8

= -1 + 6 - 12 + 8

= 1

Therefore, the correct option is C.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

3 0
1 year ago
Help im in k12 9th grade
dem82 [27]

When factoring find 2 numbers that when added together equal the middle value and when multiplied equal the last value.


min this problem the middle value is 7 and the last value is 10


5 + 2 = 7 and 5 x 2 = 10


The answer is: (x+2)(x+5)

4 0
2 years ago
Read 2 more answers
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but
Sonja [21]

Answer:

24 miles

Step-by-step explanation:

In order to calculate Judy's estimation, we would simply have to multiply the actual distance in kilometers of the tour by the number of miles that Judy believes are in a single mile. This would give us Judy's estimation for how long the tour would be in miles.

40 km. * 0.6 miles = 24 miles

Finally, we can see that Judy's estimation would be that the tour is 24 miles long. Using Judy's believed conversion rate.

8 0
3 years ago
What is the scale factor of a pair of figures whose preimage has coordinates (-1, 1) (3,0) and (1, -4) and whose image has coord
ludmilkaskok [199]

Answer:

0.5

Step-by-step explanation:

6 0
3 years ago
Catherine sells bags of popcorn at the theatre. The bags come in three sizes.
Nookie1986 [14]

Answer:

The answer is the most reasonable one which I think large is

Step-by-step explanation:

Because it's only 100 grams more and $2 bucks seems like a good deal

6 0
3 years ago
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