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Tju [1.3M]
3 years ago
15

Rked Scon Given that f(x)= x2 - 18 and g(x) = 5x + 19. find (g- 1)(-6), if it exists.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

Since g is a one-one function, its inverse exists.

Let (g^-1)(-6) = t

We have to find t

-5

(g^-1)(-6) = t inplies

-6 = g(t)

-6 = 5t + 19

5t = -25

t = -5

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Anyone know? <br> A. 99 <br> B. 100 <br> C. 121<br> D. Cannot be determined
Verizon [17]

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, \angle A = \angle F, \angle B = \angle G, \angle C = \angle H, \angle D= \angle I, \angle E = \angle J.

By using \angle A = \angle F

So, 100^\circ = \angle 1

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

6 0
3 years ago
If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the hom
Archy [21]

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

3 0
3 years ago
Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
Serjik [45]
I'm so sorry I wish I knew the answer to your question
4 0
2 years ago
Write down the nth term of the sequence 5, 8, 13, 20, 29
amid [387]
Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by  a_n =a_1+(n-1)d


The geometric sequence formula goes by S_n =  \frac{a_1(1-r^n)}{1-r}

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
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Your formula is a_n = (n-1)^2 + 4&#10;&#10;
Where n starts at 2 not 1

8 0
2 years ago
Classify each of the following as rational or irrational:
Gemiola [76]

Answer:

Rational:-5, 2/3, 0.5, sqrt 16

Irrational: sqrt 11, pi

Step-by-step explanation:

A rational number is a number which can be represented as a ratio or fraction and whose decimal is terminating or repeating. This includes all whole numbers positive and negative too.

Ex. -5, 2/3, 0.5, sqrt 16

An irrational number is a number that CANNOT be represented as a ratio or fraction and whose decimal is NOT terminating or repeating. These often include square roots and numbers like pi.

Ex. sqrt 11, pi

7 0
3 years ago
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