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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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Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three
Rom4ik [11]

Answer:

Simon's Age = 47

Marcie's Age = 11

Step-by-step explanation:

<em>The question is to find Simon's age and Marcie's age.</em>

<em />

Let Simon's age be x and Marcie's age be y

<u>Simon is 3 years more than 4 times marcie, so we can write:</u>

x = 4y + 3

Also,

<u>Sum of their ages is 58, so we can write:</u>

x + y = 58

or x = 58 - y

Now, we substitute this into 1st equation and solve for y first:

x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=\frac{55}{5}\\y=11

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

3 0
3 years ago
Write an exponential function to model the following situation
Dominik [7]

Answer:

y = 140000(1.04)^{x}; 262 000

Step-by-step explanation:

The general formula for an exponential function is

y = a(b)^{x}

a = 140 000; b = 1.04; x = 16

y = 140000(1.04)^{x}

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.

7 0
3 years ago
MIDDLE SCHOOL MATH DONT ANSWER IF YOU DONT KNO-<br> WILL GIVE BRAINLIEST
Juli2301 [7.4K]

Answer:

Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>

Step-by-step explanation:

1. Find circumference with the Formula <u>C=πd</u>

C=3.14 x 5.6

<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>

2. Radius is Always half of the Diameter.

5.6/2 = 2.8

<em><u>2.8 is your radius.</u></em>

3. If you want to check you work try the formula C=2πr to see if things checks out.

C=2 x 3.14 x 2.8

<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>

<u><em /></u>

<u><em>Hope this Helps!</em></u>

3 0
2 years ago
Please help me find the value of x and show and explain work
riadik2000 [5.3K]
2x + 3 = 9      Move all terms not containing x to the right side of the equation.

2x = 6             Divide each term by 2 and simplify.

x=3
5 0
3 years ago
Read 2 more answers
7.4=n-2.6 could you plz solve this or give me some good sites that could solve it for me oh and plz show the steps to thanks
lisov135 [29]
Please try to follow this closely.
Ready ?  OK, here goes:

              <em> Add 2.6 to each side of the equation.</em>
6 0
3 years ago
Read 2 more answers
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