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NemiM [27]
2 years ago
7

This question is worth 20 points if someone answers it! ​

Mathematics
1 answer:
Nostrana [21]2 years ago
6 0

The maximum number of tourists in the third week will be maximum in the numberville city.The solution of f(x)=h(x) will be x(5,2).

<h3>What are equations?</h3>

The equation is actually a relationship between the numbers and the variables.

To calculate the number of the tourists in the third week we will put the value 3 in every function:

f(x)=x^2+5x+10=(3)^2+(3\times 3)+10=29\\\\\\g(x)=3^x=3^3=27\\\\\\h(x)=10x=10\times 3=30

So we can see that the function third h(x) numberville city is having a maximum number of tourists.

The solution of f(x)=h(x) will be calculated as:

x^2-3x+10=10x\\\\\\x^2-7x+10=0\\\\\\x^2-5x-2x+10=0\\\\\\x(x-5)-2(x-5)=0\\\\\\x=5,2

Hence the solution of f(x)=h(x) will be x(5,2).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Subtract 6 1/4 - 3 5/8 what is it ???
Snowcat [4.5K]

Answer:

21/8

Step-by-step explanation:

Simplify the following:

6 + 1/4 - (3 + 5/8)

Put 3 + 5/8 over the common denominator 8. 3 + 5/8 = (8×3)/8 + 5/8:

6 + 1/4 - (8×3)/8 + 5/8

8×3 = 24:

6 + 1/4 - (24/8 + 5/8)

24/8 + 5/8 = (24 + 5)/8:

6 + 1/4 - (24 + 5)/8

24 + 5 = 29:

6 + 1/4 - 29/8

Put 6 + 1/4 - 29/8 over the common denominator 8. 6 + 1/4 - 29/8 = (8×6)/8 + 2/8 - 29/8:

(8×6)/8 + 2/8 - 29/8

8×6 = 48:

48/8 + 2/8 - 29/8

48/8 + 2/8 - 29/8 = (48 + 2 - 29)/8:

(48 + 2 - 29)/8

| 1 |  

| 4 | 8

+ | | 2

| 5 | 0:

(50 - 29)/8

| 4 | 10

| 5 | 0

- | 2 | 9

| 2 | 1:

Answer:  21/8

7 0
3 years ago
In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?
kvv77 [185]

Answer:

Its B

Step-by-step explanation:

the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4

6 0
3 years ago
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Schach [20]

Answer:

The answer is

\huge y = 4x - 22

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10

We have the final answer as

y = 4x - 22

Hope this helps you

8 0
3 years ago
The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States
marta [7]

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).

4 0
3 years ago
Find all complex solutions of 2x^2-x+8=0
kumpel [21]

Answer:

x = 1 − √63i / 4 , x = 1 + √63i / 4

Step-by-step explanation:

Let's use the formula −b±√b2−(4ac) / 2⋅a

=  ax^2+bx+c=0

= 2x^2-x+8=0

Let's substitute 2 for a, −1 for b, and 8 for c in the formula of quadratic equation.

x = −1±√−12−(4⋅2⋅8) / 2⋅2

x = 1±√1−64 / 4

x = 1±√−63 / 4

x = 1±√63⋅−1 / 4

x = 1±√63√−1 / 4

x = {1−√63i / 4 , 1±√63i / 4}

7 0
3 years ago
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