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PilotLPTM [1.2K]
2 years ago
10

If f(x) = 3^x + 10 and g(x) = 2x − 4, find (ƒ+g)(x)

Mathematics
1 answer:
galina1969 [7]2 years ago
6 0

Answer:

3^x+12x-4

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) = 3^x + 10x + 2x - 4 = 3^x + 12x - 4

You might be interested in
Given a sphere with a radius of 3cm, find its volume to the nearest whole number.
Travka [436]

Answer:

V≈113.1cm³  radius = 3 cm

Step-by-step explanation:

5 0
2 years ago
HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Fed [463]

Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².

<h3>How to calculate the area of a regular polygon?</h3>

Mathematically, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

<u>Where:</u>

  • n is the number of sides.
  • s is the side length.
  • a is the apothem.

<u>Note:</u> The apothem of a regular polygon is half the length of one side.

Therefore, Length = 2 × 2 = 4 meter.

Substituting the parameters into the formula, we have;

Area = (6 × 4 × 2)/2

Area = 48/2

Area = 24 m².

Read more on polygon here: brainly.com/question/16691874

#SPJ1

4 0
2 years ago
This is for algebra 2 can someone tell me if I’m right and can someone explain how do you get a= ?
algol13

Answers:

a = 2

h = 3

k = -3

You have the correct h and k values. Nice work so far.

==========================================================

Explanation:

(h,k) is the vertex. So (h,k) = (3,-3) meaning h = 3 and k = -3

To get the value of 'a', we need to plug in some point on the red graph. Each point is of the form (x,y). We can pick any point we want that isn't the vertex.

Let's pick (0,3) which is the y intercept. I'm picking this because 0 is an easy number to work with

------------

y = a|x-h| + k

y = a|x-3| + (-3) .... plug in the h,k values

y = a|x-3| - 3

3 = a|0-3| - 3 .... plug in (x,y) = (0,3)

3 = a|-3| - 3

3 = a*3 - 3

3 = 3a - 3

3a-3 = 3

3a = 3+3 ... adding 3 to both sides

3a = 6

a = 6/3 ... divide both sides by 3

a = 2

The value a = 2 indicates that the parent function y = |x| has been stretched vertically by a factor of 2. So it is twice as tall as before. Then it has been shifted to place the vertex at (3,-3) as shown in the graph.

------------

You may be wondering why you can't pick on the vertex for (x,y)

Let's see what happens if we use (x,y) = (3,-3)

y = a|x-3| - 3

-3 = a|3-3| - 3 ... plug in (x,y) = (3,-3)

-3 = a|0| - 3 ... uh oh, we get 0 here

-3 = a*0 - 3

-3 = 0 - 3

-3 = -3

We get a true statement, which is nice, but it doesn't tell us anything about what the value of 'a' is. That 'a' term goes away entirely. So I avoided using x = 3 to prevent x-3 from being 0.

4 0
3 years ago
2, -6, 18, __, 162, __, ...​
Semmy [17]

Answer:

-54, 162, -486

Step-by-step explanation:

You multiply the number in front by -3.

2*-3=-6

-6*-3=18

18*-3=-54

-54*-3=162

162*-3=-486

-Please mark as brainliest!-

-Hope this helps!-

-Good Luck!-

7 0
3 years ago
I’ll mark brainliest
enyata [817]

Answer:

\text{A. }y=1.30x+1.50

Step-by-step explanation:

The two ringtones will cost her a total of 0.75\cdot 2=1.50 and is a fixed amount. The relationship between the cost and number of songs only is y=1.30x and therefore the answer is \boxed{\text{A. }y=1.30x+1.50}. You can also directly find the answer by finding the y-intercept (in this case 1.50), as no other answer choices include the term 1.50, so A must be the correct answer.

6 0
3 years ago
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