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KengaRu [80]
3 years ago
11

What is the domain of the given function?

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

The domain of the given function is

{x | x= -4,-1, 3, 5, 6}

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I need help finding the slope, identifying the initial value and writing An equation for a linear function and finding the X ans
pishuonlain [190]

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

8 0
3 years ago
Given the function f(x)=x2+2x+1, find:<br><br> f( (2a−3)/5 ) =<br><br> Show working please!
Rina8888 [55]
<h3>Given</h3>
  • f(x) = x² + 2x + 1
<h3>Find</h3>
  • f((2a-3)/5)
<h3>Solution</h3>

It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.

... f(x) = (x +1)²

... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²

... = (2/5(a+1))²

... f((2a-3)/5) = (4/25)(a² +2a +1)

7 0
3 years ago
A. 0<br><br><br> B. 1<br><br><br> C. 2<br><br><br> D. 3
zloy xaker [14]
-19 to -15 would be a positive 4 difference

19 to 15 = 4 this would be a -4 difference

3 to 7 is a positive 4 difference

-3 to 7 is a difference of 10

so there is 1 with a -4 difference
 answer is B.


6 0
2 years ago
A box office sold 147,523 tickets for an auto race.
Marysya12 [62]

Answer:

78,799 children's tickets

Step-by-step explanation:

147,523 total tickets, 68,724 adult tickets

Subtract to find amount of children's tickets:

147,523-68,724 = 78,799

5 0
3 years ago
UwU
aalyn [17]
3.141592653589793238462643383279 502884197169399375105820974944 5923078164062862089986280348253421170679
7 0
2 years ago
Read 2 more answers
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