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iogann1982 [59]
3 years ago
13

Which statement is true regarding the functions on the graph?

Mathematics
2 answers:
VikaD [51]3 years ago
4 0
Well first I have the see the graph, second, I need to see the functions.
dem82 [27]3 years ago
3 0
Can you show the graph

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The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
satela [25.4K]
Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\  \\ \Rightarrow y-2=-7x \\  \\ \Rightarrow y=-7x+2

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\  \\ \Rightarrow y-1=2(x-4)=2x-8 \\  \\ \Rightarrow y=2x-7

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is  (1, -5)



Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).



Part C:

From part A, we have that p(x) = -7x + 2, given that g(x) = 1 + 1.5^x

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

3 0
3 years ago
X = y - 3
Leviafan [203]
The answer is A. (1, 4), because when the values are substituted in to the equations, you get 1 = 4 - 3 and 1 + 12 = 13, which are both correct. I hope this helps!
3 0
3 years ago
Make d the subject of the formula h=d/3+2
Pani-rosa [81]
Answer: D=3(h-2)

Explanation —>
8 0
2 years ago
What is the value of x?<br><br> 8x−10−4x=−12(12x−20)
madreJ [45]
What is the value of X?

Simplify:
8x - 10 - 4x =   - 12(12x - 20)


Simplify both sides:
8x - 10 - 4x =  - 12(12x -20)

8x +  - 10 +  - 4x  = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x +  - 10 +  - 4x = 144x 240

(8x +  - 4x) + ( -10) =  - 144x + 240 (Combine Like Terms:)

4x +  - 10 =  - 144x + 240

4x - 10 =  - 144x + 240

Add - 144x to both sides:

4x - 10 +  144x =   - 144x + 240 + 144x

148x - 10 = 240


Add 10 to both sides:

148x - 10 + 10 = 240 + 10

148x = 250

Divide both sides by 148

148x/148 = 250/148

x = 125/74


Answer:  x = 125/74 (Decimal: 1.689189)



Hope that helps!!!!




3 0
3 years ago
Round 4,088,432 to the nearest million
olasank [31]

Answer:

4,000,000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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