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skad [1K]
3 years ago
10

A. 25(-5) = ? b. -15(-5) = ?

Mathematics
1 answer:
Ronch [10]3 years ago
7 0
A) -125
b: 75
I hope its help :-D
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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
What is the area of rectangle ABCD?
xz_007 [3.2K]

Answer:

240

Step-by-step explanation:

The length is 20 and the width is 12 so you just multiply 20 and 12 together which is 240

5 0
3 years ago
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a man drives for awhile at 45 mph. Realizing he is late ,he increases his speed to 60 mph and completes his 405 mile trip in 8 h
Harlamova29_29 [7]
By definition, we have the following equation:
 d = v * t
 Where,
 d = Distance
 v = rate
 t = time

 The total distance traveled will be:
 45t + 60 (8 - t) = 405
 Solving for the time we have:
 t = 5 s
 Answer:
 
he drives at 45 mph for 5 s
3 0
3 years ago
True or False cos^2x=(1-cos2x)/2
love history [14]

False

(My answer on Apex was correct)

5 0
3 years ago
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Pls hlp&lt;3 Given ΔBCD ~ ΔEFG. Find the length of BC.
Tcecarenko [31]

Answer:

120

Step-by-step explanation:

180-35-25=120

or

35+25=60

180-60=120

7 0
3 years ago
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