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JulijaS [17]
3 years ago
12

Apply the distributive property to factor out the greatest common factor 21e+5

Mathematics
1 answer:
san4es73 [151]3 years ago
5 0
21 +5 = 26 hope i helped :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
Last year, the gym membership fee was $60. This year the fee is $48. By what percentage was the membership fee reduced​
dexar [7]
I think I went down by 29 dollars and 76 cent
5 0
3 years ago
Is 45 divisible by 4
IrinaK [193]

Answer:

No

Step-by-step explanation:

45 divided by 4 is 11 remaining 1.

If it were divisible, there would be no remainder.

8 0
3 years ago
Dominik opened a savings account that has a 2.9% annual interest rate, compounded
Aleksandr-060686 [28]

Answer:

6000.29 is the answers

5 0
3 years ago
A fish swims at a rate of 8 feet per second. How far can the fish swim in 23<br> seconds?
Norma-Jean [14]

Answer:

8(23) so 184

Step-by-step explanation:

4 0
3 years ago
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