Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
- 6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
- 12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
<u>Slopes equal:</u>
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
<u>y-intercepts equal:</u>
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
None are correct because angle A is 40 degrees
The answer is the last one !
Answer:
0.28 represents the growth factor
Step-by-step explanation:
Given
Required
What does 0.28 represents
In a function:
b represents the growth factor.
By comparison:
So, this implies that: 0.28 represents the growth factor
The value of the function y = 8.3x for x = 4 is 33.2.
The given function is y = 8.3x and x=4.
We need to evaluate the function rule for the given value y = 8.3x for x = 4.
<h3>What is the function?</h3>
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now, substitute x = 4 in y = 8.3x.
That is, y = 8.3(4)=33.2
Hence, the value of the function y = 8.3x for x = 4 is 33.2.
To learn more about the function visit:
brainly.com/question/21145944.
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