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)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(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
The expression 1x² + 14x + 40 is a quadratic expression, and the answers in the yellow boxes are 40 and 14
<h3>How to complete the boxes?</h3>
The quadratic expression is given as:
1x² + 14x + 40
This implies that:
a = 1
b = 14
c = 40
Because a quadratic expression is represented as:
ax² + bx + c
The expressions in the yellow boxes are:
a * c and b
So, we have:
a * c = 1 * 40 = 40
b = 14
Hence, the answers in the yellow boxes are 40 and 14
Read more about quadratic expressions at:
brainly.com/question/18797214
#SPJ1
No because they are straight lines, they cannot curve to intersect more than once, think of a capital X.
The answer is the last one y=2.60z+180
Answer:
x = 5
Step-by-step explanation:
0.8x - 0.3 - 0.7x = 0.2
0.8x - 0.7x = 0.2 + 0.3
0.1x = 0.2 + 0.3
0.1x = 0.5
