We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.
The minimum value for g(x)=x² - 10x + 16 is -9
<h3>How to determine the minimum value?</h3>
The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
Read more about quadratic functions at:
brainly.com/question/7784687
Answer:
x = 3
y = -5
Step-by-step explanation:
5x+2y= 5 equation 1
3х - у = 14 equation 2
using equation 2 we have:
3x - 14 = y equation 3
using equation 3 in equation 1 we have:
5x + 2(3x -14) = 5
5x + 6x -28 = 5
11x = 5+28
11x = 33
x =33/11
x = 3
using equation 3 we have:
3(3) - 14 = y
y =9-14
y = -5
Answer:
For pages the answer 17/4 or 4 and 1/4
For Minutes the answer is 4.5 or 4 and 1/2
Step-by-step explanation:
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Fraction in simplist form: 4/25
Percent: 16%