Answer:
there are no extraneous solutions to the equation
Step-by-step explanation:
Given
= x + 2 ( square both sides )
8x + 9 = (x + 2)² ← expand
8x + 9 = x² + 4x + 4 ( subtract 8x + 9 from both sides )
0 = x² - 4x - 5 ← in standard form
0 = (x - 5)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 5 : 
= 
= 7
right side = 5 + 2 = 7
left side = right side ⇒ x = 5 is a solution
x = - 1 : 
= 
= 1
right side = - 1 + 2 = 1
left side = right side ⇒ x = - 1 is a solution
There are no extraneous solutions
Answer:
A) 15.8
Step-by-step explanation:
10/8 = .80
15+ .80 = 15.8
Answer:
17
Step-by-step explanation:
The probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixt
<h3>What is probability?</h3>
Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = Expected/Total
If the spinner is spinned, the total outcome is 1/6
Pr(greater than 4) = 2/6 = 1/3
Pr(shaded section) = 3/6 = 1/2
Pr(number greater than 4 or on a shaded section) = 1/3 + 1/2
Pr(number greater than 4 or on a shaded section) = 5/6
Hence the probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixths
Learn more on probability here: brainly.com/question/25870256
The linear rule should look like this y=a*x+b
As the function graph goes through the (0,0) point, the equation 0=a*0+b <=> b=0 must be true.
Now we only need to find a, using one of the points given. With (-4, 16):
16=-4*a <=> a=16/-4 <=> a= -4
So the rule looks the following way:
f(x)= -4*x
