Find the solution set:
2 answers:
Answer:
x = - 1, x =
Step-by-step explanation:
Given
9x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 9 × - 5 = - 45 and sum = + 4
the factors are + 9 and - 5
Use these factors to split the x- term
9x² + 9x - 5x - 5 = 0 ( factor the first/second and third/fourth terms )
9x(x + 1) - 5(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(9x - 5) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
9x - 5 = 0 ⇒ 9x = 5 ⇒ x =
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Answer:
6 cm
Step-by-step explanation:
The area of a triangle is , where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.
Let's plug in these values.
Now, let's solve this algebraically.
Step 1: Multiply both sides by 2.
Step 2: Divide both sides by 4.
Step 3: Check if solution is correct.
Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The average rate of change of function describes the average rate at which y-value ( or f(x)) is changing with respect to changing x-value.
The average rate of change=
In this exaple is x1=4 and x2=7 and we will find y1 and y2:
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally:
Answer: The average rate of change for f(x) from x=4 to x=7 is 15.
The average rate of change=
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally:
Answer: The average rate of change for f(x) from x=4 to x=7 is 15.