Solve for all possible values of x. square root of the quantity x minus 9 end quantity plus 4 equals 8
a) x = −5
b) x = 7
c) x = 13
d)x = 25
Answers
Answer:
Option d) x = 25
Step-by-step explanation:
we have
Solve for x
Subtract 4 both sides
squared both sides
Adds 9 both sides
Verify
1) For x=25
----> is true
therefore
x=25 is a solution
2) For x=-7
The radicand cannot be a negative number
therefore
x=-7 is not a solution
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Uh, I need help with this question (10 points)
Is 2:3 abd 4:6 equivalent ratios
Answers
-3 + y = 0
Answers
f(x) = x3 + x2 − 4x − 4
f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8
Answers
f(x) = (x-2)(x+1)(x-2)
Multiplying the binomials would give us the correct answer. Multiplying the first two,
f(x) = (x2 - x - 2)(x-2)
Then multiplying the result with other binomial,
f(x) = x3 + x2 - 4x - 4
Using the Factor Theorem, the function that best represents the graph is given by:
f(x) = x³ + x² - 4x - 4.
What is the Factor Theorem?
The Factor Theorem states that a polynomial function with roots is given by:
In which a is the leading coefficient
In this problem, we consider a = 1, and the roots are the x-intercepts, hence:
f(x) = (x + 2)(x + 1)(x - 2)
f(x) = (x² + 3x + 2)(x - 2)
f(x) = x³ + x² - 4x - 4.
More can be learned about the Factor Theorem at brainly.com/question/24380382
#SPJ5
Answers
Answer:the number of sixth graders is 28
Step-by-step explanation:
Total number of students in the school band is 70. 40% are sixth graders. 20% are seventh graders and the rest are eighth graders. This means that the percentage of eighth graders is 100 - (40+20) = 100 - 60 = 40%
This means that the number of sixth graders would be 40% of the total number of students in the school band. It becomes
40/100 × 70 = 0.4×70 = 28
a. 760
b. 780
c. 800
d. 860
Answers
The answer is:
a. 760
Answers
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.