Answer:
a=-1.2
Step-by-step explanation:
5x-10=3x+a=12
let's first find x:
5x-10=12
add 10 to both sides:
5x=22
divide both sides by 5:
x=4.4
now that we know what x is, we can plug it back into the equation to find a:
3*4.4+a=12
first, simplify both sides:
13.2+a=12
then, subtract 13.2 from both sides:
and our answer is: a=-1.2
Since 9 is 3², each digit in base nine takes two digits in base 3.
2₉ = 02₃
6₉ = 20₃
7₉ = 21₃
1₉ = 01₃
Putting it together
2671₉ = 2202101₃
268.08
V=4/3(pi)r(cubed)
Plug and chug —> the volume of this sphere is about(squiggly equality sign) 268.08 feet
Answer:
x= 1, x= 4, and x= -3
Step-by-step explanation:
Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.
Notice in particular that x = 1 is a root (makes f(1) = 0):
So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.
As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: 
This is now a quadratic expression for which we can find its factor form:
From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.
Mark these values on the number line as requested.
Answer: A, C, and E
Step-by-step explanation:
Hi, to answer this question we have to analyze the function given:
C(b) = 2.75b + 10
Where:
- Independent variable: b (number of books)
- Input = b
- Output = C = annual cost
- Dependent variable = C (depends on b, the independent variable)
So:
A. The number of books purchased is the independent variable. TRUE
B. The input is the yearly cost. (FALSE, the input is the number of books )
C. The total yearly cost depends on the number of books purchased. TRUE
D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number
of books.
E. The output is the yearly cost.TRUE
