Answer:
y = -3/2x + 5/2
Step-by-step explanation:
slope intercept form is y = mx + b
so we have to solve the equation for y
2y = 5 - 3x
y = 5/2 -3/2x
or
y = -3/2x + 5/2
Answer:
12.36 ft^3
Step-by-step explanation:
Volume of cylinder=πr²*h
3.14*1.5²=7.065
7.065*1.75=12.36ft^3
Answer:
C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number
Step-by-step explanation:
Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.
In the question above, the given statement represents option C is correct.
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
Answer:
40 hollow blocks
Step-by-step explanation:
12/3= 4 hollow blocks per hour
10x4=40 hollow blocks in 10 hours
