-2x(x-3) = -11
-2x(x) -2x(-3) = -11
-2x² + 6x = - 11
-2x² + 6x + 11 = 0
Let us use the quadratic formula in solving for the value of x.
-2x² + 6x + 11 = 0
a = -2 ; b = 6 ; c = 11
x = (-b <u>+</u> √b² -4ac) ÷ 2a
x = (-6 + √6² - 4(-2)(11)) ÷ 2(-2)
x = (-6 + √36 + 88) ÷ -4
x = (-6 + √124) ÷ -4
x = (-6 + 11.14) ÷ -4
x = 5.14 ÷ -4
x = -1.285 or -1.29
x = (-6 - 11.14) ÷ -4
x = -17.14 ÷ -4
x = 4.285 or 4.29
Answer:
7 guest will not be served.
Step-by-step explanation:
Answer:
x = 23.999996
Step-by-step explanation:
Let's solve your equation step-by-step.
64−x+52=128x
Solve Exponent.
64−x+52=128x
log(64−x+52)=log(128x)(Take log of both sides)
(−x+52)*(log(64))=x*(log(128))
−x+52=(
log(128)
log(64)
)*(x)
−x+52=1.166667*x
−x+52=1.166667x(Simplify both sides of the equation)
−x+52−1.166667x=1.166667x−1.166667x(Subtract 1.166667x from both sides)
−2.166667x+52=0
−2.166667x+52−52=0−52(Subtract 52 from both sides)
−2.166667x=−52
−2.166667x
−2.166667
=
−52
−2.166667
(Divide both sides by -2.166667)
x=23.999996
Sorry is this is wrong, did it in a hurry :(
Answer:
D is equivalent to the expression.
Step-by-step explanation:
The expression that is given equals 2.8, or 2.8x.
A. This expression equals 1.6x, and 1.6x is not equivalent to 2.8x
B. 0.3x + 3.1 = 3.4x. This doesn't have the answer of 2.8x.
C. 1.3 - 0.3x = 1 or x.
D. 3.1 - 0.3x = 2.8x. D is the answer.
Note that
25 + 36 = 61.
The partial sums of 61 are
1, 3, 6, 10, 15, 21, 28, 36, 45, 55.
These numbers arise in partial sums of 61.
4 = 1 + 3
6 is a partial sum
11 = 1 +10
31 = 10 + 21
36 is a partial sum
41 cannot be obtained from partial sums.
56 = 28 + 28
61 is a partial sum
Test the given answers.
A) 11,31,61 qualify as partial sums. It is correct.
B) 11,31,61 qualify as partial sums. It is correct.
C) 11 and 61 qualify as partial sums, but 41 does not. It is incorrect.
D) 36,56,61 qualify as partial sums. It is correct.
Answer:
C) is incorrect.