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adoni [48]
3 years ago
11

Solve for y. -6y=-18 Simplify your answer as much as possible.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

y=3

Step-by-step explanation:

Isolate the unknown variable:

-6y/-6=-18/-6

Since both the denominator and numerator are negative, the result will be positive:

y=3

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Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.
alexandr402 [8]
To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}

and yes, the domain for the range 0 ⩽ x <span>⩽ 2, let's get instead the "range" of the original function,

</span>\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}&#10;\\\\\\&#10;x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\&#10;-------------------------------\\\\&#10;\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}<span>
</span>
8 0
3 years ago
#1 what is 8.47+5.079 #2 what is 435,647 in expanded form
alexandr402 [8]
#1 is 13. 549
#2 is 400,000+30,000+5,000+600+40+7
5 0
3 years ago
The height y (in feet) of a ball thrown by a child is
KengaRu [80]
I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet

For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.

For b), we find the vertex of y = -1/16x^2 + 4x + 3
                               y = -1/16x^2 + 4x + 3
                               y = -1/16(x^2 - 64x) + 3
                               y = -1/16(x^2 - 64x + 1024 - 1024) + 3
                               y = -1/16((x-32)^2 - 1024) + 3
                               y = -1/16(x-32)^2 + 64 + 3
                               y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.

For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
                     x = [ -b ± √b^2 - 4ac ] / (2a)<span>
                     x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))   
                     x = -0.741, 64.741
Only the positive solution, so 64.741 feet         </span>

3 0
3 years ago
Read 2 more answers
Can someone help me with this question its overdue
Kryger [21]

Answer:

????????????????? where is the question.?

8 0
2 years ago
Factor each completely.
Natasha_Volkova [10]

HI I JUST DID THE FIRST ONE . SORRY I CAN'T ANSWER THE 5TH AND6th IT'S HARD

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