Answer: The three consecutive odd integers are: -15, -13, and -11 .
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Explanation:
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x + (x + 2) + (x + 4) = -39 ;
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in which "x" is one of the integers,
"(x + 2)" is the next consecutive odd integer;
"(x + 4)" is the third consecutive odd integer.
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By solving for "x", we can solve for each of three (3) consecutive odd integers.
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x + (x + 2) + (x + 4) = -39 ;
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1x + 1x + 2 + 1x+ 4 = -39 ;
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3x + 6 = -39 ;
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Subtract "6" from EACH side of the equation:
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3x + 6 − 6 = -39 <span>− 6 ;
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to get: 3x = -45 ;
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Divide EACH side of the equation by "3" ;
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3x / 3 = -45 / 3 ;
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to get: x = -15 ;
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x + 2 = -15 + 2 = -13 ;
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x + 4 = -15 + 4 = -11 .
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Are: -15, -13, and -11 ; Consecutive odd integers? YES!
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Does: -15 + (-13) + (-11) =? = -39 ??
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-15 </span>− 13 <span>− 11 = ? 39 ?? YES!
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Answer: The three consecutive odd integers are: -15, -13, and -11.
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Set up the equation:
4(8.75x-2)=97
35x-8 =97
35x =97+8
35x =105
x. =3
The value of x is 3.
<h3>
Answers:</h3>
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
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Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
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Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6
Answer: To solve this you need to use the vertex form of the equation of a parabola which is y=a(x−h)2+k , where (h,k) are the coordinates of the vertex.
Step-by-step explanation:
Answer:
the answer is -i
Step-by-step explanation:
