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ELEN [110]
3 years ago
7

When two variables have an inverse relationship, the slope is?

Mathematics
1 answer:
Temka [501]3 years ago
6 0
When two variables have an inverse relationship, the slope is negatively correlated.
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The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66 square inches, what are the dimens
Nadusha1986 [10]

to solve  for the dimensions (x+7)(x+2)=66,

we can first use the foiling method to simplify the left side.

x^2 + 2x + 7x + 14 = 66

x^2 + 9x + 14 = 66

now, subtract 66 from both sides.

x^2 + 9x - 52 = 0

now, split this into two parentheses.

(x + 13)(x - 4)

since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.

7 0
2 years ago
Find the parabola whose minimum is at (−12,−2)(−12,−2) rather than the point given in the book. the parabola's equation is y=x2+
Hoochie [10]
The vertex form of the equation of a parabola is given by

y-k=a(x-h)^2

where (h, k) is the vertex of the parabola.

Given that the vertex of the parabola is (-12, -2), the equation of the parabola is given by

y-(-2)=a(x-(-12))^2 \\  \\ y+2=a(x+12)^2=a(x^2+24x+144)=ax^2+24ax+144a \\  \\ y=ax^2+24ax+114a-2 \\  \\ y=x^2+24x+ \frac{114a-2}{a}

For a = 1,

y=x^2+24x+112

<span>The parabola whose minimum is at (−12,−2) is given by the equation y=x^2+ax+b, where a = 24 and b = 112.</span>
8 0
3 years ago
Find the lowest common denominator (LCD) of<br> these fractions.<br> 3<br> 5<br> 8x<br> 18x
padilas [110]

Answer:

72x

Step-by-step explanation:

8x = 2 * 2 * 2 * x   = 2³ * x

18x = 2 * 3 * 3 * x = 2 * 3² * x

LCD = 2³ * 3² * x = 8 * 9 * x = 72x

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2 years ago
$ 14.95 dinner , 15 % tip
kkurt [141]
$14.95+15%=$17.19 so the tip is $2.24
5 0
3 years ago
Kevin works at an electronics store. He is paid $500 every week plus a 4% commission on anything he sells. Select TWO statements
Travka [436]

Answer:

b)   (d

Step-by-step explanation:

no words

6 0
3 years ago
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