Depends on the fraction to determine your answer
The answer is 0 < x <span>≤ 7
</span>
First, we know that width = x
Which means that length = x +18
So, the possible equation for the Table's area is
X (X + 18) ≤ 175
X^2 + 18x - 175 <span>≤ </span>0
Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
Since the width couldn't be negative, we can change -25 with 0,
so it become
</span> 0 < x ≤ 7
Answer:
y = 3x + 2; y = -x + 4
Step-by-step explanation:
Slope intercept form is in y = mx + b, where m is the slope and b is the y-intercept. In the first image, 2 is the y-intercept and 3 is the slope, yielding the equation y = 3x + 2.
For the second, 4 is the y-intercept and -1 is the slope, so the answer to the second image is y = -x + 4.
Answer:
a and c
Step-by-step explanation:
The volume (V) of a cuboid is
V = lwh ( l is length, w is width, h is height )
The volume is given as 210 cm³
Check each of the dimensions given to determine which give the correct volume
a
V = 15 × 2 × 7 = 210 ← correct volume
b
V = 14 × 3 × 7 = 294 ← incorrect volume
c
V = 7 × 3 × 10 = 210 ← correct volume
Hence a and c could be the dimensions of the box
The equation of a hyperbola is 
/9 - 
/4 = 1
What are the steps to Hyperbola equation ?
To find the equation of hyperbola, the following steps must be taken. You need to identify;
- The coordinate of the center
- The coordinate of the vertices
- The coordinate of the foci
The general equation of a hyperbola can be expressed as
/
- /
= 1
From the graph, we have the following parameters
a = 3
= 
= 9
b = 2
= 
= 4
The equation of a hyperbola can be expressed as
/9 - /4 = 1
The vertices = V(+/-a,0) = (+/-3,0)
The center = C(0,0)
The focus = F(+/-C, 0)
Where 
= +
C = 
C = 
Focus = F(+/- , 0)
The general equation for asymptote = +/- b/a X
= +/-2/3X
Therefore, the equation of a hyperbola can be expressed as
/9 - /4 = 1
Learn more about hyperbola here: brainly.com/question/3405939
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