Answer:
x = 2.
Step-by-step explanation:
Solve for x:
0.3 (4 - x) = x - 1.4
Expand out terms of the left hand side:
1.2 - 0.3 x = x - 1.4
Subtract x from both sides:
1.2 + (-0.3 x - x) = (x - x) - 1.4
-0.3 x - x = -1.3 x:
-1.3 x + 1.2 = (x - x) - 1.4
x - x = 0:
1.2 - 1.3 x = -1.4
Subtract 1.2` from both sides:
(1.2 - 1.2) - 1.3 x = -1.2 - 1.4
1.2 - 1.2 = 0:
-1.3 x = -1.2 - 1.4
-1.2 - 1.4 = -2.6:
-1.3 x = -2.6
Divide both sides of -1.3 x = -2.6 by -1.3:
(-1.3 x)/(-1.3) = (-2.6)/(-1.3)
(-1.3)/(-1.3) = 1:
x = (-2.6)/(-1.3)
(-2.6)/(-1.3) = 2.:
Answer: x = 2.
Answer:
210 cm³
Step-by-step explanation:
The area of the triangular side is base*half height, which is 7*3=21.
To get the volume, multiply by the depth: 21*10 = 210 cm³
Answer:
77 litres
Step-by-step explanation:
1L = 0.26 gal
0.26 gal = 1L
Divide both sides by 0.26
1 gal = 1 ➗ 0.26
1 gal = 3.85 L
Now multiply both sides by 20
20 gal = 3.85 × 20
20 gallons = 77 litres
I hope this was helpful, please mark as brainliest
The graph of the function

is parabola with branches going down in the negative direction of y-axis.
The vertex of parabola has coordinates:

Then you can conclude that all x are possible, that means that the dimain is

and the maximum value of y is at the vertex, then the range is
![(-\infty,6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C6%5D)
.The function is increasing for x<-2 and decreasing for x>-2 (since vertex is the maximum point).
When x=0, y=2.
Hence,
<span>The domain is {x|x ≤ –2} - false.
</span>
<span>The range is {y|y ≤ 6} - true.
</span>
<span>The function is increasing over the interval (–∞ , –2) - true.
</span>
<span>The function is decreasing over the interval (−4, ∞) - false.
</span>
<span>The function has a positive y-intercept - true.</span>
If x is the age of S
And y is the age of K
So we have x=y+3
And the second equation is x-3 + 2/3)y = 12
We have to solve the system
x-y=3
x+2/3y=15
we find x=10.2 and y=7.2
<span>so Katie is 7 </span>