Answer:
(0, -3), (-1, 1)
Step-by-step explanation:
The equation can be simplified to a form more helpful for graphing.
Subtract 7:
24x +18 = -6y
We note that all of the coefficients are multiples of 6, so we can divide by -6:
y = -4x -3
This is slope-intercept form, so it tells you that the y-intercept is -3, which means one point on the graph is (0, -3).
The slope is -4, so an x-value in the negative direction will give a more positive y-value. We can choose x=-1 and find y:
y = -4(-1) -3 = 4 -3 = 1
Then another point on the graph is (-1, 1).
Two points on the graph are (0, -3) and (-1, 1).
Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The total volume of the right rectangular prism will be,
Total Volume = 17.6ft × 12.6ft × 10.4ft
= 2306.304 ft³
Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.
Now, the amount of water that this tank will hold till it is a quarter full is,
Amount of water = Total volume /4
= 2306.304ft³ / 4
= 576.576ft³
Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
Learn more about Volume:
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We can solve this in 2 ways
Since a1 = 4
a2 = 4 * (3) = 12 i.e( a1* common ratio)
a3 = 12 * (3) = 36 i.e( a2 * common ratio)
a4 = 36 * (3) = 108 i.e( a3* common ratio)
a5 = 108 * (3) = 324 i.e(a4*common ratio)
and so on
Part D: x= -b/2a
(-1/3, -4/3)
im sorry if this is wrong ;'(
Answer:
x²+2x+3
Step-by-step explanation:
We are to simplify the expression;
5x³+10x²+15x/5x
Factor out 5x from the numerator
= 5x(x²+2x+3)/5x
5x will cancel out both at the top and bottom to have;
x²+2x+3
Factorize
x²+2x+3
Hence the simplified form is x²+2x+3