The table of solutions for the given equation (y = -2x²) include the following:
<u>x y_</u>
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.
<h3>How to determine the solution?</h3>
In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;
At x = -2, the value of point y is as follows:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
At x = -1, the value of point y is as follows:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
At x = 0, the value of point y is as follows:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
At x = 1, the value of point y is as follows:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
At x = 2, the value of point y is as follows:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.
Read more on graphs here: brainly.com/question/4546414
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Answer:
Option A
Step-by-step explanation:
Sarah took 4 days to write a paper.
She wrote 12 pages per day, so total number of pages she wrote in 4 days = 12 × 4
= 48 pages
On day 1, she wrote number of pages = 12
On day 2, she wrote number of pages = 15
On day 3, she wrote number of pages = 9
On day 4, she wrote number of pages = P
She wrote total number pages in 4 days = 12 + 15 + 9 + P
= 36 + P
Therefore, P + 36 = 48
P = 48 - 36
P = 12
She wrote 12 pages on day 4.
Option A is the answer.
Answer:
4000 grams
Step-by-step explanation:
Volumes of similar figures are proportional to the cube of their linear dimensions. Areas are proportional to the squares of their linear dimensions.
Given an area ratio, the ratio of linear dimensions will be the square root of it, or the 1/2 power of the ratio of areas. Then the volume ratio will be the cube of the ratio of linear dimensions or ...
volume ratio = ((area ratio)^(1/2))^3 = (area ratio)^(3/2)
Here, the mass of the smaller object will be proportional to its volume, which, in turn, is proportional to the mass of the larger object times the 3/2 power of the area ratio. So, the mass of object A is ...
((28 cm^2)/(40.32 cm^2))^(3/2) × (6912 grams) = 4000 grams
Answer:
x = -5 or 1/2
Step-by-step explanation:
From the question,
3x²+12x-7 = x²+3x-2
Collect like terms
3x²-x²+12x-3x-7+2 = 0
2x²+9x-5 = 0
Using factorization method to solve the quadratic equation
2x²+10x-x-5 = 0
(2x²+10x)-(x+5) = 0
2x(x+5)-1(x+5) = 0
(x+5)(2x-1) = 0
Either,
x+5 = 0
x = -5
or,
2x-1 = 0
2x = 1
x = 1/2.
Therefore,
x = -5 or 1/2
Answer: area= 130.88 m^2
perimeter= 42.08 m
I hope that helps, and I apologize in advance if it’s not right.
