When 18 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution.
2 answers:
Answer: x = -3
Step-by-step explanation:
Let the number be x , that is the square of x is .
From the first statement :
- 18 = 3x
writing the equation in a standard quadratic format , we have
- 3x - 18 = 0
Factorizing , we have
(x - 6 )(x + 3 ) = 0
x - 6 = 0 or x + 3 = 0
Therefore :
x = 6 or x = -3
Therefore , the negative solution implies x = -3
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ANSWER
Find out the area of the countertop in square meters .
To proof
As given
A countertop is 16ft long & 3ft wide.
A countertop is in the shape of the rectangle.
FORMULA
Area of a rectangle = length × breadth
long = 16ft
wide = 3ft
put the value
we get
Area of a countertop = 16 ×3
= 48 feet²
1 meter = 3.281 feet
convert Area of a countertop in square meters
= 4.461 m² ( approx )
Hence proved
Answer:
P-value = 0.00028
Step-by-step explanation:
The statician performs an hypothesis test for the mean difference.
As the alternative hypothesis is<em> Ha: μd ≠ 0</em>, we know that it is a two-tailed test.
The test statistic is t=6.163.
For a two-tailed test and 8 degrees of freedom, this corresponds to a P-value of:
This P-value is smaller enough to reject the null hypothesis at almost any significance level.
