Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 3x² + 1
To obtain f(- 1) substitute x = - 1 into f(x) , that is
(8)
f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4
(9)
Similarly
f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1
(10)
Given
f(x) = 3x² + 1 and f(x) = 49, then equate right sides
3x² + 1 = 49 ( subtract 1 from both sides )
3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ± = ± 4
That is x = - 4 or x = 4
Answer:
Volume, V = 3367.6 cm³
Step-by-step explanation:
Given the following data;
Diameter = 18.6 cm
Radius = diameter/2 = 18.6/2 = 9.3 cm
Pie, π = 3.14
To find the volume of the sphere;
Mathematically, the volume of a sphere is given by the formula;
Where;
r is the radius of the sphere.
Substituting into the formula, we have;
Volume, V = 3367.6 cm³
Answer:
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
Step-by-step explanation:
We know that the slope-intercept of line equation is
Where m is the slope and b is the y-intercept
Given the equation of the line m
y = 1/2x - 4
comparing with the slope-intercept form of the line equation
y = mx + b
Therefore,
The slope of line 'm' will be = 1/2
We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2
Checking the equation of the line 'n'
solving for y to writing the equation in the slope-intercept form and determining the slope
Add -x to both sides.
Divide both sides by -2
comparing ith the slope-intercept form of the line equation
Thus, the slope of the line 'n' will be: 1/2
Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.
The linear inequality will not have a shared solution set with the graphed linear inequality. the correct option is D.
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).
m = (-8 -2)/ (2 +2)
m = -10/ 4
m = -5/2
The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.
The linear inequality will not have a shared solution set with the graphed linear inequality.
Thus, the correct option is D.
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