Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation
Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:
The graph of the line y = 6x+4 is attached below.
Answer:
13.92
Step-by-step explanation:
You can refer to the photo I attached
Answer:
92.4/3.3 = 28
Therefore, the number that 92.4 is 330 percent of, is 28.
Step-by-step explanation:
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Answer:
x = ³/₅
Step-by-step explanation:
1⅔/x = 2⁷/₉ Convert the right-hand side to improper fraction
1⅔/x = ²⁵/₉ Multiply each side by x
1⅔ = ²⁵/₉x Convert the left-hand side to improper fraction
⁵/₃ = ²⁵/₉x Multiply each side by 9
15 = 25x Divide each side by 25
x = ³/₅
<em>Check: </em>
1⅔/⅗ = 2⁷/₉
⁵/₃ × ⁵/₃ = ²⁵/₉
²⁵/₉ = ²⁵/₉
