Answer:
Step-by-step explanation:
The range of f(x) = cos(x) is [-1, 1].
That of f(x) = A cos(x) is [-A, A], and
That of f(x) = A cos(x) + 2 is [ b-A, b+A ].
The function g(x) = A sin(x)+b has the same range.
Answer:
Step-by-step explanation:
We are given the function f(x) = -3/4(x) +6.
We know that the slope intercept form of a line is y = mx + b
Here, the slope m = -3/4.
The y-coordinate of the y intercept is b = 6 so the y-intercept is at the point (0,6) [x is always 0 at the y-intercept]
If you have to points you can graph the line, we only have the point (0,6).
To find the second point we use the slope.
We add the bottom point of the slope to the x coordinate of the y-intercept and we add the top part of the slope to the y coordinate of the y-intercept, so our second point is (0 + 4, 6 +(-3)) = (4, 3).
You then plot the points we have: (0,6) and (4,3) and draw the line through them.
The back of the book should have the answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
The area is 192 cm^2
the sides are 20 20 24 with the base being 24
to figure out the height you have to use Pythagorean theorem of the triangle cut in half so 12^2 + b^2 = 20^2
b= 16 = height
b*h* .5= area 16* 24* .5= 192
