Answer:
×=4.2
Step-by-step explanation:
3.5x=14.7
÷3.5 ÷3.5
x=4.2
Answer:
i) k = 36.8
ii)y = 36.8/square root of x
iii)y = 1.4
Step-by-step explanation:
If y is inversely proportional to square root of x;
then the two variables are related by,
y = k/ square root of x
i)Value of k when...x = 8 and y = 13,
substitute into the equation above..so as to find the value of k
13 = k/square root of 8
;k = 13 × square root of 8
;k = 36.8
ii)Then substitute the value of k with...36.8
y = 36.8/square root of x
iii)If x = 27...then y =;
y = 36.8/27
y = 1.4
Simplify the expression
-10
Hope this helps! :)
f(x) > 0 - I and II quadrant
f(x) < 0 - III and IV quadrant
Look at the picture.
A. F(x) < 0 on the interval x < 0. TRUE
B. F (x) > 0 on the interval x <0. FALSE
C. F (x) < 0 on the interval 0 < x < 1. TRUE
D. F (x) > 0 on the interval 0 < x < 1. FALSE
E. F (x) < 0 on the interval 1 < x < 3. FALSE
F. F (x) > 0 on the interval 1 < x < 3. TRUE
G. F (x) < 0 on the interval x > 3. TRUE
H. F (x) > 0 on the interval x > 3. FALSE
![\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-14}{14-10}\implies \cfrac{-2}{4}\implies -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-14=-\cfrac{1}{2}(x-10) \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B10%7D~%2C~%5Cstackrel%7By_1%7D%7B14%7D%29%5Cqquad%0A%28%5Cstackrel%7Bx_2%7D%7B14%7D~%2C~%5Cstackrel%7By_2%7D%7B12%7D%29%0A%5C%5C%5C%5C%5C%5C%0Aslope%20%3D%20m%5Cimplies%0A%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B12-14%7D%7B14-10%7D%5Cimplies%20%5Ccfrac%7B-2%7D%7B4%7D%5Cimplies%20-%5Ccfrac%7B1%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%0A%5Ccline%7B1-1%7D%0A%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%0A%5Ccline%7B1-1%7D%0A%5C%5C%0Ay-y_1%3Dm%28x-x_1%29%0A%5C%5C%5C%5C%0A%5Ccline%7B1-1%7D%0A%5Cend%7Barray%7D%5Cimplies%20y-14%3D-%5Ccfrac%7B1%7D%7B2%7D%28x-10%29%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill)

now, the x-axis has years after 1987, so 2007 is 20 years after 1987, 1987 + 20 = 2007, therefore x = 20, what is y?............
.
and you know how much that is.