Answer:
x = 10/3
x = 3 1/3
(3 whole number, 1/3)
Step-by-step explanation:
To solve for x, we just simplifying the expression.
Be mindful of the signs!
Let's go on now!
x + 7/-3 = 1
Begin by Multiplying all through by -3.
The expression becomes:
(-3 * x) + (7/-3) * -3 = 1 * -3
-3x + 7 = -3
-3x = -3 -7
-3x = -10
Divide both sides by the coefficient of x.
x = -10 / -3
x = 10/3
x = 3 1/3
(3 whole number, 1/3)
Maths is fun !
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Answer:
61.57 ft
Step-by-step explanation:
Look at the picture. You need to find the base value.
so we can sue the cosine formula here.
cos x° = adjacent / hypotaneous
cos 52 ° = adj / 100
adjacent = 100 cos 52°
=61.57 ft
Answer:
k = -2
Step-by-step explanation:
14+4k = 2-2k
4k+2k = 2-14
6k = -12
k = -12/6
k = -2