Answer:
<h2>The easiest to solve for is x in the first equation</h2>
Step-by-step explanation:
Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.
x + 4 y = 14............ 1 * 3
3 x + 2 y = 12 ............ 2 * 1
Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.
3x + 12 y = 42.
3 x + 2 y = 12
Taking the diffrence;
12-2y =42 - 12
10y = 30
y = 3
From equation 1, x = 14-4y
x = 14-4(3)
x = 14-12
x = 2
It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily <u>because the variable x has no coefficient in equation 1 compare to equation 2 </u>as such it will be easier to make the substitute for x in the first equation.
Answer:
The radius is given its 10 in
The diameter is 20 in
Step-by-step explanation:
Two find the diameter given the radius you just multiply by 2
10x2=20 therefore the diameter is 20
Hope this helps :)
Answer:
44
Step-by-step explanation:
Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)
Here f(x) is divided by (x + 4), thus remainder is calculated as
f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)
= - 64 + 5(16) + 28
= - 64 + 80 + 28 = 44 ← Remainder
4 consecutive integers...z, z + 1, z + 2, z + 3
z + (z + 1) + (z + 2) + (z + 3) = 166...combine like terms
4z + 6 = 166
4z = 166 - 6
4z = 160
z = 160/4
z = 40
z + 1 = 40 + 1 = 41
z + 2 = 40 + 2 = 42
z + 3 = 40 + 3 = 43
so ur numbers are : 40,41,42,43 with the largest being 43
