Answer:
Step-by-step explanation:
y = 5x + 2.....so we will sub in 5x + 2 for y, back into the other equation
3x = -y + 10
3x = - (5x + 2) + 10
3x = -5x - 2 + 10
3x + 5x = 8
8x = 8
x = 8/8
x = 1
y = 5x + 2
y = 5(1) + 2
y = 5 + 2
y = 7
check it... (1,7)
3x = -y + 10 y = 5x + 2
3(1) = -7 + 10 7 = 5(1) + 2
3 = 3 (correct) 7 = 7 (correct)
so ur solution is : x = 1 and y = 7...or (1,7) <=====
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Convert 10 ft to inches by multiplying it by 12. That’s 120 inches. Divide this number by 20 inches per strip to get 6 strips needed.
Answer:
(f o g)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x²-5
(f o g)(4)=?
(f o g)(4) = f(g(4))
Calculating g(4):
x=4→g(4)=4²-5
g(4)=16-5
g(4)=11
Replacing g(4)=11
(f o g)(4) = f(g(4))
(f o g)(4) = f(11)
Calculating f(11)
x=11→f(11)=4(11)+1
f(11)=44+1
f(11)=45
Replacing f(11)=45:
(f o g)(4) = f(11)
(f o g)(4) = 45
