g(x) = x - 3 = 0
g(x) = x = 3
f(x) = 2x^3 + x - 4
f(3) = 2(3)^3 + 3 - 4
f(3) = 2(27) - 1
f(3) = 54 - 1
f(3) = 53
The remainder when f(x) is divided by x - 3 is <u>53</u>.
Answer:
38.4;
Step-by-step explanation:
32.5% × ? = 12.48
? =
12.48 ÷ 32.5% =
12.48 ÷ (32.5 ÷ 100) =
(100 × 12.48) ÷ 32.5 =
1,248 ÷ 32.5 =
38.4;
The circumference of the drain to the nearest tenth is 15.10 inches.
<h3>What is the circumference?</h3>
The circumference of the drain is the distance round the drain. Since the drain has the shape of a circle, the formula used to determine the circumference of a circle would be used to determine the circumference of the drain.
Circumference of the drain = πd
3.14 x 4.8 =15.10 inches
To learn more about how to determine the circumference of a circle, please check: brainly.com/question/14351152
#SPJ1
-4 is the first consecutive even integer following -6<span />
Step-by-step explanation:
1) x/20 = -9
By cross multiplication,
x = -180
2) -168 = -14k
k = -168/-14
k = 12
3) -5m = -50
m = 10
4) -320 = -20n
n = 16
5) -4 = x - 5
x = 1
6) -6(-8 + n) = -54
42 - 6n = -54
-6n = -54 -52
6n = 106
n = 17.6
7) 3(x - 9) = -3
3x - 27 = -3
3x = 24
x = 8
8) 9k + 3 = -78
9k = -81
k = -9
9)4 + (n/4) = 8
By taking LCM,
16 + n/4 = 8
16 + n = 32
n = 16
10) -5r + 7 = -73
-5r = -80
r = 16
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>