2
3
−
4
2
+
9
−
4
Step-by-step explanation:
Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
The point of intersection of both graphs will have the coordinate (5, 9).
<h3>What is the Point of Intersection of the Graph?</h3>
We are given the functions;
f(x) = x + 4
g(x) = -2x + 19
Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;
x + 4 = -2x + 19
x + 2x = 19 - 4
3x = 15
x = 15/3
x = 5
Thus;
f(x) = 5 + 4 = 9
g(x) = -2(5) + 19 = 9
Thus, the point of intersection of both graphs will have the coordinate (5, 9)
Read more about Graph Intersection at; brainly.com/question/11337174
#SPJ1
Answer:
•26.376 units
•23.236 units
•34.54 units
•59.66 units
Step-by-step explanation:
The formula for the circumference of a circle is ...
C = 2πr = πd
C = 2(3.14)r = 6.28r or C = 3.14d
where r is the radius and d is the diameter.
Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".
r = 4.2 ⇒ C = 6.28×4.2 = 26.376
d = 7.4 ⇒ C = 3.14×7.4 = 23.236
d = 11 ⇒ C = 3.14×11 = 34.54
r = 9.5 ⇒ C = 6.28×9.5 = 59.66
