Answer:
Solution given:
f(x)=x²
g(x)=x+5
h(x)=4x-6
now
23:
(fog)(x)=f(g(x))=f(x+5)=(x+5)²=x²+10x+25
24:
(gof)(x)=g(f(x))=g(x²)=x²+5
25:
(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36
26:
(hof)(x)=h(f(x))=h(x²)=4x²-6
27;
(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1
28:
(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14
J/4 - 8 < 4
<u> + 8 + 8 </u> *add 8 to both sides to cancel -8.
j/4 < 12
<u>*4/1 *4/1 </u> *multiply 4/1 to both sides to cancel 1/4
j < 48
j should be less than 48 to make the inequality true.
example: j = 47
j/4 - 8 < 4
47/4 - 8 < 4
11.75 - 8 < 4
3.75 < 4
Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.
Let the price of 1 litre of milk be x$
Let the price of 1 loaf of bread be y$
According to the problem
333x + 555y =11
444x+444y=10
On subtracting the two,
We get
(333x+555y=11) * 444
(444x+444y= 10) * 333
(-) (-) (-)
147852x + 246420y =4884
147852x + 147852y = 3330
(-) (-) (-)
------------------------------
98568y = 1554
y = 1554/98568
= 0.0157$
=0.02$
Price of 1 loaf of bread= 2 cents
On putting the value of y
333x + 555*0.0157 = 11333x + 8.7135 = 11333x = 2.2865x = 2.2865/333x = 0.00068$ = 0.01$
Price of 1 litre of milk = 1 cent
1.5
Answer:
Polygon Name
Number of Interior Angles
Sum of Interior Angles = (n-2) x 180°
Triangle
3
180°
Quadrilateral
4
360°
<u><em> Pentagon </em></u>
<u><em> 5 </em></u>
<u><em> 540° </em></u>
Hexagon
6
720°
Step-by-step explanation:
