-5.5a-9.35+39.78-59.28a<-14.916
-64.78a+30.43<-14.916
-30.43<-30.43
-64.78a<-45.346
a>0.7
9514 1404 393
Answer:
y > 1/2x + 2
Step-by-step explanation:
The points shown on the line are separated by a "rise" of 1 unit vertically, and a "run" of 2 units horizontally. Its slope is rise/run = 1/2.
The line crosses the y-axis at y=2, so the y-intercept is 2.
The boundary line is then ...
y = mx + b . . . . . . . where the slope is m and the y-intercept is b
y = 1/2x + 2 . . . . . . the equation of the boundary line
__
The line is dashed, and the shaded area is above the line, where y-values are greater than the y-value on the line. Then the y-values on the line are NOT included in the solution set. The inequality is ...
y > 1/2x + 2
Answer:
4-(x-3)²
Step-by-step explanation:
5-6x-x²
=4-x²-6x+9
=4-(x-3)²
Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals 106 cards all together
Step-by-step explanation:
STEP 1 :
Let x represent number of football cards
He has four times as many baseball cards as football cards, let baseball cards be = 4x
Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7
Step 2 :
Putting in equation we have that
Football cards + Baseball cards + Pokemon cards = 106 cards
Therefore,
x + 4x + 4x+7 = 106
9x + 7 = 106
9x = 106-7
9x = 99
x =99/9 = 11
therefore football cards , x = 11 football cards
baseball cards = 4x = 4 x 11 = 44 baseball cards
Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards
