Answer:
X = 215/9
Step-by-step explanation:
- 3/5 * 5(3x + 6) = 197
-3 *(3x + 6) = 197
-9x - 18 = 197
- 9x = 197 + 18
X = - 215/9
<span>1) Number of fish in the pond: y
Number of years: x
</span>A pond had an initial population of 120 fish. Then when x=0, y=120. The graph must begin at point (x,y)=(0,120). Only the graph above at right and below at left begin in this point (0,120).
<span>The number of fish is exponentially decreasing by one-fourth each year. Then the first year the number of fish must decrease 120*(1/4)=120/4=30, and the number of fish after the first year must be:
</span>120-30=90=120(1-1/4)=120(4-1)/4=120(3/4). Then when x=1, y=90. The point is (x,y)=(1,90)
In the graph above at right when x=1, y is between 24 and 36. y=90 is not in this interval. then this graph is not the correct.
In the graph below at left when x=1, y is between 84 and 96. y=90 is in this inverval. Then this is the correct graph.
Answer: T<span>he graph of the solution set for this situation is the graph below at left.
2) The equation has the form:
y=y0(r)^x
Where y0 is the initial population and r is the rate of reduction. In this case:
y0=120 and
r=1-1/4=(4-1)/4→r=3/4
Then the equation modeled by the graph is:
y=120(3/4)^x
Answer: The equation modeled by the graph is that above at right:
y=120(3/4)^x</span>
Answer:
x = -2
y = 5
Step-by-step explanation:
2x - 3y = -19 ---------------------------(I)
7x+ 7y = 21 -----------------------------(II)
Multiply equation (I) by 7 and equation (II) by 3.Then add and so y will be eliminated and you will get the value of x
(I)*7 14x - 21y = - 133
(II)* 3 <u> 21x + 21y = 63 </u> {Now add}
35x = -70
x = -70/35
x = - 2
Plug in x = - 2 in equation (I)
2*(-2) - 3y = -19
-4 - 3y = -19
-3y = -19 + 4
-3y = -15
y = -15/-3
y = 5
The total that Audrey pays is $110.50
Answer: 4x + 3 = 39
Step-by-step explanation:
Because you don't know how much each pizza costs, you can write it as x.
You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.
That added up should equal 39 because thats how much he spent.
