22. Step by step: 2x^2+5x-3=0
factor the left side
(2x-1)(x+3)=0
set the factors to equal zero
2x-1=0 and x+3=0
x=1/2 x=-3
23. Use same technique.
3x^2-13x-10=0
factor the left side once more
(3x+2)(x-5)=0
set factors to zero
3x+2=0 and x-5=0
x=-2/3 x=5
Answer: There are 180 grape juice in the store
Step-by-step explanation:
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4
Total number of containers = 405
total ratio = 4+5 =9
The number of containers that are orange juice = 5/9 x 405
=5 x 45=225
The number of containers that are grape juice will now be = 4/9 x 405
=4 x 45= 180.
Answer:
6<x<8
Step-by-step explanation:
Since 15%=0.15 by moving the decimal 2 places to the right, 15% of 1300 can be found by multiplying 1300 by 0.15, resulting in 195 as 15%. Since we have to subtract 15% from our answer (15% is not our final answer), 1300-195=1105 as our answer
Answer:
See explanation!
Step-by-step explanation:
<u>We are given a graph that shows the</u><u> value (in dollars) </u><u>of a car stereo at </u><u>time t (in years)</u><u> the time t=0 represents when the stereo was purchased.</u>
<u>A. What does the y-intercept mean in terms of the problem? Include the time and the value of the stereo in your answer.</u>
The graph given shows an exponential expression with a y-interept at
dollars.<em> </em>
<em>This denotes that the initial value of a car stereo at year 0 (i.e. when it first entered the market) was at 300 dollars. </em>
<em />
<u>B. What does V(5)=98 mean in terms of the problem?</u>
Looking at the graph for 
, we know that we are looking at a point 
equal to 
.
This denotes that at year 
, the car stereo value was 
dollars. Thus since the stereo entered the market the value of the car stereo has decreased by over ≈ 202 dollars.
<u>C. Is the graph increasing or decreasing? What does this mean in terms of the problem? </u>
The graph is Exponentially Decreasing suggesting that as the year 
increase, the value of the car stereo is quickly decreasing by larger amounts and not in a linear manner (i.e. the value does not decrease by the same amount every year).
