You must remember that a polynomial is written like so...
ax^2 + bx + c
In this case...
a = 1
b = 3
c = -10
To factor you must find two numbers who both add up to b (3) AND multiply to c (-10)
-2 + 5 = 3
-2 * 5 = -10
so...
(x - 2)(x + 5)
To find the zero you must set each factor equal to zero and solve for for x like so...
x - 2 = 0
x = 2
x + 5 = 0
x = -5
Hope this helped!
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Answer:
The confidence interval for this proportion = (0.09, 0.13)
Step-by-step explanation:
Confidence Interval for Proportion =
p ± z ×√p(1 - p/n)
p = proportion = x /n
x = 71
n = 635
p = 71/635
p = 0.1118110236
p ≈ 0.1118
z score for 90% confidence interval = 1.645
Confidence Interval =
0.1118 ± 1.645 × √0.1118 (1 - 0.1118)/635
0.1118 ± 1.645 × √0.09930076/635
0.1118 ± 1.645 × √0.0001563791
0.1118 ± 1.645 × 0.0125051629
0.1118 ± 0.020570993
Confidence Interval =
0.1118 - 0.020570993
= 0.091229007
Approximately to the nearest hundredth ≈ 0.09
0.1118 + 0.020570993
= 0.132370993
Approximately to the nearest hundredth = 0.13
Therefore, the confidence interval for this proportion = (0.09, 0.13)
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).
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Answer:
-1288
Step-by-step explanation:
replace x with -7 because (x= -7) and the rest is a simple maths
