Answer:
Yes it has
Step-by-step explanation:
From my perspective.........
f(x) = -4(x + 3)² - 5
f(x) = -4(x + 3)(x + 3) - 5
f(x) = -4(x² + 6x + 9) - 5
f(x) = -4x² - 24x - 36 - 5
f(x) = -4x² - 24x - 41
Dy/dx = -8x - 24
At minimum Dy/dx = 0
-8x - 24 = 0
-8x = 24
x = 24/-8
x = -3
At minimum
y = -4x² - 24x - 41
y = -4(-3)² - 24(-3) - 41
y = -4(9) + 72 - 41
y = -36 + 72 - 41
y = 36 - 41
y = -5
Answer:
The sample size is 4
Step-by-step explanation:
Null hypothesis: The mean is 2
Alternate hypothesis: The mean is less than 2
Mean = 3
sd = sqrt(variance) = sqrt(4) = 2
At 95% confidence level, t-value is 1.960
Assuming the lower bound of the mean is 1.04
Lower bound = mean - (t×sd/√n)
1.04 = 3 - (1.96×2/√n)
3.92/√n = 3 - 1.04
3.92/√n = 1.96
√n = 3.92/1.96
√n = 2
n = 2^2
n = 4
Answer:
The desired equation is y = 4x - 34
Step-by-step explanation:
Start with the general slope-intercept form y = mx + b.
The new line is parallel to y = 4x - 5, and so the slope of the new line is the same as that of the old one: 4. Then we have:
y = 4x + b
Find b. Do this by substituting 6 for x and -10 for y:
-10 = 4(6) + b. Then -10 - 24 = b, and b = -34.
The desired equation is y = 4x - 34
Answer:
Step-by-step explanation:
I think this is your full question, right?
<em>Cindy and Zoey work at a store. Both girls earn $6.25 per hour. During a normal week Cindy works 15 hours and Zoey works 20 hours. The expression 6.25(15) + 6.25(20) can be used to calculate the total amount of money that the girls earned in one week. Which expression shows another way to calculate the amount of money the girls earn in one week? </em>
My answer:
The expression shows another way must be equal to: <em>6.25(15) + 6.25(20) </em>
<=> 6.25 (15+20)
Because both girls earn the same per hour.
Her cousin lives 184 miles away
Explanation: In this problem you need to solve for the distance, and you are given speed and time. With this information, we need to use the speed formula which is s=d/t where s=speed, d=distance, and t=time
Next all you have to do is plug in your values, which should look like this-
40=d/4.6
Now that you have your equation, you must solve for d to get your distance by isolating d to one side of the equation. You do this, by multiplying 4.6 on each side of the equation.
This is what the math should look like-
(4.6)40=d/4.6(4.6)
184=d
d= 184 miles
I hope this helped!