Answer: (-2,-7)
Step-by-step explanation:
A function f(x-c) , where c>0 , represents the horizontal shift of original function to the right c units.
The function f(x-c) is going to add c to the x value, while keeping the y value the same.
Similarly,
The function f(x-5) is going to add 5 to the x value, while keeping the y value the same.
So, the corresponding point to (-7,-7) on f(x-5) = (-7+5,-7)
= (-2,-7)
hence, the corresponding point to (-7,-7) on f(x-5) = (-2,-7)
Three and six tenths
Hope I helped!
5x + y = 27
substitute: 5x + 4x = 27
combine: 9x = 27
divide (by 9): x = 3
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
Answer:
Read step by step explanation
Step-by-step explanation:
The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude
1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project
2.-As sample size is smaller than 30 the test has to be t-student one tail test to the left
Test hypothesis
Null hypothesis H₀ x = 38
Alternative hypothesis Hₐ x < 38
We should test at a significance level α = 0,05 (α = 5%)
If the result of the test is to accept H₀ delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.
