Vertical compression of a function is moving the graph of the function towards the x axis.
It is done by multiplying F(x) with IaI<1, the absolute value of a is less than 1. Then we get f(x)=a*F(x).
If we have a function F(x)=x, and we multiply it by a=1/2, we get:
f(x)=a*F(x)=a*x=(1/2)*x.
This linear function is vertically compressed because the the graph of a new function is closer to the x axis.
Answer:
x = -5/2 + i√19 and x = -5/2 - i√19
Step-by-step explanation:
Next time, please share the possible answer choices.
Here we can actually find the roots, using the quadratic formula or some other approach.
a = 1, b = 5 and c = 11. Then the discriminant is b^2-4ac, or 5^2-4(1)(11). Since the discriminant is negative, the roots are complex. The discriminant value is 25-44, or -19.
Thus, the roots of the given poly are:
-5 plus or minus i√19
x = -----------------------------------
2(1)
or x = -5/2 + i√19 and x = -5/2 - i√19
Answer:
27 gallons
Step-by-step explanation:
If for every 41 miles, 3 gallons are needed. Using what we know, 369 ÷ 41 = 9. This means, to get 369 miles, we need to times the first amoiyng of gallons needed to drive 41 miles, which is 3, and times it by 9. (3×9=27) Therefore, 27 gallons of gas is needed.
Unit price: divide each coffee's total cost by the total package weight.
First Coffee= $3.24 ÷ 10.5 oz= $0.3085 per oz= $0.31 per oz rounded
Second Coffee= $9.88 <span>÷ </span>30.6 oz= $0.3228 per oz
= $0.32 per oz rounded
ANSWER: The first coffee is a better buy at only $0.31 cents per ounce. The second coffee has a higher price per ounce, so it is not a better buy.
Hope this helps! :)
Answer:
x<2
Step-by-step explanation:
I didnt feel like typing it out but the explanation is in the picture hope this helps :)
