Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
sum of two angles of triangle are equal to the exterior angle of triangle
Answer:
0,55
Step-by-step explanation:
You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.
<span>
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>
<span>Positive x positive = positive
Negative x negative = positive</span>
<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>
<span>Positive x negative = negative
Negative x positive = negative</span>
<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>
<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>
<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>
<span>Positive ÷ negative = negative
Negative ÷ positive = negative</span>
Answer:
149.28 sq. inches
137.5 cubic inches.
Step-by-step explanation:
The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.
Now, total surface area of the container = 
= 
= 39.28 + 110
= 149.28 sq. inches (Answer)
Again the volume of the container will be 
= 
= 137.5 cubic inches. (Answer)
