Answer:
Only 1 questin allowed.
Step-by-step explanation:
Let's simplify step-by-step.
<span><span>0.2<span>(<span><span>3b</span>−<span>15c</span></span>)</span></span>+<span>6c
</span></span>Distribute:<span>=<span><span><span><span>(0.2)</span><span>(<span>3b</span>)</span></span>+<span><span>(0.2)</span><span>(<span>−<span>15c</span></span>)</span></span></span>+<span>6c
</span></span></span><span>=<span><span><span><span>0.6b</span>+</span>−<span>3c</span></span>+<span>6c
</span></span></span>Combine Like Terms:
<span>=<span><span><span>0.6b</span>+<span>−<span>3c</span></span></span>+<span>6c
</span></span></span><span>=<span><span>(<span>0.6b</span>)</span>+<span>(<span><span>−<span>3c</span></span>+<span>6c</span></span>)
</span></span></span><span>=<span><span>0.6b</span>+<span>3<span>c</span></span></span></span>
Answer:
The first pizza is 6 slices, so each slice is 1/6 of a pizza. The second pizza is 4 slices, so each slice is 1/4 of a pizza. If you were to take one slice of each, you would get 1/6 +1/4 slice, which would be 5/12 of a pizza, as opposed to if you took 2 slices of the first pizza, which would only be 4/12 of a pizza.
Step-by-step explanation:
Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.
So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.
So |x| can't be less than -4 as |x| is always positive . So the statement is false.
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]
