Answer:
The answer is 1/3
Step-by-step explanation:
-4/-12 is the same as -4 divided by -12, and a negative divided by a negative will always be a positive; therefore, the answer comes out to be positive.
Hey there! I'm happy to help!
First, let's add the hundreds and the tens.
300+80=380
We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.
380+0.9=380.9
We add the hundredths.
380.9+0.06=380.96
And finally, we add the thousandths.
380.96+0.001=380.961
Therefore, this number in standard form is 380.961.
Have a wonderful day! :D
Answer:
{-7, 2, 8}
Step-by-step explanation:
We see that the domain is limited to three x-values: -3, 0 and 2. To find the range (which is the set of all y-values) we just need to plug-in these x-values and find the corresponding y-values.
So our equation is:
y = 3x + 2
Then we substitute for the x-values:
y = 3(-3) + 2
y = -9 + 2
y = -7
y = 3(0) + 2
y = 0 + 2
y = 2
y = 3(2) + 2
y = 6 + 2
y = 8
So our range would be {-7, 2, 8}.
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
<u>Differentitate:</u>
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
<u>Graph:</u>
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Answer: Tip- $9.16
Total bill will be $57.82
Step-by-step explanation:
Bill before tax is $45.80
6.25% sales tax implies 6.25/100 x 45.80= $2.86
20% tip = 20/100 x $45.80 = $9.16
Total bill is therefore $45.80+ $2.86+ $9.16
