X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0
set to zero and solve
xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)
ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)
zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)
xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)
Answer:
72°
Step-by-step explanation:
Let the 2 equal angles be x then the third angle is x + 18
The sum of the 3 angles in a triangle = 180°, thus
x + x + x + 18 = 180, that is
3x + 18 = 180 ( subtract 18 from both sides )
3x = 162 ( divide both sides by 3 )
x = 54
Hence
the largest angle = x + 18 = 54 + 18 = 72°
Answer:
The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.
Step-by-step explanation:
In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:
64-ounce container: 6.50/64=0.10
48-ounce container: 4.25/48=0.08
According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.
Answer:
During the year 2021.
Step-by-step explanation:
As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.
Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).
Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then
Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.
The fraction would be the portion over the total:
240 / 5280
Divide both top and bottom by 240 and the fraction simplifies to 1/22
The answer is 1/22
