Answer:
50 grams of fat
Step-by-step explanation:
The equation of the line generated by the regression is
Calories = 110 + 10 (grams of fat), where grams of fat is a variable.
Since the value of the grams of fat is multiplied by 10, if the two cereals differ by 5 grams of fat per serving, then the caloric content per serving will differ by:
10 x 5 = 50 grams of fat
Answer:
and

Step-by-step explanation:
The standard equation of a circle is
where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
. - We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to
.
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now
.
by adding
to both the x and y portions of this equation you can complete the squares.
and
which equals 49 and 4.- Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form
and
. - Finally put the whole thing together.
.
I hope this helps!
Answer:
(m-2)(m+2)
Step-by-step explanation:
a²-b²=(a-b)(a+b)
let m be a and 2 be b
m^2-2²=(m-2)(m+2)
Answer:
The total cost of commodities = $61.82
Step-by-step explanation:
Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes is $44.00.
The tax rate in the shop = 9%.
We have to find the total price Sam has to pay.
The total cost of the shirt and the pair of shoes = 12.72 + 44 = $56.72
Now there is tax of 9%.
So the cost becomes 1.09 times the initial value.
Hence the final price = 56.72
= $61.82
The final price of shirt and shoes = $61.82
For this problem I would change:
2x + 3y = 25 into
-2x - 3y = -25
Then, I would add up both equations by lining them up top of another.
5x + 3y = 31
+ -2x - 3y = -25
3x = 6
x = 2
Now that you have x, solve for y.
5x + 3y = 31
5(2) + 3y = 31
10 + 3y = 31
3y = 21
y = 7
So, x is 2 and y is 7.
Check to see if the values are correct by plugging them into the other equation.
2x + 3y = 25
2(2) + 3(7) = 25
4 + 21 = 25
25 = 25
Since the values are correct, the solution to this problem is A (2, 7).