Answer:
The predicted calories would be 403 calories.
Step-by-step explanation:
We have a linear regression model relating y: calories with x: carbohydrates, which has a slope of 4.0 and a y-intercept of 3.0.
Then, the model equation is:

With these model we can predict the calories values for any amount of carbohydrates, within the interval within which this model is valid.
If a new food is tested, and the number of carbohydrates (x) is 100, the predicted value will be:

The predicted calories would be 403 calories.
The expressions that are equivalent when m = 1 and m = 4 is;
Option B: 3m + 4 and m + 4 + 2m
We are given m = 1 and m =4;
A) 5m - 3 and 2m + 5 + m
B) 3m + 4 and m + 4 + 2m
C) 2m + 7 and 3m - 3 + m
D) 5m + 3 and 4m + 2 + 2m
For option B; 3m + 4 and m + 4 + 2m
Let's put m = 1
3(1) + 4 = 7
Also, 1 + 4 + 2(1) = 7
Similarly, let us put 4 for m to get;
3(4) + 4 = 16
Also, 4 + 4 + 2(4) = 16
In both cases, the expressions are equivalent and as such option B is the right one.
Read more about algebra simplifications at; brainly.com/question/4344214
Answer:

Step-by-step explanation:

Answer:
-4ctv² + 10xyz - 9
Step-by-step explanation:
(2 + 5xyz - 6tv²c) - (11 - 5yxz - 2ctv²)
2 + 5xyz - 6tv²c - 11 + 5yxz + 2ctv²
-4ctv² + 10xyz - 9
I hope this helps!
Answer:
y = 24
Step-by-step explanation:
3x + y = 6
Solve for y
Subtract 3x from each side
3x -3x+ y = 6-3x
y = 6-3x
Let x = -6
y = 6 -3(-6)
=6+18
=24