Answer:
12.2
Step-by-step explanation:
use the Pythagorean theorem to determine the diagonal
9.9^2 + 7.2^2 = d^2
d = 12.2
Ok, so we need to set up a system of equations.
x + y = 19, where x is notebooks and y is pencils
2.2x + 1.09y = 30.70. You use the coefficient for individual prices and the total for the total given.
2.2x + 2.2y = 41.8 (multiply for elimination later)
2.2x + 1.09y = 30.7
1.11y = 11.1
y = 11.1/1.11
y = 10
Now we use the substitution method in x + y = 19
x + 10 = 19
x = 9
9 notebooks and 10 pencils
Answer:
C. Nonlinear
General Formulas and Concepts:
<u>Algebra I</u>
- Linear - Proportional relationship y = mx + b
- Nonlinear - Any graph that has a degree <em>x</em> higher than 1
Step-by-step explanation:
<u>Step 1: Define</u>
y = 6x³ - 13
<u>Step 2: Identify</u>
We see a cubic function. Quadratics, Cubics, Quartics, etc. are all nonlinear equations.
Answer:
Bryan walks faster
Bryan was farther away from home when he started walking.
Step-by-step explanation:
Given the following :
Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'
y = 7,920 − 270x
For bryan:
Minutes (x) - - - 0 - - - - - 15
Feet ( y) - - 8000 - - - 3800
General form of a linear equation :
y = mx + C
m = gradient / slope
m = (y2 - y1) / (x2 - x1)
m = (3800 - 8000) / (15 - 0)
m = -4200 / 15 = - 280
Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)
Therefore,
Bryan's model:
y = 8000 - 280x
Comparing both functions :
Bryan has a greater speed ( from the gradient)
Bryan was farther away from home when he started walking ( intercept )
Step-by-step explanation:
Step 1: -x^2 is -1 because x is always 1.
Now that you found your first step take -1x+10=6. You're going to subtract 10 from both sides which leaves you with a sum of -4. So -1x= -4 now divide -4/-1x which gives you a positive number.