X raised to the power of two" or equivalently "x squared" (which is x mulitplied by itself). In fact, if we multiply the variable x by itself a number of times (say n - times) we get: xn. The number represented here as x is called the base, and n is called the power or exponent.
Answer:
The value of a = 8.
The value of b = 2.
Step-by-step explanation:
Given: where, x = -2
Since, the power is even (10), the resultant will be a positive number.
So, we have:
Note that:
Also,
Therefore, we get:
Hence, a = 8; b = 2
Hence, the answer.
This is the concept of arithmetic:
fraction of:
Protein+healthy fats=1/2
carbohydrates=2/3×1/2=1/3
sugary treats=1-(1/3+1/2)= 1/6
thus the percentage of sugary treats in the current diet will be:
(fraction of sugary treats)×(percentage of the diet)
=1/6×10
=10/6
=1 2/3 %
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Translation right 6 units adds 6 to every x-coordinate. Rotation 90° CW is the transformation (x, y) ⇒ (y, -x). The sequence of transformations gives ...
(x, y) ⇒ (y, -x-6)
Then the coordinates of the transformed figure are ...
P(-3, 7) ⇒ P'(7, -3)
Q(4, 12) ⇒ Q'(12, -10)
R(4, -2) ⇒ R'(-2, -10)
S(-3, -7) ⇒ S'(-7, -3)
Answer: you bought 9 burgers and 16 tacos
Step-by-step explanation:
Let x represent the number of burgers that you bought.
Let y represent the number of tacos that you bought.
You buy a total of 25 burgers and tacos. It means that
x + y = 25
The burgers cost $3.50 each and the tacos cost $2.25 each. The total cost of the burgers and tacos that you bought is $67.50. It means that
3.5x + 2.25y = 67.5- - - - - - - - - - - - 1
Substituting x = 25 - y into 1, it becomes
3.5(25 - y) + 2.25y = 67.5
87.5 - 3.5y + 2.25y = 67.5
- 3.5y + 2.25y = 67.5 - 87.5
- 1.25y = - 20
y = - 20/ - 1.25
y = 16
x = 25 - y = 25 - 16
x = 9