Grace weighed 167 pounds before she started her exercise program.
Step-by-step explanation:
Given,
Weight lost by Grace = 45 pounds
Weight of Grace after exercise weeks = 122 pounds
Let,
x represents the weight of Grace before she started the exercise program.
Loss means subtraction, therefore,
We will subtract the lost weight from original weight.
Original weight - Weight lost = Weight after exercise weeks

Adding 45 on both sides

Grace weighed 167 pounds before she started her exercise program.
Keywords: equation, addition
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X is pretzels and y is hot dogs
3x + 2y=195
x +15 =y
3x + 2(x+15)=195
5x=165
x=33
D
Answer:
Step-by-step explanation:
The existence of a unit rate implies that you have TWO variables. Here you list only one: $.
If you pay $2.98 for 6 units of something, such as pieces of fruit, then the unit rate would be:
$2.98
----------------------- = $0.50/piece
6 pieces of fruit
Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.