Answer: 12 practice sessions
Step-by-step explanation:
You can represent the word problem in this equation: 200+50x<775 OR 200+50x=775
If you subtract 200 from 775, you’ll be left with: 50x=575
Count by fifties until you get to 575. You’ll notice that 50 doesn’t go into 575 evenly! However, this won’t matter, because Helga wants to make AT LEAST 775. So you can round up to 12 practices instead of 11, which will equal 800 dollars instead of 750.
You have to break the number down. (3 x 500) + (3 x 80) + (3 x 4)
The integers that make the linear equation false are:
3, 78, and 126
We found that by evaluating the equation in all the options.
<h3>Which integers make the equation false?</h3>
Here we have the linear equation:
8m - 15 = 5m + 63
And the possible solutions are:
S: {3, 26, 78, 126}
To see which of these integers make the equation false, we can replace the value of m by the given values and see when the equation is false (the number in the left is different to the one in the right).
if m = 3
8*3 - 15 = 5*3 + 63
9 = 78 this is false.
if m = 26
8*26 - 15 = 5*26 + 63
193 = 193 this is true.
if m = 78
8*78 - 15 = 5*78 + 63
609 = 453 this is false.
if m= 126
8*126 - 15 = 5*126 + 63
993 = 693 this is false.
So the integers that make the equation false are:
3, 78, and 126.
Learn more about linear equations:
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Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Answer:
The graph is a vertical shift of the parent function 2 units up.
Step-by-step explanation:
Our the function is:
y = √x + 2
Its parent function is: f(x) = √x
Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.