Answer:
10. x = 3 ± 2√6
11. x = 4 ± √6
12. 
and 
Step-by-step explanation:
10. Given the quadratic equation (x - 3)² + 14 = 38
We have to solve it by square root.
Now, (x - 3)² + 14 = 38
⇒ (x - 3)² = 38 - 14 = 24
⇒ (x - 3)² = (2√6)²
Now, square rooting both sides we get,
(x - 3) = ± 2√6
⇒ x = 3 ± 2√6 (Answer)
11. Given the quadratic equation x² - 8x + 10 = 0
We have to solve it by completing the square.
Now, x² - 8x + 10 = 0
⇒ x² - 2(4)(x) + 4² = 4² - 10
⇒ (x - 4)² = (√6)²
Now, square rooting both sides we get,
x - 4 = ± √6
⇒ x = 4 ± √6 (Answer)
12. Given the quadratic equation 5x² + 7x - 3 = 0
We have to solve it by quadratic formula.
Hence,
and 
⇒ and (Answer)
Assuming you made an error typing the question out, and the formula should say 30g, as it's $30 a round:
Answer:
B.
Step-by-step explanation:
First you need to figure out how many numbers there are, so with this you can simply count 10. Then use the formula to plug in the numbers: 10(22-77)/2 to get the answer.
Answer:
It would be a negative or positive depending on the situation.
Step-by-step explanation:
A negative minus a negative would result in either a positive or negative. For example, -8 - (-9) would be 1 while -8 - (-7) would be -1. If the negative number your subtracting is greater than the number you're subtracting from then it will be positive, vice versa.
Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
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