Answer:
B. y = 6x^2 - 24x + 16.
Step-by-step explanation:
y = 6(x - 2)^2 - 8
y = 6(x^2 -4x + 4) - 8
y = 6x^2 - 24x + 24 - 8
y = 6x^2 - 24x + 16.
Answer:
Jacket A costs 43$
Jacket B costs 55$
Step-by-step explanation:
According to the Question,
- Given, Two jackets have a combined cost of $98. Jacket 'A' costs $12 less than jacket 'B'. Thus, if the jacket B Cost 'X' So, Jacket A costs 'X-12'.
Therefore, Jacket A + Jacket B = 98
X-12+X = 98
2X = 110
X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Step-by-step explanation:
step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.
step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.
step 3. The lower segments are identical to the upper segments.
step 4. therefore x = 11(2) = 22.
Answer:
Yeah! Well 4 as a percentage would be 0.04 because 4% is 0.04.
Step-by-step explanation:
When you multiply a number times 100 (100%) you move the decimal place 2 places to the <em>left</em>. When you multiply a number times 10 you move the decimal place 1 place to the <em>left.</em> Just think that 100 has 2 0's in it so move that much to the <em>left.</em>
Hope this helps!
