Answer:
<em>The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)</em>
Step-by-step explanation:
<u>Translations</u>
A given point A(x,y) when translated by the rule (h,k) maps to A'(x+h,y+k).
We are given the point X(3,-2) and its image at X'(2,-4). The rule for the translation used is:
(h,k)=(2,-4)-(3,-2)=(2-3,-4+2)=(-1,-2)
If we apply the same translation to the point Y(7,1) we get the image Y'(7-1,1-2)=Y'(6,-1).
If we apply the same translation to the point Z(-1,2) we get the image Z'(-1-1,2-2)=Z'(-2,0).
The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)
You could buy 5 DVDs. If you bought 5 DVDs, your total charge would be $89.94.
Answer:
No, because water temperature is confounded with brand of detergent.
Step-by-step explanation:
There is a very possible chance of allowing a third or confounding variable to have creepwd into the research. The aim was to investigate which of two detergents prevents color from fading. Hence, the test for both detergents should be carried out under the same research condition. However, with adoption of different water temperature for each of detergent A and B, there may be a relationship between fading and water temperature which is not what are trying to investigate. This difference in temperature will thus cause a spurious relationship in our research. Hence, water temperature has been confounded with detergent brand, making this experimental design a bad one.
Answer:
(f+g)(x) = -4^x + 5x - 2
Step-by-step explanation:
if f(x) = -4^x - 8 and g(x) = 5x + 6,
(f+g)(x) = f(x) + g(x)
= -4^x - 8 + 5x + 6
= -4^x + 5x - 2
Answer:
Number 1: x≈4.9412824
Number 2: x=3√10,−3√10x=310,-310
Decimal Form:
x=9.48683298...−9.48683298...
Number 3: x≈−5.04938819
Number 4: x=−1+2√6,−1−2√6x=-1+26,-1-26
Decimal Form:
x=3.89897948…,−5.89897948…
Number 5: x=−7+√93,−7−√93x=-7+93,-7-93
Decimal Form:
x=2.64365076…,−16.64365076…
Number 6: x=1+i√3910,1−i√3910