Using translation concepts, the equation of g(x) is given as follows:
<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 either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:
For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:
For a vertical stretch by a factor of 7, we have to multiply by 7, hence:
For a reflection in the y-axis, we have to find g(-x), hence:
For a translation of 10 units left, we have to find g(x + 10), hence:
For a translation of 1 unit down, we have to subtract one, hence:
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<u>Answer:</u>
The correct answer option is b. Darius will get the better deal buying one 16 ounce bottle.
<u>Step-by-step explanation:</u>
We know that a 16 ounce bottle of the salad dressing is for $3.36 while a 10 ounce bottle is priced at $2.30.
Darius has a coupon for 40 cents off if he buys two 10 ounce bottles. We are to determine what is the better buy.
Price of one 16 ounce bottle = $3.36
Price of two 10 ounce bottles = (2.30 × 2) - 0.4 = $4.2
Therefore, Darius will get the better deal buying one 16 ounce bottle.
- The equilibrium price is $1.12.
- If price is $0.98, there would be scarcity of Super Widgets.
- When price is $0.98, quantity demanded is y.
- When price is $0.98, quantity supplied is x.
- When price is $1.22, there would be a surplus of Super Widgets.
<h3>What is equilibrium? </h3>
Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.
Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.
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Answer:
$10 coins: 21
$20 coins: 24
Step-by-step explanation:
heyy me again
So we can create 2 equations where
x = number of $10 coins
y = number of $20 coins:
x + y = 45
10x + 20y = 690
we can move equation 1 around so that we can get a value of x
x = 45 - y
now we can substitute x into the second equation
10(45 - y) + 20y = 690
450 - 10y + 20y = 690
10y = 240
y = 24
Now plug in y back into the first equation
x = 45 - y
x = 45 - 24
x = 21
Answer:
-5
Step-by-step explanation:
Here,
t2-t1=20-25=-5
t3-t2=15-20=-5
t4-t3=10-15=-5
t5-t4=5-10=-5
