Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function
and the graph is shifted 3 units to the left, then we can think of a new unit u that is:
The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:
We can use this relation in the new graph and replace u as:
Answer:
D. 13 * 19 - 13x
Step-by-step explanation:
To get your answer, you have to distribute 13 to both numbers inside the parenthesis. So it would be 13 * 19 - 13 * x. You don't need the multiplication sign between the 13 and the x to say that they need to be multiplied.
Answer:
.67
Step-by-step explanation:
12/17.88=.67
Answer:
45
Step-by-step explanation:
Set up ratios for 2 similar triangles:
20/28=x/x+18
Cross multiply
28x=20x+360
8x=360
x=45
Question:
In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?
Answer:
Probability that a bird will win the top prize is 0.167
Step-by-step explanation:
Given:
The number of dogs = 7
The number of cats = 6
The number of birds = 3
The number of gerbils = 2
To Find:
Probability that a bird will win the top prize = ?
Solution:
Let us first find the total number of pets .
The Total number of pets = 7 + 6 + 3 + 2 = 18
Now the probability of a bird will win the top prize is
=> 
=>
=> 
=>0.167
