Answer:
Penelope is 14 years old.
Step-by-step explanation:
- Jaslin is 9 years old (since she'll be 12 in 3 years)
- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.
- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14
Hope this helps!
ANSWER
x=11
EXPLANATION
We want to solve the equation:

Add -8 to both sides:

Square both sides of the equation to get:


Rewrite in the form ax² +bx+c=0


Factor to get,

This implies that,

Checking for extraneous solutions.
When x=6, the original equation becomes,


2+8= 6 is not true.
x=6 is an extraneous solution.
When x=11, the original equation becomes,



This is true, hence x=11 is the only solution.
Answer:
The next score he needs to have an overall average of 79 is 89.
Step-by-step explanation:
Gary earned an average score of 77 on his 5 quizzes . The number of score he needs to have an average of 79 can be calculated below.
average score = 77
number of quizzes = 5
sum of Garry score = a
a/5 = 77
cross multiply
a = 77 × 5
a = 385
let
the next score he needs be b to score an average of 79
average = 79
number of quizzes = 6
385 + b/6 = 79
cross multiply
385 + b = 474
b = 474 - 385
b = 89
The next score he needs to have an overall average of 79 is 89.
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
Answer:
<u>A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.</u>
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!