Answer:
8a + 24
Step-by-step explanation:
Use Distributive property: a(b +c) = a*b + a*c
Here a = 8 ; b= a & c = 3
8(a + 3) = 8*a + 8*3
= 8a + 24
The algebraic expression of "Four more than the quotient of a number and 3 is 9" is 
The value of x=15
Step-by-step explanation:
We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.
Let the number = x
Solving:
quotient of a number and 3: 
Four more than the quotient of a number and 3: 
Four more than the quotient of a number and 3 is 9: 
Now, finding value of x:

So, value of x = 15
Keywords: Algebraic expression
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♂️♂️ -15 a parallel, clarify your question
Answer:
<em>x = 9</em>
Step-by-step explanation:
The standard form of equation of a line is expressed as y = mx+c
m is the slope
c is the y intercept
Note that the line does not have a slope and the x intercept of the line is a point where the line cuts the x axis. Hence the equation of the line will be expressed as x = c where c is the x intercept;
<em>From the graph, the x intercept =9. Hence the equation of the given line is x = 9</em>
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!