<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
Answer: option C is the correct answer
Step-by-step explanation:
The y-intercept of the function is the point on the y or vertical axis at which the straight line cuts through it. The value on the y axis is read off as the y-intercept .
The equation of a straight line is modelled using the slope - intercept equation of
y = mx + c
Where m is the slope( change in value of y/ change in value of x.
c = the y-intercept
Looking at the function given,
f(x)=4 – 5x? Where f(x) is the same as y in our slope intercept equation.
Rearranging the function, it becomes
f(x)= – 5x +4
The intercept is 4
Option C is the correct answer.
The best method that will work for any quadratic equation is to use the quadratic formula: x = (-b±√(b² - 4ac))/2a, this will work for any quadratic of the form ax² + bx + c = 0.
As for the last equation in the attachment, that is a cubic equation, these are much trickier to solve and as such the formula is much longer and very complicated. Therefore it is easier to see if it can be broken down into a linear term and a quadratic. This can be done by substituting integer values of x into the equation to see if it holds true. If both sides of the equation are equal for a given value of x then the equation ax³ + bx² + cx + d can be rewritten as (Ax + B)(px² + qx + r). This can then be put into the quadratic formula mentioned above.
Answer:
Step-by-step explanation:
Given
Orchestral = 
of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = of music practice time
Substitute 
for music practice time.
So, we have:
The area of a triangle is equal to bh/2.
The base here is 8 and the height is 3.
8*3=24
24/2=12
The answer is B, 12 yd^2
