Answer:
x = 
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
Therefore, 
is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
Therefore, -5 is a root as well.
The roots of the equation would be and -5.
Answer:
96
Step-by-step explanation:
Formulas for area: Parallelogram= Base * Height
Triangle= Base * Height / 2
1st triangle to the left: 8*6=48/2=24
2nd triangle to the right:
<u>1st step: </u>6²+b²=10²
36-36+b²=100-36
√b²=√64²
b=8
2nd step: 6*8=48/2=24
only parallelogram:
6*8=48
Final step: 24+24+48=96
Answer:
m = 
Step-by-step explanation:
Two point slope formula = 
Functions 6 and 7 are linear, 8 is not. This means 6 and 7 have a degree of 1. Since 8 is a quadratic, it has a degree of 2.
The slope is 1 for function 6 and 5 for function 7. Remember, in slope-intercept format, linear equations are written as y=mx+b. X and Y stand for coordinates you can plug in, m represents the slope of the line, and b represents the y-coordinate of the function’s y-intercept. I assume you are familiar with these terms so I won’t explain them.
Number 9 is linear, and you can tell because f(x), which is the output, increases with a constant difference as x increases by 1. In other words, the delta y and delta x is the same between all points.
Number 10 is clearly not linear, because two different x values have the same y value. This is a parabola.
I recommend you graph some of these functions for practice, so you can visualize it better. Imagine the functions as machines. You input a number (x) and you get a number out (y).
For example, in the function f(x)=3x+5, I can input any x, let’s take x as 6, and when I plug it in, I’ll get an output, f(x). 3(6)+5=18+5=23. So my f(x)=23 when x is 6.
Answer:
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Answer is there are 40 girls in a class of 64 pupils.
Step-by-step explanation:
24 boys = 3: (So 8) a Ratio of 5 = 5x8 = 40, so Answer is there are 40 girls in a class of 64 pupils.
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