"The number" is first, do an example, to find out how, like pick any number under 17. Let's do 14. Their difference is 3. 8*3=24. that;s not quite 30. We have to find a number to equal 30, let's pick 15 and 17. Their difference is 2. 2*8=16. Not quite. Now, check the multiplication table for 8. Do any of them equal 30? No. So now you can see that the answer is going to have a decimal place. Divide 30 by 8. That equals to 3.75. Now do 17 minus 3.75. That is 13.25. The difference between 13.25 and 17 is 3.25. Now, do 8*3.75. That is 26. Oops. I am not in high school, but keep going like that and YOU'LL FIND IT! I BELIEVE IN YOU!
Answer:
Option A
Step-by-step explanation:
Degree of the polynomial function = 4
That means highest degree term of the given polynomial has power = 4
If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,
f(x) = (x - a)(x - b)(x - c)(x - d)
It's given in the question that roots are x = -2, -1, 1 and 3
Therefore, polynomial function will be,
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3
Therefore, Option A will be the answer.
Answer:
y=-6x
Step-by-step explanation:
Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x
Answer: Children = 108
Adult = 52
Step-by-step explanation:
Let x = number of children
Let y = number of adult
Based on the information given, we can form an equation which will be:
x + y = 160 ........ i
2x + 5y = 476 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 320 ....... iii
2x + 5y = 476 ........ iv
Subtract iii from iv
3y = 156
y = 52
Number of adults = 52
Since x + y = 160
x + 52 =160
x = 160 - 52
x = 108
Number of children = 108
