In mathematics, a natural number<span> is either a positive integer (1, 2, 3, 4, ...) or a non-negative integer (0, 1, 2, 3, 4, ...). </span>
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
Answer:
1020 raisins
Step-by-step explanation:
Let's set up a proportion using the following setup:
raisins/bags= raisins/ bags
We know there are 680 raisins in 8 bags.
680 raisins/8 bags= raisins/bags
We don't know how many raisins are in 12 bags, so we can say x raisins are in 12 bags.
680 raisins/ 8 bags= x raisins / 12 bags
680/8=x/12
We want to find x. To do this, we must get x by itself.
x is being diveded by 12. The inverse of division is multiplication. Multiply both sides of the equation by 12.
12*(680/8)= (x/12)*12
12*680/8=x
12*85=x
1020=x
x= 1020 raisins
There are 1020 raisins in 12 bags.
That the answer, I hope that will help you
The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.
<h3>How to illustrate the function?</h3>
The function is given as:
f(x) = ax³ - x² + bx - 24.
Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.
This will be solved by elimination method and the values of a and b will be -2 and 22.
Therefore, f(x) = -2x³ - x² + 22x - 24
Learn more about functions on:
brainly.com/question/5685409
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