No he will not.
86 degrees F is 30 degrees C
Answer:
Step-by-step explanation:
The domain of all polynomials is all real numbers. To find the range, let's solve that quadratic for its vertex. We will do this by completing the square. To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out. That gives us:

The second rule is to take half the linear term, square it, and add it to both sides. Our linear term is 2 (from the -2x). Half of 2 is 1, and 1 squared is 1. So we add 1 into the parenthesis on the left. BUT we cannot ignore the 2 sitting out front of the parenthesis. It is a multiplier. That means that we didn't just add in a 1, we added in a 2 * 1 = 2. So we add 2 to the right as well, giving us now:

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form. Completing the square gives us a perfect square binomial on the left.
and on the right we will just add 10 and 2:

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

From this vertex form we can see that the vertex of the parabola sits at (1,-12). This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12. Therefore, the range is R={y|y ≥ -12}
Answer:
He must sell 8 cards to reach the minimum goal.
Step-by-step explanation:
Giving the following information:
He wants to earn more than $50 at the fair.
He sells his cards for $2 and he has already earned $36.
<u>First, we need to calculate the money required to reach the minimum goal:</u>
51 - 36= $15
<u>Now, we write the inequality:</u>
2*x >15
x= number of cards sold.
x>15/2
x> 7.5
He must sell 8 cards to reach the minimum goal.
Answer:
(3n - 8)(2n + 5)
Step-by-step explanation:
6n² - n - 40
Consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × - 40 = - 240 and sum = - 1
The factors are - 16 and + 15
Use these factors to split the n- term
6n² - 16n + 15n - 40 ( factor the first/second and third/fourth terms )
2n(3n - 8) + 5(3n - 8) ← factor out (3n - 8) from each term
(3n - 8)(2n + 5)
Then
6n² - n - 40 = (3n - 8)(2n + 5)
Given that the chip has a dimension of 8 mm by 8 mm which can be written as 0.8 cm by 0.8 cm, is drawn to scale and the dimensions of the plot is 4 cm by 4 cm, the scale of the drawing will be:
0.8 cm is represented by 4 cm
thus;
4 cm rep 0.8 cm
1 cm rep 0.2 cm
The answer is:
1 cm rep 0.2 cm