How many real roots does the quadratic function f(x)= -5x^2 have?

Hey, could someone please help me with this? Thanks.

Novosadov [1.4K]

Answer:

Part A: 1. (1, 0.5) 2. (2, 1) 3. (3, 1.5) 4. (4, 2) 5. (5, 2.5) 6. (6, 3)

Part B: Yes, this relation is in fact a function.

Part C: No, it would not be a function.

Step-by-step explanation:

Part A: Well, you start at 1 hr. right? yes. So then, at the very beginning at the problem, it says the candle burns at the rate of 0.5 in. per hour. So for 1 hour, the candle will burn .5 inches. At 2 hours, it will burn off 1 whole inch.

Part B: 1 hr. = .5 in. burn, 2 hrs. = 1 in. burns, 3 hrs. = 1.5 in. burns, 4 hrs. = 2 in. burns, 5 hrs.= 2.5 in. burns, 6 hrs. = 3 in. burns.

Part C: 1 hr.= .45 in. burn, 2 hrs. = .9 in burn, 3 hrs. = 1.35 in. burns, 4 hrs. = 1.8 in. burns, 5 hrs. = 2.25 in. burns, 6 hrs. = 2.7 in. burns. It does not go at a constant rate. The number of inches are all over the place.

Hope this helps you out!! (:

4 0

3 years ago

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

Korvikt [17]

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

4 0

3 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

3 years ago

Discuss the differences between parametric and non-parametric tests?

lesya [120]

Nonparametric tests are also called distribution-free tests because they don't assume that your data follow a specific distribution. You may have heard that you should use nonparametric tests when your data don't meet the assumptions of the parametric test, especially the assumption about normally distributed data.

8 0

3 years ago

What operations are needed to solve this word problem? Joe has 8 Dalmatians. Sarah has 3 fewer Dalmatians than Joe. How many Dal

yan [13]

You take it like this=

8
-3
~~
3
+
3
+
3
-
1
~~
(4×2)
-
3
~~
[[5]]

《5+8》

/ \
| 13 |
\ /

3 0

3 years ago