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ehidna [41]
2 years ago
7

Can someone help me with this math hw ​

Mathematics
1 answer:
AveGali [126]2 years ago
8 0

Answer:

Step-by-step explanation:

F(x) = x² - 2x + 1

      = (x - 1)²

By comparing this equation with the vertex form of the quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex

Vertex of the parabola → (1, 0)

x-intercepts → (x - 1)² = 0

                       x = 1

y-intercepts → y = (0 - 1)²

                       y = 1

Now we can draw the graph of the given function,

From this graph,

As x → 0,

\lim_{x \to 0^{-}} (x-1)^2=1

\lim_{x \to 0^{+}} (x-1)^2=1

f(0) = (0 - 1)²

     = 1

Since, \lim_{x \to 0^{-}} (x-1)^2=\lim_{x \to 0^{+}} (x-1)^2=1

Therefore, given function is continuous at x = 0.

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what are the two major advantages of experimental research over correlational studies? multiple select question. experiments are
Aloiza [94]

The experimental research has two key advantages over correlational studies.

1. The possibility of random assignment

2. Causal connections can be assumed.

<h3>What benefit does experimental research have over correlational research?</h3>

Correlational studies merely examine the data that already exists, whereas experimental studies give the researcher the opportunity to influence the study's factors. Researchers can make inferences about how changes in one variable affect changes in another through the use of experimental investigations.

The factors in a correlation study are out of the control of the researcher or research team. The researcher merely measures the information she discovers in the outside world. She can then determine whether changes in one are related to changes in the other, or if the two variables are correlated. In such a study, experimenters gather existing data and use statistical methods to examine it, such as economic statistics from governments. The findings of correlation studies can lead to hypotheses that can be verified through a more focused experimental one.

To learn more about correlational research visit:

brainly.com/question/14375687

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4 0
1 year ago
The florida manatee population is 3,000 and is decreasing by 11% each year. Write a function for this situation.
True [87]

Answer:

P=3000(0.89)^t

Step-by-step explanation:

It was given that, florida manatee population is 3,000 and is decreasing by 11% each year.

We want to write a function for this situation.

Since the population is decreasing annually, it is modelled by:

P=P_0(1-r\%)^t

We substitute the give initial population and rate of decrease to get:

P=3000(1-0.11)^t

This simplifies to:

P=3000(0.89)^t

5 0
2 years ago
Read 2 more answers
A road sign is in the shape of an equilateral triangle with a vertical measurement of 41.2cm. How long is each side?
shusha [124]
H=(√3)*a/2 = 41.2

So, a=2*41.2/√3=47.6
3 0
3 years ago
Find the next number in the sequence.<br><br>25​, 36​, 49​, 64​, ...
ra1l [238]

Answer:

<em>81 </em>

Step-by-step explanation:

25​, 36​, 49​, 64​, ...

36 - 25 = 11

49 - 36 = 13 = 11 + 2

64 - 49 = 15 = 13 + 2

64 + 15 + 2 = <em>81</em>

6 0
3 years ago
Read 2 more answers
Please help.
kirill115 [55]

we have

y=-16t^{2} +120

we know that

When the apple hit the ground the value of y is equal to zero

so

Find the x-intercept of the function

equate the function to zero

-16t^{2} +120=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-16t^{2} =-120

t^{2} =-120/-16

t^{2} =7.5

t=(+/-)\sqrt{7.5}

t=(+/-)2.74

therefore

<u>the answer is</u>

2.74\ sec

using a graphing tool

see the attached figure to better understand the problem

7 0
2 years ago
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