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2 years ago

HELP ASAP!! QUADRATIC FUNCTIONS!! what is the equation in standard form of these points?

Mathematics

2 answers:

horsena [70]2 years ago

7 0

Answer:

$-x^2+5x$

Step-by-step explanation:

Let the quadratic be $ax^2+bx+c$ . Therefore, if you plug in the first point,

$a(0)^2+b(0)+c=0\\c=0$

and if you plug in the 2 other points,

$a-b=-6\\4a+2b=6$

Multiply the first equation by 2:

$2a-2b=-12$

and add it up to the second equation:

$6a=-6\\a=-1$

Lastly, plug in a for the first equation:

$-1-b=-6\\b=5$

Therefore, the final quadratic is $\boxed{-x^2+5x}$

Mamont248 [21]2 years ago

4 0

Y=-x²+5x

Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

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It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig

Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let $\mu$ denotes the average hours of sleep per night.

As per given , we have

$H_0:\mu=7\\H_a:\mu$

, since $H_a$ is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : $\overline{x}=7.24$

Sample standard deviation : s= 1.93

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

i.e. $t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58$

For significance level $\alpha=0.05$ and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= $t_{\alpha, df}=t_{0.05,21}=- 1.7207$

Decision : Since the test statistic value (0.58) > critical value 1.7207, it means we are failed to reject the null hypothesis .

[Note : When $|t_{cal}|>|t_{cri}|$ , then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0

3 years ago

ABC ~ADEF

Mandarinka [93]

Answer:

Step-by-step explanation:

EF = is 1/3 of 15

Since the triangles are similar, then the perimeters are similar.

The perimeter of EDF is 12

The perimeter of ABC should be 3 times as large.

3*12 = 36

The perimeter of ABC = 36

4 0

2 years ago

How would you show a rate of change of 3.5 meters per minute on a graph name some of the points

olga2289 [7]

Y=3.5x
Pts are (1,3.5),(2,7),(3,10.5)

8 0

3 years ago

The Petrified Forest National Park in Arizona recently expanded their boundaries by 93,533 acres. The original acreage was 125,0

leonid [27]

Answer: The new acreage of the park is 218,533.

Step-by-step explanation:

Since we have given that

Original acreage = 125,000

Expanded boundary by = 93,533 acres

We need to find the new acreage of the park.

so,we will use

$New\ acreage=Original\ acreage+Expanded\\\\New\ acreage=125000+93533\\\\New\ acreage=218,533$

Hence, The new acreage of the park is 218,533.

4 0

3 years ago

X^2 - 8x + 5 = 0

PtichkaEL [24]

<h2>Answer:</h2>

√44

2 Real Roots

<h2>Step-by-step explanation:</h2>

Looking at the image attached, the discriminant is the value under the square root.

In the equation given:

a = 1

b = -8

c = 5

The discriminant is therefore:

√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44

√44 is a positive number. Because it is positive, there must be 2 real roots.

If it were negative, there would be 2 imaginary roots.

If it were zero, there would be 1 real root.

8 0

2 years ago