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Roman55 [17]
1 year ago
14

Which statements about the graph of the function f(x) = 2x^2– x – 6 are true? Select two options.

Mathematics
2 answers:
avanturin [10]1 year ago
7 0

Answer:C, D

Step-by-step explanation:

Alekssandra [29.7K]1 year ago
3 0

Answer:

Step-by-step explanation:

Please, share the answer options next time.

1)  f(x) = 2x^2– x – 6 is a quadratic function.  

2) The coefficients of this polynomial are a = 2, b = -1 and c = -6

2)  Its graph opens up.

3)  The x-value of the axis of symmetry and the vertex is x = -b / (2a), which here comes out to x = -(-1) / [2(2)], or x = 1/4

4) the y coordinate of the vertex is f(1/4), or -6 1/8

5) The vertex is at (1/4, -6 1/8)

6)  The y-intercept is at f(0):  2(0)^2 - 0 - 6 = -6  =>  (0, -6)

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Please... Solve this: the bearing of a tree from a house is 295°. Find the bearing of the house from the tree.
jonny [76]

Given parameters:

Bearing of the tree from the house  = 295°

Unknown:

Bearing of the house from the tree = ?

Solution:

This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.

To find the back bearing in this regard, simple deduct the forward bearing from 360°;

    Backward bearing  = 360° -295°

                                    = 65°

The bearing from house to the tree is 65°

4 0
1 year ago
Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and
scoundrel [369]

Answer:

The correct answer is the last option, that is, 112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

7 0
2 years ago
Read 2 more answers
"A consultant compiled the following data set that shows" the number of visits made to the National Museum of American History f
aalyn [17]

Answer:

Step-by-step explanation:

The best option is for the consultant to remove these data points because they are outliers.  Unusual data points which are located far from rest of the data points are known as outliers.

3 0
2 years ago
Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visi
s2008m [1.1K]

Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

7 0
1 year ago
The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. Th
ipn [44]
The answer is 21 save
7 0
1 year ago
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