Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:
where a,b, and c are constants.
The factored form of a quadratic equation is:
Where and
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
Operating:
Joining like terms:
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
Answer:
B
Step-by-step explanation:
Note the common difference between consecutive terms of the sequence.
d = 16 - 12 = 20 - 16 = 4
This indicates the sequence is arithmetic with sum to n terms
=
[2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 4, thus
=
[ (2 × 12) + (41 × 4) ]
= 21( 24 + 164) = 21 × 188 = 3948 → B
Using the z-distribution, it is found that the p-value for this test is of 0.0375.
At the null hypothesis, it is <u>tested if the expenses are the same as the national average</u>, that is, of $5,423. Hence:
At the alternative hypothesis, it is <u>tested if it is higher</u>, hence:
We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:
The parameters are:
For this problem, the values of the <u>parameters</u> are:
The value of the <u>test statistic</u> is:
The p-value is the probability of finding a sample mean above $5,516, which is <u>1 subtracted by the p-value of z = 1.78</u>.
1 - 0.9625 = 0.0375
Hence, the p-value for this test is of 0.0375.
A similar problem is given at brainly.com/question/25549474