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kicyunya [14]
4 years ago
6

H(x) = x2 + 1 k(x) = x – 2 (h + k)(3)

Mathematics
1 answer:
Elza [17]4 years ago
7 0

Answer:

(h + k)(2) = 5

(h - k)(3) = 9

evaluate 3h(2) + 2k(3) = 17

Step-by-step explanation:

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Find the slope of the line
Alexeev081 [22]
The slope is 2. rise over run.
4 0
3 years ago
A poultry farmer wishes to estimate the average incubation period (the number of days between a hen laying her egg and the time
sergiy2304 [10]

Answer:

49 eggs.

Step-by-step explanation:

The formula for Margin of Error =

z × standard deviation/√number of samples

z = z score of 98% confidence interval = 2.326

Margin of Error = Half a day = 1/2day = 0.5 day

Standard deviation = 1.5 days

Number of samples = number of eggs he needs to sample = unknown.

Imputing these above values into the formula

Margin of Error = z × standard deviation/√number of samples

0.5 = 2.326 × 1.5/√n

Cross Multiply

0.5 × √n = 2.326 × 1.5

√n = 2.326 × 1.5/0.5

√n = 3.489/0.5

√n = 6.978

Square both sides

(√n)² = 6.978²

n = 48.692484

n ≈ Approximately to the nearest whole number = 49

Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs

8 0
3 years ago
a group of 10 people ran an average of 2.7 miles in one week. if the first 4 people in the group averaged 3 miles, what did the
FromTheMoon [43]
In this question, 10 people average running distance is 2.7miles. Then the sum of their running distance would be: 10 people * 2.7 miles/people= 27 miles.

The group then divided into 2, 4 people with 3 miles average and 6 people with unknown average. Since the people are same like the 10 people group, their total running distance would be the same. The calculation would be:

total distance = group1 * average1 + group2 * average2
27 miles= 4 people * 3 miles/people + 6 people* average2
6 people * average2 = 27 miles -12 miles = 15 miles
average2= 15 miles/6people= 2.5 miles/people
4 0
4 years ago
Jackson earns $25 per hour as a tutor at the college library. he set a weekly spending budget of $130 a week and push the remain
a_sh-v [17]

Answer:

Jackson should work at least 8 hours this week to achieve his target.

Step-by-step explanation:

Jackson's hourly income = $25

His weekly spending budget = $130

Minimum amount to be pushed to the savings account = $50

So, minimum total amount Jackson should earn this week = 130 + 50 = 180

Number of hours to work this week = \frac{Minimum total amount}{hourly income}

= \frac{180}{25}

= 8 rounded to next integer

Hence, Jackson should work at least 8 hours this week to achieve his target.

6 0
3 years ago
G = {(5, 3), (2, 3), (6, 4)} Is G-1 a function and why?
galben [10]
To get G^-1 all we need to do is flip the points around Example for (5,3) make it (3,5)
Here are the points in inverse (3,5); (3,2); (4,6)
To tell if a group of point can be a function we need to 1st look at the x values.  If all the x values are different, then it is a function (the x's are not all different)
If there are x values that are the same, they MUST have the same y value.
look at the points (3,5) and (3,2) those have the same x but they go to different y values so it is not a function.

You can think about it like this.  Can you go to more than 1 place at the EXACT same time?  Obvious answer is no. Can you have multiple people go to the same room?  Sure that is possible.  Same with functions.  An x value can ONLY go to 1 y value, and many different x values can go to the same y value.
4 0
3 years ago
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