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2 years ago

H(x)=x^2+1 k(x)=x-2 (h+k)(2)= (h-k)(3)= Evaluate 3h(2)+2k(3)=

Mathematics

2 answers:

worty [1.4K]2 years ago

5 0

(h + k)(2) = 5

(h - k)(3) = 9

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

grandymaker [24]2 years ago

5 0

Answer:

2h +2k

3h - 3k

6h + 6k

in third one we are evaluating so 3h will be multiplied by 2 and 2k will be multiplied by 3

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A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

$\hat{p} = 89\% = 0.89$

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

$z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = 1.64$

Putting the values, we get:

$M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016$

Thus, the margin of error for the survey is 0.016

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2 years ago

Use a normal approximation to find the probability of the indicated number of voters. In this case assume that 150 eligible vote

alexdok [17]

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2 years ago

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 20 tickets this week. What is the percent decrease

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2 years ago

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Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a

ValentinkaMS [17]

Answer:

The equation to describe the relationship between Elena distance:

a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.

Solution:

Given, Elena bikes 20 minutes each day for exercise.

We have to write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour,

We know that, distance travelled = speed time

a. At a constant speed of 13 miles per hour for the entire 20 minutes

Her speed is 13 miles per hour.

Then, distance D miles = 13 miles per hour 20 minutes

b. At a constant speed of 15 minutes per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes

Now, total distance travelled = distance travelled with 15 mph + distance travelled with 12 mph

c. At a constant speed of M miles per hour for the first 5 minutes, then at N miles per hour for the last 15 minutes

Now, total distance travelled = distance travelled with M mph + distance travelled with N mph

Hence, a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.

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2 years ago

Choose yes or no to tell whether each term is equivalent to the slope in a proportional relationship.

Anna007 [38]

Answer:

A. Constant of proportionality : Yes

B. Origin : No.

C. Inverse : No.

D. Rise per run : Yes

E. Unit rate : Yes.

Step-by-step explanation:

We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.

A. Constant of proportionality: Yes

B. Origin: No.

C. Inverse: No.

D. Rise per run: Yes

E. Unit rate: Yes.

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2 years ago