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2 years ago

Use the graph of the polynomial function f(x) = -43 + 6x to complete the following:

Mathematics

1 answer:

mina [271]2 years ago

5 0

9514 1404 393

Answer:

positive
negative
decreasing
increasing

Step-by-step explanation:

1. These are intervals where the graph is above the x-axis, hence positive.

2. These are intervals where the graph is below the x-axis, hence negative.

3. The first interval is between the left peak and the valley, where the graph is decreasing. The second interval is right of the right peak, where the graph is also decreasing.

4. The first interval is left of the left peak, where the graph is increasing. The second interval is between the valley and the right peak, where the graph is also increasing.

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find the coordinates of the point on the directed segment from (3,2) to (6,8) that divides it into a ratio of 1:3.

egoroff_w [7]

Answer:

(3.75, 3.5)

Step-by-step explanation:

The weighting factors for the weighted average of the end points are the reverse of the length ratios.

For a 1 : 3 split, the first point is weighted by a factor of 3; the second point is weighted by a factor of 1. The weighted sum is divided by the total of the weights.

(3(3, 2) +1(6, 8))/(3+1) = (9+6, 6+8)/4 = (3.75, 3.5)

8 0

3 years ago

Read 2 more answers

Please help due at 8:00

goblinko [34]

Answer:

x = 6

Step-by-step explanation:

Tangent - Secant Power Theorem: 18^2 = 12(21 + x)

324 = 252 + 12x

72 = 12x

x = 6

7 0

3 years ago

Read 2 more answers

The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive

Murrr4er [49]

Answer:

(0.806, 0.839)

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 $1 - \frac{\alpha}{2}$ .

Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.

This means that $n = 3653, \pi = \frac{3005}{3653} = 0.823$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 - 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.806$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.823 + 2.575\sqrt{\frac{0.823*0.177}{3653}} = 0.839$

The answer is (0.806, 0.839)

5 0

2 years ago

-3(t+5)+(4t+2)=8

Tanya [424]

First use distributive property on -3(t+5), which would be -3t minus -15.

Then, add all like terms: -3t-15+4t+2 ---> -3t+4t+2-15 --> t-13.

t-13=8, add 13 to both sides. This cancels the -13 and makes 8 to 21.

Therefore, t=21

7 0

2 years ago

Read 2 more answers

Anybody Can Figure This One Out ?

Karo-lina-s [1.5K]

So from 1150 to 230 lbs of flour remaining...
The percentage decrease was by
percentage decrease = ((b-a)/b)*100
b is the original value
a is the other value
p= ((1150-230)/1150)*100
p = (920 /1150) * 100
p = (0.8) * 100
p = 80

The percentage decrease is 80% from 1150 to 230 lbs of flour.

Hope this helps :)

5 0

3 years ago