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3 years ago

Identify intervals on which the function is increasing, decreasing, or constant. G(x)= 1-(x-7)^2

1 answer:

4 0

Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
First derivative
G '(x) = - 2 (x-7)
-2 (x-7) = 0
x = 7
Second derivative
G '' (x) = - 2
G '' (7) = - 2 <0 is a relative maximum
answer:
the function is increasing at (-inf, 7)
the function is decreasing at [7, inf)

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Hi can you please help me, please

Marina CMI [18]

1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.

2. ∠RPS

3. ∠RPS, ∠QPV, and ∠QRU.

4. ∠RPS = ∠QPV [vertical angles]

5. ∠RPS + ∠RPQ = 180° [linear pair]

<h3>What are Remote Interior Angles of an Exterior Angle in a Triangle?</h3>

The remote interior angles to an exterior angle in a triangle are angles that lie directly opposite the exterior angle of the triangle and do not share a vertex or corner of a triangle with the exterior angle.

1. Remote interior angles of ∠RPQ are: ∠PRQ and ∠RQP.

2. ∠RPS is an exterior angle that has ∠PRQ and ∠RQP as its remote interior angles.

3. Exterior angles of the triangle are: ∠RPS, ∠QPV, and ∠QRU.

4. ∠RPS = ∠QPV [vertical angles]

5. ∠RPS + ∠RPQ = 180° [linear pair]

Learn more about remote interior angles on:

brainly.com/question/2638190

#SPJ1

8 0

3 years ago

Two combines are able to harvest 320 acres of crops in a certain amount of time. How many acres will (a)3, (b)4, (c)6 and (d)7 c

never [62]

Answer:

a) 480 acres

b)640 acres

c)960 acres

d)1120 acres

Step-by-step explanation:

Two combines are able to harvest acres of crops = 320

1 is able to harvest acres of crop = $\frac{320}{2} = 160$

Three combines are able to harvest acres of crops = $160 \times 3$

= $480$

Four combines are able to harvest acres of crops = $160 \times 4$

= $640$

Six combines are able to harvest acres of crops = $160 \times 6$

= $960$

Seven combines are able to harvest acres of crops = $160 \times 7$

= $1120$

8 0

3 years ago

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $18. Opti

Radda [10]

Answer:

$9,000

Step-by-step explanation:

Option A:

In a week he will earn 720 since 18 × 40 = 720

Option B:

(x=the amount of weekly sales)

8x ÷ 100=720

8x=72,000

x= 72,000 ÷ 8

72,000 ÷ 8 = 9,000

The salesperson needs to make a weekly sales of $9,000 to earn the same amount with both options.

4 0

3 years ago

A manufacturer claims that the batteries it makes will last 18 hours, with a standard deviation of 1.5 hours. If the durations o

mel-nik [20]

Answer:

B. 0.0918

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 18, \sigma = 1.5$