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2 years ago

Consider the functions below.

Mathematics

1 answer:

LiRa [457]2 years ago

7 0

Step-by-step explanation:

The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

Step-by-step explanation:

The function f(x) = |3x| + 3

Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.

So, The interval of increasing for the function f(x) : (-∞, +∞)

The function g(x) = -x² + 8x - 5

⇒ g'(x) = -2x + 8

To find critical points : g'(x) = 0

⇒ -2x + 8 = 0

⇒ x = 4

So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)

Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)

Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

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Four grey polygons join together as shown in the diagram. I’ve calculated angle a but I don’t know angle b. Angle a is 108

mr Goodwill [35]

Answer:

Part 1) $a=108^o$

Part 2) $b=24^o$

Step-by-step explanation:

Part 1) Find the measure of angle a

we know that

The formula to calculate the measure of the interior angle of a regular polygon is equal to

$\frac{180^o(n-2)}{n}$

where

n is the number of sides of the regular polygon

For the regular pentagon in the figure

n=5

substitute in the formula

$a=\frac{180^o(5-2)}{5}$

$a=\frac{180^o(3)}{5}$

$a=108^o$

Part 2) Find the measure of angle b

Remember that a regular polygon has equal sides and equal interior angles

In the figure , the length of the side of the two smaller equilateral triangles is equal to the length of the side of the regular pentagon

therefore

The triangle in white of the figure is an isosceles triangle

The measure of the vertex angle of the isosceles triangle is equal to

$360^o-(108^o+60^o+60^o)=132^o$

Remember that

The sum of the interior angles of triangle must be equal to 180 degrees

$2b+132^o=180^o$

solve for b

$2b=180^o-132^o$

$2b=48^o$

$b=24^o$

7 0

2 years ago

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed: Step 1: Use a compass to dra

Shkiper50 [21]

Answer:

step 3: place the tip of the compass at point x and strike the arc at point y

Step-by-step explanation:

congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT

we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.

with a ruler and a compass we can easily make a replica of the angle at PQR.

following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR

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2 years ago

Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integ

SCORPION-xisa [38]

Answer: PLEASE GIVE BRAINLIEST

72 integers

Step-by-step explanation:

Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.

3 0

2 years ago

Eric works for an airline, and he needs to calculate the weight of passengers and luggage before takeoff. The number of

igomit [66]

Answer:

Step-by-step explanation:

To complete the question, here are the answer choices:

A) =A1*A2*A3*A4

B) =A1*A2+A3+A1*A4

C) =A1*(A2+A3+A1)*A4

D) =A1*A2+(A3+A1)*A4

We first need to multiply A1 and A2, this will give weight of passengers.

To get weight of luggage, we multiply A1 and A4.

We also need the checked weight to add to that, which is in A3. So then we add up A3 with those 2.

So we will get

A1*A2 + A1*A4 + A3

This is given in a different order in Option B. Hence, option B is right.

4 0

2 years ago

Read 2 more answers

At her job, Jessie earns $9.50 per hour.

Stolb23 [73]

Answer:

9.50h ≤ 460

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers