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3 years ago

Consider the Piece-Wise graph described by the following equation:

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

Hey, Dalilah. I hope I'm not too late, but the answer is (3,5).

Step-by-step explanation:

You have to use the equation that includes the x value of 3.

4x+1 only includes x values that are less than 3.

2x-1 includes x values that are greater than or equal to 3.

I plugged 3 into both of these equations (4x+1; x < 3 & 2x-1; x ≥ 3) in order to see which equation would've been true.

4(3)+1 = 13; 13 < 3 [False] 13 isn't less than 3 -- and 2(3)-1 = 5; 5 ≥ 3 [True] 5 is greater than or equal to 3.

Since the equation 2(3)-1; 5≥3 is true, you should use this equation. I used Demos in order to graph Y=2(3)-1. At the bottom of that I put x=3, and it showed me (3,5).

I'll post the pictures for proof and better clarification if this is confusing, love.

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50 POINTS! SHOW WORK OR ILL REPORT

Hatshy [7]

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

6 0

3 years ago

Read 2 more answers

Triangle ABC has side lengths:

Harlamova29_29 [7]

The length of HJ is 3.5 cm

<h3>What is Congruency?</h3>

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm

As, ΔABC ≅ ΔHJK

So,

AB = HJ

BC = JK

AC = HK

Thus, HJ= AB = 3.5 cm

Learn more about this concept here:

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8 0

2 years ago

HELPPPPPP!!!!!!!!!!!!!!!!!

Mnenie [13.5K]

Answer:

The student is wrong.

Step-by-step explanation:

To divide exponents (or powers) with the same base, subtract the exponents. In the second step, the wrong result is calculated.

$\frac{x^{\frac{6}{5}}}{x^{\frac{2}{5}}} = x^{\frac{4}{5}}$

7 0

3 years ago

Given the figure, if ∠ABC is 20° and C is the center of the circle, what is the measure of the central angle ∠ACB? A) 40° B) 70°

kramer

Answer:

D) 140°

Step-by-step explanation:

The total number of degrees in a triangle is 180. Since both sides of the triangle are the radius of the circle, the triangle is isosceles. Therefore the two opposite angles are equal. Thus, the central angle is 180° − 2(20°) = 140°.

7 0

3 years ago

Read 2 more answers

The frequency table shows the ages of the actors

Oksanka [162]

The percentage of youth that are category 10 to 12 is the quotient of their frequency to the total frequency

55% of the actors are 10 to 12 years old

<h3>How to determine the percentage?</h3>

From the complete question, we have the following parameters

Age 10 - 12 = 22 youths
Total youth = 40

The percentage of youth in the age category 10 - 12 is then calculated as:

Percentage = Frequency of age category 10 - 12/Total frequency

This gives

Percentage = 22/40

Evaluate the quotient

Percentage = 55%

Hence, 55% of the actors are 10 to 12 years old

Read more about frequency tables at:

brainly.com/question/16148316

3 0

2 years ago