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Vanyuwa [196]
2 years ago
7

1. Let f(x) = 2x^+x-3 and g(x) = x-1 preform the indicated operation, then find the domain.

Mathematics
1 answer:
andrew-mc [135]2 years ago
3 0

Step-by-step explanation:

#1

  • f(x) = 2x^2 + x - 3
  • g(x) = x - 1

<u />\text{Find (f - g)(x):}

  • (f - g)(x) = f(x) - g(x) = 2x^2 + x - 3 - x + 1 = 2x^2 - 2

Correct choice is D

  • <em />\text{The rest of the parts are confusing since f(x) and g(x) are same as in the first part}
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mestny [16]

Using proportions, it is found that she spent 25.76 hours at Yoga.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

Researching the problem on the internet, it is found that the circle graph shows that she spent 28% of her time of 92 hours on yoga, hence:

h = 0.28 x 92 = 25.76.

Hence, she spent 25.76 hours at Yoga.

More can be learned about proportions at brainly.com/question/24372153

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1 year ago
What makes a pair linear?
zavuch27 [327]

Answer:

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

6 0
3 years ago
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Given: is an angle bisector of ∠JMK<br><br><br>Prove: m
astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then  

\angle JMN \cong \angle NMK            .......  [1]

Congruent angles are  two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ m\angle JMN = m\angle NMK                ......[2]

By the  Angle addition postulates states that if M is in the interior of ∠JMK then,

m\angle JMN+m\angle NMK =m\angle JMK            ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

m\angle JMN+m\angle JMN =m\angle JMK                 ......[4]

Like terms terms whose variables  are the same

Combine like terms in equation [4] we get

2 \cdot m\angle JMN=m\angle JMK                      ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

m\angle JMN= \frac{1}{2} m\angle JMK    


5 0
3 years ago
4x + 10 = 2x - 14<br> Find the value of x.
Gre4nikov [31]

Answer:

x= -12

Step-by-step explanation:

Simplifying

4x + 10 = 2x + -14

Reorder the terms:

10 + 4x = 2x + -14

Reorder the terms:

10 + 4x = -14 + 2x

Solving

10 + 4x = -14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

10 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x

10 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0

10 + 2x = -14 + 0

10 + 2x = -14

Add '-10' to each side of the equation.

10 + -10 + 2x = -14 + -10

Combine like terms: 10 + -10 = 0

0 + 2x = -14 + -10

2x = -14 + -10

Combine like terms: -14 + -10 = -24

2x = -24

Divide each side by '2'.

x = -12

Simplifying

x = -12

3 0
2 years ago
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Oksanka [162]

Answer:

D

Step-by-step explanation:

0.5 can be written as a fraction and 0.5 doesn't repeat

6 0
3 years ago
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