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joja [24]
3 years ago
13

Find the indicated values, where

Mathematics
2 answers:
nasty-shy [4]3 years ago
6 0

Answer:

b. 0

Step-by-step explanation:

Given: g(t) = t^2 - t and f(x) = 1 + x

Let's find f(3) and f(1)

f(3) = 1 + 3 = 4

f(1) = 1 + 1 = 2

Now we have to plug in these values, we get

g(f(3) - 2f(1)) = g(4 - 2(2))

= g(4 - 4)

= g(0)

g(0) = 0^2 - 0

g(0) = 0

The value of is b. 0

Hope you will understand the concept.

Thank you.

Rom4ik [11]3 years ago
4 0

Answer:

option (b) is correct.

The value of g(f(3)-2f(1))  is 0.

Step-by-step explanation:

Given: g(t)=t^2-t and f(x)=1+x

We have to find the value of g(f(3)-2f(1))

Consider the given function f(x)=1+x

First evaluate value of function f(x) at x = 3 and 1 then substitute it in g(f(3)-2f(1)) .

f(3) = 1 + 3 = 4

f(1) = 1 + 1 = 2

Substitute, we get

g(f(3)-2f(1))=g(4-2(2))

Solving further , we get,

 g(f(3)-2f(1))=g(4-4)=g(0)

Now evaluate g(t)=t^2-t at t = 0 , we get,

g(0)=0^2-0=0-0=0

Thus, value of g(f(3)-2f(1))  is 0.

Thus, option (b) is correct.

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3 years ago
PLLLZZ HHEELLPPP! QUESTION IS BELOW!
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Answer:

  • 32°

Step-by-step explanation:

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<u>Find x:</u>

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3 0
3 years ago
What are the measures of Angles a, b, and c? Show your work and explain your answers.
andreev551 [17]
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof:  All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles. 

2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof:  All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol).  So we know that one angle is 90°.  We also know that m∠a = 30°.  If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.  
 90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ; 
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and  must add up to 180</span>°.  As shown, Angle c is on a "straight line".  The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram).  As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
6 0
4 years ago
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