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N76 [4]
2 years ago
11

Which equation represents the function? f(x)=−1/2x+4 f begin argument x end argument equals negative fraction 1 over 2 end fract

ion x plus 4 f(x)=2x+12 f begin argument x end argument equals 2 x plus 1 half f(x)=4x−2 f begin argument x end argument equals 4 x minus 2 f(x)=−2x+4
Mathematics
1 answer:
PolarNik [594]2 years ago
4 0

The equation that represents the function is y = -x - 1

<h3>How to determine the equation of the function?</h3>

The complete question is added as an attachment

From the table of values, we have the following points

(x, y) = (-1,0) and (0,-1)

Calculate the slope (m) using

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-1 -0)/(0 + 1)

Evaluate the exponent

m = -1

The equation is then calculated as:

y = mx + c

This gives

y = -x + c

Using the point (0,-1), we have:

0 = 1 + c

Solve for c

c = -1

So, we have

y = -x - 1

Hence, the equation that represents the function is y = -x - 1

Read more about linear functions at:

brainly.com/question/1884491

#SPJ1

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a) 0.125

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b) 0.25^3 = 0.015625

c) 0.25^{10} = 0.00000095367431640625\\\\

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Question2 of 25If ASTU AABC, which congruences are true by CPCTC? Check all that apply.
Marysya12 [62]

If triangle STU  ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

Let's understand what is the congruence of the triangle.

If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

CPCTC stands for corresponding parts of congruent triangles are congruent.

Let's check in the triangle STU and triangle ABC;

triangle STU  ≅ triangle ABC

So,

∠S ≅ ∠A

∠T ≅ ∠B

∠U ≅ ∠C

segment ST ≅ Segment AB

segment TU ≅ Segment BC

segment SU ≅ Segment AC

Thus, if triangle STU  ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.

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